diff --git a/qiskit_ibm_runtime/fake_provider/__init__.py b/qiskit_ibm_runtime/fake_provider/__init__.py
index a61d0ddba..80f822394 100644
--- a/qiskit_ibm_runtime/fake_provider/__init__.py
+++ b/qiskit_ibm_runtime/fake_provider/__init__.py
@@ -105,6 +105,7 @@
 .. autosummary::
     :toctree: ../stubs/
 
+    FakeAlgiers
     FakeAlmadenV2
     FakeArmonkV2
     FakeAthensV2
@@ -112,18 +113,23 @@
     FakeBelemV2
     FakeBoeblingenV2
     FakeBogotaV2
+    FakeBrisbane
     FakeBrooklynV2
     FakeBurlingtonV2
     FakeCairoV2
     FakeCambridgeV2
     FakeCasablancaV2
+    FakeCusco
     FakeEssexV2
     FakeGeneva
     FakeGuadalupeV2
     FakeHanoiV2
     FakeJakartaV2
     FakeJohannesburgV2
+    FakeKawasaki
     FakeKolkataV2
+    FakeKyiv
+    FakeKyoto
     FakeLagosV2
     FakeLimaV2
     FakeLondonV2
@@ -133,12 +139,15 @@
     FakeMontrealV2
     FakeMumbaiV2
     FakeNairobiV2
+    FakeOsaka
     FakeOslo
     FakeOurenseV2
     FakeParisV2
+    FakePeekskill
     FakePerth
     FakePrague
     FakePoughkeepsieV2
+    FakeQuebec
     FakeQuitoV2
     FakeRochesterV2
     FakeRomeV2
@@ -149,6 +158,7 @@
     FakeSydneyV2
     .. FakeTenerifeV2 # no v2 version
     .. FakeTokyoV2 # no v2 version
+    FakeTorino
     FakeTorontoV2
     FakeValenciaV2
     FakeVigoV2
diff --git a/qiskit_ibm_runtime/fake_provider/backends/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/__init__.py
index 3d02c5412..7b137a244 100644
--- a/qiskit_ibm_runtime/fake_provider/backends/__init__.py
+++ b/qiskit_ibm_runtime/fake_provider/backends/__init__.py
@@ -16,6 +16,7 @@
 """
 
 # BackendV2 Backends
+from .algiers import FakeAlgiers
 from .almaden import FakeAlmadenV2
 from .armonk import FakeArmonkV2
 from .athens import FakeAthensV2
@@ -23,18 +24,23 @@
 from .belem import FakeBelemV2
 from .boeblingen import FakeBoeblingenV2
 from .bogota import FakeBogotaV2
+from .brisbane import FakeBrisbane
 from .brooklyn import FakeBrooklynV2
 from .burlington import FakeBurlingtonV2
 from .cairo import FakeCairoV2
 from .cambridge import FakeCambridgeV2
 from .casablanca import FakeCasablancaV2
+from .cusco import FakeCusco
 from .essex import FakeEssexV2
 from .geneva import FakeGeneva
 from .guadalupe import FakeGuadalupeV2
 from .hanoi import FakeHanoiV2
 from .jakarta import FakeJakartaV2
 from .johannesburg import FakeJohannesburgV2
+from .kawasaki import FakeKawasaki
 from .kolkata import FakeKolkataV2
+from .kyiv import FakeKyiv
+from .kyoto import FakeKyoto
 from .lagos import FakeLagosV2
 from .lima import FakeLimaV2
 from .london import FakeLondonV2
@@ -44,12 +50,15 @@
 from .montreal import FakeMontrealV2
 from .mumbai import FakeMumbaiV2
 from .nairobi import FakeNairobiV2
+from .osaka import FakeOsaka
 from .oslo import FakeOslo
 from .ourense import FakeOurenseV2
 from .paris import FakeParisV2
+from .peekskill import FakePeekskill
 from .perth import FakePerth
 from .prague import FakePrague
 from .poughkeepsie import FakePoughkeepsieV2
+from .quebec import FakeQuebec
 from .quito import FakeQuitoV2
 from .rochester import FakeRochesterV2
 from .rome import FakeRomeV2
@@ -57,6 +66,7 @@
 from .sherbrooke import FakeSherbrooke
 from .singapore import FakeSingaporeV2
 from .sydney import FakeSydneyV2
+from .torino import FakeTorino
 from .toronto import FakeTorontoV2
 from .valencia import FakeValenciaV2
 from .vigo import FakeVigoV2
diff --git a/qiskit_ibm_runtime/fake_provider/backends/algiers/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/algiers/__init__.py
new file mode 100644
index 000000000..c5df08eeb
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/algiers/__init__.py
@@ -0,0 +1,15 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2019, 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""Mock algiers backend"""
+
+from .fake_algiers import FakeAlgiers
diff --git a/qiskit_ibm_runtime/fake_provider/backends/algiers/conf_algiers.json b/qiskit_ibm_runtime/fake_provider/backends/algiers/conf_algiers.json
new file mode 100644
index 000000000..d7cfac594
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/algiers/conf_algiers.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_algiers", "backend_version": "1.6.16", "n_qubits": 27, "basis_gates": ["cx", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 4], [2, 1], [2, 3], [3, 2], [3, 5], [4, 1], [4, 7], [5, 3], [5, 8], [6, 7], [7, 4], [7, 6], [7, 10], [8, 5], [8, 9], [8, 11], [9, 8], [10, 7], [10, 12], [11, 8], [11, 14], [12, 10], [12, 13], [12, 15], [13, 12], [13, 14], [14, 11], [14, 13], [14, 16], [15, 12], [15, 18], [16, 14], [16, 19], [17, 18], [18, 15], [18, 17], [18, 21], [19, 16], [19, 20], [19, 22], [20, 19], [21, 18], [21, 23], [22, 19], [22, 25], [23, 21], [23, 24], [24, 23], [24, 25], [25, 22], [25, 24], [25, 26], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["cx", "id", "delay", "measure", "reset", "rz", "sx", "x", "if_else", "for_loop", "switch_case"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Falcon, revision: 5.11", "n_registers": 1, "credits_required": true, "online_date": "2021-04-05T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": "5.11"}, "parametric_pulses": ["gaussian", "gaussian_square", "gaussian_square_drag", "drag", "constant"], "allow_q_object": true, "clops": 2207, "clops_h": "None", "clops_v": 2207, "coords": [[1, 2], [2, 2], [2, 3], [2, 4], [3, 2], [3, 4], [4, 1], [4, 2], [4, 4], [4, 5], [5, 2], [5, 4], [6, 2], [6, 3], [6, 4], [7, 2], [7, 4], [8, 1], [8, 2], [8, 4], [8, 5], [9, 2], [9, 4], [10, 2], [10, 3], [10, 4], [11, 4]], "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": true, "quantum_volume": 128, "qubit_channel_mapping": [["m0", "d0", "u1", "u0"], ["u4", "u3", "u2", "u8", "u1", "u0", "m1", "d1"], ["m2", "u4", "u2", "u5", "d2", "u6"], ["u7", "u10", "u5", "d3", "m3", "u6"], ["u13", "m4", "u9", "u3", "u8", "d4"], ["u7", "d5", "u11", "u10", "m5", "u16"], ["d6", "u14", "u12", "m6"], ["u13", "d7", "u12", "u9", "u20", "u15", "m7", "u14"], ["u18", "u22", "m8", "u17", "d8", "u11", "u19", "u16"], ["u19", "u17", "d9", "m9"], ["m10", "d10", "u21", "u24", "u20", "u15"], ["u18", "u22", "u29", "u23", "m11", "d11"], ["u25", "d12", "m12", "u21", "u24", "u32", "u26", "u27"], ["u30", "m13", "u25", "u28", "d13", "u27"], ["u30", "u31", "u28", "m14", "u34", "u29", "u23", "d14"], ["u26", "m15", "u37", "d15", "u32", "u33"], ["u31", "u35", "u40", "u34", "m16", "d16"], ["u36", "m17", "u38", "d17"], ["m18", "u44", "u37", "u39", "d18", "u33", "u38", "u36"], ["u35", "u41", "u40", "u42", "d19", "u43", "m19", "u46"], ["u43", "d20", "m20", "u41"], ["u44", "m21", "u45", "u39", "d21", "u48"], ["u52", "u42", "d22", "m22", "u46", "u47"], ["d23", "u49", "u45", "u50", "m23", "u48"], ["d24", "u49", "u53", "m24", "u50", "u51"], ["m25", "u54", "u52", "u53", "d25", "u47", "u55", "u51"], ["u55", "d26", "u54", "m26"]], "supported_features": ["qobj", "qasm3", "parameters"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "n_uchannels": 56, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 6, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 9, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 11, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 15, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 16, "scale": [1.0, 0.0]}], [{"q": 20, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 22, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 26, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.446248807603483, 5.446248807603483], [4.336040434589742, 5.336040434589742], [4.553233007164219, 5.553233007164219], [4.696613151975914, 5.696613151975914], [4.4590786224531165, 5.4590786224531165], [4.617648479620899, 5.617648479620899], [4.487114609638608, 5.487114609638608], [4.3824511106257305, 5.3824511106257305], [4.518662816655313, 5.518662816655313], [4.404233395293412, 5.404233395293412], [4.449044175232115, 5.449044175232115], [4.595122420582114, 5.595122420582114], [4.564200295428892, 5.564200295428892], [4.613826937078962, 5.613826937078962], [4.4867753786507025, 5.4867753786507025], [4.307068120797327, 5.307068120797328], [4.340624240934397, 5.340624240934397], [4.388191510248538, 5.388191510248538], [4.50968724498873, 5.50968724498873], [4.718663310842294, 5.718663310842294], [4.46190027416345, 5.46190027416345], [4.556479337728322, 5.556479337728322], [4.478398881710825, 5.478398881710825], [4.713688210641528, 5.713688210641528], [4.523834034855124, 5.523834034855124], [4.397169531307483, 5.397169531307483], [4.340543414933506, 5.340543414933506]], "meas_lo_range": [[6.682333511, 7.682333511], [6.7848285740000005, 7.7848285740000005], [6.656635066000001, 7.656635066000001], [6.78238553, 7.782385530000001], [6.7297906880000005, 7.7297906880000005], [6.735618893000001, 7.735618893000001], [6.854962329, 7.854962329], [6.599837422, 7.599837422], [6.596746328, 7.596746328], [6.8187382770000005, 7.8187382770000005], [6.6686637630000005, 7.6686637630000005], [6.724839654, 7.724839654], [6.8291957420000005, 7.8291957420000005], [6.717515072, 7.717515072], [6.775359312000001, 7.775359312000001], [6.7769424350000005, 7.7769424350000005], [6.653391272, 7.653391272], [6.8456216350000005, 7.8456216350000005], [6.6029343460000005, 7.6029343460000005], [6.586879072, 7.586879072], [6.825932929, 7.825932929], [6.725693265, 7.725693265], [6.713867862000001, 7.713867862000001], [6.781297014000001, 7.781297014000001], [6.640965798000001, 7.640965798000001], [6.763616893, 7.763616893000001], [6.635071079760153, 7.635071079760153]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) \\\\ & + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,4)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{5}^{(2,3)}(t)+U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{6}^{(3,2)}(t)+U_{7}^{(3,5)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{9}^{(4,7)}(t)+U_{8}^{(4,1)}(t))\\sigma_{4}^{X} + \\Omega_{d,5}(U_{11}^{(5,8)}(t)+U_{10}^{(5,3)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{12}^{(6,7)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{14}^{(7,6)}(t)+U_{13}^{(7,4)}(t)+U_{15}^{(7,10)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{18}^{(8,11)}(t)+U_{16}^{(8,5)}(t)+U_{17}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{19}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{20}^{(10,7)}(t)+U_{21}^{(10,12)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{22}^{(11,8)}(t)+U_{23}^{(11,14)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{24}^{(12,10)}(t)+U_{25}^{(12,13)}(t)+U_{26}^{(12,15)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{28}^{(13,14)}(t)+U_{27}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{31}^{(14,16)}(t)+U_{30}^{(14,13)}(t)+U_{29}^{(14,11)}(t))\\sigma_{14}^{X} + \\Omega_{d,15}(U_{33}^{(15,18)}(t)+U_{32}^{(15,12)}(t))\\sigma_{15}^{X} \\\\ & + \\Omega_{d,16}(U_{35}^{(16,19)}(t)+U_{34}^{(16,14)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{36}^{(17,18)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,18}(U_{37}^{(18,15)}(t)+U_{39}^{(18,21)}(t)+U_{38}^{(18,17)}(t))\\sigma_{18}^{X} + \\Omega_{d,19}(U_{42}^{(19,22)}(t)+U_{40}^{(19,16)}(t)+U_{41}^{(19,20)}(t))\\sigma_{19}^{X} \\\\ & + \\Omega_{d,20}(U_{43}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{44}^{(21,18)}(t)+U_{45}^{(21,23)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{46}^{(22,19)}(t)+U_{47}^{(22,25)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{49}^{(23,24)}(t)+U_{48}^{(23,21)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{50}^{(24,23)}(t)+U_{51}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{54}^{(25,26)}(t)+U_{53}^{(25,24)}(t)+U_{52}^{(25,22)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{55}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad0*X1||U1", "omegad4*X1||U3", "omegad2*X1||U2", "omegad3*X2||U5", "omegad1*X2||U4", "omegad2*X3||U6", "omegad5*X3||U7", "omegad7*X4||U9", "omegad1*X4||U8", "omegad8*X5||U11", "omegad3*X5||U10", "omegad7*X6||U12", "omegad6*X7||U14", "omegad4*X7||U13", "omegad10*X7||U15", "omegad11*X8||U18", "omegad5*X8||U16", "omegad9*X8||U17", "omegad8*X9||U19", "omegad7*X10||U20", "omegad12*X10||U21", "omegad8*X11||U22", "omegad14*X11||U23", "omegad10*X12||U24", "omegad13*X12||U25", "omegad15*X12||U26", "omegad14*X13||U28", "omegad12*X13||U27", "omegad16*X14||U31", "omegad13*X14||U30", "omegad11*X14||U29", "omegad18*X15||U33", "omegad12*X15||U32", "omegad19*X16||U35", "omegad14*X16||U34", "omegad18*X17||U36", "omegad15*X18||U37", "omegad21*X18||U39", "omegad17*X18||U38", "omegad22*X19||U42", "omegad16*X19||U40", "omegad20*X19||U41", "omegad19*X20||U43", "omegad18*X21||U44", "omegad23*X21||U45", "omegad19*X22||U46", "omegad25*X22||U47", "omegad24*X23||U49", "omegad21*X23||U48", "omegad23*X24||U50", "omegad25*X24||U51", "omegad26*X25||U54", "omegad24*X25||U53", "omegad22*X25||U52", "omegad25*X26||U55"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.1622826015485503, "delta1": -2.19094846948798, "delta10": -2.165641789507037, "delta11": -2.153588280908217, "delta12": -2.149269831098767, "delta13": -2.1494043600753567, "delta14": -2.166723789069752, "delta15": -2.139516334526724, "delta16": 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{"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d20": {"operates": {"qubits": [20]}, "purpose": "drive", "type": "drive"}, "d21": {"operates": {"qubits": [21]}, "purpose": "drive", "type": "drive"}, "d22": {"operates": {"qubits": [22]}, "purpose": "drive", "type": "drive"}, "d23": {"operates": {"qubits": [23]}, "purpose": "drive", "type": "drive"}, "d24": {"operates": {"qubits": [24]}, "purpose": "drive", "type": "drive"}, "d25": {"operates": {"qubits": [25]}, "purpose": "drive", "type": "drive"}, "d26": {"operates": {"qubits": [26]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "d5": {"operates": {"qubits": [5]}, "purpose": "drive", "type": "drive"}, "d6": {"operates": {"qubits": [6]}, "purpose": "drive", "type": "drive"}, "d7": {"operates": {"qubits": [7]}, "purpose": "drive", "type": "drive"}, "d8": {"operates": {"qubits": [8]}, "purpose": "drive", "type": "drive"}, "d9": {"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m20": {"operates": {"qubits": [20]}, "purpose": "measure", "type": "measure"}, "m21": {"operates": {"qubits": [21]}, "purpose": "measure", "type": "measure"}, "m22": {"operates": {"qubits": [22]}, "purpose": "measure", "type": "measure"}, "m23": {"operates": {"qubits": [23]}, "purpose": "measure", "type": "measure"}, "m24": {"operates": {"qubits": [24]}, "purpose": "measure", "type": "measure"}, "m25": {"operates": {"qubits": [25]}, "purpose": "measure", "type": "measure"}, "m26": {"operates": {"qubits": [26]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [5, 3]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [5, 8]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [7, 4]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [7, 10]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [8, 5]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [8, 11]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [10, 7]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [10, 12]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [11, 8]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [11, 14]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [12, 10]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [12, 13]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [12, 15]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [13, 14]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [14, 11]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [14, 13]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [14, 16]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [15, 12]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [15, 18]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [16, 14]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [16, 19]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [17, 18]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [18, 15]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [18, 17]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [18, 21]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [19, 16]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [19, 22]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [21, 18]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [21, 23]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [22, 19]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [22, 25]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [23, 21]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [25, 22]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [3, 5]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [4, 1]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [4, 7]}, "purpose": "cross-resonance", "type": "control"}}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/algiers/defs_algiers.json b/qiskit_ibm_runtime/fake_provider/backends/algiers/defs_algiers.json
new file mode 100644
index 000000000..b8ab290f8
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/algiers/defs_algiers.json
@@ -0,0 +1 @@
+{"qubit_freq_est": [4.946248807603483, 4.836040434589742, 5.053233007164219, 5.196613151975914, 4.9590786224531165, 5.117648479620899, 4.987114609638608, 4.8824511106257305, 5.018662816655313, 4.904233395293412, 4.949044175232115, 5.095122420582114, 5.064200295428892, 5.113826937078962, 4.9867753786507025, 4.807068120797327, 4.840624240934397, 4.888191510248538, 5.00968724498873, 5.218663310842294, 4.96190027416345, 5.056479337728322, 4.978398881710825, 5.213688210641528, 5.023834034855124, 4.897169531307483, 4.840543414933506], "meas_freq_est": [7.182333511, 7.2848285740000005, 7.156635066000001, 7.282385530000001, 7.2297906880000005, 7.235618893000001, 7.354962329, 7.099837422, 7.096746328, 7.3187382770000005, 7.1686637630000005, 7.224839654, 7.3291957420000005, 7.217515072, 7.275359312000001, 7.2769424350000005, 7.153391272, 7.3456216350000005, 7.1029343460000005, 7.086879072, 7.325932929, 7.225693265, 7.213867862000001, 7.281297014000001, 7.140965798000001, 7.263616893, 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"t0": 320, "ch": "d25", "phase": "-(P1)"}, {"name": "fc", "t0": 0, "ch": "u47", "phase": "-(P2)"}, {"name": "fc", "t0": 160, "ch": "u47", "phase": "-(P0)"}, {"name": "fc", "t0": 320, "ch": "u47", "phase": "-(P1)"}, {"name": "fc", "t0": 0, "ch": "u51", "phase": "-(P2)"}, {"name": "fc", "t0": 160, "ch": "u51", "phase": "-(P0)"}, {"name": "fc", "t0": 320, "ch": "u51", "phase": "-(P1)"}, {"name": "fc", "t0": 0, "ch": "u55", "phase": "-(P2)"}, {"name": "fc", "t0": 160, "ch": "u55", "phase": "-(P0)"}, {"name": "fc", "t0": 320, "ch": "u55", "phase": "-(P1)"}]}, {"name": "u3", "qubits": [26], "sequence": [{"name": "fc", "t0": 0, "ch": "d26", "phase": "-(P2)"}, {"name": "parametric_pulse", "t0": 0, "ch": "d26", "label": "X90p_d26", "pulse_shape": "drag", "parameters": {"amp": [0.11400121101563308, 0.00020382045770287794], "beta": -1.4492255178294813, "duration": 160, "sigma": 40}}, {"name": "fc", "t0": 160, "ch": "d26", "phase": "-(P0)"}, {"name": "parametric_pulse", "t0": 160, "ch": "d26", "label": "X90m_d26", "pulse_shape": "drag", "parameters": {"amp": [-0.11400121101563308, -0.00020382045770286398], "beta": -1.4492255178294813, "duration": 160, "sigma": 40}}, {"name": "fc", "t0": 320, "ch": "d26", "phase": "-(P1)"}, {"name": "fc", "t0": 0, "ch": "u54", "phase": "-(P2)"}, {"name": "fc", "t0": 160, "ch": "u54", "phase": "-(P0)"}, {"name": "fc", "t0": 320, "ch": "u54", "phase": "-(P1)"}]}, {"name": "x", "qubits": [0], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d0", "label": "Xp_d0", "pulse_shape": "drag", "parameters": {"amp": [0.2356545767409664, 0.0], "beta": -0.23979141782129776, "duration": 160, "sigma": 40}}]}, {"name": "x", "qubits": [1], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d1", "label": "Xp_d1", "pulse_shape": "drag", "parameters": {"amp": [0.22428618249526672, 0.0], "beta": 0.286140200393648, "duration": 160, "sigma": 40}}]}, {"name": "x", "qubits": [2], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d2", "label": 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"parameters": {"amp": [0.23077587023102858, 0.0], "beta": -1.4656698865632507, "duration": 160, "sigma": 40}}]}], "meas_kernel": {"name": "hw_qmfk", "params": {}}, "discriminator": {"name": "hw_qmfk", "params": {}}, "_data": {}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/algiers/fake_algiers.py b/qiskit_ibm_runtime/fake_provider/backends/algiers/fake_algiers.py
new file mode 100644
index 000000000..136521e70
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/algiers/fake_algiers.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2021, 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Algiers device (27 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeAlgiers(fake_backend.FakeBackendV2):
+    """A fake 27 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_algiers.json"  # type: ignore
+    props_filename = "props_algiers.json"  # type: ignore
+    defs_filename = "defs_algiers.json"  # type: ignore
+    backend_name = "fake_algiers"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/algiers/props_algiers.json b/qiskit_ibm_runtime/fake_provider/backends/algiers/props_algiers.json
new file mode 100644
index 000000000..1ff205aab
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/algiers/props_algiers.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_algiers", "backend_version": "1.6.16", "last_update_date": "2024-02-28T08:32:31-05:00", "qubits": [[{"date": "2024-02-28T04:01:01-05:00", "name": "T1", "unit": "us", "value": 125.88397075066983}, {"date": "2024-02-28T04:08:21-05:00", "name": "T2", "unit": "us", "value": 121.65227414635687}, {"date": "2024-02-28T08:32:31-05:00", "name": "frequency", "unit": "GHz", "value": 4.946248807603483}, {"date": "2024-02-28T08:32:31-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3441379643980549}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_error", "unit": "", "value": 0.007600000000000051}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.008000000000000007}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0072}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_length", "unit": "ns", "value": 910.2222222222222}], [{"date": "2024-02-28T04:01:01-05:00", "name": "T1", "unit": "us", "value": 216.50051362873154}, {"date": "2024-02-26T17:20:35-05:00", "name": "T2", "unit": "us", "value": 217.34038913549898}, {"date": "2024-02-28T08:32:31-05:00", "name": "frequency", "unit": "GHz", "value": 4.836040434589742}, {"date": "2024-02-28T08:32:31-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3487002789786346}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_error", "unit": "", "value": 0.005199999999999982}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0054}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0050000000000000044}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_length", "unit": "ns", "value": 910.2222222222222}], [{"date": "2024-02-28T04:01:01-05:00", "name": "T1", "unit": "us", "value": 102.97797230709782}, {"date": "2024-02-28T04:08:21-05:00", "name": "T2", "unit": "us", "value": 326.47658637229074}, {"date": "2024-02-28T08:32:31-05:00", "name": "frequency", "unit": "GHz", "value": 5.053233007164219}, {"date": "2024-02-28T08:32:31-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.34155045049321014}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_error", "unit": "", "value": 0.00869999999999993}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.009000000000000008}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0084}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_length", "unit": "ns", "value": 910.2222222222222}], [{"date": "2024-02-28T04:01:01-05:00", "name": "T1", "unit": "us", "value": 149.22790685752824}, {"date": "2024-02-28T04:15:40-05:00", "name": "T2", "unit": "us", "value": 48.0629376169329}, {"date": "2024-02-28T08:32:31-05:00", "name": "frequency", "unit": "GHz", "value": 5.196613151975914}, {"date": "2024-02-28T08:32:31-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.33924166446260745}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_error", "unit": "", "value": 0.01090000000000002}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.011600000000000055}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0102}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_length", "unit": "ns", "value": 910.2222222222222}], [{"date": "2024-02-28T04:01:01-05:00", "name": "T1", "unit": "us", "value": 189.64525687868144}, {"date": "2024-02-26T16:48:21-05:00", "name": "T2", "unit": "us", "value": 230.55851017118863}, {"date": "2024-02-28T08:32:31-05:00", "name": "frequency", "unit": "GHz", "value": 4.9590786224531165}, {"date": "2024-02-28T08:32:31-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3431163552156697}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_error", "unit": "", "value": 0.0047999999999999154}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0074}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0021999999999999797}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_length", "unit": "ns", "value": 910.2222222222222}], [{"date": "2024-02-28T04:01:01-05:00", "name": "T1", "unit": "us", "value": 129.8026697942219}, {"date": "2024-02-28T04:08:21-05:00", "name": "T2", "unit": "us", "value": 147.47924829622087}, {"date": "2024-02-28T08:32:31-05:00", "name": "frequency", "unit": "GHz", "value": 5.117648479620899}, {"date": "2024-02-28T08:32:31-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.34053255554406897}, {"date": "2024-02-28T03:53:30-05:00", "name": "readout_error", "unit": "", "value": 0.00770000000000004}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.009000000000000008}, {"date": "2024-02-28T03:53:30-05:00", "name": "prob_meas1_prep0", "unit": 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/brisbane/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/brisbane/__init__.py
new file mode 100644
index 000000000..6dee48b6c
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/brisbane/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Brisbane backend (127 qubit).
+"""
+
+from .fake_brisbane import FakeBrisbane
diff --git a/qiskit_ibm_runtime/fake_provider/backends/brisbane/conf_brisbane.json b/qiskit_ibm_runtime/fake_provider/backends/brisbane/conf_brisbane.json
new file mode 100644
index 000000000..a5c9fb704
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/brisbane/conf_brisbane.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_brisbane", "backend_version": "1.1.17", "n_qubits": 127, "basis_gates": ["ecr", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "ecr", "parameters": [], "qasm_def": "gate ecr q0, q1 { U(pi, pi/2, 7*pi/2) q0; U(pi, 7*pi/2, pi/2) q1; CX q0, q1; U(0, 0, 7*pi/2) q0; U(pi/2, 7*pi/2, pi/2) q1; }", "coupling_map": [[1, 0], [2, 1], [3, 2], [4, 3], [4, 5], [4, 15], [6, 5], [6, 7], [7, 8], [8, 9], [10, 9], [10, 11], [11, 12], [12, 17], [13, 12], [14, 0], [14, 18], [15, 22], [16, 8], [16, 26], [17, 30], [18, 19], [20, 19], [20, 33], [21, 20], [21, 22], [22, 23], [24, 23], [24, 34], [25, 24], [26, 25], [27, 26], [28, 27], [28, 29], [28, 35], [30, 29], [30, 31], [31, 32], [32, 36], [33, 39], [34, 43], [35, 47], [36, 51], [37, 38], [39, 38], [40, 39], [40, 41], [41, 53], [42, 41], [42, 43], [43, 44], [44, 45], [46, 45], [46, 47], [48, 47], [48, 49], [50, 49], [50, 51], [52, 37], [52, 56], [53, 60], [54, 45], [54, 64], [55, 49], [55, 68], [56, 57], [57, 58], [58, 59], [58, 71], [59, 60], [60, 61], [62, 61], [62, 63], [62, 72], [63, 64], [65, 64], [65, 66], [67, 66], [67, 68], [69, 68], [69, 70], [73, 66], [74, 70], [74, 89], [75, 90], [76, 75], [77, 71], [77, 76], [77, 78], [79, 78], [79, 80], [80, 81], [81, 72], [81, 82], [82, 83], [83, 92], [84, 83], [85, 73], [85, 84], [85, 86], [86, 87], [87, 88], [88, 89], [91, 79], [92, 102], [93, 87], [93, 106], [94, 90], [94, 95], [95, 96], [97, 96], [97, 98], [98, 91], [99, 98], [100, 99], [100, 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7.409853919000001], [6.610739711009496, 7.610739711009496], [6.858690483, 7.858690483], [6.28466383, 7.28466383], [6.348902066059054, 7.348902066059054], [6.403270200559433, 7.403270200559433], [6.65835341599027, 7.65835341599027], [6.394222337093571, 7.394222337093571], [6.675148449711197, 7.675148449711197], [6.662756412764002, 7.662756412764002], [6.3959134544763625, 7.3959134544763625], [6.734302158309518, 7.734302158309518], [6.791937934967823, 7.791937934967824], [6.453599392922902, 7.453599392922902], [6.603463004501971, 7.603463004501971], [6.724226843828327, 7.724226843828327], [6.664754584129522, 7.664754584129522], [6.78245779962261, 7.78245779962261], [6.849562515693595, 7.849562515693595], [6.271401026191806, 7.271401026191806], [6.8002256356225335, 7.8002256356225335], [6.409554817918836, 7.409554817918836], [6.464062603802555, 7.464062603802555], [6.732506920364911, 7.732506920364911], [6.788272373682044, 7.788272373682044], [6.279620370703182, 7.279620370703182], [6.854467441930048, 7.854467441930048], [6.450824288259855, 7.450824288259855], [6.605554525167252, 7.6055545251672525], [6.670547533000001, 7.670547533000001], [6.795679128000001, 7.795679128000001], [6.452139749372102, 7.452139749372102], [6.609059321755032, 7.609059321755032], [6.461661276983544, 7.461661276983544], [6.264962736795676, 7.264962736795676], [6.398995948393271, 7.398995948393271], [6.662810041098437, 7.662810041098437], [6.599567257, 7.599567257], [6.337760484718135, 7.337760484718135], [6.675159123, 7.675159123], [6.793162147835484, 7.793162147835484], [6.856061001742497, 7.856061001742497], [6.279088683965302, 7.279088683965302], [6.405548226075562, 7.405548226075562], [6.340370592708604, 7.340370592708604], [6.336714445644737, 7.336714445644737], [6.7302303320000005, 7.7302303320000005], [6.34235280572665, 7.34235280572665], [6.857965541727047, 7.857965541727047], [6.27409697429547, 7.274096974295471], [6.459675504000001, 7.459675504000001], [6.333977639, 7.333977639], [6.27222097852488, 7.27222097852488], [6.721016385, 7.721016385], [6.792075736260101, 7.792075736260101], [6.404053933909769, 7.404053933909769], [6.847068653, 7.847068653000001], [6.275373876634923, 7.275373876634924], [6.451754377, 7.451754377], [6.334575194, 7.334575194], [6.404545375121012, 7.404545375121012], [6.46125977306879, 7.461259773068791]], "meas_kernels": ["hw_qmfk"], "discriminators": ["quadratic_discriminator", "hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) \\\\ & + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,1}(U_{0}^{(1,0)}(t))\\sigma_{1}^{X} + \\Omega_{d,2}(U_{1}^{(2,1)}(t))\\sigma_{2}^{X} \\\\ & + \\Omega_{d,3}(U_{2}^{(3,2)}(t))\\sigma_{3}^{X} + \\Omega_{d,4}(U_{5}^{(4,15)}(t)+U_{4}^{(4,5)}(t)+U_{3}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ & + \\Omega_{d,6}(U_{7}^{(6,7)}(t)+U_{6}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{8}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{9}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,10}(U_{10}^{(10,9)}(t)+U_{11}^{(10,11)}(t))\\sigma_{10}^{X} \\\\ & + \\Omega_{d,11}(U_{12}^{(11,12)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{13}^{(12,17)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,13}(U_{14}^{(13,12)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{15}^{(14,0)}(t)+U_{16}^{(14,18)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,15}(U_{17}^{(15,22)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{19}^{(16,26)}(t)+U_{18}^{(16,8)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{20}^{(17,30)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{21}^{(18,19)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,20}(U_{22}^{(20,19)}(t)+U_{23}^{(20,33)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{25}^{(21,22)}(t)+U_{24}^{(21,20)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{26}^{(22,23)}(t))\\sigma_{22}^{X} + \\Omega_{d,24}(U_{28}^{(24,34)}(t)+U_{27}^{(24,23)}(t))\\sigma_{24}^{X} \\\\ & + \\Omega_{d,25}(U_{29}^{(25,24)}(t))\\sigma_{25}^{X} + \\Omega_{d,26}(U_{30}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ & + \\Omega_{d,27}(U_{31}^{(27,26)}(t))\\sigma_{27}^{X} + \\Omega_{d,28}(U_{33}^{(28,29)}(t)+U_{32}^{(28,27)}(t)+U_{34}^{(28,35)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,30}(U_{36}^{(30,31)}(t)+U_{35}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{37}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{38}^{(32,36)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{39}^{(33,39)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{40}^{(34,43)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{41}^{(35,47)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{42}^{(36,51)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{43}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,39}(U_{44}^{(39,38)}(t))\\sigma_{39}^{X} + \\Omega_{d,40}(U_{46}^{(40,41)}(t)+U_{45}^{(40,39)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,41}(U_{47}^{(41,53)}(t))\\sigma_{41}^{X} + \\Omega_{d,42}(U_{49}^{(42,43)}(t)+U_{48}^{(42,41)}(t))\\sigma_{42}^{X} \\\\ & + \\Omega_{d,43}(U_{50}^{(43,44)}(t))\\sigma_{43}^{X} + \\Omega_{d,44}(U_{51}^{(44,45)}(t))\\sigma_{44}^{X} \\\\ & + \\Omega_{d,46}(U_{53}^{(46,47)}(t)+U_{52}^{(46,45)}(t))\\sigma_{46}^{X} + \\Omega_{d,48}(U_{54}^{(48,47)}(t)+U_{55}^{(48,49)}(t))\\sigma_{48}^{X} \\\\ & + \\Omega_{d,50}(U_{56}^{(50,49)}(t)+U_{57}^{(50,51)}(t))\\sigma_{50}^{X} + \\Omega_{d,52}(U_{59}^{(52,56)}(t)+U_{58}^{(52,37)}(t))\\sigma_{52}^{X} \\\\ & + \\Omega_{d,53}(U_{60}^{(53,60)}(t))\\sigma_{53}^{X} + \\Omega_{d,54}(U_{62}^{(54,64)}(t)+U_{61}^{(54,45)}(t))\\sigma_{54}^{X} \\\\ & + \\Omega_{d,55}(U_{64}^{(55,68)}(t)+U_{63}^{(55,49)}(t))\\sigma_{55}^{X} + \\Omega_{d,56}(U_{65}^{(56,57)}(t))\\sigma_{56}^{X} \\\\ & + \\Omega_{d,57}(U_{66}^{(57,58)}(t))\\sigma_{57}^{X} + \\Omega_{d,58}(U_{67}^{(58,59)}(t)+U_{68}^{(58,71)}(t))\\sigma_{58}^{X} \\\\ & + \\Omega_{d,59}(U_{69}^{(59,60)}(t))\\sigma_{59}^{X} + \\Omega_{d,60}(U_{70}^{(60,61)}(t))\\sigma_{60}^{X} \\\\ & + \\Omega_{d,62}(U_{72}^{(62,63)}(t)+U_{73}^{(62,72)}(t)+U_{71}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{74}^{(63,64)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,65}(U_{76}^{(65,66)}(t)+U_{75}^{(65,64)}(t))\\sigma_{65}^{X} + \\Omega_{d,67}(U_{78}^{(67,68)}(t)+U_{77}^{(67,66)}(t))\\sigma_{67}^{X} \\\\ & + \\Omega_{d,69}(U_{79}^{(69,68)}(t)+U_{80}^{(69,70)}(t))\\sigma_{69}^{X} + \\Omega_{d,73}(U_{81}^{(73,66)}(t))\\sigma_{73}^{X} \\\\ & + \\Omega_{d,74}(U_{83}^{(74,89)}(t)+U_{82}^{(74,70)}(t))\\sigma_{74}^{X} + \\Omega_{d,75}(U_{84}^{(75,90)}(t))\\sigma_{75}^{X} \\\\ & + \\Omega_{d,76}(U_{85}^{(76,75)}(t))\\sigma_{76}^{X} + \\Omega_{d,77}(U_{86}^{(77,71)}(t)+U_{88}^{(77,78)}(t)+U_{87}^{(77,76)}(t))\\sigma_{77}^{X} \\\\ & + \\Omega_{d,79}(U_{90}^{(79,80)}(t)+U_{89}^{(79,78)}(t))\\sigma_{79}^{X} + \\Omega_{d,80}(U_{91}^{(80,81)}(t))\\sigma_{80}^{X} \\\\ & + \\Omega_{d,81}(U_{93}^{(81,82)}(t)+U_{92}^{(81,72)}(t))\\sigma_{81}^{X} + \\Omega_{d,82}(U_{94}^{(82,83)}(t))\\sigma_{82}^{X} \\\\ & + \\Omega_{d,83}(U_{95}^{(83,92)}(t))\\sigma_{83}^{X} + \\Omega_{d,84}(U_{96}^{(84,83)}(t))\\sigma_{84}^{X} \\\\ & + \\Omega_{d,85}(U_{97}^{(85,73)}(t)+U_{99}^{(85,86)}(t)+U_{98}^{(85,84)}(t))\\sigma_{85}^{X} + \\Omega_{d,86}(U_{100}^{(86,87)}(t))\\sigma_{86}^{X} \\\\ & + \\Omega_{d,87}(U_{101}^{(87,88)}(t))\\sigma_{87}^{X} + \\Omega_{d,88}(U_{102}^{(88,89)}(t))\\sigma_{88}^{X} \\\\ & + \\Omega_{d,91}(U_{103}^{(91,79)}(t))\\sigma_{91}^{X} + \\Omega_{d,92}(U_{104}^{(92,102)}(t))\\sigma_{92}^{X} \\\\ & + \\Omega_{d,93}(U_{105}^{(93,87)}(t)+U_{106}^{(93,106)}(t))\\sigma_{93}^{X} + \\Omega_{d,94}(U_{107}^{(94,90)}(t)+U_{108}^{(94,95)}(t))\\sigma_{94}^{X} \\\\ & + \\Omega_{d,95}(U_{109}^{(95,96)}(t))\\sigma_{95}^{X} + \\Omega_{d,97}(U_{111}^{(97,98)}(t)+U_{110}^{(97,96)}(t))\\sigma_{97}^{X} \\\\ & + \\Omega_{d,98}(U_{112}^{(98,91)}(t))\\sigma_{98}^{X} + \\Omega_{d,99}(U_{113}^{(99,98)}(t))\\sigma_{99}^{X} \\\\ & + \\Omega_{d,100}(U_{114}^{(100,99)}(t)+U_{115}^{(100,110)}(t))\\sigma_{100}^{X} + \\Omega_{d,101}(U_{117}^{(101,102)}(t)+U_{116}^{(101,100)}(t))\\sigma_{101}^{X} \\\\ & + \\Omega_{d,102}(U_{118}^{(102,103)}(t))\\sigma_{102}^{X} + \\Omega_{d,104}(U_{119}^{(104,103)}(t))\\sigma_{104}^{X} \\\\ & + \\Omega_{d,105}(U_{121}^{(105,106)}(t)+U_{120}^{(105,104)}(t))\\sigma_{105}^{X} + \\Omega_{d,107}(U_{122}^{(107,106)}(t))\\sigma_{107}^{X} \\\\ & + \\Omega_{d,108}(U_{123}^{(108,107)}(t)+U_{124}^{(108,112)}(t))\\sigma_{108}^{X} + \\Omega_{d,109}(U_{125}^{(109,96)}(t))\\sigma_{109}^{X} \\\\ & + \\Omega_{d,110}(U_{126}^{(110,118)}(t))\\sigma_{110}^{X} + \\Omega_{d,111}(U_{127}^{(111,104)}(t))\\sigma_{111}^{X} \\\\ & + \\Omega_{d,112}(U_{128}^{(112,126)}(t))\\sigma_{112}^{X} + \\Omega_{d,113}(U_{129}^{(113,114)}(t))\\sigma_{113}^{X} \\\\ & + \\Omega_{d,114}(U_{130}^{(114,109)}(t)+U_{131}^{(114,115)}(t))\\sigma_{114}^{X} + \\Omega_{d,116}(U_{133}^{(116,117)}(t)+U_{132}^{(116,115)}(t))\\sigma_{116}^{X} \\\\ & + \\Omega_{d,117}(U_{134}^{(117,118)}(t))\\sigma_{117}^{X} + \\Omega_{d,118}(U_{135}^{(118,119)}(t))\\sigma_{118}^{X} \\\\ & + \\Omega_{d,120}(U_{136}^{(120,119)}(t))\\sigma_{120}^{X} + \\Omega_{d,121}(U_{137}^{(121,120)}(t))\\sigma_{121}^{X} \\\\ & + \\Omega_{d,122}(U_{140}^{(122,123)}(t)+U_{138}^{(122,111)}(t)+U_{139}^{(122,121)}(t))\\sigma_{122}^{X} + \\Omega_{d,124}(U_{141}^{(124,123)}(t))\\sigma_{124}^{X} \\\\ & + \\Omega_{d,125}(U_{142}^{(125,124)}(t)+U_{143}^{(125,126)}(t))\\sigma_{125}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", 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{"operates": {"qubits": [45]}, "purpose": "measure", "type": "measure"}, "m46": {"operates": {"qubits": [46]}, "purpose": "measure", "type": "measure"}, "m47": {"operates": {"qubits": [47]}, "purpose": "measure", "type": "measure"}, "m48": {"operates": {"qubits": [48]}, "purpose": "measure", "type": "measure"}, "m49": {"operates": {"qubits": [49]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m50": {"operates": {"qubits": [50]}, "purpose": "measure", "type": "measure"}, "m51": {"operates": {"qubits": [51]}, "purpose": "measure", "type": "measure"}, "m52": {"operates": {"qubits": [52]}, "purpose": "measure", "type": "measure"}, "m53": {"operates": {"qubits": [53]}, "purpose": "measure", "type": "measure"}, "m54": {"operates": {"qubits": [54]}, "purpose": "measure", "type": "measure"}, "m55": {"operates": {"qubits": [55]}, "purpose": "measure", "type": "measure"}, "m56": {"operates": {"qubits": [56]}, "purpose": "measure", "type": "measure"}, "m57": {"operates": {"qubits": [57]}, "purpose": "measure", "type": "measure"}, "m58": {"operates": {"qubits": [58]}, "purpose": "measure", "type": "measure"}, "m59": {"operates": {"qubits": [59]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m60": {"operates": {"qubits": [60]}, "purpose": "measure", "type": "measure"}, "m61": {"operates": {"qubits": [61]}, "purpose": "measure", "type": "measure"}, "m62": {"operates": {"qubits": [62]}, "purpose": "measure", "type": "measure"}, "m63": {"operates": {"qubits": [63]}, "purpose": "measure", "type": "measure"}, "m64": {"operates": {"qubits": [64]}, "purpose": "measure", "type": "measure"}, "m65": {"operates": {"qubits": [65]}, "purpose": "measure", "type": "measure"}, "m66": {"operates": {"qubits": [66]}, "purpose": "measure", "type": "measure"}, "m67": {"operates": {"qubits": [67]}, "purpose": "measure", "type": "measure"}, "m68": {"operates": {"qubits": [68]}, "purpose": "measure", "type": "measure"}, "m69": {"operates": {"qubits": [69]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m70": {"operates": {"qubits": [70]}, "purpose": "measure", "type": "measure"}, "m71": {"operates": {"qubits": [71]}, "purpose": "measure", "type": "measure"}, "m72": {"operates": {"qubits": [72]}, "purpose": "measure", "type": "measure"}, "m73": {"operates": {"qubits": [73]}, "purpose": "measure", "type": "measure"}, "m74": {"operates": {"qubits": [74]}, "purpose": "measure", "type": "measure"}, "m75": {"operates": {"qubits": [75]}, "purpose": "measure", "type": "measure"}, "m76": {"operates": {"qubits": [76]}, "purpose": "measure", "type": "measure"}, "m77": {"operates": {"qubits": [77]}, "purpose": "measure", "type": "measure"}, "m78": {"operates": {"qubits": [78]}, "purpose": "measure", "type": "measure"}, "m79": {"operates": {"qubits": [79]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m80": {"operates": {"qubits": [80]}, "purpose": "measure", "type": "measure"}, "m81": {"operates": {"qubits": [81]}, "purpose": "measure", "type": "measure"}, "m82": {"operates": {"qubits": [82]}, "purpose": "measure", "type": "measure"}, "m83": {"operates": {"qubits": [83]}, "purpose": "measure", "type": "measure"}, "m84": {"operates": {"qubits": [84]}, "purpose": "measure", "type": "measure"}, "m85": {"operates": {"qubits": [85]}, "purpose": "measure", "type": "measure"}, "m86": {"operates": {"qubits": [86]}, "purpose": "measure", "type": "measure"}, "m87": {"operates": {"qubits": [87]}, "purpose": "measure", "type": "measure"}, "m88": {"operates": {"qubits": [88]}, "purpose": "measure", "type": "measure"}, "m89": {"operates": {"qubits": [89]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "m90": {"operates": {"qubits": [90]}, "purpose": "measure", "type": "measure"}, "m91": {"operates": {"qubits": [91]}, "purpose": "measure", "type": "measure"}, "m92": {"operates": {"qubits": [92]}, "purpose": "measure", "type": "measure"}, "m93": {"operates": {"qubits": [93]}, "purpose": "measure", "type": "measure"}, "m94": {"operates": {"qubits": [94]}, "purpose": "measure", "type": "measure"}, "m95": {"operates": {"qubits": [95]}, "purpose": "measure", "type": "measure"}, "m96": {"operates": {"qubits": [96]}, "purpose": "measure", "type": "measure"}, "m97": {"operates": {"qubits": [97]}, "purpose": "measure", "type": "measure"}, "m98": {"operates": {"qubits": [98]}, "purpose": "measure", "type": "measure"}, "m99": {"operates": {"qubits": [99]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [10, 