diff --git a/quimb/experimental/operatorbuilder demo.ipynb b/quimb/experimental/operatorbuilder demo.ipynb
deleted file mode 100644
index 6676b2be..00000000
--- a/quimb/experimental/operatorbuilder demo.ipynb	
+++ /dev/null
@@ -1,513 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 35,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "%config InlineBackend.figure_formats = ['svg']\n",
-    "import xyzpy as xyz\n",
-    "import quimb as qu\n",
-    "import quimb.tensor as qtn\n",
-    "from quimb.experimental.operatorbuilder import *"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 36,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "Lx = 4\n",
-    "Ly = 3\n",
-    "N = Lx * Ly\n",
-    "num_up = 6\n",
-    "num_down = 6\n",
-    "subspace = ((N, num_up), (N, num_down))"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 37,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "SparseOperatorBuilder(nsites=24, nterms=80, locality=4))\n",
-      "+ - . . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
-      "- + . . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
-      ". . . . . . . . . . . . + - . . . . . . . . . .  -1.0\n",
-      ". . . . . . . . . . . . - + . . . . . . . . . .  -1.0\n",
-      "+ z z - . . . . . . . . . . . . . . . . . . . .  -1.0\n",
-      "- z z + . . . . . . . . . . . . . . . . . . . .  -1.0\n",
-      ". . . . . . . . . . . . + z z - . . . . . . . .  -1.0\n",
-      ". . . . . . . . . . . . - z z + . . . . . . . .  -1.0\n",
-      ". + - . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
-      ". - + . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
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-      ". . . . . . . . - z z + . . . . . . . . . . . .  -1.0\n",
-      ". . . . . . . . . . . . . . . . . . . . + z z -  -1.0\n",
-      ". . . . . . . . . . . . . . . . . . . . - z z +  -1.0\n",
-      ". . . . . . . . . + - . . . . . . . . . . . . .  -1.0\n",
-      ". . . . . . . . . - + . . . . . . . . . . . . .  -1.0\n",
-      ". . . . . . . . . . . . . . . . . . . . . + - .  -1.0\n",
-      ". . . . . . . . . . . . . . . . . . . . . - + .  -1.0\n",
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-      ". . . . . . . . . . . . . . . . . . . . . . - +  -1.0\n",
-      "n . . . . . . . . . . . n . . . . . . . . . . .  +1.0\n",
-      ". n . . . . . . . . . . . n . . . . . . . . . .  +1.0\n",
-      ". . n . . . . . . . . . . . n . . . . . . . . .  +1.0\n",
-      ". . . n . . . . . . . . . . . n . . . . . . . .  +1.0\n",
-      ". . . . n . . . . . . . . . . . n . . . . . . .  +1.0\n",
-      ". . . . . n . . . . . . . . . . . n . . . . . .  +1.0\n",
-      ". . . . . . n . . . . . . . . . . . n . . . . .  +1.0\n",
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-      ". . . . . . . . . n . . . . . . . . . . . n . .  +1.0\n",
-      ". . . . . . . . . . n . . . . . . . . . . . n .  +1.0\n",
-      ". . . . . . . . . . . n . . . . . . . . . . . n  +1.0\n"
-     ]
-    }
-   ],
-   "source": [
-    "edges = qtn.edges_2d_square(Lx, Ly)\n",
-    "H = fermi_hubbard_from_edges(edges)\n",
-    "H.show()"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# build a sparse matrix to find groundstate of"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 38,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "CPU times: user 7.15 s, sys: 668 ms, total: 7.82 s\n",
-      "Wall time: 7.83 s\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<853776x853776 sparse matrix of type '<class 'numpy.float64'>'\n",
-       "\twith 16686516 stored elements in Compressed Sparse Row format>"
-      ]
-     },
-     "execution_count": 38,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "%%time\n",
-    "S = H.build_sparse_matrix(*subspace, parallel=True)\n",
-    "S"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 39,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "CPU times: user 29.7 s, sys: 27.1 s, total: 56.8 s\n",
-      "Wall time: 7.84 s\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "array([-13.81834891])"
-      ]
-     },
-     "execution_count": 39,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "%%time\n",
-    "ge, gs = qu.eigh(S, k=1, which='SA')\n",
