diff --git a/docs/how_tos/choose_subspace_dimension.ipynb b/docs/how_tos/choose_subspace_dimension.ipynb index e3d5d91..8909933 100644 --- a/docs/how_tos/choose_subspace_dimension.ipynb +++ b/docs/how_tos/choose_subspace_dimension.ipynb @@ -65,13 +65,14 @@ "metadata": {}, "outputs": [], "source": [ + "import numpy as np\n", "from qiskit_addon_sqd.counts import generate_counts_uniform\n", "\n", "# Create a seed to control randomness throughout this workflow\n", - "rand_seed = 42\n", + "rng = np.random.default_rng(24)\n", "\n", "# Generate random samples\n", - "counts_dict = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rand_seed)" + "counts_dict = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rng)" ] }, { @@ -89,7 +90,6 @@ "metadata": {}, "outputs": [], "source": [ - "import numpy as np\n", "from qiskit_addon_sqd.counts import counts_to_arrays\n", "\n", "# Convert counts into bitstring and probability arrays\n", @@ -130,6 +130,7 @@ " n_batches: int,\n", " samples_per_batch: int,\n", " max_davidson_cycles: int,\n", + " rng: np.random.Generator,\n", ") -> tuple[np.ndarray, np.ndarray]:\n", " \"\"\"Perform SQD.\"\"\"\n", " # Self-consistent configuration recovery loop\n", @@ -155,7 +156,7 @@ " occupancies_bitwise,\n", " num_elec_a,\n", " num_elec_b,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", "\n", " # Throw out samples with incorrect hamming weight and create batches of subsamples.\n", @@ -166,7 +167,7 @@ " hamming_left=num_elec_b,\n", " samples_per_batch=samples_per_batch,\n", " num_batches=n_batches,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", "\n", " # Run eigenstate solvers in a loop. This loop should be parallelized for larger problems.\n", @@ -272,6 +273,7 @@ " n_batches,\n", " samples_per_batch,\n", " max_davidson_cycles,\n", + " rng=rng,\n", " )\n", " energies.append(np.min(e_hist))\n", "\n", @@ -297,7 +299,7 @@ "outputs": [ { "data": { - "image/png": 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" ] diff --git a/docs/how_tos/integrate_dice_solver.ipynb b/docs/how_tos/integrate_dice_solver.ipynb index 1db1e50..ae46506 100644 --- a/docs/how_tos/integrate_dice_solver.ipynb +++ b/docs/how_tos/integrate_dice_solver.ipynb @@ -47,10 +47,10 @@ "nuclear_repulsion_energy = mf_as.mol.energy_nuc()\n", "\n", "# Create a seed to control randomness throughout this workflow\n", - "rand_seed = 42\n", + "rng = np.random.default_rng(24)\n", "\n", "# Generate random samples\n", - "counts_dict = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rand_seed)\n", + "counts_dict = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rng)\n", "\n", "# Convert counts into bitstring and probability arrays\n", "bitstring_matrix_full, probs_arr_full = counts_to_arrays(counts_dict)\n", @@ -81,7 +81,7 @@ " occupancies_bitwise,\n", " num_elec_a,\n", " num_elec_b,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", "\n", " # Throw out samples with incorrect hamming weight and create batches of subsamples.\n", @@ -92,7 +92,7 @@ " hamming_left=num_elec_b,\n", " samples_per_batch=samples_per_batch,\n", " num_batches=n_batches,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", " # Run eigenstate solvers in a loop. This loop should be parallelized for larger problems.