9]}, "purpose": "cross-resonance", "type": "control"}, "u100": {"operates": {"qubits": [86, 87]}, "purpose": "cross-resonance", "type": "control"}, "u101": {"operates": {"qubits": [87, 88]}, "purpose": "cross-resonance", "type": "control"}, "u102": {"operates": {"qubits": [88, 89]}, "purpose": "cross-resonance", "type": "control"}, "u103": {"operates": {"qubits": [91, 79]}, "purpose": "cross-resonance", "type": "control"}, "u104": {"operates": {"qubits": [92, 102]}, "purpose": "cross-resonance", "type": "control"}, "u105": {"operates": {"qubits": [93, 87]}, "purpose": "cross-resonance", "type": "control"}, "u106": {"operates": {"qubits": [93, 106]}, "purpose": "cross-resonance", "type": "control"}, "u107": {"operates": {"qubits": [94, 90]}, "purpose": "cross-resonance", "type": "control"}, "u108": {"operates": {"qubits": [94, 95]}, "purpose": "cross-resonance", "type": "control"}, "u109": {"operates": {"qubits": [95, 96]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [10, 11]}, "purpose": "cross-resonance", "type": "control"}, "u110": {"operates": {"qubits": [97, 96]}, "purpose": "cross-resonance", "type": "control"}, "u111": {"operates": {"qubits": [97, 98]}, "purpose": "cross-resonance", "type": "control"}, "u112": {"operates": {"qubits": [98, 91]}, "purpose": "cross-resonance", "type": "control"}, "u113": {"operates": {"qubits": [99, 98]}, "purpose": "cross-resonance", "type": "control"}, "u114": {"operates": {"qubits": [100, 99]}, "purpose": "cross-resonance", "type": "control"}, "u115": {"operates": {"qubits": [100, 110]}, "purpose": "cross-resonance", "type": "control"}, "u116": {"operates": {"qubits": [101, 100]}, "purpose": "cross-resonance", "type": "control"}, "u117": {"operates": {"qubits": [101, 102]}, "purpose": "cross-resonance", "type": "control"}, "u118": {"operates": {"qubits": [102, 103]}, "purpose": "cross-resonance", "type": "control"}, "u119": {"operates": {"qubits": [104, 103]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [11, 12]}, "purpose": "cross-resonance", "type": "control"}, "u120": {"operates": {"qubits": [105, 104]}, "purpose": "cross-resonance", "type": "control"}, "u121": {"operates": {"qubits": [105, 106]}, "purpose": "cross-resonance", "type": "control"}, "u122": {"operates": {"qubits": [107, 106]}, "purpose": "cross-resonance", "type": "control"}, "u123": {"operates": {"qubits": [108, 107]}, "purpose": "cross-resonance", "type": "control"}, "u124": {"operates": {"qubits": [108, 112]}, "purpose": "cross-resonance", "type": "control"}, "u125": {"operates": {"qubits": [109, 96]}, "purpose": "cross-resonance", "type": "control"}, "u126": {"operates": {"qubits": [110, 118]}, "purpose": "cross-resonance", "type": "control"}, "u127": {"operates": {"qubits": [111, 104]}, "purpose": "cross-resonance", "type": "control"}, "u128": {"operates": {"qubits": [112, 126]}, "purpose": "cross-resonance", "type": "control"}, "u129": {"operates": {"qubits": [113, 114]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [12, 17]}, "purpose": "cross-resonance", "type": "control"}, "u130": {"operates": {"qubits": [114, 109]}, "purpose": "cross-resonance", "type": "control"}, "u131": {"operates": {"qubits": [114, 115]}, "purpose": "cross-resonance", "type": "control"}, "u132": {"operates": {"qubits": [116, 115]}, "purpose": "cross-resonance", "type": "control"}, "u133": {"operates": {"qubits": [116, 117]}, "purpose": "cross-resonance", "type": "control"}, "u134": {"operates": {"qubits": [117, 118]}, "purpose": "cross-resonance", "type": "control"}, "u135": {"operates": {"qubits": [118, 119]}, "purpose": "cross-resonance", "type": "control"}, "u136": {"operates": {"qubits": [120, 119]}, "purpose": "cross-resonance", "type": "control"}, "u137": {"operates": {"qubits": [121, 120]}, "purpose": "cross-resonance", "type": "control"}, "u138": {"operates": {"qubits": [122, 111]}, "purpose": "cross-resonance", "type": "control"}, "u139": {"operates": {"qubits": [122, 121]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u140": {"operates": {"qubits": [122, 123]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [124, 123]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [125, 124]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [125, 126]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [14, 0]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [14, 18]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [15, 22]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [16, 8]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [16, 26]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [17, 30]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [20, 33]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [22, 23]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [24, 34]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [27, 26]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [28, 29]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [28, 35]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [30, 31]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [32, 36]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [33, 39]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [4, 5]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [34, 43]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [35, 47]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [36, 51]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [37, 38]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [39, 38]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [40, 39]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [40, 41]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [41, 53]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [4, 15]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [44, 45]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [46, 45]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [46, 47]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [48, 47]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [48, 49]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [50, 49]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [50, 51]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [52, 37]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [52, 56]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [53, 60]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [54, 45]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [54, 64]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [55, 49]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [55, 68]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [56, 57]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [58, 59]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [58, 71]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [60, 61]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [62, 61]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [62, 63]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [62, 72]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [63, 64]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [65, 64]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [65, 66]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [67, 66]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [67, 68]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [69, 68]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [69, 70]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [73, 66]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [74, 70]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [74, 89]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [75, 90]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [76, 75]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [77, 71]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [77, 76]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [77, 78]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [79, 78]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [8, 9]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [79, 80]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [80, 81]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [81, 72]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [81, 82]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [82, 83]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [83, 92]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [84, 83]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [85, 73]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [85, 86]}, "purpose": "cross-resonance", "type": "control"}}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/brisbane/defs_brisbane.json b/qiskit_ibm_runtime/fake_provider/backends/brisbane/defs_brisbane.json
new file mode 100644
index 000000000..ed0798b32
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/brisbane/defs_brisbane.json
@@ -0,0 +1 @@
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"ch": "d112", "label": "Xp_d112", "pulse_shape": "drag", "parameters": {"amp": [0.17971832196683932, 0.0], "beta": -0.9500132559427237, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [113], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d113", "label": "Xp_d113", "pulse_shape": "drag", "parameters": {"amp": [0.19136661849093778, 0.0], "beta": -0.6222173863103256, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [114], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d114", "label": "Xp_d114", "pulse_shape": "drag", "parameters": {"amp": [0.15404690167360355, 0.0], "beta": 0.05624979354146041, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [115], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d115", "label": "Xp_d115", "pulse_shape": "drag", "parameters": {"amp": [0.1755569395888379, 0.0], "beta": -0.6699098738900523, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [116], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d116", "label": "Xp_d116", "pulse_shape": "drag", "parameters": {"amp": [0.19024097149565103, 0.0], "beta": -0.2344965752751542, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [117], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d117", "label": "Xp_d117", "pulse_shape": "drag", "parameters": {"amp": [0.20202186142007683, 0.0], "beta": 0.628311234009676, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [118], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d118", "label": "Xp_d118", "pulse_shape": "drag", "parameters": {"amp": [0.1994571442084587, 0.0], "beta": -0.30966521786406576, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [119], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d119", "label": "Xp_d119", "pulse_shape": "drag", "parameters": {"amp": [0.18392633711768155, 0.0], "beta": 0.012653248273876126, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [120], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d120", "label": "Xp_d120", "pulse_shape": "drag", "parameters": {"amp": [0.15395181844428124, 0.0], "beta": 0.29418882411439673, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [121], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d121", "label": "Xp_d121", "pulse_shape": "drag", "parameters": {"amp": [0.2024166707773266, 0.0], "beta": -1.0980614689370105, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [122], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d122", "label": "Xp_d122", "pulse_shape": "drag", "parameters": {"amp": [0.23024296192557295, 0.0], "beta": -1.1392289414416261, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [123], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d123", "label": "Xp_d123", "pulse_shape": "drag", "parameters": {"amp": [0.5658420872686268, 0.0], "beta": -0.6245112531356316, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [124], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d124", "label": "Xp_d124", "pulse_shape": "drag", "parameters": {"amp": [0.19485644082852296, 0.0], "beta": -0.5661433345913809, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [125], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d125", "label": "Xp_d125", "pulse_shape": "drag", "parameters": {"amp": [0.20333780281025, 0.0], "beta": 0.6515433326348544, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [126], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d126", "label": "Xp_d126", "pulse_shape": "drag", "parameters": {"amp": [0.18501959563248155, 0.0], "beta": 0.09988096426150478, "duration": 120, "sigma": 30}}]}], "meas_kernel": {"name": "hw_qmfk", "params": {}}, "discriminator": {"name": "hw_qmfk", "params": {}}, "_data": {}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/brisbane/fake_brisbane.py b/qiskit_ibm_runtime/fake_provider/backends/brisbane/fake_brisbane.py
new file mode 100644
index 000000000..35c3c0c86
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/brisbane/fake_brisbane.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Brisbane device (127 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeBrisbane(fake_backend.FakeBackendV2):
+    """A fake 127 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_brisbane.json"  # type: ignore
+    props_filename = "props_brisbane.json"  # type: ignore
+    defs_filename = "defs_brisbane.json"  # type: ignore
+    backend_name = "fake_brisbane"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/brisbane/props_brisbane.json b/qiskit_ibm_runtime/fake_provider/backends/brisbane/props_brisbane.json
new file mode 100644
index 000000000..1f99794ec
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/brisbane/props_brisbane.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_brisbane", "backend_version": "1.1.17", "last_update_date": "2024-02-28T10:39:17-05:00", "qubits": [[{"date": "2024-02-28T01:02:15-05:00", "name": "T1", "unit": "us", "value": 344.18066688647605}, {"date": "2024-02-28T01:14:21-05:00", "name": "T2", "unit": "us", "value": 75.64288203206611}, {"date": "2024-02-28T10:39:17-05:00", "name": "frequency", "unit": "GHz", "value": 4.721862452373812}, {"date": "2024-02-28T10:39:17-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.31197865973435573}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_error", "unit": "", "value": 0.0252}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0242}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0262}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-28T01:02:15-05:00", "name": "T1", "unit": "us", "value": 358.3919740175906}, {"date": "2024-02-28T01:31:15-05:00", "name": "T2", "unit": "us", "value": 251.4228261045524}, {"date": "2024-02-28T10:39:17-05:00", "name": "frequency", "unit": "GHz", "value": 4.8151323451905155}, {"date": "2024-02-28T10:39:17-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3097440319777085}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_error", "unit": "", "value": 0.021400000000000086}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0198}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.02300000000000002}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-28T01:02:15-05:00", "name": "T1", "unit": "us", "value": 284.80558971315236}, {"date": "2024-02-28T01:14:21-05:00", "name": "T2", "unit": "us", "value": 129.88657106142938}, {"date": "2024-02-28T10:39:17-05:00", "name": "frequency", "unit": "GHz", "value": 4.609649641052719}, {"date": "2024-02-28T10:39:17-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3090875180776862}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_error", "unit": "", "value": 0.007500000000000062}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.008399999999999963}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0066}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-28T01:02:15-05:00", "name": "T1", "unit": "us", "value": 283.3951648727958}, {"date": "2024-02-28T01:31:15-05:00", "name": "T2", "unit": "us", "value": 381.00410508955554}, {"date": "2024-02-28T10:39:17-05:00", "name": "frequency", "unit": "GHz", "value": 4.875547583458049}, {"date": "2024-02-28T10:39:17-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.30968652168552707}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_error", "unit": "", "value": 0.025000000000000022}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.01100000000000001}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.039}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-25T23:41:17-05:00", "name": "T1", "unit": "us", "value": 312.23143150854713}, {"date": "2024-02-28T01:14:21-05:00", "name": "T2", "unit": "us", "value": 252.91318655593588}, {"date": "2024-02-28T10:39:17-05:00", "name": "frequency", "unit": "GHz", "value": 4.818173708832964}, {"date": "2024-02-28T10:39:17-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3103713081153928}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_error", "unit": "", "value": 0.013800000000000034}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.013599999999999945}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.014}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-28T01:02:15-05:00", "name": "T1", "unit": "us", "value": 316.95338601648353}, {"date": "2024-02-28T01:31:15-05:00", "name": "T2", "unit": "us", "value": 234.58557832885725}, {"date": "2024-02-28T10:39:17-05:00", "name": "frequency", "unit": "GHz", "value": 4.734142046872142}, {"date": "2024-02-28T10:39:17-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3114518235315779}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_error", "unit": "", "value": 0.00770000000000004}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.009199999999999986}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0062}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-26T14:11:13-05:00", "name": "T1", "unit": "us", "value": 366.5243903749636}, {"date": "2024-02-28T01:14:21-05:00", "name": "T2", "unit": "us", "value": 63.95681139967468}, {"date": "2024-02-28T10:39:17-05:00", "name": "frequency", "unit": "GHz", "value": 4.876269311235213}, {"date": "2024-02-28T10:39:17-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.30918835047116894}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_error", "unit": "", "value": 0.01110000000000011}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0106}, {"date": "2024-02-28T00:40:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.011600000000000055}, {"date": "2024-02-28T00:40:32-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-28T01:02:15-05:00", "name": "T1", "unit": "us", "value": 294.9040803522966}, {"date": "2024-02-26T14:42:55-05:00", "name": "T2", "unit": "us", "value": 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/cusco/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/cusco/__init__.py
new file mode 100644
index 000000000..5cc8f2be7
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/cusco/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Cusco backend (127 qubit).
+"""
+
+from .fake_cusco import FakeCusco
diff --git a/qiskit_ibm_runtime/fake_provider/backends/cusco/conf_cusco.json b/qiskit_ibm_runtime/fake_provider/backends/cusco/conf_cusco.json
new file mode 100644
index 000000000..662e2542a
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/cusco/conf_cusco.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_cusco", "backend_version": "1.0.25", "n_qubits": 127, "basis_gates": ["ecr", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "ecr", "parameters": [], "qasm_def": "gate ecr q0, q1 { U(pi, pi/2, 7*pi/2) q0; U(pi, 7*pi/2, pi/2) q1; CX q0, q1; U(0, 0, 7*pi/2) q0; U(pi/2, 7*pi/2, pi/2) q1; }", "coupling_map": [[0, 1], [2, 1], [3, 2], [4, 3], [4, 15], [5, 4], [5, 6], [7, 6], [8, 7], [9, 8], [10, 9], [11, 10], [11, 12], [12, 17], [13, 12], [14, 0], 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"hw_qmfk", "linear_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) \\\\ & + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,2}(U_{1}^{(2,1)}(t))\\sigma_{2}^{X} \\\\ & + \\Omega_{d,3}(U_{2}^{(3,2)}(t))\\sigma_{3}^{X} + \\Omega_{d,4}(U_{4}^{(4,15)}(t)+U_{3}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ & + \\Omega_{d,5}(U_{6}^{(5,6)}(t)+U_{5}^{(5,4)}(t))\\sigma_{5}^{X} + \\Omega_{d,7}(U_{7}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{8}^{(8,7)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{9}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,10}(U_{10}^{(10,9)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{12}^{(11,12)}(t)+U_{11}^{(11,10)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,12}(U_{13}^{(12,17)}(t))\\sigma_{12}^{X} + \\Omega_{d,13}(U_{14}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,14}(U_{15}^{(14,0)}(t))\\sigma_{14}^{X} + \\Omega_{d,16}(U_{16}^{(16,8)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{17}^{(17,30)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{19}^{(18,19)}(t)+U_{18}^{(18,14)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,20}(U_{20}^{(20,19)}(t)+U_{21}^{(20,33)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{23}^{(21,22)}(t)+U_{22}^{(21,20)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{24}^{(22,15)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{25}^{(23,22)}(t)+U_{26}^{(23,24)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,25}(U_{27}^{(25,24)}(t))\\sigma_{25}^{X} + \\Omega_{d,26}(U_{28}^{(26,16)}(t)+U_{30}^{(26,27)}(t)+U_{29}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ & + \\Omega_{d,28}(U_{31}^{(28,27)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{33}^{(29,30)}(t)+U_{32}^{(29,28)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{34}^{(30,31)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{35}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,32}(U_{36}^{(32,36)}(t))\\sigma_{32}^{X} + \\Omega_{d,33}(U_{37}^{(33,39)}(t))\\sigma_{33}^{X} \\\\ & + \\Omega_{d,34}(U_{38}^{(34,24)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{39}^{(35,28)}(t)+U_{40}^{(35,47)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{41}^{(36,51)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{42}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,38}(U_{43}^{(38,39)}(t))\\sigma_{38}^{X} + \\Omega_{d,40}(U_{45}^{(40,41)}(t)+U_{44}^{(40,39)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,42}(U_{46}^{(42,41)}(t)+U_{47}^{(42,43)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{48}^{(43,34)}(t)+U_{49}^{(43,44)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{50}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,46}(U_{52}^{(46,47)}(t)+U_{51}^{(46,45)}(t))\\sigma_{46}^{X} \\\\ & + \\Omega_{d,48}(U_{54}^{(48,49)}(t)+U_{53}^{(48,47)}(t))\\sigma_{48}^{X} + \\Omega_{d,50}(U_{55}^{(50,49)}(t))\\sigma_{50}^{X} \\\\ & + \\Omega_{d,51}(U_{56}^{(51,50)}(t))\\sigma_{51}^{X} + \\Omega_{d,52}(U_{58}^{(52,56)}(t)+U_{57}^{(52,37)}(t))\\sigma_{52}^{X} \\\\ & + \\Omega_{d,53}(U_{59}^{(53,41)}(t))\\sigma_{53}^{X} + \\Omega_{d,54}(U_{61}^{(54,64)}(t)+U_{60}^{(54,45)}(t))\\sigma_{54}^{X} \\\\ & + \\Omega_{d,55}(U_{63}^{(55,68)}(t)+U_{62}^{(55,49)}(t))\\sigma_{55}^{X} + \\Omega_{d,56}(U_{64}^{(56,57)}(t))\\sigma_{56}^{X} \\\\ & + \\Omega_{d,57}(U_{65}^{(57,58)}(t))\\sigma_{57}^{X} + \\Omega_{d,58}(U_{67}^{(58,71)}(t)+U_{66}^{(58,59)}(t))\\sigma_{58}^{X} \\\\ & + \\Omega_{d,60}(U_{68}^{(60,53)}(t)+U_{70}^{(60,61)}(t)+U_{69}^{(60,59)}(t))\\sigma_{60}^{X} + \\Omega_{d,62}(U_{72}^{(62,63)}(t)+U_{71}^{(62,61)}(t))\\sigma_{62}^{X} \\\\ & + \\Omega_{d,64}(U_{73}^{(64,63)}(t))\\sigma_{64}^{X} + \\Omega_{d,65}(U_{75}^{(65,66)}(t)+U_{74}^{(65,64)}(t))\\sigma_{65}^{X} \\\\ & + \\Omega_{d,66}(U_{76}^{(66,73)}(t))\\sigma_{66}^{X} + \\Omega_{d,67}(U_{78}^{(67,68)}(t)+U_{77}^{(67,66)}(t))\\sigma_{67}^{X} \\\\ & + \\Omega_{d,68}(U_{79}^{(68,69)}(t))\\sigma_{68}^{X} + \\Omega_{d,70}(U_{80}^{(70,69)}(t)+U_{81}^{(70,74)}(t))\\sigma_{70}^{X} \\\\ & + \\Omega_{d,72}(U_{82}^{(72,62)}(t)+U_{83}^{(72,81)}(t))\\sigma_{72}^{X} + \\Omega_{d,73}(U_{84}^{(73,85)}(t))\\sigma_{73}^{X} \\\\ & + \\Omega_{d,74}(U_{85}^{(74,89)}(t))\\sigma_{74}^{X} + \\Omega_{d,76}(U_{87}^{(76,77)}(t)+U_{86}^{(76,75)}(t))\\sigma_{76}^{X} \\\\ & + \\Omega_{d,77}(U_{88}^{(77,71)}(t))\\sigma_{77}^{X} + \\Omega_{d,78}(U_{89}^{(78,77)}(t))\\sigma_{78}^{X} \\\\ & + \\Omega_{d,79}(U_{90}^{(79,78)}(t))\\sigma_{79}^{X} + \\Omega_{d,80}(U_{92}^{(80,81)}(t)+U_{91}^{(80,79)}(t))\\sigma_{80}^{X} \\\\ & + \\Omega_{d,81}(U_{93}^{(81,82)}(t))\\sigma_{81}^{X} + \\Omega_{d,83}(U_{94}^{(83,82)}(t)+U_{95}^{(83,92)}(t))\\sigma_{83}^{X} \\\\ & + \\Omega_{d,84}(U_{96}^{(84,83)}(t))\\sigma_{84}^{X} + \\Omega_{d,85}(U_{98}^{(85,86)}(t)+U_{97}^{(85,84)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,87}(U_{100}^{(87,88)}(t)+U_{99}^{(87,86)}(t))\\sigma_{87}^{X} + \\Omega_{d,88}(U_{101}^{(88,89)}(t))\\sigma_{88}^{X} \\\\ & + \\Omega_{d,90}(U_{102}^{(90,75)}(t))\\sigma_{90}^{X} + \\Omega_{d,91}(U_{103}^{(91,79)}(t))\\sigma_{91}^{X} \\\\ & + \\Omega_{d,92}(U_{104}^{(92,102)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{105}^{(93,87)}(t)+U_{106}^{(93,106)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,94}(U_{107}^{(94,90)}(t)+U_{108}^{(94,95)}(t))\\sigma_{94}^{X} + \\Omega_{d,96}(U_{111}^{(96,109)}(t)+U_{110}^{(96,97)}(t)+U_{109}^{(96,95)}(t))\\sigma_{96}^{X} \\\\ & + \\Omega_{d,97}(U_{112}^{(97,98)}(t))\\sigma_{97}^{X} + \\Omega_{d,98}(U_{113}^{(98,91)}(t))\\sigma_{98}^{X} \\\\ & + \\Omega_{d,99}(U_{114}^{(99,98)}(t))\\sigma_{99}^{X} + \\Omega_{d,100}(U_{116}^{(100,110)}(t)+U_{115}^{(100,99)}(t))\\sigma_{100}^{X} \\\\ & + \\Omega_{d,101}(U_{117}^{(101,100)}(t))\\sigma_{101}^{X} + \\Omega_{d,102}(U_{118}^{(102,101)}(t))\\sigma_{102}^{X} \\\\ & + \\Omega_{d,103}(U_{120}^{(103,104)}(t)+U_{119}^{(103,102)}(t))\\sigma_{103}^{X} + \\Omega_{d,104}(U_{121}^{(104,105)}(t)+U_{122}^{(104,111)}(t))\\sigma_{104}^{X} \\\\ & + \\Omega_{d,105}(U_{123}^{(105,106)}(t))\\sigma_{105}^{X} + \\Omega_{d,106}(U_{124}^{(106,107)}(t))\\sigma_{106}^{X} \\\\ & + \\Omega_{d,107}(U_{125}^{(107,108)}(t))\\sigma_{107}^{X} + \\Omega_{d,108}(U_{126}^{(108,112)}(t))\\sigma_{108}^{X} \\\\ & + \\Omega_{d,109}(U_{127}^{(109,114)}(t))\\sigma_{109}^{X} + \\Omega_{d,111}(U_{128}^{(111,122)}(t))\\sigma_{111}^{X} \\\\ & + \\Omega_{d,112}(U_{129}^{(112,126)}(t))\\sigma_{112}^{X} + \\Omega_{d,113}(U_{130}^{(113,114)}(t))\\sigma_{113}^{X} \\\\ & + \\Omega_{d,115}(U_{131}^{(115,114)}(t))\\sigma_{115}^{X} + \\Omega_{d,116}(U_{133}^{(116,117)}(t)+U_{132}^{(116,115)}(t))\\sigma_{116}^{X} \\\\ & + \\Omega_{d,117}(U_{134}^{(117,118)}(t))\\sigma_{117}^{X} + \\Omega_{d,118}(U_{135}^{(118,110)}(t)+U_{136}^{(118,119)}(t))\\sigma_{118}^{X} \\\\ & + \\Omega_{d,119}(U_{137}^{(119,120)}(t))\\sigma_{119}^{X} + \\Omega_{d,121}(U_{138}^{(121,120)}(t)+U_{139}^{(121,122)}(t))\\sigma_{121}^{X} \\\\ & + \\Omega_{d,123}(U_{140}^{(123,122)}(t)+U_{141}^{(123,124)}(t))\\sigma_{123}^{X} + \\Omega_{d,125}(U_{142}^{(125,124)}(t))\\sigma_{125}^{X} \\\\ & + \\Omega_{d,126}(U_{143}^{(126,125)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad1*X0||U0", "omegad1*X2||U1", "omegad2*X3||U2", "omegad15*X4||U4", "omegad3*X4||U3", "omegad6*X5||U6", "omegad4*X5||U5", "omegad6*X7||U7", "omegad7*X8||U8", "omegad8*X9||U9", "omegad9*X10||U10", "omegad12*X11||U12", "omegad10*X11||U11", "omegad17*X12||U13", "omegad12*X13||U14", "omegad0*X14||U15", "omegad8*X16||U16", "omegad30*X17||U17", "omegad19*X18||U19", "omegad14*X18||U18", "omegad19*X20||U20", "omegad33*X20||U21", "omegad22*X21||U23", "omegad20*X21||U22", "omegad15*X22||U24", "omegad22*X23||U25", "omegad24*X23||U26", "omegad24*X25||U27", "omegad16*X26||U28", "omegad27*X26||U30", "omegad25*X26||U29", "omegad27*X28||U31", "omegad30*X29||U33", "omegad28*X29||U32", "omegad31*X30||U34", "omegad32*X31||U35", "omegad36*X32||U36", "omegad39*X33||U37", "omegad24*X34||U38", "omegad28*X35||U39", "omegad47*X35||U40", "omegad51*X36||U41", "omegad38*X37||U42", "omegad39*X38||U43", "omegad41*X40||U45", "omegad39*X40||U44", "omegad41*X42||U46", "omegad43*X42||U47", "omegad34*X43||U48", "omegad44*X43||U49", "omegad45*X44||U50", "omegad47*X46||U52", "omegad45*X46||U51", "omegad49*X48||U54", "omegad47*X48||U53", "omegad49*X50||U55", "omegad50*X51||U56", "omegad56*X52||U58", "omegad37*X52||U57", "omegad41*X53||U59", "omegad64*X54||U61", "omegad45*X54||U60", "omegad68*X55||U63", "omegad49*X55||U62", "omegad57*X56||U64", "omegad58*X57||U65", "omegad71*X58||U67", "omegad59*X58||U66", "omegad53*X60||U68", "omegad61*X60||U70", "omegad59*X60||U69", "omegad63*X62||U72", "omegad61*X62||U71", "omegad63*X64||U73", "omegad66*X65||U75", "omegad64*X65||U74", "omegad73*X66||U76", "omegad68*X67||U78", "omegad66*X67||U77", "omegad69*X68||U79", "omegad69*X70||U80", "omegad74*X70||U81", "omegad62*X72||U82", "omegad81*X72||U83", "omegad85*X73||U84", "omegad89*X74||U85", "omegad77*X76||U87", "omegad75*X76||U86", "omegad71*X77||U88", "omegad77*X78||U89", "omegad78*X79||U90", "omegad81*X80||U92", "omegad79*X80||U91", "omegad82*X81||U93", 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{"operates": {"qubits": [123, 122]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [123, 124]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [125, 124]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [126, 125]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [14, 0]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [16, 8]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [17, 30]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [18, 14]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [20, 33]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [22, 15]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [23, 24]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [26, 16]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [26, 27]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [29, 28]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [29, 30]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [30, 31]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [32, 36]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [33, 39]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [34, 24]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [35, 28]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [4, 15]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [35, 47]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [36, 51]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [37, 38]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [38, 39]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [40, 39]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [40, 41]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [43, 34]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [44, 45]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [46, 45]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [46, 47]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [48, 47]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [48, 49]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [50, 49]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [51, 50]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [52, 37]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [52, 56]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [53, 41]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [54, 45]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [54, 64]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [55, 49]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [55, 68]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [56, 57]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [58, 59]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [58, 71]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [60, 53]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [60, 59]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [7, 6]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [60, 61]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [62, 61]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [62, 63]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [65, 64]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [65, 66]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [66, 73]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [67, 66]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [67, 68]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [68, 69]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [8, 7]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [70, 69]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [70, 74]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [72, 62]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [72, 81]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [73, 85]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [74, 89]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [76, 75]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [76, 77]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [77, 71]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [78, 77]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [79, 78]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [80, 79]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [80, 81]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [81, 82]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [83, 82]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [83, 92]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [84, 83]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [85, 86]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [87, 86]}, "purpose": "cross-resonance", "type": "control"}}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/cusco/defs_cusco.json b/qiskit_ibm_runtime/fake_provider/backends/cusco/defs_cusco.json
new file mode 100644
index 000000000..01d9a97e8
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/cusco/defs_cusco.json
@@ -0,0 +1 @@
+{"qubit_freq_est": [5.014982481627551, 4.955775039370185, 4.806657095434795, 5.232281694879282, 5.138287218428989, 4.987996280681617, 4.898880000121953, 5.022901315552583, 5.111744531189483, 5.153249514271878, 4.997062830388116, 5.1745234525219574, 4.935404588645414, 5.168663032681165, 4.930107305547402, 5.014957716509449, 5.279193979224664, 5.3955156818179075, 5.058583493511433, 4.958157690314698, 5.044085630836211, 5.159928091691546, 5.28231190358602, 5.162786301014468, 5.079754218129248, 5.137418895164864, 5.213551323640222, 5.033182503475799, 5.20831383515457, 5.117361117144152, 5.030238193637969, 5.187523071341145, 5.06768007385507, 5.143072121011085, 5.110029551726926, 5.265690769954216, 4.987782623511454, 5.15211673819826, 5.055790491066208, 5.0144179635965385, 4.913956137116732, 4.849428673202108, 5.188804953969492, 5.2461460882007955, 5.386880495496088, 4.959553315195563, 5.220007113980828, 5.369663837799068, 5.042575595789668, 5.148462144525111, 5.0709464037012255, 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/cusco/fake_cusco.py b/qiskit_ibm_runtime/fake_provider/backends/cusco/fake_cusco.py
new file mode 100644
index 000000000..bcca7ce02
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/cusco/fake_cusco.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Cusco device (127 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeCusco(fake_backend.FakeBackendV2):
+    """A fake 127 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_cusco.json"  # type: ignore
+    props_filename = "props_cusco.json"  # type: ignore
+    defs_filename = "defs_cusco.json"  # type: ignore
+    backend_name = "fake_cusco"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/cusco/props_cusco.json b/qiskit_ibm_runtime/fake_provider/backends/cusco/props_cusco.json
new file mode 100644
index 000000000..b014a1628
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/cusco/props_cusco.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_cusco", "backend_version": "1.0.25", "last_update_date": "2024-02-28T09:05:57-05:00", "qubits": [[{"date": "2024-02-27T01:59:18-05:00", "name": "T1", "unit": "us", "value": 223.7036813728529}, {"date": "2024-02-28T01:37:21-05:00", "name": "T2", "unit": "us", "value": 51.22543662294568}, {"date": "2024-02-28T09:05:57-05:00", "name": "frequency", "unit": "GHz", "value": 5.014982481627551}, {"date": "2024-02-28T09:05:57-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3073897230302147}, {"date": "2024-02-28T01:07:28-05:00", "name": "readout_error", "unit": "", "value": 0.06030000000000002}, {"date": "2024-02-28T01:07:28-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0262}, {"date": "2024-02-28T01:07:28-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0944}, {"date": "2024-02-28T01:07:28-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-28T01:26:24-05:00", "name": "T1", "unit": "us", "value": 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"2024-02-28T01:07:28-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.009}, {"date": "2024-02-28T01:07:28-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], [{"date": "2024-02-28T01:26:24-05:00", "name": "T1", "unit": "us", "value": 18.424582314698565}, {"date": "2024-02-28T01:53:01-05:00", "name": "T2", "unit": "us", "value": 33.148628213586775}, {"date": "2024-02-28T09:05:57-05:00", "name": "frequency", "unit": "GHz", "value": 4.987996280681617}, {"date": "2024-02-28T09:05:57-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3075531678616803}, {"date": "2024-02-28T01:07:28-05:00", "name": "readout_error", "unit": "", "value": 0.014100000000000001}, {"date": "2024-02-28T01:07:28-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.02300000000000002}, {"date": "2024-02-28T01:07:28-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0052}, {"date": "2024-02-28T01:07:28-05:00", "name": "readout_length", "unit": "ns", "value": 4000}], 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kawasaki/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/__init__.py
new file mode 100644
index 000000000..c6cfa94c3
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Kawasaki backend (127 qubit).