-    "ge"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# construct and find the expectation value of a different operator"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 40,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "853776"
-      ]
-     },
-     "execution_count": 40,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "hs = H.hilbert_space\n",
-    "hs.get_size(*subspace)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 41,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "C = SparseOperatorBuilder(\n",
-    "    terms=[\n",
-    "        (1.0, '+-', ('↑', 1, 1), ('↑', 2, 1)),\n",
-    "    ], \n",
-    "    # need to embed into larger Hilbert space of Hamiltonian\n",
-    "    hilbert_space=hs\n",
-    ")\n",
-    "\n",
-    "# ensure fermionic\n",
-    "C.jordan_wigner_transform()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 42,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "SparseOperatorBuilder(nsites=24, nterms=1, locality=4))\n",
-      ". . . . + z z - . . . . . . . . . . . . . . . .  +1.0\n"
-     ]
-    }
-   ],
-   "source": [
-    "C.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 43,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "<853776x853776 sparse matrix of type '<class 'numpy.float64'>'\n",
-       "\twith 232848 stored elements in Compressed Sparse Row format>"
-      ]
-     },
-     "execution_count": 43,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# build sparse matrix\n",
-    "CS = C.build_sparse_matrix(*subspace, parallel=True)\n",
-    "CS"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 44,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.3473426081278196"
-      ]
-     },
-     "execution_count": 44,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# find the groundstate expectation\n",
-    "qu.expec(CS, gs)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# VMC usage\n",
-    "\n",
-    "For VMC we just need to compute coupling between computation basis\n",
-    "configurations (i.e. a single row of the sparse matrix)."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 45,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "{('↑', 0, 0): 1,\n",
-       " ('↑', 0, 1): 0,\n",
-       " ('↑', 0, 2): 0,\n",
-       " ('↑', 1, 0): 1,\n",
-       " ('↑', 1, 1): 1,\n",
-       " ('↑', 1, 2): 1,\n",
-       " ('↑', 2, 0): 0,\n",
-       " ('↑', 2, 1): 0,\n",
-       " ('↑', 2, 2): 0,\n",
-       " ('↑', 3, 0): 1,\n",
-       " ('↑', 3, 1): 0,\n",
-       " ('↑', 3, 2): 1,\n",
-       " ('↓', 0, 0): 1,\n",
-       " ('↓', 0, 1): 1,\n",
-       " ('↓', 0, 2): 0,\n",
-       " ('↓', 1, 0): 0,\n",
-       " ('↓', 1, 1): 1,\n",
-       " ('↓', 1, 2): 1,\n",
-       " ('↓', 2, 0): 1,\n",
-       " ('↓', 2, 1): 1,\n",
-       " ('↓', 2, 2): 0,\n",
-       " ('↓', 3, 0): 0,\n",
-       " ('↓', 3, 1): 1,\n",
-       " ('↓', 3, 2): 1}"
-      ]
-     },
-     "execution_count": 45,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "config = hs.rand_config()\n",
-    "config"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 46,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "configs, coeffs = H.config_coupling(config)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 47,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[{('↑', 0, 0): 0, ('↑', 0, 1): 1, ('↑', 0, 2): 0, ('↑', 1, 0): 1, ('↑', 1, 1): 1, ('↑', 1, 2): 1, ('↑', 2, 0): 0, ('↑', 2, 1): 0, ('↑', 2, 2): 0, ('↑', 3, 0): 1, ('↑', 3, 1): 0, ('↑', 3, 2): 1, ('↓', 0, 0): 1, ('↓', 0, 1): 1, ('↓', 0, 2): 0, ('↓', 1, 0): 0, ('↓', 1, 1): 1, ('↓', 1, 2): 1, ('↓', 2, 0): 1, ('↓', 2, 1): 1, ('↓', 2, 2): 0, ('↓', 3, 0): 0, ('↓', 3, 1): 1, ('↓', 3, 2): 1}, {('↑', 0, 0): 1, ('↑', 0, 1): 0, ('↑', 0, 2): 0, ('↑', 1, 0): 1, ('↑', 1, 1): 1, ('↑', 1, 2): 1, ('↑', 2, 0): 0, ('↑', 2, 1): 0, ('↑', 2, 2): 0, ('↑', 3, 0): 1, ('↑', 3, 1): 0, ('↑', 3, 2): 1, ('↓', 0, 0): 0, ('↓', 0, 1): 1, ('↓', 0, 2): 0, ('↓', 1, 0): 1, ('↓', 1, 1): 1, ('↓', 1, 2): 1, ('↓', 2, 0): 1, ('↓', 2, 1): 1, ('↓', 2, 2): 0, ('↓', 3, 0): 0, ('↓', 3, 1): 1, ('↓', 3, 2): 1}] ...\n"
-     ]
-    },
-    {
-     "data": {
-      "text/plain": [
-       "array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
-       "       1., 1., 1., 4.])"