\n", " int_e = np.zeros(n_batches)\n", diff --git a/docs/how_tos/use_oo_to_optimize_hamiltonian_basis.ipynb b/docs/how_tos/use_oo_to_optimize_hamiltonian_basis.ipynb index 741f9fb..fdf9e00 100644 --- a/docs/how_tos/use_oo_to_optimize_hamiltonian_basis.ipynb +++ b/docs/how_tos/use_oo_to_optimize_hamiltonian_basis.ipynb @@ -77,10 +77,10 @@ "from qiskit_addon_sqd.counts import counts_to_arrays, generate_counts_uniform\n", "\n", "# Create a seed to control randomness throughout this workflow\n", - "rand_seed = 42\n", + "rng = np.random.default_rng(24)\n", "\n", "# Generate random samples\n", - "counts_dict = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rand_seed)\n", + "counts_dict = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rng)\n", "\n", "# Convert counts into bitstring and probability arrays\n", "bitstring_matrix_full, probs_arr_full = counts_to_arrays(counts_dict)" @@ -147,7 +147,7 @@ " occupancies_bitwise,\n", " num_elec_a,\n", " num_elec_b,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", "\n", " # Throw out samples with incorrect hamming weight and create batches of subsamples.\n", @@ -158,7 +158,7 @@ " hamming_left=num_elec_b,\n", " samples_per_batch=samples_per_batch,\n", " num_batches=n_batches,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", "\n", " # Run eigenstate solvers in a loop. This loop should be parallelized for larger problems.\n", @@ -209,7 +209,7 @@ "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -222,10 +222,13 @@ "import matplotlib.pyplot as plt\n", "\n", "# Data for energies plot\n", - "x1 = range(iterations)\n", "n2_exact = -109.10288938\n", - "y1 = [np.min(energies) for energies in e_hist]\n", - "yt1 = [float(i) for i in range(-110, -106)]\n", + "x1 = range(iterations)\n", + "e_diff = [abs(np.min(energies) - n2_exact) for energies in e_hist]\n", + "yt1 = [1.0, 1e-1, 1e-2, 1e-3, 1e-4]\n", + "\n", + "# Chemical accuracy (+/- 1 milli-Hartree)\n", + "chem_accuracy = 0.001\n", "\n", "# Data for avg spatial orbital occupancy\n", "y2 = avg_occupancy[:num_orbitals] + avg_occupancy[num_orbitals:]\n", @@ -234,15 +237,17 @@ "fig, axs = plt.subplots(1, 2, figsize=(12, 6))\n", "\n", "# Plot energies\n", - "axs[0].plot(x1, y1, label=\"Estimated\")\n", + "axs[0].plot(x1, e_diff, label=\"energy error\", marker=\"o\")\n", "axs[0].set_xticks(x1)\n", "axs[0].set_xticklabels(x1)\n", "axs[0].set_yticks(yt1)\n", "axs[0].set_yticklabels(yt1)\n", - "axs[0].axhline(y=n2_exact, color=\"red\", linestyle=\"--\", label=\"Exact\")\n", - "axs[0].set_title(\"Approximated Ground State Energy vs SQD Iterations\")\n", - "axs[0].set_xlabel(\"Iteration Index\")\n", - "axs[0].set_ylabel(\"Energy (Ha)\")\n", + "axs[0].set_yscale(\"log\")\n", + "axs[0].set_ylim(1e-4)\n", + "axs[0].axhline(y=chem_accuracy, color=\"#BF5700\", linestyle=\"--\", label=\"chemical accuracy\")\n", + "axs[0].set_title(\"Approximated Ground State Energy Error vs SQD Iterations\")\n", + "axs[0].set_xlabel(\"Iteration Index\", fontdict={\"fontsize\": 12})\n", + "axs[0].set_ylabel(\"Energy Error (Ha)\", fontdict={\"fontsize\": 12})\n", "axs[0].legend()\n", "\n", "# Plot orbital occupancy\n", @@ -250,8 +255,8 @@ "axs[1].set_xticks(x2)\n", "axs[1].set_xticklabels(x2)\n", "axs[1].set_title(\"Avg Occupancy per Spatial Orbital\")\n", - "axs[1].set_xlabel(\"Orbital Index\")\n", - "axs[1].set_ylabel(\"Avg Occupancy\")\n", + "axs[1].set_xlabel(\"Orbital Index\", fontdict={\"fontsize\": 12})\n", + "axs[1].set_ylabel(\"Avg Occupancy\", fontdict={\"fontsize\": 12})\n", "\n", "plt.tight_layout()\n", "plt.show()" @@ -317,8 +322,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Subspace dimension: 213444\n", - "Energy of that batch from SQD: -108.99034160888203\n" + "Subspace dimension: 245025\n", + "Energy of that batch from SQD: -109.05227474364847\n" ] } ], @@ -387,7 +392,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "improved_energy in the new basis: -108.98995482831833\n" + "improved_energy in the new basis: -109.05255251000438\n" ] } ], diff --git a/docs/tutorials/01_chemistry_hamiltonian.ipynb b/docs/tutorials/01_chemistry_hamiltonian.ipynb index 5d34de3..0360162 100644 --- a/docs/tutorials/01_chemistry_hamiltonian.ipynb +++ b/docs/tutorials/01_chemistry_hamiltonian.ipynb @@ -65,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "677f54ac-b4ed-47e3-b5ba-5366d3a520f9", "metadata": {}, "outputs": [ @@ -107,7 +107,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "66270387", "metadata": {}, "outputs": [ @@ -116,14 +116,15 @@ "output_type": "stream", "text": [ "converged SCF energy = -108.867773675638\n", - "E(CCSD) = -109.0935188831274 E_corr = -0.2257452074893004\n" + "E(CCSD) = -109.0935188821144 E_corr = -0.2257452064762984\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "Overwritten attributes get_ovlp get_hcore of \n" + "Overwritten attributes get_ovlp get_hcore of \n", + " does not have attributes converged\n" ] } ], @@ -236,8 +237,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 7394, 'sx': 6025, 'ecr': 2232, 'x': 298, 'measure': 32, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'rz': 4168, 'sx': 3160, 'ecr': 1262, 'x': 182, 'measure': 32, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 7471, 'sx': 6027, 'ecr': 2248, 'x': 330, 'measure': 32, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'rz': 4156, 'sx': 3186, 'ecr': 1262, 'x': 207, 'measure': 32, 'barrier': 1})\n" ] } ], @@ -288,18 +289,18 @@ "metadata": {}, "outputs": [], "source": [ - "# from qiskit_ibm_runtime import SamplerV2 as Sampler\n", + "import numpy as np\n", "\n", + "# from qiskit_ibm_runtime import SamplerV2 as Sampler\n", "# sampler = Sampler(mode=backend)\n", "# job = sampler.run([isa_circuit], shots=10_000)\n", "# primitive_result = job.result()\n", "# pub_result = primitive_result[0]\n", "# counts = pub_result.data.meas.get_counts()\n", - "\n", "from qiskit_addon_sqd.counts import generate_counts_uniform\n", "\n", - "rand_seed = 42\n", - "counts = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rand_seed)" + "rng = np.random.default_rng(24)\n", + "counts = generate_counts_uniform(10_000, num_orbitals * 2, rand_seed=rng)" ] }, { @@ -329,7 +330,6 @@ "metadata": {}, "outputs": [], "source": [ - "import numpy as np\n", "from qiskit_addon_sqd.counts import counts_to_arrays\n", "\n", "# Convert counts into bitstring and probability arrays\n", @@ -406,7 +406,7 @@ " occupancies_bitwise,\n", " num_elec_a,\n", " num_elec_b,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", "\n", " # Throw out configurations with incorrect particle number in either the spin-up or spin-down systems\n", @@ -417,7 +417,7 @@ " hamming_left=num_elec_b,\n", " samples_per_batch=samples_per_batch,\n", " num_batches=n_batches,\n", - " rand_seed=rand_seed,\n", + " rand_seed=rng,\n", " )\n", "\n", " # Run eigenstate solvers in a loop. This loop should be parallelized for larger problems.\n", @@ -472,7 +472,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] diff --git a/qiskit_addon_sqd/configuration_recovery.py b/qiskit_addon_sqd/configuration_recovery.py index 3d81a55..4056013 100644 --- a/qiskit_addon_sqd/configuration_recovery.py +++ b/qiskit_addon_sqd/configuration_recovery.py @@ -54,7 +54,7 @@ def recover_configurations( avg_occupancies: np.ndarray, num_elec_a: int, num_elec_b: int, - rand_seed: int | None = None, + rand_seed: np.random.Generator | int | None = None, ) -> tuple[np.ndarray, np.ndarray]: """Refine bitstrings based on average orbital occupancy and a target hamming weight. @@ -82,7 +82,7 @@ def recover_configurations( ``i`` in ``bitstring_matrix``. num_elec_a: The number of spin-up electrons in the system. num_elec_b: The number of spin-down electrons in the system. - rand_seed: A seed to control random behavior + rand_seed: A seed for controlling randomness Returns: A refined bitstring matrix and an updated probability array. @@ -92,6 +92,8 @@ def recover_configurations( arXiv:2405.05068 [quant-ph]. """ + rng = np.random.default_rng(rand_seed) + if num_elec_a < 0 or num_elec_b < 0: raise ValueError("The numbers of electrons must be specified as