+"""
+
+from .fake_kawasaki import FakeKawasaki
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kawasaki/conf_kawasaki.json b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/conf_kawasaki.json
new file mode 100644
index 000000000..69e405732
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/conf_kawasaki.json
@@ -0,0 +1 @@
+{"backend_name": "alt_kawasaki", "backend_version": "2.0.0", "n_qubits": 127, "basis_gates": ["ecr", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], 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[[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) \\\\ & + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) \\\\ & + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) \\\\ & + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) \\\\ & + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) \\\\ & + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) \\\\ & + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) \\\\ & + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) \\\\ & + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,14)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,4}(U_{5}^{(4,5)}(t)+U_{6}^{(4,15)}(t)+U_{4}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ & + \\Omega_{d,6}(U_{8}^{(6,7)}(t)+U_{7}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{9}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{10}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,10}(U_{11}^{(10,9)}(t))\\sigma_{10}^{X} \\\\ & + \\Omega_{d,11}(U_{12}^{(11,10)}(t)+U_{13}^{(11,12)}(t))\\sigma_{11}^{X} + \\Omega_{d,13}(U_{14}^{(13,12)}(t))\\sigma_{13}^{X} \\\\ & + \\Omega_{d,15}(U_{15}^{(15,22)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{16}^{(16,8)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{17}^{(17,12)}(t)+U_{18}^{(17,30)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{19}^{(18,14)}(t)+U_{20}^{(18,19)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,19}(U_{21}^{(19,20)}(t))\\sigma_{19}^{X} + \\Omega_{d,21}(U_{22}^{(21,20)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{23}^{(22,21)}(t)+U_{24}^{(22,23)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{25}^{(23,24)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{26}^{(24,25)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{27}^{(25,26)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{28}^{(26,16)}(t))\\sigma_{26}^{X} + \\Omega_{d,27}(U_{29}^{(27,26)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{30}^{(28,27)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{31}^{(29,28)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,31}(U_{32}^{(31,30)}(t))\\sigma_{31}^{X} + \\Omega_{d,32}(U_{33}^{(32,31)}(t))\\sigma_{32}^{X} \\\\ & + \\Omega_{d,33}(U_{34}^{(33,20)}(t))\\sigma_{33}^{X} + \\Omega_{d,34}(U_{35}^{(34,24)}(t))\\sigma_{34}^{X} \\\\ & + \\Omega_{d,35}(U_{36}^{(35,28)}(t)+U_{37}^{(35,47)}(t))\\sigma_{35}^{X} + \\Omega_{d,36}(U_{38}^{(36,32)}(t))\\sigma_{36}^{X} \\\\ & + \\Omega_{d,38}(U_{40}^{(38,39)}(t)+U_{39}^{(38,37)}(t))\\sigma_{38}^{X} + \\Omega_{d,39}(U_{42}^{(39,40)}(t)+U_{41}^{(39,33)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,41}(U_{44}^{(41,42)}(t)+U_{43}^{(41,40)}(t))\\sigma_{41}^{X} + \\Omega_{d,43}(U_{46}^{(43,42)}(t)+U_{45}^{(43,34)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{48}^{(44,45)}(t)+U_{47}^{(44,43)}(t))\\sigma_{44}^{X} + \\Omega_{d,46}(U_{49}^{(46,45)}(t))\\sigma_{46}^{X} \\\\ & + \\Omega_{d,47}(U_{50}^{(47,46)}(t))\\sigma_{47}^{X} + \\Omega_{d,48}(U_{52}^{(48,49)}(t)+U_{51}^{(48,47)}(t))\\sigma_{48}^{X} \\\\ & + \\Omega_{d,49}(U_{53}^{(49,50)}(t))\\sigma_{49}^{X} + \\Omega_{d,51}(U_{54}^{(51,36)}(t)+U_{55}^{(51,50)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{56}^{(52,37)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{57}^{(53,41)}(t)+U_{58}^{(53,60)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{59}^{(54,45)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{60}^{(55,49)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,56}(U_{61}^{(56,52)}(t)+U_{62}^{(56,57)}(t))\\sigma_{56}^{X} + \\Omega_{d,57}(U_{63}^{(57,58)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{64}^{(58,71)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{65}^{(59,58)}(t)+U_{66}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{67}^{(60,61)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{68}^{(61,62)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,63}(U_{70}^{(63,64)}(t)+U_{69}^{(63,62)}(t))\\sigma_{63}^{X} + \\Omega_{d,64}(U_{71}^{(64,54)}(t)+U_{72}^{(64,65)}(t))\\sigma_{64}^{X} \\\\ & + \\Omega_{d,65}(U_{73}^{(65,66)}(t))\\sigma_{65}^{X} + \\Omega_{d,66}(U_{75}^{(66,73)}(t)+U_{74}^{(66,67)}(t))\\sigma_{66}^{X} \\\\ & + \\Omega_{d,67}(U_{76}^{(67,68)}(t))\\sigma_{67}^{X} + \\Omega_{d,68}(U_{77}^{(68,55)}(t))\\sigma_{68}^{X} \\\\ & + \\Omega_{d,69}(U_{79}^{(69,70)}(t)+U_{78}^{(69,68)}(t))\\sigma_{69}^{X} + \\Omega_{d,71}(U_{80}^{(71,77)}(t))\\sigma_{71}^{X} \\\\ & + \\Omega_{d,72}(U_{81}^{(72,62)}(t))\\sigma_{72}^{X} + \\Omega_{d,74}(U_{83}^{(74,89)}(t)+U_{82}^{(74,70)}(t))\\sigma_{74}^{X} \\\\ & + \\Omega_{d,75}(U_{84}^{(75,76)}(t))\\sigma_{75}^{X} + \\Omega_{d,77}(U_{85}^{(77,76)}(t))\\sigma_{77}^{X} \\\\ & + \\Omega_{d,78}(U_{86}^{(78,77)}(t)+U_{87}^{(78,79)}(t))\\sigma_{78}^{X} + \\Omega_{d,79}(U_{88}^{(79,91)}(t))\\sigma_{79}^{X} \\\\ & + \\Omega_{d,80}(U_{90}^{(80,81)}(t)+U_{89}^{(80,79)}(t))\\sigma_{80}^{X} + \\Omega_{d,81}(U_{91}^{(81,72)}(t))\\sigma_{81}^{X} \\\\ & + \\Omega_{d,82}(U_{92}^{(82,81)}(t))\\sigma_{82}^{X} + \\Omega_{d,83}(U_{93}^{(83,82)}(t))\\sigma_{83}^{X} \\\\ & + \\Omega_{d,84}(U_{94}^{(84,83)}(t)+U_{95}^{(84,85)}(t))\\sigma_{84}^{X} + \\Omega_{d,85}(U_{96}^{(85,73)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{98}^{(86,87)}(t)+U_{97}^{(86,85)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{99}^{(87,93)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,88}(U_{100}^{(88,87)}(t)+U_{101}^{(88,89)}(t))\\sigma_{88}^{X} + \\Omega_{d,90}(U_{103}^{(90,94)}(t)+U_{102}^{(90,75)}(t))\\sigma_{90}^{X} \\\\ & + \\Omega_{d,92}(U_{105}^{(92,102)}(t)+U_{104}^{(92,83)}(t))\\sigma_{92}^{X} + \\Omega_{d,95}(U_{107}^{(95,96)}(t)+U_{106}^{(95,94)}(t))\\sigma_{95}^{X} \\\\ & + \\Omega_{d,96}(U_{108}^{(96,109)}(t))\\sigma_{96}^{X} + \\Omega_{d,97}(U_{109}^{(97,96)}(t)+U_{110}^{(97,98)}(t))\\sigma_{97}^{X} \\\\ & + \\Omega_{d,98}(U_{112}^{(98,99)}(t)+U_{111}^{(98,91)}(t))\\sigma_{98}^{X} + \\Omega_{d,100}(U_{113}^{(100,99)}(t)+U_{114}^{(100,101)}(t))\\sigma_{100}^{X} \\\\ & + \\Omega_{d,101}(U_{115}^{(101,102)}(t))\\sigma_{101}^{X} + \\Omega_{d,102}(U_{116}^{(102,103)}(t))\\sigma_{102}^{X} \\\\ & + \\Omega_{d,104}(U_{117}^{(104,103)}(t)+U_{119}^{(104,111)}(t)+U_{118}^{(104,105)}(t))\\sigma_{104}^{X} + \\Omega_{d,106}(U_{121}^{(106,105)}(t)+U_{120}^{(106,93)}(t)+U_{122}^{(106,107)}(t))\\sigma_{106}^{X} \\\\ & + \\Omega_{d,107}(U_{123}^{(107,108)}(t))\\sigma_{107}^{X} + \\Omega_{d,108}(U_{124}^{(108,112)}(t))\\sigma_{108}^{X} \\\\ & + \\Omega_{d,110}(U_{125}^{(110,100)}(t))\\sigma_{110}^{X} + \\Omega_{d,112}(U_{126}^{(112,126)}(t))\\sigma_{112}^{X} \\\\ & + \\Omega_{d,114}(U_{128}^{(114,113)}(t)+U_{129}^{(114,115)}(t)+U_{127}^{(114,109)}(t))\\sigma_{114}^{X} + \\Omega_{d,116}(U_{130}^{(116,115)}(t)+U_{131}^{(116,117)}(t))\\sigma_{116}^{X} \\\\ & + \\Omega_{d,118}(U_{132}^{(118,110)}(t)+U_{133}^{(118,117)}(t))\\sigma_{118}^{X} + \\Omega_{d,119}(U_{134}^{(119,118)}(t)+U_{135}^{(119,120)}(t))\\sigma_{119}^{X} \\\\ & + \\Omega_{d,120}(U_{136}^{(120,121)}(t))\\sigma_{120}^{X} + \\Omega_{d,121}(U_{137}^{(121,122)}(t))\\sigma_{121}^{X} \\\\ & + \\Omega_{d,122}(U_{138}^{(122,111)}(t)+U_{139}^{(122,123)}(t))\\sigma_{122}^{X} + \\Omega_{d,123}(U_{140}^{(123,124)}(t))\\sigma_{123}^{X} \\\\ & + \\Omega_{d,124}(U_{141}^{(124,125)}(t))\\sigma_{124}^{X} + \\Omega_{d,126}(U_{142}^{(126,125)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad1*X0||U0", "omegad14*X0||U1", "omegad2*X1||U2", "omegad3*X2||U3", "omegad5*X4||U5", "omegad15*X4||U6", "omegad3*X4||U4", "omegad7*X6||U8", "omegad5*X6||U7", "omegad8*X7||U9", "omegad9*X8||U10", "omegad9*X10||U11", "omegad10*X11||U12", "omegad12*X11||U13", "omegad12*X13||U14", "omegad22*X15||U15", "omegad8*X16||U16", "omegad12*X17||U17", "omegad30*X17||U18", "omegad14*X18||U19", "omegad19*X18||U20", "omegad20*X19||U21", "omegad20*X21||U22", "omegad21*X22||U23", "omegad23*X22||U24", "omegad24*X23||U25", "omegad25*X24||U26", "omegad26*X25||U27", "omegad16*X26||U28", "omegad26*X27||U29", "omegad27*X28||U30", "omegad28*X29||U31", "omegad30*X31||U32", "omegad31*X32||U33", "omegad20*X33||U34", "omegad24*X34||U35", "omegad28*X35||U36", "omegad47*X35||U37", "omegad32*X36||U38", "omegad39*X38||U40", "omegad37*X38||U39", "omegad40*X39||U42", "omegad33*X39||U41", "omegad42*X41||U44", "omegad40*X41||U43", "omegad42*X43||U46", "omegad34*X43||U45", "omegad45*X44||U48", "omegad43*X44||U47", "omegad45*X46||U49", "omegad46*X47||U50", "omegad49*X48||U52", "omegad47*X48||U51", "omegad50*X49||U53", "omegad36*X51||U54", "omegad50*X51||U55", "omegad37*X52||U56", "omegad41*X53||U57", "omegad60*X53||U58", "omegad45*X54||U59", "omegad49*X55||U60", "omegad52*X56||U61", "omegad57*X56||U62", "omegad58*X57||U63", "omegad71*X58||U64", "omegad58*X59||U65", "omegad60*X59||U66", "omegad61*X60||U67", "omegad62*X61||U68", "omegad64*X63||U70", "omegad62*X63||U69", "omegad54*X64||U71", "omegad65*X64||U72", "omegad66*X65||U73", "omegad73*X66||U75", "omegad67*X66||U74", "omegad68*X67||U76", "omegad55*X68||U77", "omegad70*X69||U79", "omegad68*X69||U78", "omegad77*X71||U80", "omegad62*X72||U81", "omegad89*X74||U83", "omegad70*X74||U82", "omegad76*X75||U84", "omegad76*X77||U85", "omegad77*X78||U86", "omegad79*X78||U87", "omegad91*X79||U88", "omegad81*X80||U90", "omegad79*X80||U89", "omegad72*X81||U91", "omegad81*X82||U92", "omegad82*X83||U93", "omegad83*X84||U94", "omegad85*X84||U95", "omegad73*X85||U96", "omegad87*X86||U98", "omegad85*X86||U97", "omegad93*X87||U99", "omegad87*X88||U100", "omegad89*X88||U101", "omegad94*X90||U103", "omegad75*X90||U102", "omegad102*X92||U105", "omegad83*X92||U104", "omegad96*X95||U107", "omegad94*X95||U106", "omegad109*X96||U108", "omegad96*X97||U109", "omegad98*X97||U110", "omegad99*X98||U112", "omegad91*X98||U111", "omegad99*X100||U113", "omegad101*X100||U114", "omegad102*X101||U115", "omegad103*X102||U116", "omegad103*X104||U117", "omegad111*X104||U119", "omegad105*X104||U118", "omegad105*X106||U121", "omegad93*X106||U120", "omegad107*X106||U122", "omegad108*X107||U123", "omegad112*X108||U124", "omegad100*X110||U125", "omegad126*X112||U126", "omegad113*X114||U128", "omegad115*X114||U129", "omegad109*X114||U127", "omegad115*X116||U130", "omegad117*X116||U131", "omegad110*X118||U132", "omegad117*X118||U133", "omegad118*X119||U134", "omegad120*X119||U135", "omegad121*X120||U136", "omegad122*X121||U137", "omegad111*X122||U138", "omegad123*X122||U139", "omegad124*X123||U140", "omegad125*X124||U141", "omegad125*X126||U142"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3, "65": 3, "66": 3, "67": 3, "68": 3, "69": 3, "70": 3, "71": 3, "72": 3, "73": 3, "74": 3, "75": 3, "76": 3, "77": 3, "78": 3, "79": 3, "80": 3, "81": 3, "82": 3, "83": 3, "84": 3, "85": 3, "86": 3, "87": 3, "88": 3, "89": 3, "90": 3, "91": 3, "92": 3, "93": 3, "94": 3, "95": 3, "96": 3, "97": 3, "98": 3, "99": 3, "100": 3, "101": 3, "102": 3, "103": 3, "104": 3, "105": 3, "106": 3, "107": 3, "108": 3, "109": 3, "110": 3, "111": 3, "112": 3, "113": 3, "114": 3, "115": 3, "116": 3, "117": 3, "118": 3, "119": 3, "120": 3, "121": 3, "122": 3, 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kawasaki/defs_kawasaki.json b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/defs_kawasaki.json
new file mode 100644
index 000000000..e453802e6
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/defs_kawasaki.json
@@ -0,0 +1 @@
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125, 126]}]}, {"name": "measure", "qubits": [24], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m24", "label": "M_m24", "pulse_shape": "gaussian_square", "parameters": {"amp": [0.5931506881869016, 0.0904005591985192], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 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115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]}]}, {"name": "measure", "qubits": [67], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m67", "label": "M_m67", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.21090150466844992, 0.4311850592594597], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 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120, 121, 122, 123, 124, 125, 126]}]}, {"name": "measure", "qubits": [77], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m77", "label": "M_m77", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.047288041139038506, 0.7485077428892988], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 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124, 125, 126]}]}, {"name": "measure", "qubits": [87], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m87", "label": "M_m87", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.288260558082545, 0.18029378983741984], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 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{"name": "measure", "qubits": [107], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m107", "label": "M_m107", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.08388232743949638, -0.4929135371881494], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 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117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]}]}, {"name": "measure", "qubits": [111], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m111", "label": "M_m111", "pulse_shape": "gaussian_square", "parameters": {"amp": [0.38776783897923545, 0.22833331568865228], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 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{"name": "measure", "qubits": [112], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m112", "label": "M_m112", "pulse_shape": "gaussian_square", "parameters": {"amp": [0.07641007696736547, -0.09252837477142503], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 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{"name": "measure", "qubits": [117], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m117", "label": "M_m117", "pulse_shape": "gaussian_square", "parameters": {"amp": [0.31803465337783904, -0.3858159655209175], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 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85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]}]}, {"name": "measure", "qubits": [120], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m120", "label": "M_m120", "pulse_shape": "gaussian_square", "parameters": {"amp": [0.25905383296999845, -0.24998222261503344], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]}]}, {"name": "measure", "qubits": [121], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m121", "label": "M_m121", "pulse_shape": "gaussian_square", "parameters": {"amp": [0.11955171604015832, 0.010362779156835693], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 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{"name": "measure", "qubits": [122], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m122", "label": "M_m122", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.3320913574094453, -0.042501415669975874], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]}]}, {"name": "measure", "qubits": [123], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m123", "label": "M_m123", "pulse_shape": "gaussian_square", "parameters": {"amp": [0.08615178268702867, 0.3081847990083985], "duration": 3840, "sigma": 64, "width": 3584}}, {"name": "acquire", "t0": 0, "duration": 3840, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 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[{"name": "parametric_pulse", "t0": 0, "ch": "d111", "label": "Xp_d111", "pulse_shape": "drag", "parameters": {"amp": [0.17119346482207692, 0.0], "beta": 2.5750248363004635, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [112], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d112", "label": "Xp_d112", "pulse_shape": "drag", "parameters": {"amp": [0.20104942341865242, 0.0], "beta": -0.12502454515161135, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [113], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d113", "label": "Xp_d113", "pulse_shape": "drag", "parameters": {"amp": [0.19252657773392454, 0.0], "beta": 0.7231725187724247, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [114], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d114", "label": "Xp_d114", "pulse_shape": "drag", "parameters": {"amp": [0.1374900818369713, 0.0], "beta": -2.6021499438473645, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [115], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d115", "label": "Xp_d115", "pulse_shape": "drag", "parameters": {"amp": [0.19094083726306865, 0.0], "beta": 3.880293609823038, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [116], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d116", "label": "Xp_d116", "pulse_shape": "drag", "parameters": {"amp": [0.19719175804026842, 0.0], "beta": 2.433305335049001, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [117], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d117", "label": "Xp_d117", "pulse_shape": "drag", "parameters": {"amp": [0.19098907940605547, 0.0], "beta": -2.2249572010968386, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [118], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d118", "label": "Xp_d118", "pulse_shape": "drag", "parameters": {"amp": [0.16122422838942838, 0.0], "beta": 2.951824508077519, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [119], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d119", "label": "Xp_d119", "pulse_shape": "drag", "parameters": {"amp": [0.19482181881420219, 0.0], "beta": 4.7634521369766185, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [120], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d120", "label": "Xp_d120", "pulse_shape": "drag", "parameters": {"amp": [0.19295904206753492, 0.0], "beta": -2.9201201322592145, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [121], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d121", "label": "Xp_d121", "pulse_shape": "drag", "parameters": {"amp": [0.19786258031970544, 0.0], "beta": -1.2511775232090194, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [122], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d122", "label": "Xp_d122", "pulse_shape": "drag", "parameters": {"amp": [0.1926211633028222, 0.0], "beta": -2.4316421343840258, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [123], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d123", "label": "Xp_d123", "pulse_shape": "drag", "parameters": {"amp": [0.19991889529602308, 0.0], "beta": -1.0639824197131753, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [124], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d124", "label": "Xp_d124", "pulse_shape": "drag", "parameters": {"amp": [0.1965402187373356, 0.0], "beta": 5.400701310831489, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [125], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d125", "label": "Xp_d125", "pulse_shape": "drag", "parameters": {"amp": [0.1921259499640045, 0.0], "beta": -2.99891761828057, "duration": 240, "sigma": 60}}]}, {"name": "x", "qubits": [126], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d126", "label": "Xp_d126", "pulse_shape": "drag", "parameters": {"amp": [0.19243556618176838, 0.0], "beta": -2.8523315322449125, "duration": 240, "sigma": 60}}]}], "meas_kernel": {"name": "hw_qmfk", "params": {}}, "discriminator": {"name": "hw_qmfk", "params": {}}, "_data": {}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kawasaki/fake_kawasaki.py b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/fake_kawasaki.py
new file mode 100644
index 000000000..f4303e647
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/fake_kawasaki.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Kawasaki device (127 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeKawasaki(fake_backend.FakeBackendV2):
+    """A fake 127 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_kawasaki.json"  # type: ignore
+    props_filename = "props_kawasaki.json"  # type: ignore
+    defs_filename = "defs_kawasaki.json"  # type: ignore
+    backend_name = "fake_kawasaki"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kawasaki/props_kawasaki.json b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/props_kawasaki.json
new file mode 100644
index 000000000..d66a68164
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kawasaki/props_kawasaki.json
@@ -0,0 +1 @@
+{"backend_name": "alt_kawasaki", "backend_version": "2.0.0", "last_update_date": "2023-09-29T22:15:53-04:00", "qubits": [[{"date": "2023-09-28T11:37:44-04:00", "name": "T1", "unit": "us", "value": 107.35433366527712}, {"date": "2023-09-28T11:40:40-04:00", "name": "T2", "unit": "us", "value": 116.59885507295891}, {"date": "2023-09-29T22:15:53-04:00", "name": "frequency", "unit": "GHz", "value": 5.243555626134729}, {"date": "2023-09-29T22:15:53-04:00", "name": "anharmonicity", "unit": "GHz", "value": -0.20640003780600244}, {"date": "2023-09-28T11:32:15-04:00", "name": "readout_error", "unit": "", "value": 0.03370000000000006}, {"date": "2023-09-28T11:32:15-04:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.03500000000000003}, {"date": "2023-09-28T11:32:15-04:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0324}, {"date": "2023-09-28T11:32:15-04:00", "name": "readout_length", "unit": "ns", "value": 853.3333333333333}], [{"date": "2023-09-28T11:37:44-04:00", "name": "T1", 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyiv/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/kyiv/__init__.py
new file mode 100644
index 000000000..154adf204
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyiv/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Kyiv backend (127 qubit).
+"""
+
+from .fake_kyiv import FakeKyiv
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyiv/conf_kyiv.json b/qiskit_ibm_runtime/fake_provider/backends/kyiv/conf_kyiv.json
new file mode 100644
index 000000000..8b4c12c9d
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyiv/conf_kyiv.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_kyiv", "backend_version": "1.20.2", "n_qubits": 127, "basis_gates": ["ecr", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], 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64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t)+U_{1}^{(0,14)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{3}^{(2,3)}(t))\\sigma_{2}^{X} + \\Omega_{d,4}(U_{5}^{(4,15)}(t)+U_{4}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ & + \\Omega_{d,5}(U_{6}^{(5,4)}(t))\\sigma_{5}^{X} + \\Omega_{d,6}(U_{7}^{(6,5)}(t))\\sigma_{6}^{X} \\\\ & + \\Omega_{d,7}(U_{9}^{(7,8)}(t)+U_{8}^{(7,6)}(t))\\sigma_{7}^{X} + \\Omega_{d,8}(U_{10}^{(8,9)}(t))\\sigma_{8}^{X} \\\\ & + \\Omega_{d,10}(U_{12}^{(10,11)}(t)+U_{11}^{(10,9)}(t))\\sigma_{10}^{X} + \\Omega_{d,11}(U_{13}^{(11,12)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,13}(U_{14}^{(13,12)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{15}^{(14,18)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,16}(U_{16}^{(16,8)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{17}^{(17,12)}(t)+U_{18}^{(17,30)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,19}(U_{19}^{(19,18)}(t))\\sigma_{19}^{X} + \\Omega_{d,20}(U_{20}^{(20,19)}(t))\\sigma_{20}^{X} \\\\ & + \\Omega_{d,21}(U_{21}^{(21,20)}(t)+U_{22}^{(21,22)}(t))\\sigma_{21}^{X} + \\Omega_{d,22}(U_{24}^{(22,23)}(t)+U_{23}^{(22,15)}(t))\\sigma_{22}^{X} \\\\ & + \\Omega_{d,23}(U_{25}^{(23,24)}(t))\\sigma_{23}^{X} + \\Omega_{d,24}(U_{26}^{(24,25)}(t))\\sigma_{24}^{X} \\\\ & + \\Omega_{d,26}(U_{29}^{(26,27)}(t)+U_{27}^{(26,16)}(t)+U_{28}^{(26,25)}(t))\\sigma_{26}^{X} + \\Omega_{d,28}(U_{30}^{(28,27)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,29}(U_{31}^{(29,28)}(t)+U_{32}^{(29,30)}(t))\\sigma_{29}^{X} + \\Omega_{d,31}(U_{34}^{(31,32)}(t)+U_{33}^{(31,30)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,33}(U_{36}^{(33,39)}(t)+U_{35}^{(33,20)}(t))\\sigma_{33}^{X} + \\Omega_{d,34}(U_{37}^{(34,24)}(t))\\sigma_{34}^{X} \\\\ & + \\Omega_{d,35}(U_{39}^{(35,47)}(t)+U_{38}^{(35,28)}(t))\\sigma_{35}^{X} + \\Omega_{d,36}(U_{41}^{(36,51)}(t)+U_{40}^{(36,32)}(t))\\sigma_{36}^{X} \\\\ & + \\Omega_{d,37}(U_{42}^{(37,38)}(t)+U_{43}^{(37,52)}(t))\\sigma_{37}^{X} + \\Omega_{d,39}(U_{44}^{(39,38)}(t))\\sigma_{39}^{X} \\\\ & + \\Omega_{d,40}(U_{46}^{(40,41)}(t)+U_{45}^{(40,39)}(t))\\sigma_{40}^{X} + \\Omega_{d,42}(U_{48}^{(42,43)}(t)+U_{47}^{(42,41)}(t))\\sigma_{42}^{X} \\\\ & + \\Omega_{d,43}(U_{49}^{(43,34)}(t))\\sigma_{43}^{X} + \\Omega_{d,44}(U_{50}^{(44,43)}(t))\\sigma_{44}^{X} \\\\ & + \\Omega_{d,45}(U_{52}^{(45,46)}(t)+U_{51}^{(45,44)}(t))\\sigma_{45}^{X} + \\Omega_{d,46}(U_{53}^{(46,47)}(t))\\sigma_{46}^{X} \\\\ & + \\Omega_{d,48}(U_{54}^{(48,47)}(t)+U_{55}^{(48,49)}(t))\\sigma_{48}^{X} + \\Omega_{d,50}(U_{56}^{(50,49)}(t)+U_{57}^{(50,51)}(t))\\sigma_{50}^{X} \\\\ & + \\Omega_{d,53}(U_{59}^{(53,60)}(t)+U_{58}^{(53,41)}(t))\\sigma_{53}^{X} + \\Omega_{d,54}(U_{61}^{(54,64)}(t)+U_{60}^{(54,45)}(t))\\sigma_{54}^{X} \\\\ & + \\Omega_{d,55}(U_{62}^{(55,49)}(t))\\sigma_{55}^{X} + \\Omega_{d,56}(U_{63}^{(56,52)}(t))\\sigma_{56}^{X} \\\\ & + \\Omega_{d,57}(U_{65}^{(57,58)}(t)+U_{64}^{(57,56)}(t))\\sigma_{57}^{X} + \\Omega_{d,58}(U_{67}^{(58,71)}(t)+U_{66}^{(58,59)}(t))\\sigma_{58}^{X} \\\\ & + \\Omega_{d,59}(U_{68}^{(59,60)}(t))\\sigma_{59}^{X} + \\Omega_{d,60}(U_{69}^{(60,61)}(t))\\sigma_{60}^{X} \\\\ & + \\Omega_{d,61}(U_{70}^{(61,62)}(t))\\sigma_{61}^{X} + \\Omega_{d,63}(U_{71}^{(63,62)}(t)+U_{72}^{(63,64)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{73}^{(64,65)}(t))\\sigma_{64}^{X} + \\Omega_{d,66}(U_{75}^{(66,67)}(t)+U_{74}^{(66,65)}(t))\\sigma_{66}^{X} \\\\ & + \\Omega_{d,67}(U_{76}^{(67,68)}(t))\\sigma_{67}^{X} + \\Omega_{d,68}(U_{78}^{(68,69)}(t)+U_{77}^{(68,55)}(t))\\sigma_{68}^{X} \\\\ & + \\Omega_{d,69}(U_{79}^{(69,70)}(t))\\sigma_{69}^{X} + \\Omega_{d,70}(U_{80}^{(70,74)}(t))\\sigma_{70}^{X} \\\\ & + \\Omega_{d,72}(U_{82}^{(72,81)}(t)+U_{81}^{(72,62)}(t))\\sigma_{72}^{X} + \\Omega_{d,73}(U_{83}^{(73,66)}(t)+U_{84}^{(73,85)}(t))\\sigma_{73}^{X} \\\\ & + \\Omega_{d,75}(U_{86}^{(75,90)}(t)+U_{85}^{(75,76)}(t))\\sigma_{75}^{X} + \\Omega_{d,76}(U_{87}^{(76,77)}(t))\\sigma_{76}^{X} \\\\ & + \\Omega_{d,77}(U_{89}^{(77,78)}(t)+U_{88}^{(77,71)}(t))\\sigma_{77}^{X} + \\Omega_{d,79}(U_{90}^{(79,78)}(t))\\sigma_{79}^{X} \\\\ & + \\Omega_{d,80}(U_{92}^{(80,81)}(t)+U_{91}^{(80,79)}(t))\\sigma_{80}^{X} + \\Omega_{d,82}(U_{94}^{(82,83)}(t)+U_{93}^{(82,81)}(t))\\sigma_{82}^{X} \\\\ & + \\Omega_{d,84}(U_{95}^{(84,83)}(t))\\sigma_{84}^{X} + \\Omega_{d,85}(U_{96}^{(85,84)}(t)+U_{97}^{(85,86)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,87}(U_{98}^{(87,86)}(t)+U_{99}^{(87,93)}(t))\\sigma_{87}^{X} + \\Omega_{d,88}(U_{100}^{(88,87)}(t)+U_{101}^{(88,89)}(t))\\sigma_{88}^{X} \\\\ & + \\Omega_{d,89}(U_{102}^{(89,74)}(t))\\sigma_{89}^{X} + \\Omega_{d,91}(U_{104}^{(91,98)}(t)+U_{103}^{(91,79)}(t))\\sigma_{91}^{X} \\\\ & + \\Omega_{d,92}(U_{105}^{(92,83)}(t)+U_{106}^{(92,102)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{107}^{(93,106)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,94}(U_{108}^{(94,90)}(t)+U_{109}^{(94,95)}(t))\\sigma_{94}^{X} + \\Omega_{d,96}(U_{110}^{(96,95)}(t)+U_{112}^{(96,109)}(t)+U_{111}^{(96,97)}(t))\\sigma_{96}^{X} \\\\ & + \\Omega_{d,97}(U_{113}^{(97,98)}(t))\\sigma_{97}^{X} + \\Omega_{d,98}(U_{114}^{(98,99)}(t))\\sigma_{98}^{X} \\\\ & + \\Omega_{d,100}(U_{116}^{(100,110)}(t)+U_{115}^{(100,99)}(t))\\sigma_{100}^{X} + \\Omega_{d,101}(U_{118}^{(101,102)}(t)+U_{117}^{(101,100)}(t))\\sigma_{101}^{X} \\\\ & + \\Omega_{d,103}(U_{120}^{(103,104)}(t)+U_{119}^{(103,102)}(t))\\sigma_{103}^{X} + \\Omega_{d,105}(U_{122}^{(105,106)}(t)+U_{121}^{(105,104)}(t))\\sigma_{105}^{X} \\\\ & + \\Omega_{d,107}(U_{124}^{(107,108)}(t)+U_{123}^{(107,106)}(t))\\sigma_{107}^{X} + \\Omega_{d,108}(U_{125}^{(108,112)}(t))\\sigma_{108}^{X} \\\\ & + \\Omega_{d,109}(U_{126}^{(109,114)}(t))\\sigma_{109}^{X} + \\Omega_{d,110}(U_{127}^{(110,118)}(t))\\sigma_{110}^{X} \\\\ & + \\Omega_{d,111}(U_{129}^{(111,122)}(t)+U_{128}^{(111,104)}(t))\\sigma_{111}^{X} + \\Omega_{d,114}(U_{131}^{(114,115)}(t)+U_{130}^{(114,113)}(t))\\sigma_{114}^{X} \\\\ & + \\Omega_{d,116}(U_{133}^{(116,117)}(t)+U_{132}^{(116,115)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{134}^{(117,118)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,118}(U_{135}^{(118,119)}(t))\\sigma_{118}^{X} + \\Omega_{d,119}(U_{136}^{(119,120)}(t))\\sigma_{119}^{X} \\\\ & + \\Omega_{d,121}(U_{137}^{(121,120)}(t))\\sigma_{121}^{X} + \\Omega_{d,122}(U_{138}^{(122,121)}(t)+U_{139}^{(122,123)}(t))\\sigma_{122}^{X} \\\\ & + \\Omega_{d,123}(U_{140}^{(123,124)}(t))\\sigma_{123}^{X} + \\Omega_{d,125}(U_{142}^{(125,126)}(t)+U_{141}^{(125,124)}(t))\\sigma_{125}^{X} \\\\ & + \\Omega_{d,126}(U_{143}^{(126,112)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad1*X0||U0", "omegad14*X0||U1", "omegad2*X1||U2", "omegad3*X2||U3", "omegad15*X4||U5", "omegad3*X4||U4", "omegad4*X5||U6", "omegad5*X6||U7", "omegad8*X7||U9", "omegad6*X7||U8", "omegad9*X8||U10", "omegad11*X10||U12", "omegad9*X10||U11", "omegad12*X11||U13", "omegad12*X13||U14", "omegad18*X14||U15", "omegad8*X16||U16", "omegad12*X17||U17", "omegad30*X17||U18", "omegad18*X19||U19", "omegad19*X20||U20", "omegad20*X21||U21", "omegad22*X21||U22", "omegad23*X22||U24", "omegad15*X22||U23", "omegad24*X23||U25", "omegad25*X24||U26", "omegad27*X26||U29", "omegad16*X26||U27", "omegad25*X26||U28", "omegad27*X28||U30", "omegad28*X29||U31", "omegad30*X29||U32", "omegad32*X31||U34", "omegad30*X31||U33", "omegad39*X33||U36", "omegad20*X33||U35", "omegad24*X34||U37", "omegad47*X35||U39", "omegad28*X35||U38", "omegad51*X36||U41", "omegad32*X36||U40", "omegad38*X37||U42", "omegad52*X37||U43", "omegad38*X39||U44", "omegad41*X40||U46", "omegad39*X40||U45", "omegad43*X42||U48", "omegad41*X42||U47", "omegad34*X43||U49", "omegad43*X44||U50", "omegad46*X45||U52", "omegad44*X45||U51", "omegad47*X46||U53", "omegad47*X48||U54", "omegad49*X48||U55", "omegad49*X50||U56", "omegad51*X50||U57", "omegad60*X53||U59", "omegad41*X53||U58", "omegad64*X54||U61", "omegad45*X54||U60", "omegad49*X55||U62", "omegad52*X56||U63", "omegad58*X57||U65", "omegad56*X57||U64", "omegad71*X58||U67", "omegad59*X58||U66", "omegad60*X59||U68", "omegad61*X60||U69", "omegad62*X61||U70", "omegad62*X63||U71", "omegad64*X63||U72", "omegad65*X64||U73", "omegad67*X66||U75", "omegad65*X66||U74", "omegad68*X67||U76", "omegad69*X68||U78", "omegad55*X68||U77", "omegad70*X69||U79", "omegad74*X70||U80", "omegad81*X72||U82", "omegad62*X72||U81", "omegad66*X73||U83", "omegad85*X73||U84", "omegad90*X75||U86", "omegad76*X75||U85", "omegad77*X76||U87", "omegad78*X77||U89", "omegad71*X77||U88", "omegad78*X79||U90", "omegad81*X80||U92", "omegad79*X80||U91", "omegad83*X82||U94", "omegad81*X82||U93", "omegad83*X84||U95", "omegad84*X85||U96", "omegad86*X85||U97", "omegad86*X87||U98", "omegad93*X87||U99", "omegad87*X88||U100", "omegad89*X88||U101", "omegad74*X89||U102", "omegad98*X91||U104", "omegad79*X91||U103", "omegad83*X92||U105", "omegad102*X92||U106", "omegad106*X93||U107", "omegad90*X94||U108", "omegad95*X94||U109", "omegad95*X96||U110", "omegad109*X96||U112", "omegad97*X96||U111", "omegad98*X97||U113", "omegad99*X98||U114", "omegad110*X100||U116", "omegad99*X100||U115", "omegad102*X101||U118", "omegad100*X101||U117", "omegad104*X103||U120", "omegad102*X103||U119", "omegad106*X105||U122", "omegad104*X105||U121", "omegad108*X107||U124", "omegad106*X107||U123", "omegad112*X108||U125", "omegad114*X109||U126", "omegad118*X110||U127", "omegad122*X111||U129", "omegad104*X111||U128", "omegad115*X114||U131", "omegad113*X114||U130", "omegad117*X116||U133", "omegad115*X116||U132", "omegad118*X117||U134", "omegad119*X118||U135", "omegad120*X119||U136", "omegad120*X121||U137", "omegad121*X122||U138", "omegad123*X122||U139", "omegad124*X123||U140", "omegad126*X125||U142", "omegad124*X125||U141", "omegad112*X126||U143"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3, "65": 3, "66": 3, "67": 3, "68": 3, "69": 3, "70": 3, "71": 3, "72": 3, "73": 3, "74": 3, "75": 3, "76": 3, "77": 3, "78": 3, "79": 3, "80": 3, "81": 3, "82": 3, "83": 3, "84": 3, "85": 3, "86": 3, "87": 3, "88": 3, "89": 3, "90": 3, "91": 3, "92": 3, "93": 3, "94": 3, "95": 3, "96": 3, "97": 3, "98": 3, "99": 3, "100": 3, "101": 3, "102": 3, "103": 3, "104": 3, "105": 3, "106": 3, "107": 3, "108": 3, "109": 3, "110": 3, "111": 3, "112": 3, "113": 3, "114": 3, "115": 3, "116": 3, "117": 3, "118": 3, "119": 3, "120": 3, "121": 3, "122": 3, "123": 3, 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyiv/defs_kyiv.json b/qiskit_ibm_runtime/fake_provider/backends/kyiv/defs_kyiv.json
new file mode 100644
index 000000000..a319a9d6f
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyiv/defs_kyiv.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyiv/fake_kyiv.py b/qiskit_ibm_runtime/fake_provider/backends/kyiv/fake_kyiv.py
new file mode 100644
index 000000000..31cd7c662
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyiv/fake_kyiv.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Kyiv device (127 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeKyiv(fake_backend.FakeBackendV2):
+    """A fake 127 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_kyiv.json"  # type: ignore
+    props_filename = "props_kyiv.json"  # type: ignore
+    defs_filename = "defs_kyiv.json"  # type: ignore
+    backend_name = "fake_kyiv"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyiv/props_kyiv.json b/qiskit_ibm_runtime/fake_provider/backends/kyiv/props_kyiv.json
new file mode 100644
index 000000000..ba22f07d9
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyiv/props_kyiv.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_kyiv", "backend_version": "1.20.2", "last_update_date": "2024-02-28T08:25:01-05:00", "qubits": [[{"date": "2024-02-28T01:26:21-05:00", "name": "T1", "unit": "us", "value": 364.03810294451944}, {"date": "2024-02-28T01:34:04-05:00", "name": "T2", "unit": "us", "value": 348.54936444011656}, {"date": "2024-02-28T08:25:01-05:00", "name": "frequency", "unit": "GHz", "value": 4.655609332053975}, {"date": "2024-02-28T08:25:01-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T01:16:32-05:00", "name": "readout_error", "unit": "", "value": 0.010099999999999998}, {"date": "2024-02-28T01:16:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.017199999999999993}, {"date": "2024-02-28T01:16:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.003}, {"date": "2024-02-28T01:16:32-05:00", "name": "readout_length", "unit": "ns", "value": 1244.4444444444443}], [{"date": "2024-02-28T01:26:21-05:00", "name": "T1", "unit": "us", "value": 569.0055349559576}, {"date": "2024-02-28T01:39:47-05:00", "name": "T2", "unit": "us", "value": 232.07678408770585}, {"date": "2024-02-28T08:25:01-05:00", "name": "frequency", "unit": "GHz", "value": 4.534975859426202}, {"date": "2024-02-28T08:25:01-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T01:16:32-05:00", "name": "readout_error", "unit": "", "value": 0.0008999999999999009}, {"date": "2024-02-28T01:16:32-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0013999999999999568}, {"date": "2024-02-28T01:16:32-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0004}, {"date": "2024-02-28T01:16:32-05:00", "name": "readout_length", "unit": "ns", "value": 1244.4444444444443}], [{"date": "2024-02-28T01:26:21-05:00", "name": "T1", "unit": "us", "value": 305.2640970754664}, {"date": "2024-02-28T01:34:04-05:00", "name": "T2", "unit": "us", "value": 119.74204462601469}, {"date": "2024-02-28T08:25:01-05:00", "name": "frequency", 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyoto/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/kyoto/__init__.py
new file mode 100644
index 000000000..3d7096225
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyoto/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Kyoto backend (127 qubit).