-      ]
-     },
-     "execution_count": 47,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "print(configs[:2], '...')\n",
-    "coeffs"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# MPO building"
-   ]
-  },
-  {
-   "attachments": {},
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Note you would want to more carefully order the hilbert space sites for non-1D and also \n",
-    "fermionic systems."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 48,
-   "metadata": {},
-   "outputs": [
-    {
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-      "text/plain": [
-       "<Figure size 2400x850 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "H.draw_state_machine()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 50,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "│4│8│11│12│13│14│15│16│17│16│15│14│15│16│17│16│15│14│13│12│11│8│4│\n",
-      "●─●─●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●─●─●\n",
-      "│ │ │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │ │ │\n"
-     ]
-    }
-   ],
-   "source": [
-    "mpo = H.build_mpo()\n",
-    "mpo.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 51,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "│4│8│11│12│13│14│15│16│17│16│15│14│15│16│17│16│15│14│13│12│11│8│4│\n",
-      "●─<─<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<─<─<\n",
-      "│ │ │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │ │ │\n"
-     ]
-    }
-   ],
-   "source": [
-    "mpo.compress()\n",
-    "mpo.show()"
-   ]
-  },
-  {
-   "attachments": {},
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Althought the method is a simple greedy one, for semi-local hamiltonians like\n",
-    "here it can find the optimal solution (thus compressing hasn't changed \n",
-    "anything)."
-   ]
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "numpy",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
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-    "name": "ipython",
-    "version": 3
-   },
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-   "mimetype": "text/x-python",
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diff --git a/quimb/experimental/operatorbuilder/__init__.py b/quimb/experimental/operatorbuilder/__init__.py
new file mode 100644
index 00000000..414b51b7
--- /dev/null
+++ b/quimb/experimental/operatorbuilder/__init__.py
@@ -0,0 +1,15 @@
+from operatorbuilder import (
+    fermi_hubbard_from_edges,
+    fermi_hubbard_spinless_from_edges,
+    heisenberg_from_edges,
+    HilbertSpace,
+    SparseOperatorBuilder,
+)
+
+__all__ = (
+    "fermi_hubbard_from_edges",
+    "fermi_hubbard_spinless_from_edges",
+    "heisenberg_from_edges",
+    "HilbertSpace",
+    "SparseOperatorBuilder",
+)
diff --git a/quimb/experimental/operatorbuilder/operatorbuilder demo.ipynb b/quimb/experimental/operatorbuilder/operatorbuilder demo.ipynb
new file mode 100644
index 00000000..b1a3800f
--- /dev/null
+++ b/quimb/experimental/operatorbuilder/operatorbuilder demo.ipynb	
@@ -0,0 +1,8609 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [],
+   "source": [
+    "%config InlineBackend.figure_formats = ['svg']\n",
+    "import xyzpy as xyz\n",
+    "import quimb as qu\n",
+    "import quimb.tensor as qtn\n",
+    "from quimb.experimental.operatorbuilder import *"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SparseOperatorBuilder(nsites=2, nterms=2, locality=2))\n",
+      "+ -  +1.0\n",
+      "- +  +1.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "H = SparseOperatorBuilder()\n",
+    "H += 1.0, ('+', 0), ('-', 1)\n",
+    "H += 1.0, ('+', 1), ('-', 0)\n",
+    "H.jordan_wigner_transform()\n",
+    "H.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SparseOperatorBuilder(nsites=24, nterms=80, locality=4))\n",
+      "+ - . . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      "- + . . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . + - . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . - + . . . . . . . . . .  -1.0\n",
+      "+ z z - . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      "- z z + . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . + z z - . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . - z z + . . . . . . . .  -1.0\n",
+      ". + - . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". - + . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . + - . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . - + . . . . . . . . .  -1.0\n",