non-negative integers.") @@ -104,7 +106,7 @@ def recover_configurations( avg_occupancies, num_elec_a, num_elec_b, - rand_seed=rand_seed, + rng=rng, ) bs_str = "".join("1" if bit else "0" for bit in bs_corrected) corrected_dict[bs_str] += freq @@ -183,7 +185,7 @@ def _bipartite_bitstring_correcting( avg_occupancies: np.ndarray, hamming_right: int, hamming_left: int, - rand_seed: int | None = None, + rng: np.random.Generator, ) -> np.ndarray: """Use occupancy information and target hamming weight to correct a bitstring. @@ -192,7 +194,7 @@ def _bipartite_bitstring_correcting( avg_occupancies: A 1D array containing the mean occupancy of each orbital. hamming_right: The target hamming weight used for the right half of the bitstring hamming_left: The target hamming weight used for the left half of the bitstring - rand_seed: A seed to control random behavior + rng: A random number generator Returns: A corrected bitstring @@ -201,8 +203,6 @@ def _bipartite_bitstring_correcting( # This function must not mutate the input arrays. bit_array = bit_array.copy() - np.random.seed(rand_seed) - # The number of bits should be even num_bits = bit_array.shape[0] partition_size = num_bits // 2 @@ -246,7 +246,7 @@ def _bipartite_bitstring_correcting( probs_left[bit_array[:partition_size]] ) # Correct the hamming by probabilistically flipping some bits to flip to 0 - indices_to_flip = np.random.choice( + indices_to_flip = rng.choice( indices_occupied, size=round(n_diff), replace=False, p=p_choice ) bit_array[:partition_size][indices_to_flip] = False @@ -259,7 +259,7 @@ def _bipartite_bitstring_correcting( probs_left[np.logical_not(bit_array[:partition_size])] ) # Correct the hamming by probabilistically flipping some bits to flip to 1 - indices_to_flip = np.random.choice( + indices_to_flip = rng.choice( indices_empty, size=round(np.abs(n_diff)), replace=False, p=p_choice ) bit_array[:partition_size][indices_to_flip] = np.logical_not( @@ -280,7 +280,7 @@ def _bipartite_bitstring_correcting( probs_right[bit_array[partition_size:]] ) # Correct the hamming by probabilistically flipping some bits to flip to 0 - indices_to_flip = np.random.choice( + indices_to_flip = rng.choice( indices_occupied, size=round(n_diff), replace=False, p=p_choice ) bit_array[partition_size:][indices_to_flip] = np.logical_not( @@ -295,7 +295,7 @@ def _bipartite_bitstring_correcting( probs_right[np.logical_not(bit_array[partition_size:])] ) # Correct the hamming by probabilistically flipping some bits to flip to 1 - indices_to_flip = np.random.choice( + indices_to_flip = rng.choice( indices_empty, size=round(np.abs(n_diff)), replace=False, p=p_choice ) bit_array[partition_size:][indices_to_flip] = np.logical_not( diff --git a/qiskit_addon_sqd/counts.py b/qiskit_addon_sqd/counts.py index 45d4513..5426b43 100644 --- a/qiskit_addon_sqd/counts.py +++ b/qiskit_addon_sqd/counts.py @@ -41,7 +41,7 @@ def counts_to_arrays(counts: dict[str, float | int]) -> tuple[np.ndarray, np.nda def generate_counts_uniform( - num_samples: int, num_bits: int, rand_seed: None | int = None + num_samples: int, num_bits: int, rand_seed: np.random.Generator | int | None = None ) -> dict[str, int]: """Generate a bitstring counts dictionary of samples drawn from the uniform distribution. @@ -62,11 +62,13 @@ def generate_counts_uniform( raise ValueError("The number of samples must be specified with a positive integer.") if num_bits < 1: raise ValueError("The number of bits must be specified with a positive integer.") - np.random.seed(rand_seed) + + rng = np.random.default_rng(rand_seed) + sample_dict: dict[str, int] = {} # Use numpy to generate a random matrix of bit values and # convert it to a dictionary of bitstring samples - bts_matrix = np.random.choice([0, 1], size=(num_samples, num_bits)) + bts_matrix = rng.choice([0, 1], size=(num_samples, num_bits)) for i in range(num_samples): bts_arr = bts_matrix[i, :].astype("int") bts = "".join("1" if bit else "0" for bit in bts_arr) @@ -81,7 +83,7 @@ def generate_counts_bipartite_hamming( *, hamming_right: int, hamming_left: int, - rand_seed: None | int = None, + rand_seed: np.random.Generator | int | None = None, ) -> dict[str, int]: """Generate a bitstring counts dictionary with specified bipartite hamming weight. @@ -112,17 +114,13 @@ def generate_counts_bipartite_hamming( if hamming_left < 0 or hamming_right < 0: raise ValueError("Hamming weights must be specified as non-negative integers.") - np.random.seed(rand_seed) + rng = np.random.default_rng(rand_seed) sample_dict: dict[str, int] = {} for _ in range(num_samples): # Pick random bits to flip such that the left and right hamming weights are correct - up_flips = np.random.choice(np.arange(num_bits // 2), hamming_right, replace=False).astype( - "int" - ) - dn_flips = np.random.choice(np.arange(num_bits // 2), hamming_left, replace=False).astype( - "int" - ) + up_flips = rng.choice(np.arange(num_bits // 2), hamming_right, replace=False).astype("int") + dn_flips = rng.choice(np.arange(num_bits // 2), hamming_left, replace=False).astype("int") # Create a bitstring with the chosen bits flipped bts_arr = np.zeros(num_bits) diff --git a/qiskit_addon_sqd/subsampling.py b/qiskit_addon_sqd/subsampling.py index d603768..af8171f 100644 --- a/qiskit_addon_sqd/subsampling.py +++ b/qiskit_addon_sqd/subsampling.py @@ -28,7 +28,7 @@ def postselect_and_subsample( hamming_left: int, samples_per_batch: int, num_batches: int, - rand_seed: int | None = None, + rand_seed: np.random.Generator | int | None = None, ) -> list[np.ndarray]: """Subsample batches of bit arrays with correct hamming weight from an input ``bitstring_matrix``. @@ -68,6 +68,8 @@ def postselect_and_subsample( if hamming_left < 0 or hamming_right < 0: raise ValueError("Hamming weight must be specified with a non-negative integer.") + rng = np.random.default_rng(rand_seed) + # Post-select only bitstrings with correct hamming weight mask_postsel = post_select_by_hamming_weight( bitstring_matrix, hamming_right=hamming_right, hamming_left=hamming_left @@ -79,7 +81,7 @@ def postselect_and_subsample( if len(probs_postsel) == 0: return [np.array([])] * num_batches - return subsample(bs_mat_postsel, probs_postsel, samples_per_batch, num_batches, rand_seed) + return subsample(bs_mat_postsel, probs_postsel, samples_per_batch, num_batches, rand_seed=rng) def subsample( @@ -87,7 +89,7 @@ def subsample( probabilities: np.ndarray, samples_per_batch: int, num_batches: int, - rand_seed: int | None = None, + rand_seed: np.random.Generator | int | None = None, ) -> list[np.ndarray]: """Subsample batches of bit arrays from an input ``bitstring_matrix``. @@ -122,7 +124,8 @@ def subsample( if num_batches < 1: raise ValueError("The number of batches must be specified with a positive integer.") - np.random.seed(rand_seed) + rng = np.random.default_rng(rand_seed) + num_bitstrings = bitstring_matrix.shape[0] # If the number of requested samples is >= the number of bitstrings, return @@ -136,7 +139,7 @@ def subsample( batches = [] for _ in range(num_batches): if randomly_sample: - indices = np.random.choice( + indices = rng.choice( np.arange(num_bitstrings).astype("int"), samples_per_batch, replace=False, diff --git a/releasenotes/notes/rng-620825ec3215e415.yaml b/releasenotes/notes/rng-620825ec3215e415.yaml new file mode 100644 index 0000000..2b31bcd --- /dev/null +++ b/releasenotes/notes/rng-620825ec3215e415.yaml @@ -0,0 +1,4 @@ +--- +features: + - | + All functions which take a ``rand_seed`` argument now also accept a ``numpy.random.Generator`` instance as the ``rand_seed``.