+"""
+
+from .fake_kyoto import FakeKyoto
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyoto/conf_kyoto.json b/qiskit_ibm_runtime/fake_provider/backends/kyoto/conf_kyoto.json
new file mode 100644
index 000000000..41cc56a9e
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyoto/conf_kyoto.json
@@ -0,0 +1 @@
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"rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,14)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,3}(U_{3}^{(3,2)}(t))\\sigma_{3}^{X} + \\Omega_{d,4}(U_{5}^{(4,5)}(t)+U_{4}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ & + \\Omega_{d,6}(U_{6}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{7}^{(7,6)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{8}^{(8,7)}(t)+U_{10}^{(8,16)}(t)+U_{9}^{(8,9)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{11}^{(9,10)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,11}(U_{12}^{(11,10)}(t)+U_{13}^{(11,12)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{14}^{(12,13)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,15}(U_{15}^{(15,4)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{16}^{(16,26)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{17}^{(17,12)}(t)+U_{18}^{(17,30)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{19}^{(18,14)}(t)+U_{20}^{(18,19)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,19}(U_{21}^{(19,20)}(t))\\sigma_{19}^{X} + \\Omega_{d,21}(U_{22}^{(21,20)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{25}^{(22,23)}(t)+U_{24}^{(22,21)}(t)+U_{23}^{(22,15)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{26}^{(23,24)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,25}(U_{28}^{(25,26)}(t)+U_{27}^{(25,24)}(t))\\sigma_{25}^{X} + \\Omega_{d,27}(U_{29}^{(27,26)}(t)+U_{30}^{(27,28)}(t))\\sigma_{27}^{X} \\\\ & + \\Omega_{d,28}(U_{31}^{(28,29)}(t)+U_{32}^{(28,35)}(t))\\sigma_{28}^{X} + \\Omega_{d,30}(U_{33}^{(30,29)}(t)+U_{34}^{(30,31)}(t))\\sigma_{30}^{X} \\\\ & + \\Omega_{d,31}(U_{35}^{(31,32)}(t))\\sigma_{31}^{X} + \\Omega_{d,32}(U_{36}^{(32,36)}(t))\\sigma_{32}^{X} \\\\ & + \\Omega_{d,33}(U_{37}^{(33,20)}(t)+U_{38}^{(33,39)}(t))\\sigma_{33}^{X} + \\Omega_{d,34}(U_{40}^{(34,43)}(t)+U_{39}^{(34,24)}(t))\\sigma_{34}^{X} \\\\ & + \\Omega_{d,37}(U_{41}^{(37,38)}(t))\\sigma_{37}^{X} + \\Omega_{d,38}(U_{42}^{(38,39)}(t))\\sigma_{38}^{X} \\\\ & + \\Omega_{d,39}(U_{43}^{(39,40)}(t))\\sigma_{39}^{X} + \\Omega_{d,40}(U_{44}^{(40,41)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,42}(U_{45}^{(42,41)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{46}^{(43,42)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{48}^{(44,45)}(t)+U_{47}^{(44,43)}(t))\\sigma_{44}^{X} + \\Omega_{d,46}(U_{49}^{(46,45)}(t))\\sigma_{46}^{X} \\\\ & + \\Omega_{d,47}(U_{50}^{(47,35)}(t)+U_{51}^{(47,46)}(t))\\sigma_{47}^{X} + \\Omega_{d,48}(U_{52}^{(48,47)}(t))\\sigma_{48}^{X} \\\\ & + \\Omega_{d,49}(U_{54}^{(49,55)}(t)+U_{53}^{(49,48)}(t))\\sigma_{49}^{X} + \\Omega_{d,50}(U_{56}^{(50,51)}(t)+U_{55}^{(50,49)}(t))\\sigma_{50}^{X} \\\\ & + \\Omega_{d,51}(U_{57}^{(51,36)}(t))\\sigma_{51}^{X} + \\Omega_{d,52}(U_{58}^{(52,37)}(t))\\sigma_{52}^{X} \\\\ & + \\Omega_{d,53}(U_{60}^{(53,60)}(t)+U_{59}^{(53,41)}(t))\\sigma_{53}^{X} + \\Omega_{d,54}(U_{62}^{(54,64)}(t)+U_{61}^{(54,45)}(t))\\sigma_{54}^{X} \\\\ & + \\Omega_{d,55}(U_{63}^{(55,68)}(t))\\sigma_{55}^{X} + \\Omega_{d,56}(U_{64}^{(56,52)}(t))\\sigma_{56}^{X} \\\\ & + \\Omega_{d,57}(U_{66}^{(57,58)}(t)+U_{65}^{(57,56)}(t))\\sigma_{57}^{X} + \\Omega_{d,59}(U_{68}^{(59,60)}(t)+U_{67}^{(59,58)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,61}(U_{69}^{(61,60)}(t))\\sigma_{61}^{X} + \\Omega_{d,62}(U_{71}^{(62,63)}(t)+U_{70}^{(62,61)}(t))\\sigma_{62}^{X} \\\\ & + \\Omega_{d,63}(U_{72}^{(63,64)}(t))\\sigma_{63}^{X} + \\Omega_{d,64}(U_{73}^{(64,65)}(t))\\sigma_{64}^{X} \\\\ & + \\Omega_{d,65}(U_{74}^{(65,66)}(t))\\sigma_{65}^{X} + \\Omega_{d,67}(U_{75}^{(67,66)}(t)+U_{76}^{(67,68)}(t))\\sigma_{67}^{X} \\\\ & + \\Omega_{d,68}(U_{77}^{(68,69)}(t))\\sigma_{68}^{X} + \\Omega_{d,70}(U_{78}^{(70,69)}(t))\\sigma_{70}^{X} \\\\ & + \\Omega_{d,71}(U_{79}^{(71,58)}(t))\\sigma_{71}^{X} + \\Omega_{d,72}(U_{80}^{(72,62)}(t))\\sigma_{72}^{X} \\\\ & + \\Omega_{d,73}(U_{82}^{(73,85)}(t)+U_{81}^{(73,66)}(t))\\sigma_{73}^{X} + \\Omega_{d,74}(U_{83}^{(74,70)}(t))\\sigma_{74}^{X} \\\\ & + \\Omega_{d,75}(U_{84}^{(75,90)}(t))\\sigma_{75}^{X} + \\Omega_{d,76}(U_{86}^{(76,77)}(t)+U_{85}^{(76,75)}(t))\\sigma_{76}^{X} \\\\ & + \\Omega_{d,77}(U_{88}^{(77,78)}(t)+U_{87}^{(77,71)}(t))\\sigma_{77}^{X} + \\Omega_{d,79}(U_{90}^{(79,91)}(t)+U_{89}^{(79,78)}(t))\\sigma_{79}^{X} \\\\ & + \\Omega_{d,80}(U_{91}^{(80,79)}(t))\\sigma_{80}^{X} + \\Omega_{d,81}(U_{93}^{(81,80)}(t)+U_{92}^{(81,72)}(t))\\sigma_{81}^{X} \\\\ & + \\Omega_{d,82}(U_{95}^{(82,83)}(t)+U_{94}^{(82,81)}(t))\\sigma_{82}^{X} + \\Omega_{d,83}(U_{96}^{(83,92)}(t))\\sigma_{83}^{X} \\\\ & + \\Omega_{d,84}(U_{97}^{(84,83)}(t)+U_{98}^{(84,85)}(t))\\sigma_{84}^{X} + \\Omega_{d,86}(U_{99}^{(86,85)}(t))\\sigma_{86}^{X} \\\\ & + \\Omega_{d,87}(U_{100}^{(87,86)}(t)+U_{101}^{(87,93)}(t))\\sigma_{87}^{X} + \\Omega_{d,88}(U_{102}^{(88,87)}(t))\\sigma_{88}^{X} \\\\ & + \\Omega_{d,89}(U_{104}^{(89,88)}(t)+U_{103}^{(89,74)}(t))\\sigma_{89}^{X} + \\Omega_{d,93}(U_{105}^{(93,106)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,94}(U_{107}^{(94,95)}(t)+U_{106}^{(94,90)}(t))\\sigma_{94}^{X} + \\Omega_{d,96}(U_{110}^{(96,109)}(t)+U_{109}^{(96,97)}(t)+U_{108}^{(96,95)}(t))\\sigma_{96}^{X} \\\\ & + \\Omega_{d,97}(U_{111}^{(97,98)}(t))\\sigma_{97}^{X} + \\Omega_{d,98}(U_{113}^{(98,99)}(t)+U_{112}^{(98,91)}(t))\\sigma_{98}^{X} \\\\ & + \\Omega_{d,99}(U_{114}^{(99,100)}(t))\\sigma_{99}^{X} + \\Omega_{d,101}(U_{116}^{(101,102)}(t)+U_{115}^{(101,100)}(t))\\sigma_{101}^{X} \\\\ & + \\Omega_{d,102}(U_{117}^{(102,92)}(t)+U_{118}^{(102,103)}(t))\\sigma_{102}^{X} + \\Omega_{d,104}(U_{120}^{(104,111)}(t)+U_{119}^{(104,103)}(t))\\sigma_{104}^{X} \\\\ & + \\Omega_{d,105}(U_{122}^{(105,106)}(t)+U_{121}^{(105,104)}(t))\\sigma_{105}^{X} + \\Omega_{d,106}(U_{123}^{(106,107)}(t))\\sigma_{106}^{X} \\\\ & + \\Omega_{d,107}(U_{124}^{(107,108)}(t))\\sigma_{107}^{X} + \\Omega_{d,109}(U_{125}^{(109,114)}(t))\\sigma_{109}^{X} \\\\ & + \\Omega_{d,110}(U_{126}^{(110,100)}(t))\\sigma_{110}^{X} + \\Omega_{d,112}(U_{127}^{(112,108)}(t))\\sigma_{112}^{X} \\\\ & + \\Omega_{d,113}(U_{128}^{(113,114)}(t))\\sigma_{113}^{X} + \\Omega_{d,115}(U_{129}^{(115,114)}(t))\\sigma_{115}^{X} \\\\ & + \\Omega_{d,116}(U_{130}^{(116,115)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{131}^{(117,116)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,118}(U_{132}^{(118,110)}(t)+U_{133}^{(118,117)}(t))\\sigma_{118}^{X} + \\Omega_{d,119}(U_{134}^{(119,118)}(t))\\sigma_{119}^{X} \\\\ & + \\Omega_{d,120}(U_{135}^{(120,119)}(t))\\sigma_{120}^{X} + \\Omega_{d,121}(U_{136}^{(121,120)}(t))\\sigma_{121}^{X} \\\\ & + \\Omega_{d,122}(U_{137}^{(122,111)}(t)+U_{138}^{(122,121)}(t)+U_{139}^{(122,123)}(t))\\sigma_{122}^{X} + \\Omega_{d,124}(U_{140}^{(124,123)}(t))\\sigma_{124}^{X} \\\\ & + \\Omega_{d,125}(U_{142}^{(125,126)}(t)+U_{141}^{(125,124)}(t))\\sigma_{125}^{X} + \\Omega_{d,126}(U_{143}^{(126,112)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", 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"jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad14*X0||U0", "omegad0*X1||U1", "omegad2*X1||U2", "omegad2*X3||U3", "omegad5*X4||U5", "omegad3*X4||U4", "omegad5*X6||U6", "omegad6*X7||U7", "omegad7*X8||U8", "omegad16*X8||U10", "omegad9*X8||U9", "omegad10*X9||U11", "omegad10*X11||U12", "omegad12*X11||U13", "omegad13*X12||U14", "omegad4*X15||U15", "omegad26*X16||U16", "omegad12*X17||U17", "omegad30*X17||U18", "omegad14*X18||U19", "omegad19*X18||U20", "omegad20*X19||U21", "omegad20*X21||U22", "omegad23*X22||U25", "omegad21*X22||U24", "omegad15*X22||U23", "omegad24*X23||U26", "omegad26*X25||U28", "omegad24*X25||U27", "omegad26*X27||U29", "omegad28*X27||U30", "omegad29*X28||U31", "omegad35*X28||U32", "omegad29*X30||U33", "omegad31*X30||U34", "omegad32*X31||U35", "omegad36*X32||U36", "omegad20*X33||U37", "omegad39*X33||U38", "omegad43*X34||U40", "omegad24*X34||U39", "omegad38*X37||U41", "omegad39*X38||U42", "omegad40*X39||U43", "omegad41*X40||U44", "omegad41*X42||U45", "omegad42*X43||U46", "omegad45*X44||U48", "omegad43*X44||U47", "omegad45*X46||U49", "omegad35*X47||U50", "omegad46*X47||U51", "omegad47*X48||U52", "omegad55*X49||U54", "omegad48*X49||U53", "omegad51*X50||U56", "omegad49*X50||U55", "omegad36*X51||U57", "omegad37*X52||U58", "omegad60*X53||U60", "omegad41*X53||U59", "omegad64*X54||U62", "omegad45*X54||U61", "omegad68*X55||U63", "omegad52*X56||U64", "omegad58*X57||U66", "omegad56*X57||U65", "omegad60*X59||U68", "omegad58*X59||U67", "omegad60*X61||U69", "omegad63*X62||U71", "omegad61*X62||U70", "omegad64*X63||U72", "omegad65*X64||U73", "omegad66*X65||U74", "omegad66*X67||U75", "omegad68*X67||U76", "omegad69*X68||U77", "omegad69*X70||U78", "omegad58*X71||U79", "omegad62*X72||U80", "omegad85*X73||U82", "omegad66*X73||U81", "omegad70*X74||U83", "omegad90*X75||U84", "omegad77*X76||U86", "omegad75*X76||U85", "omegad78*X77||U88", "omegad71*X77||U87", "omegad91*X79||U90", "omegad78*X79||U89", "omegad79*X80||U91", "omegad80*X81||U93", "omegad72*X81||U92", "omegad83*X82||U95", "omegad81*X82||U94", "omegad92*X83||U96", "omegad83*X84||U97", "omegad85*X84||U98", "omegad85*X86||U99", "omegad86*X87||U100", "omegad93*X87||U101", "omegad87*X88||U102", "omegad88*X89||U104", "omegad74*X89||U103", "omegad106*X93||U105", "omegad95*X94||U107", "omegad90*X94||U106", "omegad109*X96||U110", "omegad97*X96||U109", "omegad95*X96||U108", "omegad98*X97||U111", "omegad99*X98||U113", "omegad91*X98||U112", "omegad100*X99||U114", "omegad102*X101||U116", "omegad100*X101||U115", "omegad92*X102||U117", "omegad103*X102||U118", "omegad111*X104||U120", "omegad103*X104||U119", "omegad106*X105||U122", "omegad104*X105||U121", "omegad107*X106||U123", "omegad108*X107||U124", "omegad114*X109||U125", "omegad100*X110||U126", "omegad108*X112||U127", "omegad114*X113||U128", "omegad114*X115||U129", "omegad115*X116||U130", "omegad116*X117||U131", "omegad110*X118||U132", "omegad117*X118||U133", "omegad118*X119||U134", "omegad119*X120||U135", "omegad120*X121||U136", "omegad111*X122||U137", "omegad121*X122||U138", "omegad123*X122||U139", "omegad123*X124||U140", "omegad126*X125||U142", "omegad124*X125||U141", "omegad112*X126||U143"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3, "27": 3, "28": 3, "29": 3, "30": 3, "31": 3, "32": 3, "33": 3, "34": 3, "35": 3, "36": 3, "37": 3, "38": 3, "39": 3, "40": 3, "41": 3, "42": 3, "43": 3, "44": 3, "45": 3, "46": 3, "47": 3, "48": 3, "49": 3, "50": 3, "51": 3, "52": 3, "53": 3, "54": 3, "55": 3, "56": 3, "57": 3, "58": 3, "59": 3, "60": 3, "61": 3, "62": 3, "63": 3, "64": 3, "65": 3, "66": 3, "67": 3, "68": 3, "69": 3, "70": 3, "71": 3, "72": 3, "73": 3, "74": 3, "75": 3, "76": 3, "77": 3, "78": 3, "79": 3, "80": 3, "81": 3, "82": 3, "83": 3, "84": 3, "85": 3, "86": 3, "87": 3, "88": 3, "89": 3, "90": 3, "91": 3, "92": 3, "93": 3, "94": 3, "95": 3, "96": 3, "97": 3, "98": 3, "99": 3, "100": 3, "101": 3, "102": 3, "103": 3, 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyoto/defs_kyoto.json b/qiskit_ibm_runtime/fake_provider/backends/kyoto/defs_kyoto.json
new file mode 100644
index 000000000..e5dcd61b9
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyoto/defs_kyoto.json
@@ -0,0 +1 @@
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"drag", "parameters": {"amp": [0.19603202179459195, 0.0], "beta": -0.6416973803307243, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [125], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d125", "label": "Xp_d125", "pulse_shape": "drag", "parameters": {"amp": [0.20499658620033742, 0.0], "beta": -1.0892040800086116, "duration": 120, "sigma": 30}}]}, {"name": "x", "qubits": [126], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d126", "label": "Xp_d126", "pulse_shape": "drag", "parameters": {"amp": [0.20675153979055466, 0.0], "beta": -0.9060644167140054, "duration": 120, "sigma": 30}}]}], "meas_kernel": {"name": "hw_qmfk", "params": {}}, "discriminator": {"name": "hw_qmfk", "params": {}}, "_data": {}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyoto/fake_kyoto.py b/qiskit_ibm_runtime/fake_provider/backends/kyoto/fake_kyoto.py
new file mode 100644
index 000000000..184bf13f3
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyoto/fake_kyoto.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Kyoto device (127 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeKyoto(fake_backend.FakeBackendV2):
+    """A fake 127 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_kyoto.json"  # type: ignore
+    props_filename = "props_kyoto.json"  # type: ignore
+    defs_filename = "defs_kyoto.json"  # type: ignore
+    backend_name = "fake_kyoto"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/kyoto/props_kyoto.json b/qiskit_ibm_runtime/fake_provider/backends/kyoto/props_kyoto.json
new file mode 100644
index 000000000..730de3626
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/kyoto/props_kyoto.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_kyoto", "backend_version": "1.2.29", "last_update_date": "2024-02-28T06:38:20-05:00", "qubits": [[{"date": "2024-02-28T04:35:31-05:00", "name": "T1", "unit": "us", "value": 122.88385453004375}, {"date": "2024-02-28T04:50:46-05:00", "name": "T2", "unit": "us", "value": 24.42187737169765}, {"date": "2024-02-28T06:38:20-05:00", "name": "frequency", "unit": "GHz", "value": 4.908674148226789}, {"date": "2024-02-28T06:38:20-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.30802879619250306}, {"date": "2024-02-28T04:22:04-05:00", "name": "readout_error", "unit": "", "value": 0.1612}, {"date": "2024-02-28T04:22:04-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.1628}, {"date": "2024-02-28T04:22:04-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.15959999999999996}, {"date": "2024-02-28T04:22:04-05:00", "name": "readout_length", "unit": "ns", "value": 1400}], [{"date": "2024-02-28T04:35:31-05:00", "name": "T1", "unit": "us", "value": 130.60527705671456}, {"date": "2024-02-28T04:55:49-05:00", "name": "T2", "unit": "us", "value": 71.60958790024888}, {"date": "2024-02-28T06:38:20-05:00", "name": "frequency", "unit": "GHz", "value": 4.85572824315697}, {"date": "2024-02-28T06:38:20-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T04:22:04-05:00", "name": "readout_error", "unit": "", "value": 0.08050000000000002}, {"date": "2024-02-28T04:22:04-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.056400000000000006}, {"date": "2024-02-28T04:22:04-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.1046}, {"date": "2024-02-28T04:22:04-05:00", "name": "readout_length", "unit": "ns", "value": 1400}], [{"date": "2024-02-28T04:35:31-05:00", "name": "T1", "unit": "us", "value": 220.76405659212162}, {"date": "2024-02-28T04:50:46-05:00", "name": "T2", "unit": "us", "value": 49.02470027664536}, {"date": "2024-02-28T06:38:20-05:00", "name": "frequency", "unit": "GHz", "value": 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"2023-11-20T00:00:00-05:00", "name": "lf_100", "unit": "", "value": 0.02701590644233078}], "general_qlists": [{"name": "lf_100", "qubits": [67, 68, 69, 70, 74, 89, 88, 87, 86, 85, 84, 83, 92, 102, 103, 104, 105, 106, 107, 108, 112, 126, 125, 124, 123, 122, 121, 120, 119, 118, 110, 100, 99, 98, 97, 96, 95, 94, 90, 75, 76, 77, 78, 79, 80, 81, 72, 62, 63, 64, 54, 45, 44, 43, 42, 41, 53, 60, 59, 58, 57, 56, 52, 37, 38, 39, 33, 20, 19, 18, 14, 0, 1, 2, 3, 4, 15, 22, 23, 24, 25, 26, 27, 28, 35, 47, 48, 49, 50, 51, 36, 32, 31, 30, 17, 12, 11, 10, 9, 8]}]}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/osaka/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/osaka/__init__.py
new file mode 100644
index 000000000..0b3a8ac07
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/osaka/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Osaka backend (127 qubit).
+"""
+
+from .fake_osaka import FakeOsaka
diff --git a/qiskit_ibm_runtime/fake_provider/backends/osaka/conf_osaka.json b/qiskit_ibm_runtime/fake_provider/backends/osaka/conf_osaka.json
new file mode 100644
index 000000000..6addb8654
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/osaka/conf_osaka.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_osaka", "backend_version": "1.0.16", "n_qubits": 127, "basis_gates": ["ecr", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126]]}, {"name": "ecr", "parameters": [], "qasm_def": "gate ecr q0, q1 { U(pi, pi/2, 7*pi/2) q0; U(pi, 7*pi/2, pi/2) q1; CX q0, q1; U(0, 0, 7*pi/2) q0; U(pi/2, 7*pi/2, pi/2) q1; }", "coupling_map": [[1, 0], [2, 1], [2, 3], [3, 4], [5, 4], [6, 5], [6, 7], [7, 8], [8, 16], [9, 8], [9, 10], [11, 10], [12, 11], [13, 12], [14, 0], [14, 18], 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[6.411510653000001, 7.411510653000001], [6.396178743, 7.396178743], [6.794922215000001, 7.794922215000001], [6.862561053, 7.862561053], [6.2823368120000005, 7.2823368120000005], [6.348478121, 7.348478121], [6.411055200000001, 7.411055200000001], [6.865279115000001, 7.865279115000001], [6.35072041, 7.35072041], [6.738685599, 7.738685599], [6.675001946, 7.675001946], [6.463534312, 7.463534312], [6.730239709, 7.730239709], [6.339244642000001, 7.339244642000001], [6.662248514000001, 7.662248514000001], [6.786480194, 7.786480194], [6.277657444000001, 7.277657444000001], [6.467394863, 7.467394863000001], [6.467306733, 7.467306733], [6.607479583000001, 7.607479583000001], [6.346598053, 7.346598053], [6.402179427, 7.402179427], [6.737950111000001, 7.737950111000001], [6.459825497000001, 7.459825497000001], [6.613683782000001, 7.613683782000001], [6.740537487, 7.740537487], [6.674760152, 7.674760152], [6.612863459000001, 7.612863459000001], [6.861300295, 7.861300295], [6.284612650000001, 7.284612650000001], [6.7996864210000005, 7.7996864210000005], [6.859356932000001, 7.859356932000001], [6.461223827, 7.461223827], [6.734272649, 7.734272649], [6.664494294000001, 7.664494294000001], [6.402849649, 7.402849649], [6.340275063, 7.340275063000001], [6.28102186, 7.28102186], [6.347016581, 7.347016581], [6.792597634000001, 7.792597634000001], [6.611494293000001, 7.611494293000001], [6.286441435, 7.286441435], [6.851248891, 7.851248891000001], [6.464584483, 7.464584483], [6.341918328, 7.341918328], [6.790412701, 7.790412701], [6.456572802, 7.456572802], [6.607362747000001, 7.607362747000001], [6.729912322000001, 7.729912322000001], [6.409744633000001, 7.409744633000001], [6.607049917, 7.607049917], [6.8579695460000005, 7.8579695460000005], [6.282426844000001, 7.282426844000001], [6.347634458000001, 7.347634458000001], [6.401653876, 7.401653876], [6.668311592, 7.668311592], [6.406997720000001, 7.406997720000001], [6.672777692, 7.672777692], [6.662717639, 7.662717639], [6.396845015, 7.396845015], [6.735737192, 7.735737192], [6.790593907000001, 7.790593907000001], [6.457292269000001, 7.457292269000001], [6.603415753, 7.603415753], [6.732408606000001, 7.732408606000001], [6.66517696, 7.66517696], [6.790532433, 7.790532433], [6.859504145000001, 7.859504145000001], [6.282473855, 7.282473855], [6.796619206000001, 7.796619206000001], [6.407685292, 7.407685292], [6.461718402000001, 7.461718402000001], [6.736777255000001, 7.736777255000001], [6.7883126240000005, 7.7883126240000005], [6.281912037000001, 7.281912037000001], [6.853857417, 7.853857417], [6.463692789, 7.463692789], [6.607696629, 7.607696629], [6.664990765000001, 7.664990765000001], [6.791534926000001, 7.791534926000001], [6.455866835, 7.455866835], [6.603411566, 7.603411566], [6.459296456000001, 7.459296456000001], [6.276057336, 7.276057336], [6.406521397000001, 7.406521397000001], [6.661612715, 7.661612715], [6.606980868000001, 7.606980868000001], [6.3443702250000005, 7.3443702250000005], [6.674913812000001, 7.674913812000001], [6.790376346, 7.790376346], [6.856621584, 7.856621584000001], [6.280133761, 7.280133761], [6.406136152, 7.406136152], [6.342740367, 7.342740367], [6.341478311, 7.341478311], [6.731002188000001, 7.731002188000001], [6.347084774000001, 7.347084774000001], [6.85189701, 7.85189701], [6.278127492, 7.278127492], [6.459106716, 7.459106716000001], [6.336550450000001, 7.336550450000001], [6.276211172, 7.276211172000001], [6.727112347, 7.727112347], [6.793339574, 7.793339574000001], [6.401047504, 7.401047504], [6.853518286000001, 7.853518286000001], [6.279831157, 7.279831157], [6.459415493000001, 7.459415493000001], [6.338218262000001, 7.338218262000001], [6.407122395, 7.407122395], [6.457577265, 7.457577265]], "meas_kernels": ["hw_qmfk"], "discriminators": ["hw_qmfk", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) \\\\ & + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) \\\\ & + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,1}(U_{0}^{(1,0)}(t))\\sigma_{1}^{X} + \\Omega_{d,2}(U_{2}^{(2,3)}(t)+U_{1}^{(2,1)}(t))\\sigma_{2}^{X} \\\\ & + \\Omega_{d,3}(U_{3}^{(3,4)}(t))\\sigma_{3}^{X} + \\Omega_{d,5}(U_{4}^{(5,4)}(t))\\sigma_{5}^{X} \\\\ & + \\Omega_{d,6}(U_{6}^{(6,7)}(t)+U_{5}^{(6,5)}(t))\\sigma_{6}^{X} + \\Omega_{d,7}(U_{7}^{(7,8)}(t))\\sigma_{7}^{X} \\\\ & + \\Omega_{d,8}(U_{8}^{(8,16)}(t))\\sigma_{8}^{X} + \\Omega_{d,9}(U_{10}^{(9,10)}(t)+U_{9}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,11}(U_{11}^{(11,10)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{12}^{(12,11)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,13}(U_{13}^{(13,12)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{15}^{(14,18)}(t)+U_{14}^{(14,0)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,15}(U_{16}^{(15,4)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{17}^{(16,26)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,17}(U_{19}^{(17,30)}(t)+U_{18}^{(17,12)}(t))\\sigma_{17}^{X} + \\Omega_{d,18}(U_{20}^{(18,19)}(t))\\sigma_{18}^{X} \\\\ & + \\Omega_{d,20}(U_{21}^{(20,19)}(t))\\sigma_{20}^{X} + \\Omega_{d,21}(U_{23}^{(21,22)}(t)+U_{22}^{(21,20)}(t))\\sigma_{21}^{X} \\\\ & + \\Omega_{d,22}(U_{24}^{(22,15)}(t))\\sigma_{22}^{X} + \\Omega_{d,23}(U_{25}^{(23,22)}(t))\\sigma_{23}^{X} \\\\ & + \\Omega_{d,24}(U_{27}^{(24,25)}(t)+U_{26}^{(24,23)}(t)+U_{28}^{(24,34)}(t))\\sigma_{24}^{X} + \\Omega_{d,25}(U_{29}^{(25,26)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,27}(U_{31}^{(27,28)}(t)+U_{30}^{(27,26)}(t))\\sigma_{27}^{X} + \\Omega_{d,28}(U_{33}^{(28,35)}(t)+U_{32}^{(28,29)}(t))\\sigma_{28}^{X} \\\\ & + \\Omega_{d,30}(U_{34}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{35}^{(31,30)}(t)+U_{36}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,33}(U_{37}^{(33,20)}(t))\\sigma_{33}^{X} + \\Omega_{d,35}(U_{38}^{(35,47)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{39}^{(36,32)}(t))\\sigma_{36}^{X} + \\Omega_{d,37}(U_{41}^{(37,52)}(t)+U_{40}^{(37,38)}(t))\\sigma_{37}^{X} \\\\ & + \\Omega_{d,39}(U_{42}^{(39,33)}(t)+U_{43}^{(39,38)}(t))\\sigma_{39}^{X} + \\Omega_{d,40}(U_{45}^{(40,41)}(t)+U_{44}^{(40,39)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,42}(U_{46}^{(42,41)}(t)+U_{47}^{(42,43)}(t))\\sigma_{42}^{X} + \\Omega_{d,43}(U_{48}^{(43,34)}(t)+U_{49}^{(43,44)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,45}(U_{50}^{(45,44)}(t)+U_{52}^{(45,54)}(t)+U_{51}^{(45,46)}(t))\\sigma_{45}^{X} + \\Omega_{d,46}(U_{53}^{(46,47)}(t))\\sigma_{46}^{X} \\\\ & + \\Omega_{d,48}(U_{54}^{(48,47)}(t)+U_{55}^{(48,49)}(t))\\sigma_{48}^{X} + \\Omega_{d,49}(U_{56}^{(49,50)}(t))\\sigma_{49}^{X} \\\\ & + \\Omega_{d,50}(U_{57}^{(50,51)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{58}^{(51,36)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{59}^{(52,56)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{60}^{(53,41)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,55}(U_{61}^{(55,49)}(t))\\sigma_{55}^{X} + \\Omega_{d,57}(U_{63}^{(57,58)}(t)+U_{62}^{(57,56)}(t))\\sigma_{57}^{X} \\\\ & + \\Omega_{d,58}(U_{64}^{(58,71)}(t))\\sigma_{58}^{X} + \\Omega_{d,59}(U_{65}^{(59,58)}(t)+U_{66}^{(59,60)}(t))\\sigma_{59}^{X} \\\\ & + \\Omega_{d,60}(U_{67}^{(60,53)}(t))\\sigma_{60}^{X} + \\Omega_{d,61}(U_{69}^{(61,62)}(t)+U_{68}^{(61,60)}(t))\\sigma_{61}^{X} \\\\ & + \\Omega_{d,62}(U_{70}^{(62,72)}(t))\\sigma_{62}^{X} + \\Omega_{d,63}(U_{71}^{(63,62)}(t))\\sigma_{63}^{X} \\\\ & + \\Omega_{d,64}(U_{72}^{(64,54)}(t)+U_{73}^{(64,63)}(t))\\sigma_{64}^{X} + \\Omega_{d,65}(U_{74}^{(65,64)}(t))\\sigma_{65}^{X} \\\\ & + \\Omega_{d,66}(U_{75}^{(66,65)}(t)+U_{76}^{(66,73)}(t))\\sigma_{66}^{X} + \\Omega_{d,67}(U_{77}^{(67,66)}(t))\\sigma_{67}^{X} \\\\ & + \\Omega_{d,68}(U_{78}^{(68,55)}(t)+U_{80}^{(68,69)}(t)+U_{79}^{(68,67)}(t))\\sigma_{68}^{X} + \\Omega_{d,69}(U_{81}^{(69,70)}(t))\\sigma_{69}^{X} \\\\ & + \\Omega_{d,71}(U_{82}^{(71,77)}(t))\\sigma_{71}^{X} + \\Omega_{d,74}(U_{83}^{(74,70)}(t))\\sigma_{74}^{X} \\\\ & + \\Omega_{d,75}(U_{84}^{(75,76)}(t))\\sigma_{75}^{X} + \\Omega_{d,76}(U_{85}^{(76,77)}(t))\\sigma_{76}^{X} \\\\ & + \\Omega_{d,78}(U_{86}^{(78,77)}(t)+U_{87}^{(78,79)}(t))\\sigma_{78}^{X} + \\Omega_{d,79}(U_{88}^{(79,80)}(t))\\sigma_{79}^{X} \\\\ & + \\Omega_{d,81}(U_{90}^{(81,80)}(t)+U_{89}^{(81,72)}(t)+U_{91}^{(81,82)}(t))\\sigma_{81}^{X} + \\Omega_{d,83}(U_{92}^{(83,82)}(t))\\sigma_{83}^{X} \\\\ & + \\Omega_{d,84}(U_{93}^{(84,83)}(t))\\sigma_{84}^{X} + \\Omega_{d,85}(U_{94}^{(85,73)}(t)+U_{95}^{(85,84)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{96}^{(86,85)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{99}^{(87,93)}(t)+U_{98}^{(87,88)}(t)+U_{97}^{(87,86)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,88}(U_{100}^{(88,89)}(t))\\sigma_{88}^{X} + \\Omega_{d,89}(U_{101}^{(89,74)}(t))\\sigma_{89}^{X} \\\\ & + \\Omega_{d,90}(U_{103}^{(90,94)}(t)+U_{102}^{(90,75)}(t))\\sigma_{90}^{X} + \\Omega_{d,91}(U_{104}^{(91,79)}(t))\\sigma_{91}^{X} \\\\ & + \\Omega_{d,92}(U_{105}^{(92,83)}(t)+U_{106}^{(92,102)}(t))\\sigma_{92}^{X} + \\Omega_{d,93}(U_{107}^{(93,106)}(t))\\sigma_{93}^{X} \\\\ & + \\Omega_{d,94}(U_{108}^{(94,95)}(t))\\sigma_{94}^{X} + \\Omega_{d,96}(U_{111}^{(96,109)}(t)+U_{110}^{(96,97)}(t)+U_{109}^{(96,95)}(t))\\sigma_{96}^{X} \\\\ & + \\Omega_{d,97}(U_{112}^{(97,98)}(t))\\sigma_{97}^{X} + \\Omega_{d,98}(U_{113}^{(98,91)}(t))\\sigma_{98}^{X} \\\\ & + \\Omega_{d,99}(U_{114}^{(99,98)}(t))\\sigma_{99}^{X} + \\Omega_{d,100}(U_{116}^{(100,110)}(t)+U_{115}^{(100,99)}(t))\\sigma_{100}^{X} \\\\ & + \\Omega_{d,101}(U_{118}^{(101,102)}(t)+U_{117}^{(101,100)}(t))\\sigma_{101}^{X} + \\Omega_{d,103}(U_{120}^{(103,104)}(t)+U_{119}^{(103,102)}(t))\\sigma_{103}^{X} \\\\ & + \\Omega_{d,104}(U_{121}^{(104,105)}(t)+U_{122}^{(104,111)}(t))\\sigma_{104}^{X} + \\Omega_{d,105}(U_{123}^{(105,106)}(t))\\sigma_{105}^{X} \\\\ & + \\Omega_{d,106}(U_{124}^{(106,107)}(t))\\sigma_{106}^{X} + \\Omega_{d,108}(U_{126}^{(108,112)}(t)+U_{125}^{(108,107)}(t))\\sigma_{108}^{X} \\\\ & + \\Omega_{d,109}(U_{127}^{(109,114)}(t))\\sigma_{109}^{X} + \\Omega_{d,110}(U_{128}^{(110,118)}(t))\\sigma_{110}^{X} \\\\ & + \\Omega_{d,114}(U_{130}^{(114,115)}(t)+U_{129}^{(114,113)}(t))\\sigma_{114}^{X} + \\Omega_{d,115}(U_{131}^{(115,116)}(t))\\sigma_{115}^{X} \\\\ & + \\Omega_{d,116}(U_{132}^{(116,117)}(t))\\sigma_{116}^{X} + \\Omega_{d,117}(U_{133}^{(117,118)}(t))\\sigma_{117}^{X} \\\\ & + \\Omega_{d,119}(U_{134}^{(119,118)}(t))\\sigma_{119}^{X} + \\Omega_{d,120}(U_{136}^{(120,121)}(t)+U_{135}^{(120,119)}(t))\\sigma_{120}^{X} \\\\ & + \\Omega_{d,121}(U_{137}^{(121,122)}(t))\\sigma_{121}^{X} + \\Omega_{d,122}(U_{138}^{(122,111)}(t))\\sigma_{122}^{X} \\\\ & + \\Omega_{d,123}(U_{140}^{(123,124)}(t)+U_{139}^{(123,122)}(t))\\sigma_{123}^{X} + \\Omega_{d,125}(U_{142}^{(125,126)}(t)+U_{141}^{(125,124)}(t))\\sigma_{125}^{X} \\\\ & + \\Omega_{d,126}(U_{143}^{(126,112)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq79q80*Sp79*Sm80", "jq79q80*Sm79*Sp80", "jq56q57*Sp56*Sm57", "jq56q57*Sm56*Sp57", "jq93q106*Sp93*Sm106", "jq93q106*Sm93*Sp106", "jq116q117*Sp116*Sm117", "jq116q117*Sm116*Sp117", "jq20q21*Sp20*Sm21", "jq20q21*Sm20*Sp21", "jq12q17*Sp12*Sm17", "jq12q17*Sm12*Sp17", "jq41q53*Sp41*Sm53", "jq41q53*Sm41*Sp53", "jq57q58*Sp57*Sm58", "jq57q58*Sm57*Sp58", "jq87q93*Sp87*Sm93", "jq87q93*Sm87*Sp93", "jq30q31*Sp30*Sm31", "jq30q31*Sm30*Sp31", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "jq79q91*Sp79*Sm91", "jq79q91*Sm79*Sp91", "jq26q27*Sp26*Sm27", "jq26q27*Sm26*Sp27", "jq21q22*Sp21*Sm22", "jq21q22*Sm21*Sp22", "jq58q71*Sp58*Sm71", "jq58q71*Sm58*Sp71", "jq31q32*Sp31*Sm32", "jq31q32*Sm31*Sp32", "jq4q15*Sp4*Sm15", "jq4q15*Sm4*Sp15", "jq86q87*Sp86*Sm87", "jq86q87*Sm86*Sp87", "jq113q114*Sp113*Sm114", "jq113q114*Sm113*Sp114", "jq104q111*Sp104*Sm111", "jq104q111*Sm104*Sp111", "jq123q124*Sp123*Sm124", "jq123q124*Sm123*Sp124", "jq27q28*Sp27*Sm28", "jq27q28*Sm27*Sp28", "jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad0*X1||U0", "omegad3*X2||U2", "omegad1*X2||U1", "omegad4*X3||U3", "omegad4*X5||U4", "omegad7*X6||U6", "omegad5*X6||U5", "omegad8*X7||U7", "omegad16*X8||U8", "omegad10*X9||U10", "omegad8*X9||U9", "omegad10*X11||U11", "omegad11*X12||U12", "omegad12*X13||U13", "omegad18*X14||U15", "omegad0*X14||U14", "omegad4*X15||U16", "omegad26*X16||U17", "omegad30*X17||U19", "omegad12*X17||U18", "omegad19*X18||U20", "omegad19*X20||U21", "omegad22*X21||U23", "omegad20*X21||U22", "omegad15*X22||U24", "omegad22*X23||U25", "omegad25*X24||U27", "omegad23*X24||U26", "omegad34*X24||U28", "omegad26*X25||U29", "omegad28*X27||U31", "omegad26*X27||U30", "omegad35*X28||U33", "omegad29*X28||U32", "omegad29*X30||U34", "omegad30*X31||U35", "omegad32*X31||U36", "omegad20*X33||U37", "omegad47*X35||U38", "omegad32*X36||U39", "omegad52*X37||U41", "omegad38*X37||U40", "omegad33*X39||U42", "omegad38*X39||U43", "omegad41*X40||U45", "omegad39*X40||U44", "omegad41*X42||U46", "omegad43*X42||U47", "omegad34*X43||U48", "omegad44*X43||U49", "omegad44*X45||U50", "omegad54*X45||U52", 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"purpose": "cross-resonance", "type": "control"}, "u103": {"operates": {"qubits": [90, 94]}, "purpose": "cross-resonance", "type": "control"}, "u104": {"operates": {"qubits": [91, 79]}, "purpose": "cross-resonance", "type": "control"}, "u105": {"operates": {"qubits": [92, 83]}, "purpose": "cross-resonance", "type": "control"}, "u106": {"operates": {"qubits": [92, 102]}, "purpose": "cross-resonance", "type": "control"}, "u107": {"operates": {"qubits": [93, 106]}, "purpose": "cross-resonance", "type": "control"}, "u108": {"operates": {"qubits": [94, 95]}, "purpose": "cross-resonance", "type": "control"}, "u109": {"operates": {"qubits": [96, 95]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [11, 10]}, "purpose": "cross-resonance", "type": "control"}, "u110": {"operates": {"qubits": [96, 97]}, "purpose": "cross-resonance", "type": "control"}, "u111": {"operates": {"qubits": [96, 109]}, "purpose": "cross-resonance", "type": "control"}, "u112": {"operates": {"qubits": [97, 98]}, "purpose": "cross-resonance", "type": "control"}, "u113": {"operates": {"qubits": [98, 91]}, "purpose": "cross-resonance", "type": "control"}, "u114": {"operates": {"qubits": [99, 98]}, "purpose": "cross-resonance", "type": "control"}, "u115": {"operates": {"qubits": [100, 99]}, "purpose": "cross-resonance", "type": "control"}, "u116": {"operates": {"qubits": [100, 110]}, "purpose": "cross-resonance", "type": "control"}, "u117": {"operates": {"qubits": [101, 100]}, "purpose": "cross-resonance", "type": "control"}, "u118": {"operates": {"qubits": [101, 102]}, "purpose": "cross-resonance", "type": "control"}, "u119": {"operates": {"qubits": [103, 102]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [12, 11]}, "purpose": "cross-resonance", "type": "control"}, "u120": {"operates": {"qubits": [103, 104]}, "purpose": "cross-resonance", "type": "control"}, "u121": {"operates": {"qubits": [104, 105]}, "purpose": "cross-resonance", "type": "control"}, "u122": {"operates": {"qubits": [104, 111]}, "purpose": "cross-resonance", "type": "control"}, "u123": {"operates": {"qubits": [105, 106]}, "purpose": "cross-resonance", "type": "control"}, "u124": {"operates": {"qubits": [106, 107]}, "purpose": "cross-resonance", "type": "control"}, "u125": {"operates": {"qubits": [108, 107]}, "purpose": "cross-resonance", "type": "control"}, "u126": {"operates": {"qubits": [108, 112]}, "purpose": "cross-resonance", "type": "control"}, "u127": {"operates": {"qubits": [109, 114]}, "purpose": "cross-resonance", "type": "control"}, "u128": {"operates": {"qubits": [110, 118]}, "purpose": "cross-resonance", "type": "control"}, "u129": {"operates": {"qubits": [114, 113]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u130": {"operates": {"qubits": [114, 115]}, "purpose": "cross-resonance", "type": "control"}, "u131": {"operates": {"qubits": [115, 116]}, "purpose": "cross-resonance", "type": "control"}, "u132": {"operates": {"qubits": [116, 117]}, "purpose": "cross-resonance", "type": "control"}, "u133": {"operates": {"qubits": [117, 118]}, "purpose": "cross-resonance", "type": "control"}, "u134": {"operates": {"qubits": [119, 118]}, "purpose": "cross-resonance", "type": "control"}, "u135": {"operates": {"qubits": [120, 119]}, "purpose": "cross-resonance", "type": "control"}, "u136": {"operates": {"qubits": [120, 121]}, "purpose": "cross-resonance", "type": "control"}, "u137": {"operates": {"qubits": [121, 122]}, "purpose": "cross-resonance", "type": "control"}, "u138": {"operates": {"qubits": [122, 111]}, "purpose": "cross-resonance", "type": "control"}, "u139": {"operates": {"qubits": [123, 122]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [14, 0]}, "purpose": "cross-resonance", "type": "control"}, "u140": {"operates": {"qubits": [123, 124]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [125, 124]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [125, 126]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [126, 112]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [14, 18]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [15, 4]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [16, 26]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [17, 12]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [17, 30]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [2, 3]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [18, 19]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [20, 19]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [22, 15]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [24, 25]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [24, 34]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [25, 26]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [27, 26]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [27, 28]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [28, 29]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [28, 35]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [31, 30]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [33, 20]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [35, 47]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [36, 32]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [37, 38]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [37, 52]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [39, 33]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [39, 38]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [40, 39]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [40, 41]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [42, 41]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [42, 43]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [43, 34]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [6, 5]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [45, 44]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [45, 46]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [45, 54]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [46, 47]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [48, 47]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [48, 49]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [49, 50]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [50, 51]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [51, 36]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [52, 56]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [53, 41]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [55, 49]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [57, 56]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [57, 58]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [58, 71]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [59, 58]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [60, 53]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [61, 60]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [61, 62]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [62, 72]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [63, 62]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [64, 54]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [65, 64]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [66, 65]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [66, 73]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [67, 66]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [68, 55]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [68, 67]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [8, 16]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [68, 69]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [69, 70]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [71, 77]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [74, 70]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [75, 76]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [76, 77]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [78, 77]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [78, 79]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [79, 80]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [81, 72]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [81, 80]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [81, 82]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [83, 82]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [84, 83]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [85, 73]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [86, 85]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [87, 86]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [87, 88]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [87, 93]}, "purpose": "cross-resonance", "type": "control"}}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/osaka/defs_osaka.json b/qiskit_ibm_runtime/fake_provider/backends/osaka/defs_osaka.json