+      ". + z z - . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". - z z + . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . + z z - . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . - z z + . . . . . . .  -1.0\n",
+      ". . + z z - . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . - z z + . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . + z z - . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . - z z + . . . . . .  -1.0\n",
+      ". . . + - . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . - + . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . + - . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . - + . . . . . . .  -1.0\n",
+      ". . . + z z - . . . . . . . . . . . . . . . . .  -1.0\n",
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+      ". . . . . . . . . . . . . . . + z z - . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . - z z + . . . . .  -1.0\n",
+      ". . . . + - . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . - + . . . . . . . . . . . . . . . . . .  -1.0\n",
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+      ". . . . + z z - . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . - z z + . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . + z z - . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . - z z + . . . .  -1.0\n",
+      ". . . . . + z z - . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . - z z + . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . + z z - . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . - z z + . . .  -1.0\n",
+      ". . . . . . + - . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . - + . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . + - . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . - + . . . .  -1.0\n",
+      ". . . . . . + z z - . . . . . . . . . . . . . .  -1.0\n",
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+      ". . . . . . . . . . . . . . . . . . - z z + . .  -1.0\n",
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+      ". . . . . . . . . . . . . . . . . . . + - . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . - + . . .  -1.0\n",
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+      ". . . . . . . . - z z + . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . + z z -  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . - z z +  -1.0\n",
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+      ". . . . . . . . . . - + . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . . . + -  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . . . - +  -1.0\n",
+      "n . . . . . . . . . . . n . . . . . . . . . . .  +2.0\n",
+      ". n . . . . . . . . . . . n . . . . . . . . . .  +2.0\n",
+      ". . n . . . . . . . . . . . n . . . . . . . . .  +2.0\n",
+      ". . . n . . . . . . . . . . . n . . . . . . . .  +2.0\n",
+      ". . . . n . . . . . . . . . . . n . . . . . . .  +2.0\n",
+      ". . . . . n . . . . . . . . . . . n . . . . . .  +2.0\n",
+      ". . . . . . n . . . . . . . . . . . n . . . . .  +2.0\n",
+      ". . . . . . . n . . . . . . . . . . . n . . . .  +2.0\n",
+      ". . . . . . . . n . . . . . . . . . . . n . . .  +2.0\n",
+      ". . . . . . . . . n . . . . . . . . . . . n . .  +2.0\n",
+      ". . . . . . . . . . n . . . . . . . . . . . n .  +2.0\n",
+      ". . . . . . . . . . . n . . . . . . . . . . . n  +2.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "Lx = 4\n",
+    "Ly = 3\n",
+    "N = Lx * Ly\n",
+    "num_up = 6\n",
+    "num_down = 6\n",
+    "subspace = ((N, num_up), (N, num_down))\n",
+    "\n",
+    "edges = qtn.edges_2d_square(Lx, Ly)\n",
+    "H = fermi_hubbard_from_edges(edges, t=1.0, U=2.0)\n",
+    "H.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<853776x853776 sparse matrix of type '<class 'numpy.float64'>'\n",
+       "\twith 16686516 stored elements in Compressed Sparse Row format>"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sH = H.build_sparse_matrix(*subspace, parallel=True)\n",
+    "sH"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-11.481875713776136"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "qu.groundenergy(sH)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [],
+   "source": [
+    "from quimb.gates import *"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "((3.0, (('z', 0), ('z', 2))), (2.0, (('z', 2),)), (-1.0, (('z', 2), ('z', 1))))"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "builder = SparseOperatorBuilder()\n",
+    "builder.add_term(3, ('z', 0), ('z', 2))\n",
+    "builder.add_term(2, ['z', 2])\n",
+    "builder.add_term(-1, ('z', 2), ('z', 1))\n",