new file mode 100644
index 000000000..9d43b32b5
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/osaka/defs_osaka.json
@@ -0,0 +1 @@
+{"qubit_freq_est": [4.822505531556077, 4.77269933020027, 4.718304847755324, 4.800165520107149, 4.832877419640322, 4.660698913367386, 4.906913755890756, 4.719599488544171, 4.636401935993497, 4.7167522532965185, 4.669413773096166, 4.72530031801556, 4.682912989540853, 4.729966161971371, 4.740317372525875, 4.669105032222015, 4.686444261810046, 4.88047249189221, 4.652664026775679, 4.8788557126472325, 4.650877727576921, 4.568027700001234, 4.768022918871573, 4.826045055009579, 5.019754830393558, 4.841821643337012, 4.763701988952707, 4.886549284208376, 4.701215985147826, 4.7442920372193145, 4.922260279657779, 4.83977647285816, 4.665078360047029, 4.82176655722885, 4.804678553008709, 4.865280482000631, 4.73034868163624, 4.936339916937617, 4.812922008424482, 4.699728856992379, 4.892212768816992, 4.993947742593536, 4.789284685473228, 4.930805740090555, 4.826612513525468, 4.924033891869578, 4.8533288542951665, 4.797718037467631, 4.8737484426126905, 4.842889665720669, 5.00376734032393, 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4.947658657002853, 4.823272421928823, 4.9236823001829695, 4.833835391366063, 4.737134257718751, 4.848570753278172, 4.816284675959488, 4.932514704621394, 4.780997302610988, 4.758006031707264, 4.878153703408873, 4.956597346400461, 4.861203133178772, 4.925880489866396, 4.826797865827526, 4.8974897744535575, 4.684270982648089, 4.871165292180539, 5.0693906996438285, 4.8804620328048856, 5.058559194160611, 4.846348605454618, 5.042881983065722, 4.9933325837800115], "meas_freq_est": [7.175636988000001, 7.116707744, 7.244164864, 7.178859578000001, 7.1154420510000005, 7.240112632000001, 6.7890596720000005, 7.178586321, 7.298122677, 7.360605155000001, 7.23109058, 6.779966663000001, 7.285782, 7.167445527000001, 7.111654812, 7.29510836, 6.911510653000001, 6.896178743, 7.294922215000001, 7.362561053, 6.7823368120000005, 6.848478121, 6.911055200000001, 7.365279115000001, 6.85072041, 7.238685599, 7.175001946, 6.963534312, 7.230239709, 6.839244642000001, 7.162248514000001, 7.286480194, 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125, 126]}]}, {"name": "measure", "qubits": [100], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m100", "label": "M_m100", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.2548981764840548, -0.0009641706818148911], "duration": 1440, "sigma": 32, "width": 1312}}, {"name": "delay", "t0": 1440, "ch": "m100", "duration": 1360}, {"name": "acquire", "t0": 0, "duration": 1440, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/osaka/fake_osaka.py b/qiskit_ibm_runtime/fake_provider/backends/osaka/fake_osaka.py
new file mode 100644
index 000000000..e238765de
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/osaka/fake_osaka.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Osaka device (127 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeOsaka(fake_backend.FakeBackendV2):
+    """A fake 127 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_osaka.json"  # type: ignore
+    props_filename = "props_osaka.json"  # type: ignore
+    defs_filename = "defs_osaka.json"  # type: ignore
+    backend_name = "fake_osaka"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/osaka/props_osaka.json b/qiskit_ibm_runtime/fake_provider/backends/osaka/props_osaka.json
new file mode 100644
index 000000000..35f83802c
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/osaka/props_osaka.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_osaka", "backend_version": "1.0.16", "last_update_date": "2024-02-28T04:34:29-05:00", "qubits": [[{"date": "2024-02-22T00:57:12-05:00", "name": "T1", "unit": "us", "value": 412.7753747617601}, {"date": "2024-02-26T01:02:29-05:00", "name": "T2", "unit": "us", "value": 223.83903857126694}, {"date": "2024-02-28T04:34:29-05:00", "name": "frequency", "unit": "GHz", "value": 4.822505531556077}, {"date": "2024-02-28T04:34:29-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.30896613792557315}, {"date": "2024-02-28T03:06:15-05:00", "name": "readout_error", "unit": "", "value": 0.025600000000000067}, {"date": "2024-02-28T03:06:15-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.026}, {"date": "2024-02-28T03:06:15-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0252}, {"date": "2024-02-28T03:06:15-05:00", "name": "readout_length", "unit": "ns", "value": 1400}], [{"date": "2024-02-28T03:18:44-05:00", "name": "T1", "unit": "us", "value": 375.07489010659486}, {"date": "2024-02-27T00:57:49-05:00", "name": "T2", "unit": "us", "value": 412.4607077320585}, {"date": "2024-02-28T04:34:29-05:00", "name": "frequency", "unit": "GHz", "value": 4.77269933020027}, {"date": "2024-02-28T04:34:29-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3102210761952548}, {"date": "2024-02-28T03:06:15-05:00", "name": "readout_error", "unit": "", "value": 0.013400000000000079}, {"date": "2024-02-28T03:06:15-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.019000000000000017}, {"date": "2024-02-28T03:06:15-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0078}, {"date": "2024-02-28T03:06:15-05:00", "name": "readout_length", "unit": "ns", "value": 1400}], [{"date": "2024-02-28T03:18:44-05:00", "name": "T1", "unit": "us", "value": 265.64214727319415}, {"date": "2024-02-28T03:37:33-05:00", "name": "T2", "unit": "us", "value": 372.6120707145925}, {"date": "2024-02-28T04:34:29-05:00", "name": "frequency", "unit": "GHz", "value": 4.718304847755324}, {"date": "2024-02-28T04:34:29-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3104037776462388}, {"date": "2024-02-28T03:06:15-05:00", "name": "readout_error", "unit": "", "value": 0.03210000000000002}, {"date": "2024-02-28T03:06:15-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.03720000000000001}, {"date": "2024-02-28T03:06:15-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.027}, {"date": "2024-02-28T03:06:15-05:00", "name": "readout_length", "unit": "ns", "value": 1400}], [{"date": "2024-02-26T00:56:26-05:00", "name": "T1", "unit": "us", "value": 400.4961700515289}, {"date": "2024-02-28T03:42:41-05:00", "name": "T2", "unit": "us", "value": 344.03191902484326}, {"date": "2024-02-28T04:34:29-05:00", "name": "frequency", "unit": "GHz", "value": 4.800165520107149}, {"date": "2024-02-28T04:34:29-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.30888128433002476}, {"date": "2024-02-28T03:06:15-05:00", "name": 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/peekskill/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/peekskill/__init__.py
new file mode 100644
index 000000000..0bb24c3f8
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/peekskill/__init__.py
@@ -0,0 +1,15 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2021, 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""Mock peekskill backend"""
+
+from .fake_peekskill import FakePeekskill
diff --git a/qiskit_ibm_runtime/fake_provider/backends/peekskill/conf_peekskill.json b/qiskit_ibm_runtime/fake_provider/backends/peekskill/conf_peekskill.json
new file mode 100644
index 000000000..076d14916
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/peekskill/conf_peekskill.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_peekskill", "backend_version": "2.10.1", "n_qubits": 27, "basis_gates": ["ecr", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]]}, {"name": "ecr", "parameters": [], "qasm_def": "gate ecr q0, q1 { U(pi, pi/2, 7*pi/2) q0; U(pi, 7*pi/2, pi/2) q1; CX q0, q1; U(0, 0, 7*pi/2) q0; U(pi/2, 7*pi/2, pi/2) q1; }", "coupling_map": [[0, 1], [2, 1], [2, 3], [3, 5], [4, 1], [5, 8], [6, 7], [7, 4], [7, 10], [9, 8], [11, 8], [11, 14], [12, 10], [13, 12], [14, 13], [15, 12], [15, 18], [16, 14], [16, 19], [18, 17], [18, 21], [20, 19], [21, 23], [22, 19], [22, 25], [23, 24], [25, 24], [26, 25]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 500000, "coupling_map": [[0, 1], [2, 1], [2, 3], [3, 5], [4, 1], [5, 8], [6, 7], [7, 4], [7, 10], [9, 8], [11, 8], [11, 14], [12, 10], [13, 12], [14, 13], [15, 12], [15, 18], [16, 14], [16, 19], [18, 17], [18, 21], [20, 19], [21, 23], [22, 19], [22, 25], [23, 24], [25, 24], [26, 25]], "dynamic_reprate_enabled": true, "supported_instructions": ["ecr", "id", "delay", "measure", "reset", "rz", "sx", "x", "if_else", "for_loop", "switch_case"], "rep_delay_range": [0.0, 1000.0], "default_rep_delay": 199.99999999999997, "max_experiments": 3000, "sample_name": "FalconR8", "n_registers": 1, "credits_required": true, "online_date": "2021-09-23T04:00:00+00:00", "description": "27 qubit device", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 8}, "parametric_pulses": ["gaussian", "gaussian_square", "gaussian_square_drag", "drag", "constant"], "allow_q_object": true, "clops": null, "clops_h": null, "clops_v": null, "coords": [[1, 2], [2, 2], [2, 3], [2, 4], [3, 2], [3, 4], [4, 1], [4, 2], [4, 4], [4, 5], [5, 2], [5, 4], [6, 2], [6, 3], [6, 4], [7, 2], [7, 4], [8, 1], [8, 2], [8, 4], [8, 5], [9, 2], [9, 4], [10, 2], [10, 3], [10, 4], [11, 4]], "measure_esp_enabled": false, "multi_meas_enabled": true, "parallel_compilation": true, "quantum_volume": null, "qubit_channel_mapping": [["u0", "d0", "m0"], ["u4", "u0", "m1", "u1", "d1"], ["d2", "m2", "u1", "u2"], ["u3", "d3", "u2", "m3"], ["u4", "d4", "u7", "m4"], ["u3", "d5", "m5", "u5"], ["m6", "u6", "d6"], ["u7", "u8", "m7", "u6", "d7"], ["u9", "d8", "u5", "m8", "u10"], ["u9", "d9", "m9"], ["u8", "d10", "m10", "u12"], ["m11", "u10", "u11", "d11"], ["m12", "u12", "d12", "u15", "u13"], ["d13", "u13", "u14", "m13"], ["u14", "d14", "m14", "u17", "u11"], ["d15", "m15", "u15", "u16"], ["u17", "m16", "d16", "u18"], ["u19", "m17", "d17"], ["u20", "m18", "u16", "u19", "d18"], ["d19", "m19", "u18", "u23", "u21"], ["m20", "u21", "d20"], ["u20", "u22", "m21", "d21"], ["m22", "u23", "d22", "u24"], ["m23", "u22", "d23", "u25"], ["u26", "m24", "u25", "d24"], ["u26", "u24", "m25", "d25", "u27"], ["u27", "m26", "d26"]], "supported_features": ["qobj", "qasm3", "parameters"], "timing_constraints": {"acquire_alignment": 16, "granularity": 16, "min_length": 64, "pulse_alignment": 16}, "uchannels_enabled": true, "url": "None", "n_uchannels": 28, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 5, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 7, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 8, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 10, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 13, "scale": [1.0, 0.0]}], [{"q": 12, "scale": [1.0, 0.0]}], [{"q": 18, "scale": [1.0, 0.0]}], [{"q": 14, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 17, "scale": [1.0, 0.0]}], [{"q": 21, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 23, "scale": [1.0, 0.0]}], [{"q": 19, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 24, "scale": [1.0, 0.0]}], [{"q": 25, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.3833540929588395, 5.3833540929588395], [4.127746028357075, 5.127746028357075], [4.256546095866816, 5.256546095866816], [4.339444715435514, 5.339444715435514], [4.4137781617399945, 5.4137781617399945], [4.47330891159201, 5.47330891159201], [4.493149756605063, 5.493149756605063], [4.228374015326138, 5.228374015326138], [4.410675288207697, 5.410675288207697], [4.67502270166348, 5.67502270166348], [4.3375137330491755, 5.3375137330491755], [4.6046656872694385, 5.6046656872694385], [4.399892865072125, 5.399892865072125], [4.472038389757867, 5.472038389757867], [4.317846690390836, 5.317846690390836], [4.457605023869311, 5.457605023869311], [4.577464515096522, 5.577464515096522], [4.651147601336018, 5.651147601336018], [4.583034710323727, 5.5830347103237274], [4.303581251988357, 5.303581251988357], [4.5998596121486734, 5.5998596121486734], [4.358215040679912, 5.358215040679912], [4.421254209746218, 5.421254209746218], [4.521137791227942, 5.521137791227942], [4.632990003793948, 5.632990003793948], [4.487110706967762, 5.487110706967762], [4.6088203289777185, 5.6088203289777185]], "meas_lo_range": [[6.667933286, 7.667933286], [6.786716377, 7.786716377], [6.664784423, 7.664784423], [6.789407126, 7.789407126], [6.7277919530000005, 7.7277919530000005], [6.738470961, 7.738470961000001], [6.845099843000001, 7.845099843000001], [6.604428468, 7.604428468], [6.603484532, 7.603484532], [6.838377702000001, 7.838377702000001], [6.662523161, 7.662523161], [6.726224107, 7.726224107], [6.841229060000001, 7.841229060000001], [6.727401346000001, 7.727401346000001], [6.780579499000001, 7.780579499000001], [6.7806119, 7.7806119], [6.657793862, 7.657793862], [6.844414457, 7.844414457], [6.6051959060000005, 7.6051959060000005], [6.598768996, 7.598768996], [6.835699237, 7.835699237000001], [6.7294343130000005, 7.7294343130000005], [6.72155199, 7.721551990000001], [6.790183408000001, 7.790183408000001], [6.6535428130000005, 7.6535428130000005], [6.771028607000001, 7.771028607000001], [6.649538551, 7.649538551000001]], "meas_kernels": ["hw_qmfk"], "discriminators": ["linear_discriminator", "quadratic_discriminator", "hw_qmfk"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{26}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{14,16}(\\sigma_{14}^{+}\\sigma_{16}^{-}+\\sigma_{14}^{-}\\sigma_{16}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{17,18}(\\sigma_{17}^{+}\\sigma_{18}^{-}+\\sigma_{17}^{-}\\sigma_{18}^{+}) \\\\ & + J_{11,14}(\\sigma_{11}^{+}\\sigma_{14}^{-}+\\sigma_{11}^{-}\\sigma_{14}^{+}) + J_{10,12}(\\sigma_{10}^{+}\\sigma_{12}^{-}+\\sigma_{10}^{-}\\sigma_{12}^{+}) + J_{13,14}(\\sigma_{13}^{+}\\sigma_{14}^{-}+\\sigma_{13}^{-}\\sigma_{14}^{+}) + J_{7,10}(\\sigma_{7}^{+}\\sigma_{10}^{-}+\\sigma_{7}^{-}\\sigma_{10}^{+}) \\\\ & + J_{16,19}(\\sigma_{16}^{+}\\sigma_{19}^{-}+\\sigma_{16}^{-}\\sigma_{19}^{+}) + J_{12,15}(\\sigma_{12}^{+}\\sigma_{15}^{-}+\\sigma_{12}^{-}\\sigma_{15}^{+}) + J_{22,25}(\\sigma_{22}^{+}\\sigma_{25}^{-}+\\sigma_{22}^{-}\\sigma_{25}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) \\\\ & + J_{8,11}(\\sigma_{8}^{+}\\sigma_{11}^{-}+\\sigma_{8}^{-}\\sigma_{11}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) \\\\ & + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{18,21}(\\sigma_{18}^{+}\\sigma_{21}^{-}+\\sigma_{18}^{-}\\sigma_{21}^{+}) + J_{4,7}(\\sigma_{4}^{+}\\sigma_{7}^{-}+\\sigma_{4}^{-}\\sigma_{7}^{+}) \\\\ & + J_{21,23}(\\sigma_{21}^{+}\\sigma_{23}^{-}+\\sigma_{21}^{-}\\sigma_{23}^{+}) + J_{3,5}(\\sigma_{3}^{+}\\sigma_{5}^{-}+\\sigma_{3}^{-}\\sigma_{5}^{+}) + J_{5,8}(\\sigma_{5}^{+}\\sigma_{8}^{-}+\\sigma_{5}^{-}\\sigma_{8}^{+}) + J_{1,4}(\\sigma_{1}^{+}\\sigma_{4}^{-}+\\sigma_{1}^{-}\\sigma_{4}^{+}) \\\\ & + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{19,22}(\\sigma_{19}^{+}\\sigma_{22}^{-}+\\sigma_{19}^{-}\\sigma_{22}^{+}) + J_{15,18}(\\sigma_{15}^{+}\\sigma_{18}^{-}+\\sigma_{15}^{-}\\sigma_{18}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,2}(U_{2}^{(2,3)}(t)+U_{1}^{(2,1)}(t))\\sigma_{2}^{X} \\\\ & + \\Omega_{d,3}(U_{3}^{(3,5)}(t))\\sigma_{3}^{X} + \\Omega_{d,4}(U_{4}^{(4,1)}(t))\\sigma_{4}^{X} \\\\ & + \\Omega_{d,5}(U_{5}^{(5,8)}(t))\\sigma_{5}^{X} + \\Omega_{d,6}(U_{6}^{(6,7)}(t))\\sigma_{6}^{X} \\\\ & + \\Omega_{d,7}(U_{7}^{(7,4)}(t)+U_{8}^{(7,10)}(t))\\sigma_{7}^{X} + \\Omega_{d,9}(U_{9}^{(9,8)}(t))\\sigma_{9}^{X} \\\\ & + \\Omega_{d,11}(U_{11}^{(11,14)}(t)+U_{10}^{(11,8)}(t))\\sigma_{11}^{X} + \\Omega_{d,12}(U_{12}^{(12,10)}(t))\\sigma_{12}^{X} \\\\ & + \\Omega_{d,13}(U_{13}^{(13,12)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{14}^{(14,13)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,15}(U_{15}^{(15,12)}(t)+U_{16}^{(15,18)}(t))\\sigma_{15}^{X} + \\Omega_{d,16}(U_{17}^{(16,14)}(t)+U_{18}^{(16,19)}(t))\\sigma_{16}^{X} \\\\ & + \\Omega_{d,18}(U_{19}^{(18,17)}(t)+U_{20}^{(18,21)}(t))\\sigma_{18}^{X} + \\Omega_{d,20}(U_{21}^{(20,19)}(t))\\sigma_{20}^{X} \\\\ & + \\Omega_{d,21}(U_{22}^{(21,23)}(t))\\sigma_{21}^{X} + \\Omega_{d,22}(U_{24}^{(22,25)}(t)+U_{23}^{(22,19)}(t))\\sigma_{22}^{X} \\\\ & + \\Omega_{d,23}(U_{25}^{(23,24)}(t))\\sigma_{23}^{X} + \\Omega_{d,25}(U_{26}^{(25,24)}(t))\\sigma_{25}^{X} \\\\ & + \\Omega_{d,26}(U_{27}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,26,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,26,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,26,-delta{i}/2*O{i}]", "_SUM[i,0,26,omegad{i}*X{i}||D{i}]", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq14q16*Sp14*Sm16", "jq14q16*Sm14*Sp16", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq17q18*Sp17*Sm18", "jq17q18*Sm17*Sp18", "jq11q14*Sp11*Sm14", "jq11q14*Sm11*Sp14", "jq10q12*Sp10*Sm12", "jq10q12*Sm10*Sp12", "jq13q14*Sp13*Sm14", "jq13q14*Sm13*Sp14", "jq7q10*Sp7*Sm10", "jq7q10*Sm7*Sp10", "jq16q19*Sp16*Sm19", "jq16q19*Sm16*Sp19", "jq12q15*Sp12*Sm15", "jq12q15*Sm12*Sp15", "jq22q25*Sp22*Sm25", "jq22q25*Sm22*Sp25", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq8q11*Sp8*Sm11", "jq8q11*Sm8*Sp11", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq24q25*Sp24*Sm25", "jq24q25*Sm24*Sp25", "jq18q21*Sp18*Sm21", "jq18q21*Sm18*Sp21", "jq4q7*Sp4*Sm7", "jq4q7*Sm4*Sp7", "jq21q23*Sp21*Sm23", "jq21q23*Sm21*Sp23", "jq3q5*Sp3*Sm5", "jq3q5*Sm3*Sp5", "jq5q8*Sp5*Sm8", "jq5q8*Sm5*Sp8", "jq1q4*Sp1*Sm4", "jq1q4*Sm1*Sp4", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq19q22*Sp19*Sm22", "jq19q22*Sm19*Sp22", "jq15q18*Sp15*Sm18", "jq15q18*Sm15*Sp18", "jq25q26*Sp25*Sm26", "jq25q26*Sm25*Sp26", "omegad1*X0||U0", "omegad3*X2||U2", "omegad1*X2||U1", "omegad5*X3||U3", "omegad1*X4||U4", "omegad8*X5||U5", "omegad7*X6||U6", "omegad4*X7||U7", "omegad10*X7||U8", "omegad8*X9||U9", "omegad14*X11||U11", "omegad8*X11||U10", "omegad10*X12||U12", "omegad12*X13||U13", "omegad13*X14||U14", "omegad12*X15||U15", "omegad18*X15||U16", "omegad14*X16||U17", "omegad19*X16||U18", "omegad17*X18||U19", "omegad21*X18||U20", "omegad19*X20||U21", "omegad23*X21||U22", "omegad25*X22||U24", "omegad19*X22||U23", "omegad24*X23||U25", "omegad24*X25||U26", "omegad25*X26||U27"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3, "5": 3, "6": 3, "7": 3, "8": 3, "9": 3, "10": 3, "11": 3, "12": 3, "13": 3, "14": 3, "15": 3, "16": 3, "17": 3, "18": 3, "19": 3, "20": 3, "21": 3, "22": 3, "23": 3, "24": 3, "25": 3, "26": 3}, "vars": {"delta0": -2.1666186198106594, "delta1": -2.1978655989482014, "delta10": -2.171635949939183, "delta11": -2.1486354036095214, "delta12": -2.159430682816479, "delta13": -2.1576153957957733, "delta14": -2.329737758367711, "delta15": -2.1160996602800246, "delta16": -2.138202462419409, "delta17": -2.137395885986411, "delta18": -2.15244082163844, "delta19": -2.4043612221778328, "delta2": -2.1985836897032502, "delta20": -2.3205335591422758, "delta21": -2.170310033675341, "delta22": -2.166513370891287, "delta23": -2.1470545801855456, "delta24": -2.1417295492415276, "delta25": -2.161879139158401, "delta26": -2.131448701253079, "delta3": -2.188047685551135, "delta4": -2.1615748780335853, "delta5": -2.161716946891473, "delta6": -2.1539821020785697, "delta7": -2.191762151727667, "delta8": -2.164068152084509, "delta9": -2.130542348183134, "jq0q1": 0.011677891757312002, "jq10q12": 0.012332274361328562, "jq11q14": 0.01087694622242353, "jq12q13": 0.012430076768465349, "jq12q15": 0.012024673950199186, "jq13q14": 0.012736650175625022, "jq14q16": 0.012407857109238292, "jq15q18": 0.013205758070313097, "jq16q19": 0.011854741188012956, "jq17q18": 0.01283966219080108, "jq18q21": 0.01260269690286374, "jq19q20": 0.009362002968240447, "jq19q22": 0.01029112818334598, "jq1q2": 0.0118454613948082, "jq1q4": 0.011490376420437985, "jq21q23": 0.012278887377891946, "jq22q25": 0.01206740737294868, "jq23q24": 0.012784514226652175, "jq24q25": 0.012789271326940854, "jq25q26": 0.012552525321151593, "jq2q3": 0.011873098007468613, "jq3q5": 0.012360238248799265, "jq4q7": 0.012169203276565146, "jq5q8": 0.01267040201236087, "jq6q7": 0.01201542784372214, "jq7q10": 0.011672074254798385, "jq8q11": 0.012104017024841393, "jq8q9": 0.012573904329786799, "omegad0": 0.8188350851076215, "omegad1": 0.7631774129628429, "omegad10": 0.7805562778829487, "omegad11": 0.816211919426994, "omegad12": 0.6781133402685634, "omegad13": 0.8239263820339837, "omegad14": 1.5163889596690814, "omegad15": 1.867974202830582, "omegad16": 0.8759322631067602, "omegad17": 0.8045300381279397, "omegad18": 0.7565805195703614, "omegad19": 0.8374588322251069, "omegad2": 0.7212126365729608, "omegad20": 0.8479369919784935, "omegad21": 0.6455204359579214, "omegad22": 0.7959029156052085, "omegad23": 0.5950773759664888, "omegad24": 0.9702090521261744, "omegad25": 0.6706253917168653, "omegad26": 0.7784713307127606, "omegad3": 0.8761185285315956, "omegad4": 0.8041110832560118, "omegad5": 0.8295688316766594, "omegad6": 0.7778568004127944, "omegad7": 0.7550993235989263, "omegad8": 0.3974911213429046, "omegad9": 0.7795704571020498, "wq0": 30.68301868663428, "wq1": 29.07698585073186, "wq10": 30.39499521077405, "wq11": 32.07356044431512, "wq12": 30.786934856575265, "wq13": 31.24023855725948, "wq14": 30.271423537307502, "wq15": 31.149551044775354, "wq16": 31.902650438980192, "wq17": 32.365614923827835, "wq18": 31.937649007789883, "wq19": 30.181791144336565, "wq2": 29.886260542472805, "wq20": 32.04336298373113, "wq21": 30.5250653627189, "wq22": 30.92115214357312, "wq23": 31.54873919516757, "wq24": 32.251527373737815, "wq25": 31.33494071929784, "wq26": 32.099664828053186, "wq3": 30.40712793093232, "wq4": 30.874178748584654, "wq5": 31.24822148138022, "wq6": 31.372885187248258, "wq7": 29.70925013994693, "wq8": 30.854682819196487, "wq9": 32.515626603412784}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire7": {"operates": {"qubits": [7]}, "purpose": "acquire", "type": "acquire"}, "acquire8": {"operates": {"qubits": [8]}, "purpose": "acquire", "type": "acquire"}, "acquire9": {"operates": {"qubits": [9]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d10": {"operates": {"qubits": [10]}, "purpose": "drive", "type": "drive"}, "d11": {"operates": {"qubits": [11]}, "purpose": "drive", "type": "drive"}, "d12": {"operates": {"qubits": [12]}, "purpose": "drive", "type": "drive"}, "d13": {"operates": {"qubits": [13]}, "purpose": "drive", "type": "drive"}, "d14": {"operates": {"qubits": [14]}, "purpose": "drive", "type": "drive"}, "d15": {"operates": {"qubits": [15]}, "purpose": "drive", "type": "drive"}, "d16": {"operates": {"qubits": [16]}, "purpose": "drive", "type": "drive"}, "d17": {"operates": {"qubits": [17]}, "purpose": "drive", "type": "drive"}, "d18": {"operates": {"qubits": [18]}, "purpose": "drive", "type": "drive"}, "d19": {"operates": {"qubits": [19]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", 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{"operates": {"qubits": [9]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m10": {"operates": {"qubits": [10]}, "purpose": "measure", "type": "measure"}, "m11": {"operates": {"qubits": [11]}, "purpose": "measure", "type": "measure"}, "m12": {"operates": {"qubits": [12]}, "purpose": "measure", "type": "measure"}, "m13": {"operates": {"qubits": [13]}, "purpose": "measure", "type": "measure"}, "m14": {"operates": {"qubits": [14]}, "purpose": "measure", "type": "measure"}, "m15": {"operates": {"qubits": [15]}, "purpose": "measure", "type": "measure"}, "m16": {"operates": {"qubits": [16]}, "purpose": "measure", "type": "measure"}, "m17": {"operates": {"qubits": [17]}, "purpose": "measure", "type": "measure"}, "m18": {"operates": {"qubits": [18]}, "purpose": "measure", "type": "measure"}, "m19": {"operates": {"qubits": [19]}, "purpose": 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/peekskill/defs_peekskill.json b/qiskit_ibm_runtime/fake_provider/backends/peekskill/defs_peekskill.json
new file mode 100644
index 000000000..447a4250b
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/peekskill/defs_peekskill.json
@@ -0,0 +1 @@
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"label": "XpRS_d13", "pulse_shape": "drag", "parameters": {"amp": [0.2300463121371148, 0.0], "beta": -1.247573682102416, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [14], "sequence": [{"name": "RSdelay_d14", "t0": 0, "ch": "d14"}, {"name": "parametric_pulse", "t0": 368, "ch": "d14", "label": "XpRS_d14", "pulse_shape": "drag", "parameters": {"amp": [0.12499511160618516, 0.0], "beta": -1.5584991830445325, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [15], "sequence": [{"name": "RSdelay_d15", "t0": 0, "ch": "d15"}, {"name": "parametric_pulse", "t0": 368, "ch": "d15", "label": "XpRS_d15", "pulse_shape": "drag", "parameters": {"amp": [0.10146887180711489, 0.0], "beta": -2.179240834910795, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [16], "sequence": [{"name": "RSdelay_d16", "t0": 0, "ch": "d16"}, {"name": "parametric_pulse", "t0": 368, "ch": "d16", "label": "XpRS_d16", "pulse_shape": "drag", "parameters": {"amp": [0.21638799202368145, 0.0], "beta": 0.7310633095213244, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [17], "sequence": [{"name": "RSdelay_d17", "t0": 0, "ch": "d17"}, {"name": "parametric_pulse", "t0": 368, "ch": "d17", "label": "XpRS_d17", "pulse_shape": "drag", "parameters": {"amp": [0.23559247659938737, 0.0], "beta": 0.35885714187157364, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [18], "sequence": [{"name": "RSdelay_d18", "t0": 0, "ch": "d18"}, {"name": "parametric_pulse", "t0": 368, "ch": "d18", "label": "XpRS_d18", "pulse_shape": "drag", "parameters": {"amp": [0.2505235509513073, 0.0], "beta": -1.4988927843132054, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [19], "sequence": [{"name": "RSdelay_d19", "t0": 0, "ch": "d19"}, {"name": "parametric_pulse", "t0": 368, "ch": "d19", "label": "XpRS_d19", "pulse_shape": "drag", "parameters": {"amp": [0.22632899134871814, 0.0], "beta": 1.723703375590422, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [20], "sequence": [{"name": "RSdelay_d20", "t0": 0, "ch": "d20"}, {"name": "parametric_pulse", "t0": 368, "ch": "d20", "label": "XpRS_d20", "pulse_shape": "drag", "parameters": {"amp": [0.223532209755878, 0.0], "beta": -2.4562489633167797, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [21], "sequence": [{"name": "RSdelay_d21", "t0": 0, "ch": "d21"}, {"name": "parametric_pulse", "t0": 368, "ch": "d21", "label": "XpRS_d21", "pulse_shape": "drag", "parameters": {"amp": [0.2936254238270429, 0.0], "beta": 0.3717001400615339, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [22], "sequence": [{"name": "RSdelay_d22", "t0": 0, "ch": "d22"}, {"name": "parametric_pulse", "t0": 368, "ch": "d22", "label": "XpRS_d22", "pulse_shape": "drag", "parameters": {"amp": [0.23814616107048095, 0.0], "beta": -3.6207635321429628, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [23], "sequence": [{"name": "RSdelay_d23", "t0": 0, "ch": "d23"}, {"name": "parametric_pulse", "t0": 368, "ch": "d23", "label": "XpRS_d23", "pulse_shape": "drag", "parameters": {"amp": [0.31851528224293113, 0.0], "beta": 1.4882498526262793, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [24], "sequence": [{"name": "RSdelay_d24", "t0": 0, "ch": "d24"}, {"name": "parametric_pulse", "t0": 368, "ch": "d24", "label": "XpRS_d24", "pulse_shape": "drag", "parameters": {"amp": [0.1953612102850243, 0.0], "beta": -2.784879372892791, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [25], "sequence": [{"name": "RSdelay_d25", "t0": 0, "ch": "d25"}, {"name": "parametric_pulse", "t0": 368, "ch": "d25", "label": "XpRS_d25", "pulse_shape": "drag", "parameters": {"amp": [0.28263352528485924, 0.0], "beta": -0.5086454403874947, "duration": 160, "sigma": 40}}]}, {"name": "xprs", "qubits": [26], "sequence": [{"name": "RSdelay_d26", "t0": 0, "ch": "d26"}, {"name": "parametric_pulse", "t0": 368, "ch": "d26", "label": "XpRS_d26", "pulse_shape": "drag", "parameters": {"amp": [0.24347873428719782, 0.0], "beta": -1.7530808518399932, "duration": 160, "sigma": 40}}]}], "meas_kernel": {"name": "hw_qmfk", "params": {}}, "discriminator": {"name": "hw_qmfk", "params": {}}, "_data": {}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/peekskill/fake_peekskill.py b/qiskit_ibm_runtime/fake_provider/backends/peekskill/fake_peekskill.py
new file mode 100644
index 000000000..467e30f65
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/peekskill/fake_peekskill.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2021, 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Peekskill device (27 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakePeekskill(fake_backend.FakeBackendV2):
+    """A fake 27 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_peekskill.json"  # type: ignore
+    props_filename = "props_peekskill.json"  # type: ignore
+    defs_filename = "defs_peekskill.json"  # type: ignore
+    backend_name = "fake_peekskill"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/peekskill/props_peekskill.json b/qiskit_ibm_runtime/fake_provider/backends/peekskill/props_peekskill.json
new file mode 100644
index 000000000..003836474
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/peekskill/props_peekskill.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_peekskill", "backend_version": "2.10.1", "last_update_date": "2024-02-28T09:02:02-05:00", "qubits": [[{"date": "2024-02-28T00:19:43-05:00", "name": "T1", "unit": "us", "value": 346.64835383424025}, {"date": "2024-02-28T00:22:45-05:00", "name": "T2", "unit": "us", "value": 478.084996571691}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", "value": 4.8833540929588395}, {"date": "2024-02-28T09:02:02-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3448280631378064}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_error", "unit": "", "value": 0.09570000000000001}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.09399999999999997}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0974}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_length", "unit": "ns", "value": 860.4444444444443}], [{"date": "2024-02-28T00:19:43-05:00", "name": "T1", "unit": "us", "value": 352.7401680570306}, {"date": "2024-02-28T00:25:53-05:00", "name": "T2", "unit": "us", "value": 527.551122530438}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", "value": 4.627746028357075}, {"date": "2024-02-28T09:02:02-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3498011743242354}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_error", "unit": "", "value": 0.035700000000000065}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.039000000000000035}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0324}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_length", "unit": "ns", "value": 860.4444444444443}], [{"date": "2024-02-28T00:19:43-05:00", "name": "T1", "unit": "us", "value": 304.6480026985162}, {"date": "2024-02-28T00:22:45-05:00", "name": "T2", "unit": "us", "value": 429.6852809031781}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", "value": 4.756546095866816}, {"date": "2024-02-28T09:02:02-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.34991546201748996}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_error", "unit": "", "value": 0.006199999999999983}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.00539999999999996}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.007}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_length", "unit": "ns", "value": 860.4444444444443}], [{"date": "2024-02-27T00:15:15-05:00", "name": "T1", "unit": "us", "value": 406.55058007426976}, {"date": "2024-02-28T00:25:53-05:00", "name": "T2", "unit": "us", "value": 223.6087833741534}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", "value": 4.839444715435514}, {"date": "2024-02-28T09:02:02-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.34823860487624425}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_error", "unit": "", "value": 0.010199999999999987}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.01200000000000001}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0084}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_length", "unit": "ns", "value": 860.4444444444443}], [{"date": "2024-02-28T00:19:43-05:00", "name": "T1", "unit": "us", "value": 313.2451477416909}, {"date": "2024-02-28T00:22:45-05:00", "name": "T2", "unit": "us", "value": 191.47297957304667}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", "value": 4.9137781617399945}, {"date": "2024-02-28T09:02:02-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.34402532670230573}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_error", "unit": "", "value": 0.0046999999999999265}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.007199999999999984}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0022}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_length", "unit": "ns", "value": 860.4444444444443}], [{"date": "2024-02-28T00:19:43-05:00", "name": "T1", "unit": "us", "value": 103.7596849496175}, {"date": "2024-02-28T00:22:45-05:00", "name": "T2", "unit": "us", "value": 45.069991806527504}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", "value": 4.97330891159201}, {"date": "2024-02-28T09:02:02-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.3440479376632981}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_error", "unit": "", "value": 0.08190000000000008}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.09540000000000004}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0684}, {"date": "2024-02-28T00:16:48-05:00", 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{"date": "2024-02-28T00:25:53-05:00", "name": "T2", "unit": "us", "value": 262.29299669267226}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", "value": 4.728374015326138}, {"date": "2024-02-28T09:02:02-05:00", "name": "anharmonicity", "unit": "GHz", "value": -0.34882978052918695}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_error", "unit": "", "value": 0.01749999999999996}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0224}, {"date": "2024-02-28T00:16:48-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.012599999999999945}, {"date": "2024-02-28T00:16:48-05:00", "name": "readout_length", "unit": "ns", "value": 860.4444444444443}], [{"date": "2024-02-28T00:19:43-05:00", "name": "T1", "unit": "us", "value": 257.0007264523655}, {"date": "2024-02-28T00:25:53-05:00", "name": "T2", "unit": "us", "value": 253.915195196389}, {"date": "2024-02-28T09:02:02-05:00", "name": "frequency", "unit": "GHz", 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/quebec/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/quebec/__init__.py
new file mode 100644
index 000000000..0eac0ae4e
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/quebec/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Quebec backend (127 qubit).
+"""
+
+from .fake_quebec import FakeQuebec
diff --git a/qiskit_ibm_runtime/fake_provider/backends/quebec/conf_quebec.json b/qiskit_ibm_runtime/fake_provider/backends/quebec/conf_quebec.json
new file mode 100644
index 000000000..2026d5a71
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/quebec/conf_quebec.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_quebec", "backend_version": "1.2.4", "n_qubits": 127, "basis_gates": ["ecr", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], 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[1000.0], "meas_map": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{126}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{62,72}(\\sigma_{62}^{+}\\sigma_{72}^{-}+\\sigma_{62}^{-}\\sigma_{72}^{+}) + J_{67,68}(\\sigma_{67}^{+}\\sigma_{68}^{-}+\\sigma_{67}^{-}\\sigma_{68}^{+}) + J_{44,45}(\\sigma_{44}^{+}\\sigma_{45}^{-}+\\sigma_{44}^{-}\\sigma_{45}^{+}) + J_{99,100}(\\sigma_{99}^{+}\\sigma_{100}^{-}+\\sigma_{99}^{-}\\sigma_{100}^{+}) \\\\ & + J_{108,112}(\\sigma_{108}^{+}\\sigma_{112}^{-}+\\sigma_{108}^{-}\\sigma_{112}^{+}) + J_{8,9}(\\sigma_{8}^{+}\\sigma_{9}^{-}+\\sigma_{8}^{-}\\sigma_{9}^{+}) + J_{40,41}(\\sigma_{40}^{+}\\sigma_{41}^{-}+\\sigma_{40}^{-}\\sigma_{41}^{+}) + J_{0,14}(\\sigma_{0}^{+}\\sigma_{14}^{-}+\\sigma_{0}^{-}\\sigma_{14}^{+}) \\\\ & + J_{17,30}(\\sigma_{17}^{+}\\sigma_{30}^{-}+\\sigma_{17}^{-}\\sigma_{30}^{+}) + J_{100,101}(\\sigma_{100}^{+}\\sigma_{101}^{-}+\\sigma_{100}^{-}\\sigma_{101}^{+}) + J_{91,98}(\\sigma_{91}^{+}\\sigma_{98}^{-}+\\sigma_{91}^{-}\\sigma_{98}^{+}) + J_{100,110}(\\sigma_{100}^{+}\\sigma_{110}^{-}+\\sigma_{100}^{-}\\sigma_{110}^{+}) \\\\ & + J_{75,90}(\\sigma_{75}^{+}\\sigma_{90}^{-}+\\sigma_{75}^{-}\\sigma_{90}^{+}) + J_{41,42}(\\sigma_{41}^{+}\\sigma_{42}^{-}+\\sigma_{41}^{-}\\sigma_{42}^{+}) + J_{96,97}(\\sigma_{96}^{+}\\sigma_{97}^{-}+\\sigma_{96}^{-}\\sigma_{97}^{+}) + J_{18,19}(\\sigma_{18}^{+}\\sigma_{19}^{-}+\\sigma_{18}^{-}\\sigma_{19}^{+}) \\\\ & + J_{55,68}(\\sigma_{55}^{+}\\sigma_{68}^{-}+\\sigma_{55}^{-}\\sigma_{68}^{+}) + J_{9,10}(\\sigma_{9}^{+}\\sigma_{10}^{-}+\\sigma_{9}^{-}\\sigma_{10}^{+}) + J_{49,55}(\\sigma_{49}^{+}\\sigma_{55}^{-}+\\sigma_{49}^{-}\\sigma_{55}^{+}) + J_{106,107}(\\sigma_{106}^{+}\\sigma_{107}^{-}+\\sigma_{106}^{-}\\sigma_{107}^{+}) \\\\ & + J_{47,48}(\\sigma_{47}^{+}\\sigma_{48}^{-}+\\sigma_{47}^{-}\\sigma_{48}^{+}) + J_{42,43}(\\sigma_{42}^{+}\\sigma_{43}^{-}+\\sigma_{42}^{-}\\sigma_{43}^{+}) + J_{107,108}(\\sigma_{107}^{+}\\sigma_{108}^{-}+\\sigma_{107}^{-}\\sigma_{108}^{+}) + J_{73,85}(\\sigma_{73}^{+}\\sigma_{85}^{-}+\\sigma_{73}^{-}\\sigma_{85}^{+}) \\\\ & + J_{38,39}(\\sigma_{38}^{+}\\sigma_{39}^{-}+\\sigma_{38}^{-}\\sigma_{39}^{+}) + J_{20,33}(\\sigma_{20}^{+}\\sigma_{33}^{-}+\\sigma_{20}^{-}\\sigma_{33}^{+}) + J_{48,49}(\\sigma_{48}^{+}\\sigma_{49}^{-}+\\sigma_{48}^{-}\\sigma_{49}^{+}) + J_{103,104}(\\sigma_{103}^{+}\\sigma_{104}^{-}+\\sigma_{103}^{-}\\sigma_{104}^{+}) \\\\ & + J_{80,81}(\\sigma_{80}^{+}\\sigma_{81}^{-}+\\sigma_{80}^{-}\\sigma_{81}^{+}) + J_{75,76}(\\sigma_{75}^{+}\\sigma_{76}^{-}+\\sigma_{75}^{-}\\sigma_{76}^{+}) + J_{66,73}(\\sigma_{66}^{+}\\sigma_{73}^{-}+\\sigma_{66}^{-}\\sigma_{73}^{+}) + J_{85,86}(\\sigma_{85}^{+}\\sigma_{86}^{-}+\\sigma_{85}^{-}\\sigma_{86}^{+}) \\\\ & + J_{110,118}(\\sigma_{110}^{+}\\sigma_{118}^{-}+\\sigma_{110}^{-}\\sigma_{118}^{+}) + J_{81,82}(\\sigma_{81}^{+}\\sigma_{82}^{-}+\\sigma_{81}^{-}\\sigma_{82}^{+}) + J_{16,26}(\\sigma_{16}^{+}\\sigma_{26}^{-}+\\sigma_{16}^{-}\\sigma_{26}^{+}) + J_{90,94}(\\sigma_{90}^{+}\\sigma_{94}^{-}+\\sigma_{90}^{-}\\sigma_{94}^{+}) \\\\ & + J_{118,119}(\\sigma_{118}^{+}\\sigma_{119}^{-}+\\sigma_{118}^{-}\\sigma_{119}^{+}) + J_{12,13}(\\sigma_{12}^{+}\\sigma_{13}^{-}+\\sigma_{12}^{-}\\sigma_{13}^{+}) + J_{77,78}(\\sigma_{77}^{+}\\sigma_{78}^{-}+\\sigma_{77}^{-}\\sigma_{78}^{+}) + J_{22,23}(\\sigma_{22}^{+}\\sigma_{23}^{-}+\\sigma_{22}^{-}\\sigma_{23}^{+}) \\\\ & + J_{49,50}(\\sigma_{49}^{+}\\sigma_{50}^{-}+\\sigma_{49}^{-}\\sigma_{50}^{+}) + J_{104,105}(\\sigma_{104}^{+}\\sigma_{105}^{-}+\\sigma_{104}^{-}\\sigma_{105}^{+}) + J_{114,115}(\\sigma_{114}^{+}\\sigma_{115}^{-}+\\sigma_{114}^{-}\\sigma_{115}^{+}) + J_{45,46}(\\sigma_{45}^{+}\\sigma_{46}^{-}+\\sigma_{45}^{-}\\sigma_{46}^{+}) \\\\ & + J_{50,51}(\\sigma_{50}^{+}\\sigma_{51}^{-}+\\sigma_{50}^{-}\\sigma_{51}^{+}) + J_{105,106}(\\sigma_{105}^{+}\\sigma_{106}^{-}+\\sigma_{105}^{-}\\sigma_{106}^{+}) + J_{72,81}(\\sigma_{72}^{+}\\sigma_{81}^{-}+\\sigma_{72}^{-}\\sigma_{81}^{+}) + J_{82,83}(\\sigma_{82}^{+}\\sigma_{83}^{-}+\\sigma_{82}^{-}\\sigma_{83}^{+}) \\\\ & + J_{46,47}(\\sigma_{46}^{+}\\sigma_{47}^{-}+\\sigma_{46}^{-}\\sigma_{47}^{+}) + J_{23,24}(\\sigma_{23}^{+}\\sigma_{24}^{-}+\\sigma_{23}^{-}\\sigma_{24}^{+}) + J_{78,79}(\\sigma_{78}^{+}\\sigma_{79}^{-}+\\sigma_{78}^{-}\\sigma_{79}^{+}) + J_{83,84}(\\sigma_{83}^{+}\\sigma_{84}^{-}+\\sigma_{83}^{-}\\sigma_{84}^{+}) \\\\ & + J_{115,116}(\\sigma_{115}^{+}\\sigma_{116}^{-}+\\sigma_{115}^{-}\\sigma_{116}^{+}) + J_{19,20}(\\sigma_{19}^{+}\\sigma_{20}^{-}+\\sigma_{19}^{-}\\sigma_{20}^{+}) + J_{24,25}(\\sigma_{24}^{+}\\sigma_{25}^{-}+\\sigma_{24}^{-}\\sigma_{25}^{+}) + J_{79,80}(\\sigma_{79}^{+}\\sigma_{80}^{-}+\\sigma_{79}^{-}\\sigma_{80}^{+}) \\\\ & + J_{56,57}(\\sigma_{56}^{+}\\sigma_{57}^{-}+\\sigma_{56}^{-}\\sigma_{57}^{+}) + J_{93,106}(\\sigma_{93}^{+}\\sigma_{106}^{-}+\\sigma_{93}^{-}\\sigma_{106}^{+}) + J_{116,117}(\\sigma_{116}^{+}\\sigma_{117}^{-}+\\sigma_{116}^{-}\\sigma_{117}^{+}) + J_{20,21}(\\sigma_{20}^{+}\\sigma_{21}^{-}+\\sigma_{20}^{-}\\sigma_{21}^{+}) \\\\ & + J_{12,17}(\\sigma_{12}^{+}\\sigma_{17}^{-}+\\sigma_{12}^{-}\\sigma_{17}^{+}) + J_{41,53}(\\sigma_{41}^{+}\\sigma_{53}^{-}+\\sigma_{41}^{-}\\sigma_{53}^{+}) + J_{57,58}(\\sigma_{57}^{+}\\sigma_{58}^{-}+\\sigma_{57}^{-}\\sigma_{58}^{+}) + J_{87,93}(\\sigma_{87}^{+}\\sigma_{93}^{-}+\\sigma_{87}^{-}\\sigma_{93}^{+}) \\\\ & + J_{30,31}(\\sigma_{30}^{+}\\sigma_{31}^{-}+\\sigma_{30}^{-}\\sigma_{31}^{+}) + J_{25,26}(\\sigma_{25}^{+}\\sigma_{26}^{-}+\\sigma_{25}^{-}\\sigma_{26}^{+}) + J_{79,91}(\\sigma_{79}^{+}\\sigma_{91}^{-}+\\sigma_{79}^{-}\\sigma_{91}^{+}) + J_{26,27}(\\sigma_{26}^{+}\\sigma_{27}^{-}+\\sigma_{26}^{-}\\sigma_{27}^{+}) \\\\ & + J_{21,22}(\\sigma_{21}^{+}\\sigma_{22}^{-}+\\sigma_{21}^{-}\\sigma_{22}^{+}) + J_{58,71}(\\sigma_{58}^{+}\\sigma_{71}^{-}+\\sigma_{58}^{-}\\sigma_{71}^{+}) + J_{86,87}(\\sigma_{86}^{+}\\sigma_{87}^{-}+\\sigma_{86}^{-}\\sigma_{87}^{+}) + J_{31,32}(\\sigma_{31}^{+}\\sigma_{32}^{-}+\\sigma_{31}^{-}\\sigma_{32}^{+}) \\\\ & + J_{4,15}(\\sigma_{4}^{+}\\sigma_{15}^{-}+\\sigma_{4}^{-}\\sigma_{15}^{+}) + J_{113,114}(\\sigma_{113}^{+}\\sigma_{114}^{-}+\\sigma_{113}^{-}\\sigma_{114}^{+}) + J_{104,111}(\\sigma_{104}^{+}\\sigma_{111}^{-}+\\sigma_{104}^{-}\\sigma_{111}^{+}) + J_{123,124}(\\sigma_{123}^{+}\\sigma_{124}^{-}+\\sigma_{123}^{-}\\sigma_{124}^{+}) \\\\ & + J_{27,28}(\\sigma_{27}^{+}\\sigma_{28}^{-}+\\sigma_{27}^{-}\\sigma_{28}^{+}) + J_{34,43}(\\sigma_{34}^{+}\\sigma_{43}^{-}+\\sigma_{34}^{-}\\sigma_{43}^{+}) + J_{119,120}(\\sigma_{119}^{+}\\sigma_{120}^{-}+\\sigma_{119}^{-}\\sigma_{120}^{+}) + J_{64,65}(\\sigma_{64}^{+}\\sigma_{65}^{-}+\\sigma_{64}^{-}\\sigma_{65}^{+}) \\\\ & + J_{54,64}(\\sigma_{54}^{+}\\sigma_{64}^{-}+\\sigma_{54}^{-}\\sigma_{64}^{+}) + J_{32,36}(\\sigma_{32}^{+}\\sigma_{36}^{-}+\\sigma_{32}^{-}\\sigma_{36}^{+}) + J_{5,6}(\\sigma_{5}^{+}\\sigma_{6}^{-}+\\sigma_{5}^{-}\\sigma_{6}^{+}) + J_{60,61}(\\sigma_{60}^{+}\\sigma_{61}^{-}+\\sigma_{60}^{-}\\sigma_{61}^{+}) \\\\ & + J_{14,18}(\\sigma_{14}^{+}\\sigma_{18}^{-}+\\sigma_{14}^{-}\\sigma_{18}^{+}) + J_{87,88}(\\sigma_{87}^{+}\\sigma_{88}^{-}+\\sigma_{87}^{-}\\sigma_{88}^{+}) + J_{97,98}(\\sigma_{97}^{+}\\sigma_{98}^{-}+\\sigma_{97}^{-}\\sigma_{98}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + J_{112,126}(\\sigma_{112}^{+}\\sigma_{126}^{-}+\\sigma_{112}^{-}\\sigma_{126}^{+}) + J_{28,29}(\\sigma_{28}^{+}\\sigma_{29}^{-}+\\sigma_{28}^{-}\\sigma_{29}^{+}) + J_{45,54}(\\sigma_{45}^{+}\\sigma_{54}^{-}+\\sigma_{45}^{-}\\sigma_{54}^{+}) + J_{36,51}(\\sigma_{36}^{+}\\sigma_{51}^{-}+\\sigma_{36}^{-}\\sigma_{51}^{+}) \\\\ & + J_{88,89}(\\sigma_{88}^{+}\\sigma_{89}^{-}+\\sigma_{88}^{-}\\sigma_{89}^{+}) + J_{120,121}(\\sigma_{120}^{+}\\sigma_{121}^{-}+\\sigma_{120}^{-}\\sigma_{121}^{+}) + J_{15,22}(\\sigma_{15}^{+}\\sigma_{22}^{-}+\\sigma_{15}^{-}\\sigma_{22}^{+}) + J_{24,34}(\\sigma_{24}^{+}\\sigma_{34}^{-}+\\sigma_{24}^{-}\\sigma_{34}^{+}) \\\\ & + J_{84,85}(\\sigma_{84}^{+}\\sigma_{85}^{-}+\\sigma_{84}^{-}\\sigma_{85}^{+}) + J_{29,30}(\\sigma_{29}^{+}\\sigma_{30}^{-}+\\sigma_{29}^{-}\\sigma_{30}^{+}) + J_{61,62}(\\sigma_{61}^{+}\\sigma_{62}^{-}+\\sigma_{61}^{-}\\sigma_{62}^{+}) + J_{70,74}(\\sigma_{70}^{+}\\sigma_{74}^{-}+\\sigma_{70}^{-}\\sigma_{74}^{+}) \\\\ & + J_{121,122}(\\sigma_{121}^{+}\\sigma_{122}^{-}+\\sigma_{121}^{-}\\sigma_{122}^{+}) + J_{2,3}(\\sigma_{2}^{+}\\sigma_{3}^{-}+\\sigma_{2}^{-}\\sigma_{3}^{+}) + J_{122,123}(\\sigma_{122}^{+}\\sigma_{123}^{-}+\\sigma_{122}^{-}\\sigma_{123}^{+}) + J_{117,118}(\\sigma_{117}^{+}\\sigma_{118}^{-}+\\sigma_{117}^{-}\\sigma_{118}^{+}) \\\\ & + J_{62,63}(\\sigma_{62}^{+}\\sigma_{63}^{-}+\\sigma_{62}^{-}\\sigma_{63}^{+}) + J_{94,95}(\\sigma_{94}^{+}\\sigma_{95}^{-}+\\sigma_{94}^{-}\\sigma_{95}^{+}) + J_{109,114}(\\sigma_{109}^{+}\\sigma_{114}^{-}+\\sigma_{109}^{-}\\sigma_{114}^{+}) + J_{37,52}(\\sigma_{37}^{+}\\sigma_{52}^{-}+\\sigma_{37}^{-}\\sigma_{52}^{+}) \\\\ & + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{58,59}(\\sigma_{58}^{+}\\sigma_{59}^{-}+\\sigma_{58}^{-}\\sigma_{59}^{+}) + J_{33,39}(\\sigma_{33}^{+}\\sigma_{39}^{-}+\\sigma_{33}^{-}\\sigma_{39}^{+}) + J_{95,96}(\\sigma_{95}^{+}\\sigma_{96}^{-}+\\sigma_{95}^{-}\\sigma_{96}^{+}) \\\\ & + J_{68,69}(\\sigma_{68}^{+}\\sigma_{69}^{-}+\\sigma_{68}^{-}\\sigma_{69}^{+}) + J_{63,64}(\\sigma_{63}^{+}\\sigma_{64}^{-}+\\sigma_{63}^{-}\\sigma_{64}^{+}) + J_{71,77}(\\sigma_{71}^{+}\\sigma_{77}^{-}+\\sigma_{71}^{-}\\sigma_{77}^{+}) + J_{111,122}(\\sigma_{111}^{+}\\sigma_{122}^{-}+\\sigma_{111}^{-}\\sigma_{122}^{+}) \\\\ & + J_{4,5}(\\sigma_{4}^{+}\\sigma_{5}^{-}+\\sigma_{4}^{-}\\sigma_{5}^{+}) + J_{59,60}(\\sigma_{59}^{+}\\sigma_{60}^{-}+\\sigma_{59}^{-}\\sigma_{60}^{+}) + J_{96,109}(\\sigma_{96}^{+}\\sigma_{109}^{-}+\\sigma_{96}^{-}\\sigma_{109}^{+}) + J_{124,125}(\\sigma_{124}^{+}\\sigma_{125}^{-}+\\sigma_{124}^{-}\\sigma_{125}^{+}) \\\\ & + J_{69,70}(\\sigma_{69}^{+}\\sigma_{70}^{-}+\\sigma_{69}^{-}\\sigma_{70}^{+}) + J_{35,47}(\\sigma_{35}^{+}\\sigma_{47}^{-}+\\sigma_{35}^{-}\\sigma_{47}^{+}) + J_{101,102}(\\sigma_{101}^{+}\\sigma_{102}^{-}+\\sigma_{101}^{-}\\sigma_{102}^{+}) + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) \\\\ & + J_{65,66}(\\sigma_{65}^{+}\\sigma_{66}^{-}+\\sigma_{65}^{-}\\sigma_{66}^{+}) + J_{10,11}(\\sigma_{10}^{+}\\sigma_{11}^{-}+\\sigma_{10}^{-}\\sigma_{11}^{+}) + J_{37,38}(\\sigma_{37}^{+}\\sigma_{38}^{-}+\\sigma_{37}^{-}\\sigma_{38}^{+}) + J_{28,35}(\\sigma_{28}^{+}\\sigma_{35}^{-}+\\sigma_{28}^{-}\\sigma_{35}^{+}) \\\\ & + J_{102,103}(\\sigma_{102}^{+}\\sigma_{103}^{-}+\\sigma_{102}^{-}\\sigma_{103}^{+}) + J_{92,102}(\\sigma_{92}^{+}\\sigma_{102}^{-}+\\sigma_{92}^{-}\\sigma_{102}^{+}) + J_{6,7}(\\sigma_{6}^{+}\\sigma_{7}^{-}+\\sigma_{6}^{-}\\sigma_{7}^{+}) + J_{43,44}(\\sigma_{43}^{+}\\sigma_{44}^{-}+\\sigma_{43}^{-}\\sigma_{44}^{+}) \\\\ & + J_{98,99}(\\sigma_{98}^{+}\\sigma_{99}^{-}+\\sigma_{98}^{-}\\sigma_{99}^{+}) + J_{52,56}(\\sigma_{52}^{+}\\sigma_{56}^{-}+\\sigma_{52}^{-}\\sigma_{56}^{+}) + J_{125,126}(\\sigma_{125}^{+}\\sigma_{126}^{-}+\\sigma_{125}^{-}\\sigma_{126}^{+}) + J_{39,40}(\\sigma_{39}^{+}\\sigma_{40}^{-}+\\sigma_{39}^{-}\\sigma_{40}^{+}) \\\\ & + J_{8,16}(\\sigma_{8}^{+}\\sigma_{16}^{-}+\\sigma_{8}^{-}\\sigma_{16}^{+}) + J_{11,12}(\\sigma_{11}^{+}\\sigma_{12}^{-}+\\sigma_{11}^{-}\\sigma_{12}^{+}) + J_{66,67}(\\sigma_{66}^{+}\\sigma_{67}^{-}+\\sigma_{66}^{-}\\sigma_{67}^{+}) + J_{76,77}(\\sigma_{76}^{+}\\sigma_{77}^{-}+\\sigma_{76}^{-}\\sigma_{77}^{+}) \\\\ & + J_{83,92}(\\sigma_{83}^{+}\\sigma_{92}^{-}+\\sigma_{83}^{-}\\sigma_{92}^{+}) + J_{74,89}(\\sigma_{74}^{+}\\sigma_{89}^{-}+\\sigma_{74}^{-}\\sigma_{89}^{+}) + J_{7,8}(\\sigma_{7}^{+}\\sigma_{8}^{-}+\\sigma_{7}^{-}\\sigma_{8}^{+}) + J_{53,60}(\\sigma_{53}^{+}\\sigma_{60}^{-}+\\sigma_{53}^{-}\\sigma_{60}^{+}) \\\\ & + \\Omega_{d,1}(U_{0}^{(1,0)}(t))\\sigma_{1}^{X} + \\Omega_{d,2}(U_{1}^{(2,1)}(t))\\sigma_{2}^{X} \\\\ & + \\Omega_{d,3}(U_{3}^{(3,4)}(t)+U_{2}^{(3,2)}(t))\\sigma_{3}^{X} + \\Omega_{d,4}(U_{4}^{(4,15)}(t))\\sigma_{4}^{X} \\\\ & + \\Omega_{d,5}(U_{6}^{(5,6)}(t)+U_{5}^{(5,4)}(t))\\sigma_{5}^{X} + \\Omega_{d,6}(U_{7}^{(6,7)}(t))\\sigma_{6}^{X} \\\\ & + \\Omega_{d,7}(U_{8}^{(7,8)}(t))\\sigma_{7}^{X} + \\Omega_{d,8}(U_{9}^{(8,16)}(t))\\sigma_{8}^{X} \\\\ & + \\Omega_{d,9}(U_{11}^{(9,10)}(t)+U_{10}^{(9,8)}(t))\\sigma_{9}^{X} + \\Omega_{d,11}(U_{12}^{(11,10)}(t)+U_{13}^{(11,12)}(t))\\sigma_{11}^{X} \\\\ & + \\Omega_{d,13}(U_{14}^{(13,12)}(t))\\sigma_{13}^{X} + \\Omega_{d,14}(U_{15}^{(14,0)}(t)+U_{16}^{(14,18)}(t))\\sigma_{14}^{X} \\\\ & + \\Omega_{d,16}(U_{17}^{(16,26)}(t))\\sigma_{16}^{X} + \\Omega_{d,17}(U_{18}^{(17,12)}(t))\\sigma_{17}^{X} \\\\ & + \\Omega_{d,19}(U_{19}^{(19,18)}(t)+U_{20}^{(19,20)}(t))\\sigma_{19}^{X} + \\Omega_{d,20}(U_{21}^{(20,33)}(t))\\sigma_{20}^{X} \\\\ & + \\Omega_{d,21}(U_{23}^{(21,22)}(t)+U_{22}^{(21,20)}(t))\\sigma_{21}^{X} + \\Omega_{d,22}(U_{24}^{(22,15)}(t))\\sigma_{22}^{X} \\\\ & + \\Omega_{d,23}(U_{25}^{(23,22)}(t))\\sigma_{23}^{X} + \\Omega_{d,24}(U_{26}^{(24,23)}(t))\\sigma_{24}^{X} \\\\ & + \\Omega_{d,25}(U_{27}^{(25,24)}(t))\\sigma_{25}^{X} + \\Omega_{d,26}(U_{29}^{(26,27)}(t)+U_{28}^{(26,25)}(t))\\sigma_{26}^{X} \\\\ & + \\Omega_{d,28}(U_{31}^{(28,35)}(t)+U_{30}^{(28,27)}(t))\\sigma_{28}^{X} + \\Omega_{d,29}(U_{32}^{(29,28)}(t))\\sigma_{29}^{X} \\\\ & + \\Omega_{d,30}(U_{33}^{(30,17)}(t)+U_{34}^{(30,29)}(t))\\sigma_{30}^{X} + \\Omega_{d,31}(U_{35}^{(31,30)}(t)+U_{36}^{(31,32)}(t))\\sigma_{31}^{X} \\\\ & + \\Omega_{d,34}(U_{38}^{(34,43)}(t)+U_{37}^{(34,24)}(t))\\sigma_{34}^{X} + \\Omega_{d,35}(U_{39}^{(35,47)}(t))\\sigma_{35}^{X} \\\\ & + \\Omega_{d,36}(U_{40}^{(36,32)}(t))\\sigma_{36}^{X} + \\Omega_{d,38}(U_{42}^{(38,39)}(t)+U_{41}^{(38,37)}(t))\\sigma_{38}^{X} \\\\ & + \\Omega_{d,39}(U_{44}^{(39,40)}(t)+U_{43}^{(39,33)}(t))\\sigma_{39}^{X} + \\Omega_{d,40}(U_{45}^{(40,41)}(t))\\sigma_{40}^{X} \\\\ & + \\Omega_{d,41}(U_{46}^{(41,42)}(t))\\sigma_{41}^{X} + \\Omega_{d,43}(U_{48}^{(43,44)}(t)+U_{47}^{(43,42)}(t))\\sigma_{43}^{X} \\\\ & + \\Omega_{d,44}(U_{49}^{(44,45)}(t))\\sigma_{44}^{X} + \\Omega_{d,46}(U_{50}^{(46,45)}(t))\\sigma_{46}^{X} \\\\ & + \\Omega_{d,47}(U_{51}^{(47,46)}(t))\\sigma_{47}^{X} + \\Omega_{d,48}(U_{53}^{(48,49)}(t)+U_{52}^{(48,47)}(t))\\sigma_{48}^{X} \\\\ & + \\Omega_{d,50}(U_{54}^{(50,49)}(t))\\sigma_{50}^{X} + \\Omega_{d,51}(U_{56}^{(51,50)}(t)+U_{55}^{(51,36)}(t))\\sigma_{51}^{X} \\\\ & + \\Omega_{d,52}(U_{58}^{(52,56)}(t)+U_{57}^{(52,37)}(t))\\sigma_{52}^{X} + \\Omega_{d,53}(U_{60}^{(53,60)}(t)+U_{59}^{(53,41)}(t))\\sigma_{53}^{X} \\\\ & + \\Omega_{d,54}(U_{62}^{(54,64)}(t)+U_{61}^{(54,45)}(t))\\sigma_{54}^{X} + \\Omega_{d,55}(U_{64}^{(55,68)}(t)+U_{63}^{(55,49)}(t))\\sigma_{55}^{X} \\\\ & + \\Omega_{d,57}(U_{65}^{(57,56)}(t))\\sigma_{57}^{X} + \\Omega_{d,58}(U_{67}^{(58,59)}(t)+U_{66}^{(58,57)}(t))\\sigma_{58}^{X} \\\\ & + \\Omega_{d,59}(U_{68}^{(59,60)}(t))\\sigma_{59}^{X} + \\Omega_{d,60}(U_{69}^{(60,61)}(t))\\sigma_{60}^{X} \\\\ & + \\Omega_{d,62}(U_{72}^{(62,72)}(t)+U_{71}^{(62,63)}(t)+U_{70}^{(62,61)}(t))\\sigma_{62}^{X} + \\Omega_{d,64}(U_{73}^{(64,63)}(t))\\sigma_{64}^{X} \\\\ & + \\Omega_{d,65}(U_{75}^{(65,66)}(t)+U_{74}^{(65,64)}(t))\\sigma_{65}^{X} + \\Omega_{d,66}(U_{77}^{(66,73)}(t)+U_{76}^{(66,67)}(t))\\sigma_{66}^{X} \\\\ & + \\Omega_{d,68}(U_{78}^{(68,67)}(t))\\sigma_{68}^{X} + \\Omega_{d,69}(U_{79}^{(69,68)}(t))\\sigma_{69}^{X} \\\\ & + \\Omega_{d,70}(U_{80}^{(70,69)}(t)+U_{81}^{(70,74)}(t))\\sigma_{70}^{X} + \\Omega_{d,71}(U_{83}^{(71,77)}(t)+U_{82}^{(71,58)}(t))\\sigma_{71}^{X} \\\\ & + \\Omega_{d,74}(U_{84}^{(74,89)}(t))\\sigma_{74}^{X} + \\Omega_{d,75}(U_{85}^{(75,76)}(t))\\sigma_{75}^{X} \\\\ & + \\Omega_{d,76}(U_{86}^{(76,77)}(t))\\sigma_{76}^{X} + \\Omega_{d,77}(U_{87}^{(77,78)}(t))\\sigma_{77}^{X} \\\\ & + \\Omega_{d,79}(U_{88}^{(79,78)}(t))\\sigma_{79}^{X} + \\Omega_{d,80}(U_{90}^{(80,81)}(t)+U_{89}^{(80,79)}(t))\\sigma_{80}^{X} \\\\ & + \\Omega_{d,81}(U_{91}^{(81,72)}(t))\\sigma_{81}^{X} + \\Omega_{d,82}(U_{92}^{(82,81)}(t)+U_{93}^{(82,83)}(t))\\sigma_{82}^{X} \\\\ & + \\Omega_{d,83}(U_{94}^{(83,84)}(t))\\sigma_{83}^{X} + \\Omega_{d,85}(U_{96}^{(85,84)}(t)+U_{97}^{(85,86)}(t)+U_{95}^{(85,73)}(t))\\sigma_{85}^{X} \\\\ & + \\Omega_{d,86}(U_{98}^{(86,87)}(t))\\sigma_{86}^{X} + \\Omega_{d,87}(U_{100}^{(87,93)}(t)+U_{99}^{(87,88)}(t))\\sigma_{87}^{X} \\\\ & + \\Omega_{d,89}(U_{101}^{(89,88)}(t))\\sigma_{89}^{X} + \\Omega_{d,90}(U_{102}^{(90,75)}(t))\\sigma_{90}^{X} \\\\ & + \\Omega_{d,91}(U_{104}^{(91,98)}(t)+U_{103}^{(91,79)}(t))\\sigma_{91}^{X} + \\Omega_{d,92}(U_{105}^{(92,83)}(t))\\sigma_{92}^{X} \\\\ & + \\Omega_{d,94}(U_{107}^{(94,95)}(t)+U_{106}^{(94,90)}(t))\\sigma_{94}^{X} + \\Omega_{d,96}(U_{109}^{(96,109)}(t)+U_{108}^{(96,95)}(t))\\sigma_{96}^{X} \\\\ & + \\Omega_{d,97}(U_{111}^{(97,98)}(t)+U_{110}^{(97,96)}(t))\\sigma_{97}^{X} + \\Omega_{d,98}(U_{112}^{(98,99)}(t))\\sigma_{98}^{X} \\\\ & + \\Omega_{d,100}(U_{113}^{(100,99)}(t)+U_{114}^{(100,110)}(t))\\sigma_{100}^{X} + \\Omega_{d,101}(U_{116}^{(101,102)}(t)+U_{115}^{(101,100)}(t))\\sigma_{101}^{X} \\\\ & + \\Omega_{d,102}(U_{117}^{(102,92)}(t))\\sigma_{102}^{X} + \\Omega_{d,103}(U_{119}^{(103,104)}(t)+U_{118}^{(103,102)}(t))\\sigma_{103}^{X} \\\\ & + \\Omega_{d,104}(U_{120}^{(104,105)}(t))\\sigma_{104}^{X} + \\Omega_{d,106}(U_{121}^{(106,93)}(t)+U_{123}^{(106,107)}(t)+U_{122}^{(106,105)}(t))\\sigma_{106}^{X} \\\\ & + \\Omega_{d,108}(U_{124}^{(108,107)}(t)+U_{125}^{(108,112)}(t))\\sigma_{108}^{X} + \\Omega_{d,109}(U_{126}^{(109,114)}(t))\\sigma_{109}^{X} \\\\ & + \\Omega_{d,110}(U_{127}^{(110,118)}(t))\\sigma_{110}^{X} + \\Omega_{d,111}(U_{128}^{(111,104)}(t))\\sigma_{111}^{X} \\\\ & + \\Omega_{d,114}(U_{129}^{(114,113)}(t))\\sigma_{114}^{X} + \\Omega_{d,115}(U_{130}^{(115,114)}(t)+U_{131}^{(115,116)}(t))\\sigma_{115}^{X} \\\\ & + \\Omega_{d,116}(U_{132}^{(116,117)}(t))\\sigma_{116}^{X} + \\Omega_{d,118}(U_{134}^{(118,119)}(t)+U_{133}^{(118,117)}(t))\\sigma_{118}^{X} \\\\ & + \\Omega_{d,120}(U_{135}^{(120,119)}(t))\\sigma_{120}^{X} + \\Omega_{d,121}(U_{136}^{(121,120)}(t))\\sigma_{121}^{X} \\\\ & + \\Omega_{d,122}(U_{137}^{(122,111)}(t)+U_{138}^{(122,121)}(t))\\sigma_{122}^{X} + \\Omega_{d,123}(U_{140}^{(123,124)}(t)+U_{139}^{(123,122)}(t))\\sigma_{123}^{X} \\\\ & + \\Omega_{d,124}(U_{141}^{(124,125)}(t))\\sigma_{124}^{X} + \\Omega_{d,126}(U_{142}^{(126,112)}(t)+U_{143}^{(126,125)}(t))\\sigma_{126}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,126,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,126,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,126,-delta{i}/2*O{i}]", "_SUM[i,0,126,omegad{i}*X{i}||D{i}]", "jq62q72*Sp62*Sm72", "jq62q72*Sm62*Sp72", "jq67q68*Sp67*Sm68", "jq67q68*Sm67*Sp68", "jq44q45*Sp44*Sm45", "jq44q45*Sm44*Sp45", "jq99q100*Sp99*Sm100", "jq99q100*Sm99*Sp100", "jq108q112*Sp108*Sm112", "jq108q112*Sm108*Sp112", "jq8q9*Sp8*Sm9", "jq8q9*Sm8*Sp9", "jq40q41*Sp40*Sm41", "jq40q41*Sm40*Sp41", "jq0q14*Sp0*Sm14", "jq0q14*Sm0*Sp14", "jq17q30*Sp17*Sm30", "jq17q30*Sm17*Sp30", "jq100q101*Sp100*Sm101", "jq100q101*Sm100*Sp101", "jq91q98*Sp91*Sm98", "jq91q98*Sm91*Sp98", "jq100q110*Sp100*Sm110", "jq100q110*Sm100*Sp110", "jq75q90*Sp75*Sm90", "jq75q90*Sm75*Sp90", "jq41q42*Sp41*Sm42", "jq41q42*Sm41*Sp42", "jq96q97*Sp96*Sm97", "jq96q97*Sm96*Sp97", "jq18q19*Sp18*Sm19", "jq18q19*Sm18*Sp19", "jq55q68*Sp55*Sm68", "jq55q68*Sm55*Sp68", "jq9q10*Sp9*Sm10", "jq9q10*Sm9*Sp10", "jq49q55*Sp49*Sm55", "jq49q55*Sm49*Sp55", "jq106q107*Sp106*Sm107", "jq106q107*Sm106*Sp107", "jq47q48*Sp47*Sm48", "jq47q48*Sm47*Sp48", "jq42q43*Sp42*Sm43", "jq42q43*Sm42*Sp43", "jq107q108*Sp107*Sm108", "jq107q108*Sm107*Sp108", "jq73q85*Sp73*Sm85", "jq73q85*Sm73*Sp85", "jq38q39*Sp38*Sm39", "jq38q39*Sm38*Sp39", "jq20q33*Sp20*Sm33", "jq20q33*Sm20*Sp33", "jq48q49*Sp48*Sm49", "jq48q49*Sm48*Sp49", "jq103q104*Sp103*Sm104", "jq103q104*Sm103*Sp104", "jq80q81*Sp80*Sm81", "jq80q81*Sm80*Sp81", "jq75q76*Sp75*Sm76", "jq75q76*Sm75*Sp76", "jq66q73*Sp66*Sm73", "jq66q73*Sm66*Sp73", "jq85q86*Sp85*Sm86", "jq85q86*Sm85*Sp86", "jq110q118*Sp110*Sm118", "jq110q118*Sm110*Sp118", "jq81q82*Sp81*Sm82", "jq81q82*Sm81*Sp82", "jq16q26*Sp16*Sm26", "jq16q26*Sm16*Sp26", "jq90q94*Sp90*Sm94", "jq90q94*Sm90*Sp94", "jq118q119*Sp118*Sm119", "jq118q119*Sm118*Sp119", "jq12q13*Sp12*Sm13", "jq12q13*Sm12*Sp13", "jq77q78*Sp77*Sm78", "jq77q78*Sm77*Sp78", "jq22q23*Sp22*Sm23", "jq22q23*Sm22*Sp23", "jq49q50*Sp49*Sm50", "jq49q50*Sm49*Sp50", "jq104q105*Sp104*Sm105", "jq104q105*Sm104*Sp105", "jq114q115*Sp114*Sm115", "jq114q115*Sm114*Sp115", "jq45q46*Sp45*Sm46", "jq45q46*Sm45*Sp46", "jq50q51*Sp50*Sm51", "jq50q51*Sm50*Sp51", "jq105q106*Sp105*Sm106", "jq105q106*Sm105*Sp106", "jq72q81*Sp72*Sm81", "jq72q81*Sm72*Sp81", "jq82q83*Sp82*Sm83", "jq82q83*Sm82*Sp83", "jq46q47*Sp46*Sm47", "jq46q47*Sm46*Sp47", "jq23q24*Sp23*Sm24", "jq23q24*Sm23*Sp24", "jq78q79*Sp78*Sm79", "jq78q79*Sm78*Sp79", "jq83q84*Sp83*Sm84", "jq83q84*Sm83*Sp84", "jq115q116*Sp115*Sm116", "jq115q116*Sm115*Sp116", "jq19q20*Sp19*Sm20", "jq19q20*Sm19*Sp20", 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"jq34q43*Sp34*Sm43", "jq34q43*Sm34*Sp43", "jq119q120*Sp119*Sm120", "jq119q120*Sm119*Sp120", "jq64q65*Sp64*Sm65", "jq64q65*Sm64*Sp65", "jq54q64*Sp54*Sm64", "jq54q64*Sm54*Sp64", "jq32q36*Sp32*Sm36", "jq32q36*Sm32*Sp36", "jq5q6*Sp5*Sm6", "jq5q6*Sm5*Sp6", "jq60q61*Sp60*Sm61", "jq60q61*Sm60*Sp61", "jq14q18*Sp14*Sm18", "jq14q18*Sm14*Sp18", "jq87q88*Sp87*Sm88", "jq87q88*Sm87*Sp88", "jq97q98*Sp97*Sm98", "jq97q98*Sm97*Sp98", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "jq112q126*Sp112*Sm126", "jq112q126*Sm112*Sp126", "jq28q29*Sp28*Sm29", "jq28q29*Sm28*Sp29", "jq45q54*Sp45*Sm54", "jq45q54*Sm45*Sp54", "jq36q51*Sp36*Sm51", "jq36q51*Sm36*Sp51", "jq88q89*Sp88*Sm89", "jq88q89*Sm88*Sp89", "jq120q121*Sp120*Sm121", "jq120q121*Sm120*Sp121", "jq15q22*Sp15*Sm22", "jq15q22*Sm15*Sp22", "jq24q34*Sp24*Sm34", "jq24q34*Sm24*Sp34", "jq84q85*Sp84*Sm85", "jq84q85*Sm84*Sp85", "jq29q30*Sp29*Sm30", "jq29q30*Sm29*Sp30", "jq61q62*Sp61*Sm62", "jq61q62*Sm61*Sp62", "jq70q74*Sp70*Sm74", "jq70q74*Sm70*Sp74", "jq121q122*Sp121*Sm122", "jq121q122*Sm121*Sp122", "jq2q3*Sp2*Sm3", "jq2q3*Sm2*Sp3", "jq122q123*Sp122*Sm123", "jq122q123*Sm122*Sp123", "jq117q118*Sp117*Sm118", "jq117q118*Sm117*Sp118", "jq62q63*Sp62*Sm63", "jq62q63*Sm62*Sp63", "jq94q95*Sp94*Sm95", "jq94q95*Sm94*Sp95", "jq109q114*Sp109*Sm114", "jq109q114*Sm109*Sp114", "jq37q52*Sp37*Sm52", "jq37q52*Sm37*Sp52", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq58q59*Sp58*Sm59", "jq58q59*Sm58*Sp59", "jq33q39*Sp33*Sm39", "jq33q39*Sm33*Sp39", "jq95q96*Sp95*Sm96", "jq95q96*Sm95*Sp96", "jq68q69*Sp68*Sm69", "jq68q69*Sm68*Sp69", "jq63q64*Sp63*Sm64", "jq63q64*Sm63*Sp64", "jq71q77*Sp71*Sm77", "jq71q77*Sm71*Sp77", "jq111q122*Sp111*Sm122", "jq111q122*Sm111*Sp122", "jq4q5*Sp4*Sm5", "jq4q5*Sm4*Sp5", "jq59q60*Sp59*Sm60", "jq59q60*Sm59*Sp60", "jq96q109*Sp96*Sm109", "jq96q109*Sm96*Sp109", "jq124q125*Sp124*Sm125", "jq124q125*Sm124*Sp125", "jq69q70*Sp69*Sm70", "jq69q70*Sm69*Sp70", "jq35q47*Sp35*Sm47", "jq35q47*Sm35*Sp47", "jq101q102*Sp101*Sm102", "jq101q102*Sm101*Sp102", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq65q66*Sp65*Sm66", "jq65q66*Sm65*Sp66", "jq10q11*Sp10*Sm11", "jq10q11*Sm10*Sp11", "jq37q38*Sp37*Sm38", "jq37q38*Sm37*Sp38", "jq28q35*Sp28*Sm35", "jq28q35*Sm28*Sp35", "jq102q103*Sp102*Sm103", "jq102q103*Sm102*Sp103", "jq92q102*Sp92*Sm102", "jq92q102*Sm92*Sp102", "jq6q7*Sp6*Sm7", "jq6q7*Sm6*Sp7", "jq43q44*Sp43*Sm44", "jq43q44*Sm43*Sp44", "jq98q99*Sp98*Sm99", "jq98q99*Sm98*Sp99", "jq52q56*Sp52*Sm56", "jq52q56*Sm52*Sp56", "jq125q126*Sp125*Sm126", "jq125q126*Sm125*Sp126", "jq39q40*Sp39*Sm40", "jq39q40*Sm39*Sp40", "jq8q16*Sp8*Sm16", "jq8q16*Sm8*Sp16", "jq11q12*Sp11*Sm12", "jq11q12*Sm11*Sp12", "jq66q67*Sp66*Sm67", "jq66q67*Sm66*Sp67", "jq76q77*Sp76*Sm77", "jq76q77*Sm76*Sp77", "jq83q92*Sp83*Sm92", "jq83q92*Sm83*Sp92", "jq74q89*Sp74*Sm89", "jq74q89*Sm74*Sp89", "jq7q8*Sp7*Sm8", "jq7q8*Sm7*Sp8", "jq53q60*Sp53*Sm60", "jq53q60*Sm53*Sp60", "omegad0*X1||U0", "omegad1*X2||U1", "omegad4*X3||U3", "omegad2*X3||U2", "omegad15*X4||U4", "omegad6*X5||U6", "omegad4*X5||U5", "omegad7*X6||U7", "omegad8*X7||U8", "omegad16*X8||U9", "omegad10*X9||U11", "omegad8*X9||U10", "omegad10*X11||U12", "omegad12*X11||U13", "omegad12*X13||U14", "omegad0*X14||U15", "omegad18*X14||U16", "omegad26*X16||U17", "omegad12*X17||U18", "omegad18*X19||U19", "omegad20*X19||U20", "omegad33*X20||U21", "omegad22*X21||U23", "omegad20*X21||U22", "omegad15*X22||U24", "omegad22*X23||U25", "omegad23*X24||U26", "omegad24*X25||U27", "omegad27*X26||U29", "omegad25*X26||U28", "omegad35*X28||U31", "omegad27*X28||U30", "omegad28*X29||U32", "omegad17*X30||U33", "omegad29*X30||U34", "omegad30*X31||U35", "omegad32*X31||U36", "omegad43*X34||U38", "omegad24*X34||U37", "omegad47*X35||U39", "omegad32*X36||U40", "omegad39*X38||U42", "omegad37*X38||U41", "omegad40*X39||U44", "omegad33*X39||U43", "omegad41*X40||U45", "omegad42*X41||U46", "omegad44*X43||U48", "omegad42*X43||U47", "omegad45*X44||U49", "omegad45*X46||U50", "omegad46*X47||U51", "omegad49*X48||U53", "omegad47*X48||U52", "omegad49*X50||U54", "omegad50*X51||U56", "omegad36*X51||U55", "omegad56*X52||U58", "omegad37*X52||U57", "omegad60*X53||U60", "omegad41*X53||U59", "omegad64*X54||U62", "omegad45*X54||U61", "omegad68*X55||U64", "omegad49*X55||U63", "omegad56*X57||U65", "omegad59*X58||U67", "omegad57*X58||U66", "omegad60*X59||U68", "omegad61*X60||U69", "omegad72*X62||U72", "omegad63*X62||U71", "omegad61*X62||U70", "omegad63*X64||U73", "omegad66*X65||U75", "omegad64*X65||U74", "omegad73*X66||U77", "omegad67*X66||U76", "omegad67*X68||U78", "omegad68*X69||U79", "omegad69*X70||U80", "omegad74*X70||U81", "omegad77*X71||U83", "omegad58*X71||U82", "omegad89*X74||U84", "omegad76*X75||U85", "omegad77*X76||U86", "omegad78*X77||U87", "omegad78*X79||U88", "omegad81*X80||U90", "omegad79*X80||U89", "omegad72*X81||U91", "omegad81*X82||U92", "omegad83*X82||U93", "omegad84*X83||U94", "omegad84*X85||U96", "omegad86*X85||U97", "omegad73*X85||U95", "omegad87*X86||U98", "omegad93*X87||U100", "omegad88*X87||U99", "omegad88*X89||U101", "omegad75*X90||U102", "omegad98*X91||U104", "omegad79*X91||U103", "omegad83*X92||U105", "omegad95*X94||U107", "omegad90*X94||U106", "omegad109*X96||U109", "omegad95*X96||U108", "omegad98*X97||U111", "omegad96*X97||U110", "omegad99*X98||U112", "omegad99*X100||U113", "omegad110*X100||U114", "omegad102*X101||U116", "omegad100*X101||U115", "omegad92*X102||U117", "omegad104*X103||U119", "omegad102*X103||U118", "omegad105*X104||U120", "omegad93*X106||U121", "omegad107*X106||U123", "omegad105*X106||U122", "omegad107*X108||U124", "omegad112*X108||U125", "omegad114*X109||U126", "omegad118*X110||U127", "omegad104*X111||U128", "omegad113*X114||U129", "omegad114*X115||U130", "omegad116*X115||U131", "omegad117*X116||U132", "omegad119*X118||U134", "omegad117*X118||U133", "omegad119*X120||U135", "omegad120*X121||U136", "omegad111*X122||U137", "omegad121*X122||U138", "omegad124*X123||U140", "omegad122*X123||U139", "omegad125*X124||U141", "omegad112*X126||U142", "omegad125*X126||U143"], "osc": {}, 