+    "builder.terms"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "H_MPO = builder.build_mpo()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{(('z', 0), ('z', 2)): 3.0, (('z', 2),): 2.0, (('z', 2), ('z', 1)): -1.0}"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "builder._term_store"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SparseOperatorBuilder(nsites=3, nterms=3, locality=2))\n",
+      "z   z  +3.0\n",
+      "    z  +2.0\n",
+      "  z z  -1.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "builder.show(' ')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[[ 4.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j -2.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  6.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j -4.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  2.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j -6.+0.j -0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j -0.+0.j  0.+0.j]]"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ex = 3 * (Z & I & Z) + 2 * (Z & I & I) - 1 * (Z & Z & I)\n",
+    "ex"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{0: {0: {0: (0, 3.0), 1: (1, -3.0)}, 2: {0: (0, 1.0), 1: (1, -1.0)}},\n",
+       " 1: {2: {0: (0, 2.0), 1: (1, -2.0)}},\n",
+       " 2: {2: {0: (0, -1.0), 1: (1, 1.0)}, 1: {0: (0, 1.0), 1: (1, -1.0)}}}"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "{\n",
+    "    k: {kk: dict(vv) for kk, vv in v.items()}\n",
+    "    for k, v in builder.coupling_map.items()\n",
+    "}"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "([{0: 0, 1: 0, 2: 0}], array([6.]))"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "builder.config_coupling({0: 0, 1: 0, 2: 0})"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/media/johnnie/Storage2TB/Sync/dev/python/quimb/quimb/experimental/operatorbuilder/operatorbuilder.py:1404: NumbaTypeSafetyWarning: \u001b[1m\u001b[1m\u001b[1munsafe cast from int64 to undefined. Precision may be lost.\u001b[0m\u001b[0m\u001b[0m\n",
+      "  ci = bitmap[bi]\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "[[ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j -0.+0.j]\n",
+       " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j -0.+0.j  0.+0.j]]"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "ex - builder.build_dense()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
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+       "<Figure size 300x100 with 1 Axes>"
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+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "builder.draw_state_machine()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Lx = 4\n",
+    "Ly = 3\n",
+    "N = Lx * Ly\n",
+    "num_up = 6\n",
+    "num_down = 6\n",
+    "subspace = ((N, num_up), (N, num_down))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SparseOperatorBuilder(nsites=24, nterms=80, locality=4))\n",
+      "+ - . . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      "- + . . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . + - . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . - + . . . . . . . . . .  -1.0\n",
+      "+ z z - . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      "- z z + . . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . + z z - . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . - z z + . . . . . . . .  -1.0\n",
+      ". + - . . . . . . . . . . . . . . . . . . . . .  -1.0\n",
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+      ". . . . . . . . . . . . . - + . . . . . . . . .  -1.0\n",
+      ". + z z - . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". - z z + . . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . + z z - . . . . . . .  -1.0\n",
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+      ". . + z z - . . . . . . . . . . . . . . . . . .  -1.0\n",
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+      ". . . . . . . . . . . . . . - z z + . . . . . .  -1.0\n",
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+      ". . . . . . . . . . . . . . . + - . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . - + . . . . . . .  -1.0\n",
+      ". . . + z z - . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . - z z + . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . + z z - . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . - z z + . . . . .  -1.0\n",
+      ". . . . + - . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . - + . . . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . + - . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . - + . . . . . .  -1.0\n",