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"m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m30": {"operates": {"qubits": [30]}, "purpose": "measure", "type": "measure"}, "m31": {"operates": {"qubits": [31]}, "purpose": "measure", "type": "measure"}, "m32": {"operates": {"qubits": [32]}, "purpose": "measure", "type": "measure"}, "m33": {"operates": {"qubits": [33]}, "purpose": "measure", "type": "measure"}, "m34": {"operates": {"qubits": [34]}, "purpose": "measure", "type": "measure"}, "m35": {"operates": {"qubits": [35]}, "purpose": "measure", "type": "measure"}, "m36": {"operates": {"qubits": [36]}, "purpose": "measure", "type": "measure"}, "m37": {"operates": {"qubits": [37]}, "purpose": "measure", "type": "measure"}, "m38": {"operates": {"qubits": [38]}, "purpose": "measure", "type": "measure"}, "m39": {"operates": {"qubits": [39]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "m40": {"operates": {"qubits": [40]}, "purpose": "measure", "type": "measure"}, "m41": {"operates": {"qubits": [41]}, "purpose": "measure", "type": "measure"}, "m42": {"operates": {"qubits": [42]}, "purpose": "measure", "type": "measure"}, "m43": {"operates": {"qubits": [43]}, "purpose": "measure", "type": "measure"}, "m44": {"operates": {"qubits": [44]}, "purpose": "measure", "type": "measure"}, "m45": {"operates": {"qubits": [45]}, "purpose": "measure", "type": "measure"}, "m46": {"operates": {"qubits": [46]}, "purpose": "measure", "type": "measure"}, "m47": {"operates": {"qubits": [47]}, "purpose": "measure", "type": "measure"}, "m48": {"operates": {"qubits": [48]}, "purpose": "measure", "type": "measure"}, "m49": {"operates": {"qubits": [49]}, "purpose": "measure", "type": "measure"}, "m5": {"operates": {"qubits": [5]}, "purpose": "measure", "type": "measure"}, "m50": {"operates": {"qubits": [50]}, "purpose": "measure", "type": "measure"}, "m51": {"operates": {"qubits": [51]}, "purpose": "measure", "type": "measure"}, "m52": {"operates": {"qubits": [52]}, "purpose": "measure", "type": "measure"}, "m53": {"operates": {"qubits": [53]}, "purpose": "measure", "type": "measure"}, "m54": {"operates": {"qubits": [54]}, "purpose": "measure", "type": "measure"}, "m55": {"operates": {"qubits": [55]}, "purpose": "measure", "type": "measure"}, "m56": {"operates": {"qubits": [56]}, "purpose": "measure", "type": "measure"}, "m57": {"operates": {"qubits": [57]}, "purpose": "measure", "type": "measure"}, "m58": {"operates": {"qubits": [58]}, "purpose": "measure", "type": "measure"}, "m59": {"operates": {"qubits": [59]}, "purpose": "measure", "type": "measure"}, "m6": {"operates": {"qubits": [6]}, "purpose": "measure", "type": "measure"}, "m60": {"operates": {"qubits": [60]}, "purpose": "measure", "type": "measure"}, "m61": {"operates": {"qubits": [61]}, "purpose": "measure", "type": "measure"}, "m62": {"operates": {"qubits": [62]}, "purpose": "measure", "type": "measure"}, "m63": {"operates": {"qubits": [63]}, "purpose": "measure", "type": "measure"}, "m64": {"operates": {"qubits": [64]}, "purpose": "measure", "type": "measure"}, "m65": {"operates": {"qubits": [65]}, "purpose": "measure", "type": "measure"}, "m66": {"operates": {"qubits": [66]}, "purpose": "measure", "type": "measure"}, "m67": {"operates": {"qubits": [67]}, "purpose": "measure", "type": "measure"}, "m68": {"operates": {"qubits": [68]}, "purpose": "measure", "type": "measure"}, "m69": {"operates": {"qubits": [69]}, "purpose": "measure", "type": "measure"}, "m7": {"operates": {"qubits": [7]}, "purpose": "measure", "type": "measure"}, "m70": {"operates": {"qubits": [70]}, "purpose": "measure", "type": "measure"}, "m71": {"operates": {"qubits": [71]}, "purpose": "measure", "type": "measure"}, "m72": {"operates": {"qubits": [72]}, "purpose": "measure", "type": "measure"}, "m73": {"operates": {"qubits": [73]}, "purpose": "measure", "type": "measure"}, "m74": {"operates": {"qubits": [74]}, "purpose": "measure", "type": "measure"}, "m75": {"operates": {"qubits": [75]}, "purpose": "measure", "type": "measure"}, "m76": {"operates": {"qubits": [76]}, "purpose": "measure", "type": "measure"}, "m77": {"operates": {"qubits": [77]}, "purpose": "measure", "type": "measure"}, "m78": {"operates": {"qubits": [78]}, "purpose": "measure", "type": "measure"}, "m79": {"operates": {"qubits": [79]}, "purpose": "measure", "type": "measure"}, "m8": {"operates": {"qubits": [8]}, "purpose": "measure", "type": "measure"}, "m80": {"operates": {"qubits": [80]}, "purpose": "measure", "type": "measure"}, "m81": {"operates": {"qubits": [81]}, "purpose": "measure", "type": "measure"}, "m82": {"operates": {"qubits": [82]}, "purpose": "measure", "type": "measure"}, "m83": {"operates": {"qubits": [83]}, "purpose": "measure", "type": "measure"}, "m84": {"operates": {"qubits": [84]}, "purpose": "measure", "type": "measure"}, "m85": {"operates": {"qubits": [85]}, "purpose": "measure", "type": "measure"}, "m86": {"operates": {"qubits": [86]}, "purpose": "measure", "type": "measure"}, "m87": {"operates": {"qubits": [87]}, "purpose": "measure", "type": "measure"}, "m88": {"operates": {"qubits": [88]}, "purpose": "measure", "type": "measure"}, "m89": {"operates": {"qubits": [89]}, "purpose": "measure", "type": "measure"}, "m9": {"operates": {"qubits": [9]}, "purpose": "measure", "type": "measure"}, "m90": {"operates": {"qubits": [90]}, "purpose": "measure", "type": "measure"}, "m91": {"operates": {"qubits": [91]}, "purpose": "measure", "type": "measure"}, "m92": {"operates": {"qubits": [92]}, "purpose": "measure", "type": "measure"}, "m93": {"operates": {"qubits": [93]}, "purpose": "measure", "type": "measure"}, "m94": {"operates": {"qubits": [94]}, "purpose": "measure", "type": "measure"}, "m95": {"operates": {"qubits": [95]}, "purpose": "measure", "type": "measure"}, "m96": {"operates": {"qubits": [96]}, "purpose": "measure", "type": "measure"}, "m97": {"operates": {"qubits": [97]}, "purpose": "measure", "type": "measure"}, "m98": {"operates": {"qubits": [98]}, "purpose": "measure", "type": "measure"}, "m99": {"operates": {"qubits": [99]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u10": {"operates": {"qubits": [9, 8]}, "purpose": "cross-resonance", "type": "control"}, "u100": {"operates": {"qubits": [87, 93]}, "purpose": "cross-resonance", "type": "control"}, "u101": {"operates": {"qubits": [89, 88]}, "purpose": "cross-resonance", "type": "control"}, "u102": {"operates": {"qubits": [90, 75]}, "purpose": "cross-resonance", "type": "control"}, "u103": {"operates": {"qubits": [91, 79]}, "purpose": "cross-resonance", "type": "control"}, "u104": {"operates": {"qubits": [91, 98]}, "purpose": "cross-resonance", "type": "control"}, "u105": {"operates": {"qubits": [92, 83]}, "purpose": "cross-resonance", "type": "control"}, "u106": {"operates": {"qubits": [94, 90]}, "purpose": "cross-resonance", "type": "control"}, "u107": {"operates": {"qubits": [94, 95]}, "purpose": "cross-resonance", "type": "control"}, "u108": {"operates": {"qubits": [96, 95]}, "purpose": "cross-resonance", "type": "control"}, "u109": {"operates": {"qubits": [96, 109]}, "purpose": "cross-resonance", "type": "control"}, "u11": {"operates": {"qubits": [9, 10]}, "purpose": "cross-resonance", "type": "control"}, "u110": {"operates": {"qubits": [97, 96]}, "purpose": "cross-resonance", "type": "control"}, "u111": {"operates": {"qubits": [97, 98]}, "purpose": "cross-resonance", "type": "control"}, "u112": {"operates": {"qubits": [98, 99]}, "purpose": "cross-resonance", "type": "control"}, "u113": {"operates": {"qubits": [100, 99]}, "purpose": "cross-resonance", "type": "control"}, "u114": {"operates": {"qubits": [100, 110]}, "purpose": "cross-resonance", "type": "control"}, "u115": {"operates": {"qubits": [101, 100]}, "purpose": "cross-resonance", "type": "control"}, "u116": {"operates": {"qubits": [101, 102]}, "purpose": "cross-resonance", "type": "control"}, "u117": {"operates": {"qubits": [102, 92]}, "purpose": "cross-resonance", "type": "control"}, "u118": {"operates": {"qubits": [103, 102]}, "purpose": "cross-resonance", "type": "control"}, "u119": {"operates": {"qubits": [103, 104]}, "purpose": "cross-resonance", "type": "control"}, "u12": {"operates": {"qubits": [11, 10]}, "purpose": "cross-resonance", "type": "control"}, "u120": {"operates": {"qubits": [104, 105]}, "purpose": "cross-resonance", "type": "control"}, "u121": {"operates": {"qubits": [106, 93]}, "purpose": "cross-resonance", "type": "control"}, "u122": {"operates": {"qubits": [106, 105]}, "purpose": "cross-resonance", "type": "control"}, "u123": {"operates": {"qubits": [106, 107]}, "purpose": "cross-resonance", "type": "control"}, "u124": {"operates": {"qubits": [108, 107]}, "purpose": "cross-resonance", "type": "control"}, "u125": {"operates": {"qubits": [108, 112]}, "purpose": "cross-resonance", "type": "control"}, "u126": {"operates": {"qubits": [109, 114]}, "purpose": "cross-resonance", "type": "control"}, "u127": {"operates": {"qubits": [110, 118]}, "purpose": "cross-resonance", "type": "control"}, "u128": {"operates": {"qubits": [111, 104]}, "purpose": "cross-resonance", "type": "control"}, "u129": {"operates": {"qubits": [114, 113]}, "purpose": "cross-resonance", "type": "control"}, "u13": {"operates": {"qubits": [11, 12]}, "purpose": "cross-resonance", "type": "control"}, "u130": {"operates": {"qubits": [115, 114]}, "purpose": "cross-resonance", "type": "control"}, "u131": {"operates": {"qubits": [115, 116]}, "purpose": "cross-resonance", "type": "control"}, "u132": {"operates": {"qubits": [116, 117]}, "purpose": "cross-resonance", "type": "control"}, "u133": {"operates": {"qubits": [118, 117]}, "purpose": "cross-resonance", "type": "control"}, "u134": {"operates": {"qubits": [118, 119]}, "purpose": "cross-resonance", "type": "control"}, "u135": {"operates": {"qubits": [120, 119]}, "purpose": "cross-resonance", "type": "control"}, "u136": {"operates": {"qubits": [121, 120]}, "purpose": "cross-resonance", "type": "control"}, "u137": {"operates": {"qubits": [122, 111]}, "purpose": "cross-resonance", "type": "control"}, "u138": {"operates": {"qubits": [122, 121]}, "purpose": "cross-resonance", "type": "control"}, "u139": {"operates": {"qubits": [123, 122]}, "purpose": "cross-resonance", "type": "control"}, "u14": {"operates": {"qubits": [13, 12]}, "purpose": "cross-resonance", "type": "control"}, "u140": {"operates": {"qubits": [123, 124]}, "purpose": "cross-resonance", "type": "control"}, "u141": {"operates": {"qubits": [124, 125]}, "purpose": "cross-resonance", "type": "control"}, "u142": {"operates": {"qubits": [126, 112]}, "purpose": "cross-resonance", "type": "control"}, "u143": {"operates": {"qubits": [126, 125]}, "purpose": "cross-resonance", "type": "control"}, "u15": {"operates": {"qubits": [14, 0]}, "purpose": "cross-resonance", "type": "control"}, "u16": {"operates": {"qubits": [14, 18]}, "purpose": "cross-resonance", "type": "control"}, "u17": {"operates": {"qubits": [16, 26]}, "purpose": "cross-resonance", "type": "control"}, "u18": {"operates": {"qubits": [17, 12]}, "purpose": "cross-resonance", "type": "control"}, "u19": {"operates": {"qubits": [19, 18]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [3, 2]}, "purpose": "cross-resonance", "type": "control"}, "u20": {"operates": {"qubits": [19, 20]}, "purpose": "cross-resonance", "type": "control"}, "u21": {"operates": {"qubits": [20, 33]}, "purpose": "cross-resonance", "type": "control"}, "u22": {"operates": {"qubits": [21, 20]}, "purpose": "cross-resonance", "type": "control"}, "u23": {"operates": {"qubits": [21, 22]}, "purpose": "cross-resonance", "type": "control"}, "u24": {"operates": {"qubits": [22, 15]}, "purpose": "cross-resonance", "type": "control"}, "u25": {"operates": {"qubits": [23, 22]}, "purpose": "cross-resonance", "type": "control"}, "u26": {"operates": {"qubits": [24, 23]}, "purpose": "cross-resonance", "type": "control"}, "u27": {"operates": {"qubits": [25, 24]}, "purpose": "cross-resonance", "type": "control"}, "u28": {"operates": {"qubits": [26, 25]}, "purpose": "cross-resonance", "type": "control"}, "u29": {"operates": {"qubits": [26, 27]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u30": {"operates": {"qubits": [28, 27]}, "purpose": "cross-resonance", "type": "control"}, "u31": {"operates": {"qubits": [28, 35]}, "purpose": "cross-resonance", "type": "control"}, "u32": {"operates": {"qubits": [29, 28]}, "purpose": "cross-resonance", "type": "control"}, "u33": {"operates": {"qubits": [30, 17]}, "purpose": "cross-resonance", "type": "control"}, "u34": {"operates": {"qubits": [30, 29]}, "purpose": "cross-resonance", "type": "control"}, "u35": {"operates": {"qubits": [31, 30]}, "purpose": "cross-resonance", "type": "control"}, "u36": {"operates": {"qubits": [31, 32]}, "purpose": "cross-resonance", "type": "control"}, "u37": {"operates": {"qubits": [34, 24]}, "purpose": "cross-resonance", "type": "control"}, "u38": {"operates": {"qubits": [34, 43]}, "purpose": "cross-resonance", "type": "control"}, "u39": {"operates": {"qubits": [35, 47]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [4, 15]}, "purpose": "cross-resonance", "type": "control"}, "u40": {"operates": {"qubits": [36, 32]}, "purpose": "cross-resonance", "type": "control"}, "u41": {"operates": {"qubits": [38, 37]}, "purpose": "cross-resonance", "type": "control"}, "u42": {"operates": {"qubits": [38, 39]}, "purpose": "cross-resonance", "type": "control"}, "u43": {"operates": {"qubits": [39, 33]}, "purpose": "cross-resonance", "type": "control"}, "u44": {"operates": {"qubits": [39, 40]}, "purpose": "cross-resonance", "type": "control"}, "u45": {"operates": {"qubits": [40, 41]}, "purpose": "cross-resonance", "type": "control"}, "u46": {"operates": {"qubits": [41, 42]}, "purpose": "cross-resonance", "type": "control"}, "u47": {"operates": {"qubits": [43, 42]}, "purpose": "cross-resonance", "type": "control"}, "u48": {"operates": {"qubits": [43, 44]}, "purpose": "cross-resonance", "type": "control"}, "u49": {"operates": {"qubits": [44, 45]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [5, 4]}, "purpose": "cross-resonance", "type": "control"}, "u50": {"operates": {"qubits": [46, 45]}, "purpose": "cross-resonance", "type": "control"}, "u51": {"operates": {"qubits": [47, 46]}, "purpose": "cross-resonance", "type": "control"}, "u52": {"operates": {"qubits": [48, 47]}, "purpose": "cross-resonance", "type": "control"}, "u53": {"operates": {"qubits": [48, 49]}, "purpose": "cross-resonance", "type": "control"}, "u54": {"operates": {"qubits": [50, 49]}, "purpose": "cross-resonance", "type": "control"}, "u55": {"operates": {"qubits": [51, 36]}, "purpose": "cross-resonance", "type": "control"}, "u56": {"operates": {"qubits": [51, 50]}, "purpose": "cross-resonance", "type": "control"}, "u57": {"operates": {"qubits": [52, 37]}, "purpose": "cross-resonance", "type": "control"}, "u58": {"operates": {"qubits": [52, 56]}, "purpose": "cross-resonance", "type": "control"}, "u59": {"operates": {"qubits": [53, 41]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [5, 6]}, "purpose": "cross-resonance", "type": "control"}, "u60": {"operates": {"qubits": [53, 60]}, "purpose": "cross-resonance", "type": "control"}, "u61": {"operates": {"qubits": [54, 45]}, "purpose": "cross-resonance", "type": "control"}, "u62": {"operates": {"qubits": [54, 64]}, "purpose": "cross-resonance", "type": "control"}, "u63": {"operates": {"qubits": [55, 49]}, "purpose": "cross-resonance", "type": "control"}, "u64": {"operates": {"qubits": [55, 68]}, "purpose": "cross-resonance", "type": "control"}, "u65": {"operates": {"qubits": [57, 56]}, "purpose": "cross-resonance", "type": "control"}, "u66": {"operates": {"qubits": [58, 57]}, "purpose": "cross-resonance", "type": "control"}, "u67": {"operates": {"qubits": [58, 59]}, "purpose": "cross-resonance", "type": "control"}, "u68": {"operates": {"qubits": [59, 60]}, "purpose": "cross-resonance", "type": "control"}, "u69": {"operates": {"qubits": [60, 61]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [6, 7]}, "purpose": "cross-resonance", "type": "control"}, "u70": {"operates": {"qubits": [62, 61]}, "purpose": "cross-resonance", "type": "control"}, "u71": {"operates": {"qubits": [62, 63]}, "purpose": "cross-resonance", "type": "control"}, "u72": {"operates": {"qubits": [62, 72]}, "purpose": "cross-resonance", "type": "control"}, "u73": {"operates": {"qubits": [64, 63]}, "purpose": "cross-resonance", "type": "control"}, "u74": {"operates": {"qubits": [65, 64]}, "purpose": "cross-resonance", "type": "control"}, "u75": {"operates": {"qubits": [65, 66]}, "purpose": "cross-resonance", "type": "control"}, "u76": {"operates": {"qubits": [66, 67]}, "purpose": "cross-resonance", "type": "control"}, "u77": {"operates": {"qubits": [66, 73]}, "purpose": "cross-resonance", "type": "control"}, "u78": {"operates": {"qubits": [68, 67]}, "purpose": "cross-resonance", "type": "control"}, "u79": {"operates": {"qubits": [69, 68]}, "purpose": "cross-resonance", "type": "control"}, "u8": {"operates": {"qubits": [7, 8]}, "purpose": "cross-resonance", "type": "control"}, "u80": {"operates": {"qubits": [70, 69]}, "purpose": "cross-resonance", "type": "control"}, "u81": {"operates": {"qubits": [70, 74]}, "purpose": "cross-resonance", "type": "control"}, "u82": {"operates": {"qubits": [71, 58]}, "purpose": "cross-resonance", "type": "control"}, "u83": {"operates": {"qubits": [71, 77]}, "purpose": "cross-resonance", "type": "control"}, "u84": {"operates": {"qubits": [74, 89]}, "purpose": "cross-resonance", "type": "control"}, "u85": {"operates": {"qubits": [75, 76]}, "purpose": "cross-resonance", "type": "control"}, "u86": {"operates": {"qubits": [76, 77]}, "purpose": "cross-resonance", "type": "control"}, "u87": {"operates": {"qubits": [77, 78]}, "purpose": "cross-resonance", "type": "control"}, "u88": {"operates": {"qubits": [79, 78]}, "purpose": "cross-resonance", "type": "control"}, "u89": {"operates": {"qubits": [80, 79]}, "purpose": "cross-resonance", "type": "control"}, "u9": {"operates": {"qubits": [8, 16]}, "purpose": "cross-resonance", "type": "control"}, "u90": {"operates": {"qubits": [80, 81]}, "purpose": "cross-resonance", "type": "control"}, "u91": {"operates": {"qubits": [81, 72]}, "purpose": "cross-resonance", "type": "control"}, "u92": {"operates": {"qubits": [82, 81]}, "purpose": "cross-resonance", "type": "control"}, "u93": {"operates": {"qubits": [82, 83]}, "purpose": "cross-resonance", "type": "control"}, "u94": {"operates": {"qubits": [83, 84]}, "purpose": "cross-resonance", "type": "control"}, "u95": {"operates": {"qubits": [85, 73]}, "purpose": "cross-resonance", "type": "control"}, "u96": {"operates": {"qubits": [85, 84]}, "purpose": "cross-resonance", "type": "control"}, "u97": {"operates": {"qubits": [85, 86]}, "purpose": "cross-resonance", "type": "control"}, "u98": {"operates": {"qubits": [86, 87]}, "purpose": "cross-resonance", "type": "control"}, "u99": {"operates": {"qubits": [87, 88]}, "purpose": "cross-resonance", "type": "control"}}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/quebec/defs_quebec.json b/qiskit_ibm_runtime/fake_provider/backends/quebec/defs_quebec.json
new file mode 100644
index 000000000..d46e45d08
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/quebec/defs_quebec.json
@@ -0,0 +1 @@
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"sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d73", "label": "Xp_d73", "pulse_shape": "drag", "parameters": {"amp": [0.1931800094239733, 0.0], "beta": -1.2895025100344877, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [74], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d74", "label": "Xp_d74", "pulse_shape": "drag", "parameters": {"amp": [0.20990199930998843, 0.0], "beta": 2.4130652522096216, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [75], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d75", "label": "Xp_d75", "pulse_shape": "drag", "parameters": {"amp": [0.19021125106120348, 0.0], "beta": 0.7160070347045755, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [76], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d76", "label": "Xp_d76", "pulse_shape": "drag", "parameters": {"amp": [0.2002111293711134, 0.0], "beta": 0.6311093328765692, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [77], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d77", "label": "Xp_d77", "pulse_shape": "drag", "parameters": {"amp": [0.19911462321462398, 0.0], "beta": 1.8609924766825743, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [78], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d78", "label": "Xp_d78", "pulse_shape": "drag", "parameters": {"amp": [0.17917067206515358, 0.0], "beta": 1.851103029059477, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [79], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d79", "label": "Xp_d79", "pulse_shape": "drag", "parameters": {"amp": [0.2132762038148398, 0.0], "beta": -1.7307623396203353, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [80], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d80", "label": "Xp_d80", "pulse_shape": "drag", "parameters": {"amp": [0.17467432906296457, 0.0], "beta": 1.0592061605987142, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [81], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d81", "label": "Xp_d81", "pulse_shape": "drag", "parameters": {"amp": [0.19187366709312945, 0.0], "beta": 0.7601660082572497, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [82], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d82", "label": "Xp_d82", "pulse_shape": "drag", "parameters": {"amp": [0.18600300260039773, 0.0], "beta": 0.6567210069052538, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [83], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d83", "label": "Xp_d83", "pulse_shape": "drag", "parameters": {"amp": [0.1693325849495997, 0.0], "beta": -1.7728539691275271, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [84], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d84", "label": "Xp_d84", "pulse_shape": "drag", "parameters": {"amp": [0.4220143874565741, 0.0], "beta": 2.5160821131433195, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [85], 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"sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d89", "label": "Xp_d89", "pulse_shape": "drag", "parameters": {"amp": [0.19674759896844426, 0.0], "beta": 1.2848341570364432, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [90], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d90", "label": "Xp_d90", "pulse_shape": "drag", "parameters": {"amp": [0.18742647886211636, 0.0], "beta": -0.5059830897282426, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [91], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d91", "label": "Xp_d91", "pulse_shape": "drag", "parameters": {"amp": [0.181962312649689, 0.0], "beta": 0.48900680306259947, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [92], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d92", "label": "Xp_d92", "pulse_shape": "drag", "parameters": {"amp": [0.17496187243538233, 0.0], "beta": 0.47277780280852233, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [93], 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"sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d97", "label": "Xp_d97", "pulse_shape": "drag", "parameters": {"amp": [0.17538675840028634, 0.0], "beta": 1.400398471240263, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [98], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d98", "label": "Xp_d98", "pulse_shape": "drag", "parameters": {"amp": [0.1922980101004086, 0.0], "beta": -0.8413251500377268, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [99], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d99", "label": "Xp_d99", "pulse_shape": "drag", "parameters": {"amp": [0.19299993436122945, 0.0], "beta": -0.724902268719322, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [100], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d100", "label": "Xp_d100", "pulse_shape": "drag", "parameters": {"amp": [0.2833753861410643, 0.0], "beta": 2.7705635735603025, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [101], 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"qubits": [109], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d109", "label": "Xp_d109", "pulse_shape": "drag", "parameters": {"amp": [0.19545584080344622, 0.0], "beta": -1.3405773892937989, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [110], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d110", "label": "Xp_d110", "pulse_shape": "drag", "parameters": {"amp": [0.2632925692358948, 0.0], "beta": -0.8948508779776356, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [111], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d111", "label": "Xp_d111", "pulse_shape": "drag", "parameters": {"amp": [0.1902831949980182, 0.0], "beta": 1.6086639297843106, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [112], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d112", "label": "Xp_d112", "pulse_shape": "drag", "parameters": {"amp": [0.1920838149663362, 0.0], "beta": 2.963611360885277, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [113], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d113", "label": "Xp_d113", "pulse_shape": "drag", "parameters": {"amp": [0.19729379807805128, 0.0], "beta": 0.6553015551244479, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [114], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d114", "label": "Xp_d114", "pulse_shape": "drag", "parameters": {"amp": [0.19189903462503247, 0.0], "beta": -1.9301443107281502, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [115], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d115", "label": "Xp_d115", "pulse_shape": "drag", "parameters": {"amp": [0.19155262211295584, 0.0], "beta": 1.2465403477961963, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [116], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d116", "label": "Xp_d116", "pulse_shape": "drag", "parameters": {"amp": [0.18646754010948213, 0.0], "beta": 2.3123955970278476, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [117], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d117", "label": "Xp_d117", "pulse_shape": "drag", "parameters": {"amp": [0.19126333314535632, 0.0], "beta": 0.4768382300069933, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [118], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d118", "label": "Xp_d118", "pulse_shape": "drag", "parameters": {"amp": [0.17355280033573223, 0.0], "beta": 0.4067039900309452, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [119], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d119", "label": "Xp_d119", "pulse_shape": "drag", "parameters": {"amp": [0.1894912967166733, 0.0], "beta": -0.1871234366517874, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [120], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d120", "label": "Xp_d120", "pulse_shape": "drag", "parameters": {"amp": [0.46307215630050036, 0.0], "beta": 0.036524360606607714, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [121], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d121", "label": "Xp_d121", "pulse_shape": "drag", "parameters": {"amp": [0.21589176410513186, 0.0], "beta": 0.11083889363180809, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [122], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d122", "label": "Xp_d122", "pulse_shape": "drag", "parameters": {"amp": [0.1812648973464631, 0.0], "beta": 0.6210234557414795, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [123], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d123", "label": "Xp_d123", "pulse_shape": "drag", "parameters": {"amp": [0.17810067869842627, 0.0], "beta": -2.0643350322757312, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [124], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d124", "label": "Xp_d124", "pulse_shape": "drag", "parameters": {"amp": [0.08546014293370045, 0.0], "beta": -0.5448087611900816, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [125], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d125", "label": "Xp_d125", "pulse_shape": "drag", "parameters": {"amp": [0.13005953454402108, 0.0], "beta": 3.7461917428894567, "duration": 272, "sigma": 68}}]}, {"name": "x", "qubits": [126], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "d126", "label": "Xp_d126", "pulse_shape": "drag", "parameters": {"amp": [0.18146659115943964, 0.0], "beta": 1.1718283366691573, "duration": 272, "sigma": 68}}]}], "meas_kernel": {"name": "hw_qmfk", "params": {}}, "discriminator": {"name": "hw_qmfk", "params": {}}, "_data": {}}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/quebec/fake_quebec.py b/qiskit_ibm_runtime/fake_provider/backends/quebec/fake_quebec.py
new file mode 100644
index 000000000..3d72323b8
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/quebec/fake_quebec.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Quebec device (127 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeQuebec(fake_backend.FakeBackendV2):
+    """A fake 127 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_quebec.json"  # type: ignore
+    props_filename = "props_quebec.json"  # type: ignore
+    defs_filename = "defs_quebec.json"  # type: ignore
+    backend_name = "fake_quebec"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/quebec/props_quebec.json b/qiskit_ibm_runtime/fake_provider/backends/quebec/props_quebec.json
new file mode 100644
index 000000000..a577d7270
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/quebec/props_quebec.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/torino/__init__.py b/qiskit_ibm_runtime/fake_provider/backends/torino/__init__.py
new file mode 100644
index 000000000..be2de5892
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/torino/__init__.py
@@ -0,0 +1,17 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Torino backend (133 qubit).