+      ". . . . + z z - . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . - z z + . . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . + z z - . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . - z z + . . . .  -1.0\n",
+      ". . . . . + z z - . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . - z z + . . . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . + z z - . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . - z z + . . .  -1.0\n",
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+      ". . . . . . . . . . . . . . . . . . . + z z - .  -1.0\n",
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+      ". . . . . . . . . . . . . . . . . . . . + z z -  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . - z z +  -1.0\n",
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+      ". . . . . . . . . - + . . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . . + - .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . . - + .  -1.0\n",
+      ". . . . . . . . . . + - . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . - + . . . . . . . . . . . .  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . . . + -  -1.0\n",
+      ". . . . . . . . . . . . . . . . . . . . . . - +  -1.0\n",
+      "n . . . . . . . . . . . n . . . . . . . . . . .  +1.0\n",
+      ". n . . . . . . . . . . . n . . . . . . . . . .  +1.0\n",
+      ". . n . . . . . . . . . . . n . . . . . . . . .  +1.0\n",
+      ". . . n . . . . . . . . . . . n . . . . . . . .  +1.0\n",
+      ". . . . n . . . . . . . . . . . n . . . . . . .  +1.0\n",
+      ". . . . . n . . . . . . . . . . . n . . . . . .  +1.0\n",
+      ". . . . . . n . . . . . . . . . . . n . . . . .  +1.0\n",
+      ". . . . . . . n . . . . . . . . . . . n . . . .  +1.0\n",
+      ". . . . . . . . n . . . . . . . . . . . n . . .  +1.0\n",
+      ". . . . . . . . . n . . . . . . . . . . . n . .  +1.0\n",
+      ". . . . . . . . . . n . . . . . . . . . . . n .  +1.0\n",
+      ". . . . . . . . . . . n . . . . . . . . . . . n  +1.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "edges = qtn.edges_2d_square(Lx, Ly)\n",
+    "H = fermi_hubbard_from_edges(edges)\n",
+    "H.show('.')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "H._term_store\n",
+    "\n",
+    "\n",
+    "old_term_store = H._term_store.copy()\n",
+    "H._term_store.clear()\n",
+    "\n",
+    "for term, coeff in old_term_store.items():\n",
+    "    ops, site = zip(*term)\n",
+    "    if {'+', '-'}.intersection(ops):\n",
+    "\n",
+    "        new_term = []\n",
+    "        for op, site in term:\n",
+    "            reg = H.site_to_reg(site)\n",
+    "            if op in {'+', '-'}:\n",
+    "                for r in range(reg):\n",
+    "                    new_term.append(('z', H.reg_to_site(r)))\n",
+    "            new_term.append((op, site))\n",
+    "\n",
+    "        H.add_term(coeff, *new_term)\n",
+    "    else:\n",
+    "        H.add_term(coeff, *term)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SparseOperatorBuilder(nsites=24, nterms=80, locality=2))\n",
+      "+ -                                              -1.0\n",
+      "- +                                              +1.0\n",
+      "                        + -                      -1.0\n",
+      "                        - +                      +1.0\n",
+      "+     -                                          -1.0\n",
+      "-     +                                          +1.0\n",
+      "                        +     -                  -1.0\n",
+      "                        -     +                  +1.0\n",
+      "  + -                                            -1.0\n",
+      "  - +                                            +1.0\n",
+      "                          + -                    -1.0\n",
+      "                          - +                    +1.0\n",
+      "  +     -                                        -1.0\n",
+      "  -     +                                        +1.0\n",
+      "                          +     -                -1.0\n",
+      "                          -     +                +1.0\n",
+      "    +     -                                      -1.0\n",
+      "    -     +                                      +1.0\n",
+      "                            +     -              -1.0\n",
+      "                            -     +              +1.0\n",
+      "      + -                                        -1.0\n",
+      "      - +                                        +1.0\n",
+      "                              + -                -1.0\n",
+      "                              - +                +1.0\n",
+      "      +     -                                    -1.0\n",
+      "      -     +                                    +1.0\n",
+      "                              +     -            -1.0\n",
+      "                              -     +            +1.0\n",
+      "        + -                                      -1.0\n",
+      "        - +                                      +1.0\n",
+      "                                + -              -1.0\n",
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+      "        -     +                                  +1.0\n",
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+      "                                -     +          +1.0\n",
+      "          +     -                                -1.0\n",
+      "          -     +                                +1.0\n",
+      "                                  +     -        -1.0\n",
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+      "                                          - +    +1.0\n",
+      "                    + -                          -1.0\n",
+      "                    - +                          +1.0\n",
+      "                                            + -  -1.0\n",
+      "                                            - +  +1.0\n",
+      "n                       n                        +1.0\n",
+      "  n                       n                      +1.0\n",
+      "    n                       n                    +1.0\n",
+      "      n                       n                  +1.0\n",
+      "        n                       n                +1.0\n",
+      "          n                       n              +1.0\n",
+      "            n                       n            +1.0\n",
+      "              n                       n          +1.0\n",
+      "                n                       n        +1.0\n",
+      "                  n                       n      +1.0\n",
+      "                    n                       n    +1.0\n",
+      "                      n                       n  +1.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "H.show(' ')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# build a sparse matrix to find groundstate of"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "CPU times: user 10.6 s, sys: 789 ms, total: 11.4 s\n",
+      "Wall time: 2.82 s\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<853776x853776 sparse matrix of type '<class 'numpy.float64'>'\n",
+       "\twith 16686516 stored elements in Compressed Sparse Row format>"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "%%time\n",
+    "S = H.build_sparse_matrix(*subspace, parallel=True)\n",
+    "S"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "CPU times: user 2min 59s, sys: 8.99 s, total: 3min 8s\n",
+      "Wall time: 27.6 s\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "array([-17.53241477])"
+      ]
+     },
+     "execution_count": 22,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "%%time\n",
+    "ge, gs = qu.eigh(S, k=1, which='SA')\n",
+    "ge"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# construct and find the expectation value of a different operator"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "853776"
+      ]
+     },
+     "execution_count": 23,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "hs = H.hilbert_space\n",
+    "hs.get_size(*subspace)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "C = SparseOperatorBuilder(\n",
+    "    terms=[\n",
+    "        (1.0, ('+', ('↑', 1, 1)), ('-', ('↑', 2, 1))),\n",
+    "    ],\n",
+    "    # need to embed into larger Hilbert space of Hamiltonian\n",
+    "    hilbert_space=hs\n",
+    ")\n",
+    "\n",
+    "# ensure fermionic\n",
+    "C.jordan_wigner_transform()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SparseOperatorBuilder(nsites=24, nterms=1, locality=4))\n",
+      ". . . . + z z - . . . . . . . . . . . . . . . .  +1.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "C.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<853776x853776 sparse matrix of type '<class 'numpy.float64'>'\n",
+       "\twith 232848 stored elements in Compressed Sparse Row format>"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# build sparse matrix\n",
+    "CS = C.build_sparse_matrix(*subspace, parallel=True)\n",
+    "CS"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-0.0030534147164578973"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# find the groundstate expectation\n",