+"""
+
+from .fake_torino import FakeTorino
diff --git a/qiskit_ibm_runtime/fake_provider/backends/torino/conf_torino.json b/qiskit_ibm_runtime/fake_provider/backends/torino/conf_torino.json
new file mode 100644
index 000000000..ac732e279
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/torino/conf_torino.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_torino", "backend_version": "1.0.4", "n_qubits": 133, "basis_gates": ["cz", "id", "rz", "sx", "x"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126], [127], [128], [129], [130], [131], [132]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126], [127], [128], [129], [130], [131], [132]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126], [127], [128], [129], [130], [131], [132]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56], [57], [58], [59], [60], [61], [62], [63], [64], [65], [66], [67], [68], [69], [70], [71], [72], [73], [74], [75], [76], [77], [78], [79], [80], [81], [82], [83], [84], [85], [86], [87], [88], [89], [90], [91], [92], [93], [94], [95], [96], [97], [98], [99], [100], [101], [102], [103], [104], [105], [106], [107], [108], [109], [110], [111], [112], [113], [114], [115], [116], [117], [118], [119], [120], [121], [122], [123], [124], [125], [126], [127], [128], [129], [130], [131], [132]]}, {"name": "cz", "parameters": [], "qasm_def": "gate cz q0, q1 { U(pi/2, 0, pi) q1; CX q0, q1; U(pi/2, 0, pi) q1; }", "coupling_map": [[0, 1], [0, 15], [1, 0], 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[47, 48], [48, 36], [48, 47], [48, 49], [49, 48], [49, 50], [50, 49], [50, 51], [50, 56], [51, 50], [51, 52], [52, 37], [52, 51], [53, 38], [53, 57], [54, 42], [54, 61], [55, 46], [55, 65], [56, 50], [56, 69], [57, 53], [57, 58], [58, 57], [58, 59], [59, 58], [59, 60], [59, 72], [60, 59], [60, 61], [61, 54], [61, 60], [61, 62], [62, 61], [62, 63], [63, 62], [63, 64], [63, 73], [64, 63], [64, 65], [65, 55], [65, 64], [65, 66], [66, 65], [66, 67], [67, 66], [67, 68], [67, 74], [68, 67], [68, 69], [69, 56], [69, 68], [69, 70], [70, 69], [70, 71], [71, 70], [71, 75], [72, 59], [72, 78], [73, 63], [73, 82], [74, 67], [74, 86], [75, 71], [75, 90], [76, 77], [76, 91], [77, 76], [77, 78], [78, 72], [78, 77], [78, 79], [79, 78], [79, 80], [80, 79], [80, 81], [80, 92], [81, 80], [81, 82], [82, 73], [82, 81], [82, 83], [83, 82], [83, 84], [84, 83], [84, 85], [84, 93], [85, 84], [85, 86], [86, 74], [86, 85], [86, 87], [87, 86], [87, 88], [88, 87], [88, 89], [88, 94], [89, 88], [89, 90], [90, 75], [90, 89], [91, 76], [91, 95], [92, 80], [92, 99], [93, 84], [93, 103], [94, 88], [94, 107], [95, 91], [95, 96], [96, 95], [96, 97], [97, 96], [97, 98], [97, 110], [98, 97], [98, 99], [99, 92], [99, 98], [99, 100], [100, 99], [100, 101], [101, 100], [101, 102], [101, 111], [102, 101], [102, 103], [103, 93], [103, 102], [103, 104], [104, 103], [104, 105], [105, 104], [105, 106], [105, 112], [106, 105], [106, 107], [107, 94], [107, 106], [107, 108], [108, 107], [108, 109], [109, 108], [109, 113], [110, 97], [110, 116], [111, 101], [111, 120], [112, 105], [112, 124], [113, 109], [113, 128], [114, 115], [114, 129], [115, 114], [115, 116], [116, 110], [116, 115], [116, 117], [117, 116], [117, 118], [118, 117], [118, 119], [118, 130], [119, 118], [119, 120], [120, 111], [120, 119], [120, 121], [121, 120], [121, 122], [122, 121], [122, 123], [122, 131], [123, 122], [123, 124], [124, 112], [124, 123], [124, 125], [125, 124], [125, 126], [126, 125], [126, 127], [126, 132], [127, 126], [127, 128], [128, 113], [128, 127], [129, 114], [130, 118], [131, 122], [132, 126]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 100000, "coupling_map": [[0, 1], [0, 15], [1, 0], [1, 2], [2, 1], [2, 3], [3, 2], [3, 4], [4, 3], [4, 5], [4, 16], [5, 4], [5, 6], [6, 5], [6, 7], [7, 6], [7, 8], [8, 7], [8, 9], [8, 17], [9, 8], [9, 10], [10, 9], [10, 11], [11, 10], [11, 12], [12, 11], [12, 13], [12, 18], [13, 12], [13, 14], [14, 13], [15, 0], [15, 19], [16, 4], [16, 23], [17, 8], [17, 27], [18, 12], [18, 31], [19, 15], [19, 20], [20, 19], [20, 21], [21, 20], [21, 22], [21, 34], [22, 21], [22, 23], [23, 16], [23, 22], [23, 24], [24, 23], [24, 25], [25, 24], [25, 26], [25, 35], [26, 25], [26, 27], [27, 17], [27, 26], [27, 28], [28, 27], [28, 29], [29, 28], [29, 30], [29, 36], [30, 29], [30, 31], [31, 18], [31, 30], [31, 32], [32, 31], [32, 33], [33, 32], [33, 37], [34, 21], [34, 40], [35, 25], [35, 44], [36, 29], [36, 48], [37, 33], [37, 52], [38, 39], [38, 53], [39, 38], [39, 40], [40, 34], [40, 39], [40, 41], [41, 40], [41, 42], [42, 41], [42, 43], [42, 54], [43, 42], [43, 44], [44, 35], [44, 43], [44, 45], [45, 44], [45, 46], [46, 45], [46, 47], [46, 55], [47, 46], [47, 48], [48, 36], [48, 47], [48, 49], [49, 48], [49, 50], [50, 49], [50, 51], [50, 56], [51, 50], [51, 52], [52, 37], [52, 51], [53, 38], [53, 57], [54, 42], [54, 61], [55, 46], [55, 65], [56, 50], [56, 69], [57, 53], [57, 58], [58, 57], [58, 59], [59, 58], [59, 60], [59, 72], [60, 59], [60, 61], [61, 54], [61, 60], [61, 62], [62, 61], [62, 63], [63, 62], [63, 64], [63, 73], [64, 63], [64, 65], [65, 55], [65, 64], [65, 66], [66, 65], [66, 67], [67, 66], [67, 68], [67, 74], [68, 67], [68, 69], [69, 56], [69, 68], [69, 70], [70, 69], [70, 71], [71, 70], [71, 75], [72, 59], [72, 78], [73, 63], [73, 82], [74, 67], [74, 86], [75, 71], [75, 90], [76, 77], [76, 91], [77, 76], [77, 78], [78, 72], [78, 77], [78, 79], [79, 78], [79, 80], [80, 79], [80, 81], [80, 92], [81, 80], [81, 82], [82, 73], [82, 81], [82, 83], [83, 82], [83, 84], [84, 83], [84, 85], [84, 93], [85, 84], [85, 86], [86, 74], [86, 85], [86, 87], [87, 86], [87, 88], [88, 87], [88, 89], [88, 94], [89, 88], [89, 90], [90, 75], [90, 89], [91, 76], [91, 95], [92, 80], [92, 99], [93, 84], [93, 103], [94, 88], [94, 107], [95, 91], [95, 96], [96, 95], [96, 97], [97, 96], [97, 98], [97, 110], [98, 97], [98, 99], [99, 92], [99, 98], [99, 100], [100, 99], [100, 101], [101, 100], [101, 102], [101, 111], [102, 101], [102, 103], [103, 93], [103, 102], [103, 104], [104, 103], [104, 105], [105, 104], [105, 106], [105, 112], [106, 105], [106, 107], [107, 94], [107, 106], [107, 108], [108, 107], [108, 109], [109, 108], [109, 113], [110, 97], [110, 116], [111, 101], [111, 120], [112, 105], [112, 124], [113, 109], [113, 128], [114, 115], [114, 129], [115, 114], [115, 116], [116, 110], [116, 115], [116, 117], [117, 116], [117, 118], [118, 117], [118, 119], [118, 130], [119, 118], [119, 120], [120, 111], [120, 119], [120, 121], [121, 120], [121, 122], [122, 121], [122, 123], [122, 131], [123, 122], [123, 124], [124, 112], [124, 123], [124, 125], [125, 124], [125, 126], [126, 125], [126, 127], [126, 132], [127, 126], [127, 128], [128, 113], [128, 127], [129, 114], [130, 118], [131, 122], [132, 126]], "dynamic_reprate_enabled": true, "supported_instructions": ["cz", "id", "delay", "measure", "reset", "rz", "sx", "x", "if_else", "for_loop", "switch_case"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 300, "sample_name": "family: Heron, revision: 1", "n_registers": 1, "credits_required": true, "online_date": "2023-11-02T04:00:00+00:00", "description": "133 qubit device", "dt": 4.0, "dtm": 4.0, "processor_type": {"family": "Heron", "revision": "1"}, "parametric_pulses": ["gaussian", "gaussian_square", "gaussian_square_drag", "drag", "constant"], "acquisition_latency": [], "allow_q_object": true, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire10": {"operates": {"qubits": [10]}, "purpose": "acquire", "type": "acquire"}, "acquire100": {"operates": {"qubits": [100]}, "purpose": "acquire", "type": "acquire"}, "acquire101": {"operates": {"qubits": [101]}, "purpose": "acquire", "type": "acquire"}, "acquire102": {"operates": {"qubits": [102]}, "purpose": "acquire", "type": "acquire"}, "acquire103": {"operates": {"qubits": [103]}, "purpose": "acquire", "type": "acquire"}, "acquire104": {"operates": {"qubits": [104]}, "purpose": "acquire", "type": "acquire"}, "acquire105": {"operates": {"qubits": [105]}, "purpose": "acquire", "type": "acquire"}, "acquire106": {"operates": {"qubits": [106]}, "purpose": "acquire", "type": "acquire"}, "acquire107": {"operates": {"qubits": [107]}, "purpose": "acquire", "type": "acquire"}, "acquire108": {"operates": {"qubits": [108]}, "purpose": "acquire", "type": "acquire"}, "acquire109": {"operates": {"qubits": [109]}, "purpose": "acquire", "type": "acquire"}, "acquire11": {"operates": {"qubits": [11]}, "purpose": "acquire", "type": "acquire"}, "acquire110": {"operates": {"qubits": [110]}, "purpose": "acquire", "type": "acquire"}, "acquire111": {"operates": {"qubits": [111]}, "purpose": "acquire", "type": "acquire"}, "acquire112": {"operates": {"qubits": [112]}, "purpose": "acquire", "type": "acquire"}, "acquire113": {"operates": {"qubits": [113]}, "purpose": "acquire", "type": "acquire"}, "acquire114": {"operates": {"qubits": [114]}, "purpose": "acquire", "type": "acquire"}, "acquire115": {"operates": {"qubits": [115]}, "purpose": "acquire", "type": "acquire"}, "acquire116": {"operates": {"qubits": [116]}, "purpose": "acquire", "type": "acquire"}, "acquire117": {"operates": {"qubits": [117]}, "purpose": "acquire", "type": "acquire"}, "acquire118": {"operates": {"qubits": [118]}, "purpose": "acquire", "type": "acquire"}, "acquire119": {"operates": {"qubits": [119]}, "purpose": "acquire", "type": "acquire"}, "acquire12": {"operates": {"qubits": [12]}, "purpose": "acquire", "type": "acquire"}, "acquire120": {"operates": {"qubits": [120]}, "purpose": "acquire", "type": "acquire"}, "acquire121": {"operates": {"qubits": [121]}, "purpose": "acquire", "type": "acquire"}, "acquire122": {"operates": {"qubits": [122]}, "purpose": "acquire", "type": "acquire"}, "acquire123": {"operates": {"qubits": [123]}, "purpose": "acquire", "type": "acquire"}, "acquire124": {"operates": {"qubits": [124]}, "purpose": "acquire", "type": "acquire"}, "acquire125": {"operates": {"qubits": [125]}, "purpose": "acquire", "type": "acquire"}, "acquire126": {"operates": {"qubits": [126]}, "purpose": "acquire", "type": "acquire"}, "acquire127": {"operates": {"qubits": [127]}, "purpose": "acquire", "type": "acquire"}, "acquire128": {"operates": {"qubits": [128]}, "purpose": "acquire", "type": "acquire"}, "acquire129": {"operates": {"qubits": [129]}, "purpose": "acquire", "type": "acquire"}, "acquire13": {"operates": {"qubits": [13]}, "purpose": "acquire", "type": "acquire"}, "acquire130": {"operates": {"qubits": [130]}, "purpose": "acquire", "type": "acquire"}, "acquire131": {"operates": {"qubits": [131]}, "purpose": "acquire", "type": "acquire"}, "acquire132": {"operates": {"qubits": [132]}, "purpose": "acquire", "type": "acquire"}, "acquire14": {"operates": {"qubits": [14]}, "purpose": "acquire", "type": "acquire"}, "acquire15": {"operates": {"qubits": [15]}, "purpose": "acquire", "type": "acquire"}, "acquire16": {"operates": {"qubits": [16]}, "purpose": "acquire", "type": "acquire"}, "acquire17": {"operates": {"qubits": [17]}, "purpose": "acquire", "type": "acquire"}, "acquire18": {"operates": {"qubits": [18]}, "purpose": "acquire", "type": "acquire"}, "acquire19": {"operates": {"qubits": [19]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire20": {"operates": {"qubits": [20]}, "purpose": "acquire", "type": "acquire"}, "acquire21": {"operates": {"qubits": [21]}, "purpose": "acquire", "type": "acquire"}, "acquire22": {"operates": {"qubits": [22]}, "purpose": "acquire", "type": "acquire"}, "acquire23": {"operates": {"qubits": [23]}, "purpose": "acquire", "type": "acquire"}, "acquire24": {"operates": {"qubits": [24]}, "purpose": "acquire", "type": "acquire"}, "acquire25": {"operates": {"qubits": [25]}, "purpose": "acquire", "type": "acquire"}, "acquire26": {"operates": {"qubits": [26]}, "purpose": "acquire", "type": "acquire"}, "acquire27": {"operates": {"qubits": [27]}, "purpose": "acquire", "type": "acquire"}, "acquire28": {"operates": {"qubits": [28]}, "purpose": "acquire", "type": "acquire"}, "acquire29": {"operates": {"qubits": [29]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire30": {"operates": {"qubits": [30]}, "purpose": "acquire", "type": "acquire"}, "acquire31": {"operates": {"qubits": [31]}, "purpose": "acquire", "type": "acquire"}, "acquire32": {"operates": {"qubits": [32]}, "purpose": "acquire", "type": "acquire"}, "acquire33": {"operates": {"qubits": [33]}, "purpose": "acquire", "type": "acquire"}, "acquire34": {"operates": {"qubits": [34]}, "purpose": "acquire", "type": "acquire"}, "acquire35": {"operates": {"qubits": [35]}, "purpose": "acquire", "type": "acquire"}, "acquire36": {"operates": {"qubits": [36]}, "purpose": "acquire", "type": "acquire"}, "acquire37": {"operates": {"qubits": [37]}, "purpose": "acquire", "type": "acquire"}, "acquire38": {"operates": {"qubits": [38]}, "purpose": "acquire", "type": "acquire"}, "acquire39": {"operates": {"qubits": [39]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "acquire40": {"operates": {"qubits": [40]}, "purpose": "acquire", "type": "acquire"}, "acquire41": {"operates": {"qubits": [41]}, "purpose": "acquire", "type": "acquire"}, "acquire42": {"operates": {"qubits": [42]}, "purpose": "acquire", "type": "acquire"}, "acquire43": {"operates": {"qubits": [43]}, "purpose": "acquire", "type": "acquire"}, "acquire44": {"operates": {"qubits": [44]}, "purpose": "acquire", "type": "acquire"}, "acquire45": {"operates": {"qubits": [45]}, "purpose": "acquire", "type": "acquire"}, "acquire46": {"operates": {"qubits": [46]}, "purpose": "acquire", "type": "acquire"}, "acquire47": {"operates": {"qubits": [47]}, "purpose": "acquire", "type": "acquire"}, "acquire48": {"operates": {"qubits": [48]}, "purpose": "acquire", "type": "acquire"}, "acquire49": {"operates": {"qubits": [49]}, "purpose": "acquire", "type": "acquire"}, "acquire5": {"operates": {"qubits": [5]}, "purpose": "acquire", "type": "acquire"}, "acquire50": {"operates": {"qubits": [50]}, "purpose": "acquire", "type": "acquire"}, "acquire51": {"operates": {"qubits": [51]}, "purpose": "acquire", "type": "acquire"}, "acquire52": {"operates": {"qubits": [52]}, "purpose": "acquire", "type": "acquire"}, "acquire53": {"operates": {"qubits": [53]}, "purpose": "acquire", "type": "acquire"}, "acquire54": {"operates": {"qubits": [54]}, "purpose": "acquire", "type": "acquire"}, "acquire55": {"operates": {"qubits": [55]}, "purpose": "acquire", "type": "acquire"}, "acquire56": {"operates": {"qubits": [56]}, "purpose": "acquire", "type": "acquire"}, "acquire57": {"operates": {"qubits": [57]}, "purpose": "acquire", "type": "acquire"}, "acquire58": {"operates": {"qubits": [58]}, "purpose": "acquire", "type": "acquire"}, "acquire59": {"operates": {"qubits": [59]}, "purpose": "acquire", "type": "acquire"}, "acquire6": {"operates": {"qubits": [6]}, "purpose": "acquire", "type": "acquire"}, "acquire60": {"operates": {"qubits": [60]}, "purpose": "acquire", "type": "acquire"}, "acquire61": {"operates": {"qubits": [61]}, "purpose": 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"pulse_alignment": 1}, "u_channel_lo": [], "uchannels_enabled": false, "url": "None"}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/torino/defs_torino.json b/qiskit_ibm_runtime/fake_provider/backends/torino/defs_torino.json
new file mode 100644
index 000000000..e20d257e7
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/torino/defs_torino.json
@@ -0,0 +1 @@
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132]}]}, {"name": "measure", "qubits": [80], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m80", "label": "M_m80", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.29534373669673225, 0.052650519408751095], "duration": 200, "sigma": 4, "width": 184}}, {"name": "delay", "t0": 200, "ch": "m80", "duration": 190}, {"name": "acquire", "t0": 0, "duration": 200, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 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"label": "M_m107", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.08052508529621341, 0.28899084870984676], "duration": 200, "sigma": 4, "width": 184}}, {"name": "delay", "t0": 200, "ch": "m107", "duration": 190}, {"name": "acquire", "t0": 0, "duration": 200, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132], "memory_slot": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 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119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132]}]}, {"name": "measure", "qubits": [117], "sequence": [{"name": "parametric_pulse", "t0": 0, "ch": "m117", "label": "M_m117", "pulse_shape": "gaussian_square", "parameters": {"amp": [-0.022241420582965285, -0.2991743959807584], "duration": 200, "sigma": 4, "width": 184}}, {"name": "delay", "t0": 200, "ch": "m117", "duration": 190}, {"name": "acquire", "t0": 0, "duration": 200, "qubits": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 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\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/backends/torino/fake_torino.py b/qiskit_ibm_runtime/fake_provider/backends/torino/fake_torino.py
new file mode 100644
index 000000000..970ed9a59
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/torino/fake_torino.py
@@ -0,0 +1,28 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""
+Fake Torino device (133 qubit).
+"""
+
+import os
+from qiskit_ibm_runtime.fake_provider import fake_backend
+
+
+class FakeTorino(fake_backend.FakeBackendV2):
+    """A fake 133 qubit backend."""
+
+    dirname = os.path.dirname(__file__)  # type: ignore
+    conf_filename = "conf_torino.json"  # type: ignore
+    props_filename = "props_torino.json"  # type: ignore
+    defs_filename = "defs_torino.json"  # type: ignore
+    backend_name = "fake_torino"  # type: ignore
diff --git a/qiskit_ibm_runtime/fake_provider/backends/torino/props_torino.json b/qiskit_ibm_runtime/fake_provider/backends/torino/props_torino.json
new file mode 100644
index 000000000..6b2e94da7
--- /dev/null
+++ b/qiskit_ibm_runtime/fake_provider/backends/torino/props_torino.json
@@ -0,0 +1 @@
+{"backend_name": "ibm_torino", "backend_version": "1.0.4", "last_update_date": "2024-02-28T08:48:51-05:00", "qubits": [[{"date": "2024-02-27T03:46:46-05:00", "name": "T1", "unit": "us", "value": 180.04100080673533}, {"date": "2024-02-28T01:05:21-05:00", "name": "T2", "unit": "us", "value": 77.18927425012103}, {"date": "2024-02-28T08:48:51-05:00", "name": "frequency", "unit": "GHz", "value": 0}, {"date": "2024-02-28T08:48:51-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_error", "unit": "", "value": 0.06830000000000003}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.06259999999999999}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.074}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_length", "unit": "ns", "value": 1560}], [{"date": "2024-02-27T03:46:46-05:00", "name": "T1", "unit": "us", "value": 144.89493111163273}, {"date": "2024-02-28T01:10:24-05:00", "name": "T2", "unit": "us", "value": 129.81457439404505}, {"date": "2024-02-28T08:48:51-05:00", "name": "frequency", "unit": "GHz", "value": 0}, {"date": "2024-02-28T08:48:51-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_error", "unit": "", "value": 0.012199999999999989}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0166}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.007800000000000029}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_length", "unit": "ns", "value": 1560}], [{"date": "2024-02-28T00:58:27-05:00", "name": "T1", "unit": "us", "value": 178.5697656143002}, {"date": "2024-02-28T01:05:21-05:00", "name": "T2", "unit": "us", "value": 169.9514233815701}, {"date": "2024-02-28T08:48:51-05:00", "name": "frequency", "unit": "GHz", "value": 0}, {"date": "2024-02-28T08:48:51-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_error", "unit": "", "value": 0.026899999999999924}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.02839999999999998}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.0254}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_length", "unit": "ns", "value": 1560}], [{"date": "2024-02-28T00:58:27-05:00", "name": "T1", "unit": "us", "value": 283.764941634393}, {"date": "2024-02-28T01:10:24-05:00", "name": "T2", "unit": "us", "value": 210.0710613733953}, {"date": "2024-02-28T08:48:51-05:00", "name": "frequency", "unit": "GHz", "value": 0}, {"date": "2024-02-28T08:48:51-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_error", "unit": "", "value": 0.013700000000000045}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.0172}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.010199999999999987}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_length", "unit": "ns", "value": 1560}], [{"date": "2024-02-28T00:58:27-05:00", "name": "T1", "unit": "us", "value": 178.01735261898725}, {"date": "2024-02-28T01:05:21-05:00", "name": "T2", "unit": "us", "value": 186.7016689385551}, {"date": "2024-02-28T08:48:51-05:00", "name": "frequency", "unit": "GHz", "value": 0}, {"date": "2024-02-28T08:48:51-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_error", "unit": "", "value": 0.015700000000000047}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.01639999999999997}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.015}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_length", "unit": "ns", "value": 1560}], [{"date": "2024-02-28T00:58:27-05:00", "name": "T1", "unit": "us", "value": 209.86218915359174}, {"date": "2024-02-28T01:10:24-05:00", "name": "T2", "unit": "us", "value": 249.8659931318583}, {"date": "2024-02-28T08:48:51-05:00", "name": "frequency", "unit": "GHz", "value": 0}, {"date": "2024-02-28T08:48:51-05:00", "name": "anharmonicity", "unit": "GHz", "value": 0}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_error", "unit": "", "value": 0.03539999999999999}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas0_prep1", "unit": "", "value": 0.032}, {"date": "2024-02-28T00:46:02-05:00", "name": "prob_meas1_prep0", "unit": "", "value": 0.038799999999999946}, {"date": "2024-02-28T00:46:02-05:00", "name": "readout_length", "unit": "ns", "value": 1560}], [{"date": "2024-02-28T00:58:27-05:00", "name": "T1", "unit": "us", "value": 45.232725052264236}, {"date": "2024-02-28T01:05:21-05:00", "name": "T2", "unit": "us", "value": 44.12029813996717}, {"date": 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108, 107, 106, 105, 104, 103, 93, 84, 85, 86, 87, 88, 89, 90, 75, 71, 70, 69, 56, 50, 51, 52, 37, 33, 32, 31, 18, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 15, 19, 20, 21, 22, 23]}]}
\ No newline at end of file
diff --git a/qiskit_ibm_runtime/fake_provider/fake_provider.py b/qiskit_ibm_runtime/fake_provider/fake_provider.py
index ecd526168..dddb70ceb 100644
--- a/qiskit_ibm_runtime/fake_provider/fake_provider.py
+++ b/qiskit_ibm_runtime/fake_provider/fake_provider.py
@@ -88,6 +88,7 @@ def backends(self, name=None, **kwargs):  # type: ignore
 
     def __init__(self) -> None:
         self._backends = [
+            FakeAlgiers(),  # type: ignore
             FakeAlmadenV2(),  # type: ignore
             FakeArmonkV2(),  # type: ignore
             FakeAthensV2(),  # type: ignore
@@ -95,18 +96,23 @@ def __init__(self) -> None:
             FakeBelemV2(),  # type: ignore
             FakeBoeblingenV2(),  # type: ignore
             FakeBogotaV2(),  # type: ignore
+            FakeBrisbane(),  # type: ignore
             FakeBrooklynV2(),  # type: ignore
             FakeBurlingtonV2(),  # type: ignore
             FakeCairoV2(),  # type: ignore
             FakeCambridgeV2(),  # type: ignore
             FakeCasablancaV2(),  # type: ignore
+            FakeCusco(),  # type: ignore
             FakeEssexV2(),  # type: ignore
             FakeGeneva(),  # type: ignore
             FakeGuadalupeV2(),  # type: ignore
             FakeHanoiV2(),  # type: ignore
             FakeJakartaV2(),  # type: ignore
             FakeJohannesburgV2(),  # type: ignore
+            FakeKawasaki(),  # type: ignore
             FakeKolkataV2(),  # type: ignore
+            FakeKyiv(),  # type: ignore
+            FakeKyoto(),  # type: ignore
             FakeLagosV2(),  # type: ignore
             FakeLimaV2(),  # type: ignore
             FakeLondonV2(),  # type: ignore
@@ -116,12 +122,15 @@ def __init__(self) -> None:
             FakeMontrealV2(),  # type: ignore
             FakeMumbaiV2(),  # type: ignore
             FakeNairobiV2(),  # type: ignore
+            FakeOsaka(),  # type: ignore
             FakeOslo(),  # type: ignore
             FakeOurenseV2(),  # type: ignore
             FakeParisV2(),  # type: ignore
+            FakePeekskill(),  # type: ignore
             FakePerth(),  # type: ignore
             FakePrague(),  # type: ignore
             FakePoughkeepsieV2(),  # type: ignore
+            FakeQuebec(),  # type: ignore
             FakeQuitoV2(),  # type: ignore
             FakeRochesterV2(),  # type: ignore
             FakeRomeV2(),  # type: ignore
@@ -129,6 +138,7 @@ def __init__(self) -> None:
             FakeSherbrooke(),  # type: ignore
             FakeSingaporeV2(),  # type: ignore
             FakeSydneyV2(),  # type: ignore
+            FakeTorino(),  # type: ignore
             FakeTorontoV2(),  # type: ignore
             FakeValenciaV2(),  # type: ignore
             FakeVigoV2(),  # type: ignore