+    "qu.expec(CS, gs)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# VMC usage\n",
+    "\n",
+    "For VMC we just need to compute coupling between computation basis\n",
+    "configurations (i.e. a single row of the sparse matrix)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{('↑', 0, 0): 1,\n",
+       " ('↑', 0, 1): 0,\n",
+       " ('↑', 0, 2): 1,\n",
+       " ('↑', 1, 0): 0,\n",
+       " ('↑', 1, 1): 1,\n",
+       " ('↑', 1, 2): 1,\n",
+       " ('↑', 2, 0): 1,\n",
+       " ('↑', 2, 1): 0,\n",
+       " ('↑', 2, 2): 0,\n",
+       " ('↑', 3, 0): 1,\n",
+       " ('↑', 3, 1): 0,\n",
+       " ('↑', 3, 2): 1,\n",
+       " ('↓', 0, 0): 1,\n",
+       " ('↓', 0, 1): 0,\n",
+       " ('↓', 0, 2): 0,\n",
+       " ('↓', 1, 0): 1,\n",
+       " ('↓', 1, 1): 1,\n",
+       " ('↓', 1, 2): 1,\n",
+       " ('↓', 2, 0): 1,\n",
+       " ('↓', 2, 1): 1,\n",
+       " ('↓', 2, 2): 0,\n",
+       " ('↓', 3, 0): 0,\n",
+       " ('↓', 3, 1): 1,\n",
+       " ('↓', 3, 2): 1}"
+      ]
+     },
+     "execution_count": 29,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "config = hs.rand_config()\n",
+    "config"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "configs, coeffs = H.config_coupling(config)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[{('↑', 0, 0): 0, ('↑', 0, 1): 1, ('↑', 0, 2): 1, ('↑', 1, 0): 0, ('↑', 1, 1): 1, ('↑', 1, 2): 1, ('↑', 2, 0): 1, ('↑', 2, 1): 0, ('↑', 2, 2): 0, ('↑', 3, 0): 1, ('↑', 3, 1): 0, ('↑', 3, 2): 1, ('↓', 0, 0): 1, ('↓', 0, 1): 0, ('↓', 0, 2): 0, ('↓', 1, 0): 1, ('↓', 1, 1): 1, ('↓', 1, 2): 1, ('↓', 2, 0): 1, ('↓', 2, 1): 1, ('↓', 2, 2): 0, ('↓', 3, 0): 0, ('↓', 3, 1): 1, ('↓', 3, 2): 1}, {('↑', 0, 0): 1, ('↑', 0, 1): 0, ('↑', 0, 2): 1, ('↑', 1, 0): 0, ('↑', 1, 1): 1, ('↑', 1, 2): 1, ('↑', 2, 0): 1, ('↑', 2, 1): 0, ('↑', 2, 2): 0, ('↑', 3, 0): 1, ('↑', 3, 1): 0, ('↑', 3, 2): 1, ('↓', 0, 0): 0, ('↓', 0, 1): 1, ('↓', 0, 2): 0, ('↓', 1, 0): 1, ('↓', 1, 1): 1, ('↓', 1, 2): 1, ('↓', 2, 0): 1, ('↓', 2, 1): 1, ('↓', 2, 2): 0, ('↓', 3, 0): 0, ('↓', 3, 1): 1, ('↓', 3, 2): 1}] ...\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
+       "       1., 1., 1., 5.])"
+      ]
+     },
+     "execution_count": 31,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "print(configs[:2], '...')\n",
+    "coeffs"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# MPO building"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Note you would want to more carefully order the hilbert space sites for non-1D and also \n",
+    "fermionic systems."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
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+       "  </g>\n",
+       " </g>\n",
+       "</svg>\n"
+      ],
+      "text/plain": [
+       "<Figure size 2400x850 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "H.draw_state_machine()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "│4│8│11│12│13│14│15│16│17│16│15│14│15│16│17│16│15│14│13│12│11│8│4│\n",
+      "●─●─●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●──●─●─●\n",
+      "│ │ │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │ │ │\n"
+     ]
+    }
+   ],
+   "source": [
+    "mpo = H.build_mpo()\n",
+    "mpo.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "│4│8│11│12│13│14│15│16│17│16│15│14│15│16│17│16│15│14│13│12│11│8│4│\n",
+      "●─<─<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<──<─<─<\n",
+      "│ │ │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │  │ │ │\n"
+     ]
+    }
+   ],
+   "source": [
+    "mpo.compress()\n",
+    "mpo.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Althought the method is a simple greedy one, for semi-local hamiltonians like\n",
+    "here it can find the optimal solution (thus compressing hasn't changed \n",
+    "anything)."
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "numpy",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/quimb/experimental/operatorbuilder.py b/quimb/experimental/operatorbuilder/operatorbuilder.py
similarity index 99%
rename from quimb/experimental/operatorbuilder.py
rename to quimb/experimental/operatorbuilder/operatorbuilder.py
index c9d9d521..be536ce1 100644
--- a/quimb/experimental/operatorbuilder.py
+++ b/quimb/experimental/operatorbuilder/operatorbuilder.py
@@ -1008,7 +1008,8 @@ def comb(n, k):
 
 @njit
 def get_all_equal_weight_bits(n, k, dtype=np.int64):
-    """Get an array of all 'bits' (integers), with n bits, and k of them set."""
+    """Get an array of all 'bits' (integers), with n bits, and k of them set.
+    """
     if k == 0:
         return np.array([0], dtype=dtype)