From 3d48b3be6f8af3c1f49470421adca0d4664b5c1f Mon Sep 17 00:00:00 2001
From: AlexisRalli <rallilex@hotmail.co.uk>
Date: Fri, 24 Feb 2023 11:37:42 +0000
Subject: [PATCH] noncon graph as maximal graph problem!

---
 .../1.1 PauliwordOp usage.ipynb               |    6 +-
 .../1.2 QuantumState usage.ipynb              |  286 ++--
 .../1.3 importing_hamiltonian_data.ipynb      |  172 +--
 ... Tapering the Heisenberg Hamiltonian.ipynb |   82 +-
 .../2.3 CS-VQE for Electronic Structure.ipynb |    2 +-
 ...2.4 CS-VQE for Noncontextual Problem.ipynb |    2 +-
 .../2. Applications/GRAPHING noncon.ipynb     | 1260 +++++++++++++++++
 7 files changed, 1527 insertions(+), 283 deletions(-)
 create mode 100644 notebooks/2. Applications/GRAPHING noncon.ipynb

diff --git a/notebooks/1. Basic Usage/1.1 PauliwordOp usage.ipynb b/notebooks/1. Basic Usage/1.1 PauliwordOp usage.ipynb
index 94e4aa8d..89035137 100644
--- a/notebooks/1. Basic Usage/1.1 PauliwordOp usage.ipynb	
+++ b/notebooks/1. Basic Usage/1.1 PauliwordOp usage.ipynb	
@@ -104,7 +104,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "a1dc01d0749c4e1cb4dded12dfbc4f86",
+       "model_id": "dccecb676dc64415ae2222f156069202",
        "version_major": 2,
        "version_minor": 0
       },
@@ -524,7 +524,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "<class 'scipy.sparse.csr.csr_matrix'>\n",
+      "<class 'scipy.sparse._csr.csr_matrix'>\n",
       "[[5.+0.j 0.+0.j 0.+0.j 1.+0.j]\n",
       " [0.+0.j 1.+0.j 1.+0.j 0.+0.j]\n",
       " [0.+0.j 1.+0.j 1.+0.j 0.+0.j]\n",
@@ -708,7 +708,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.13"
+   "version": "3.9.16"
   }
  },
  "nbformat": 4,
diff --git a/notebooks/1. Basic Usage/1.2 QuantumState usage.ipynb b/notebooks/1. Basic Usage/1.2 QuantumState usage.ipynb
index e16d0769..c3b8e9ed 100644
--- a/notebooks/1. Basic Usage/1.2 QuantumState usage.ipynb	
+++ b/notebooks/1. Basic Usage/1.2 QuantumState usage.ipynb	
@@ -147,27 +147,27 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      " 0.177+0.075j |01100> +\n",
-      " 0.314+0.374j |11111> +\n",
-      " 0.264+0.109j |11010> +\n",
-      " 0.170+0.242j |01100> +\n",
-      " 0.363+0.156j |10001> +\n",
-      " 0.107+0.205j |11110> +\n",
-      " 0.095+0.021j |00010> +\n",
-      " 0.326+0.385j |10010> +\n",
-      " 0.116+0.044j |10111> +\n",
-      " 0.258+0.016j |11011>\n",
+      " 0.279+0.161j |10010> +\n",
+      " 0.205+0.409j |11101> +\n",
+      " 0.381+0.217j |11011> +\n",
+      " 0.142+0.270j |11101> +\n",
+      " 0.422+0.007j |11110> +\n",
+      " 0.042+0.099j |00111> +\n",
+      " 0.043+0.058j |00001> +\n",
+      " 0.014+0.388j |11011> +\n",
+      " 0.054+0.050j |01011> +\n",
+      " 0.212+0.077j |00000>\n",
       "\n",
-      " 0.091+0.344j |10110> +\n",
-      " 0.361+0.405j |10101> +\n",
-      " 0.017+0.002j |11011> +\n",
-      " 0.285+0.411j |11010> +\n",
-      " 0.086+0.076j |01111> +\n",
-      " 0.245+0.219j |11110> +\n",
-      " 0.039+0.127j |00011> +\n",
-      " 0.083+0.087j |01011> +\n",
-      " 0.023+0.371j |11001> +\n",
-      " 0.168+0.096j |00100>\n"
+      " 0.312+0.346j |11101> +\n",
+      " 0.113+0.092j |11001> +\n",
+      " 0.116+0.354j |10001> +\n",
+      " 0.260+0.099j |10000> +\n",
+      " 0.202+0.182j |00001> +\n",
+      " 0.134+0.350j |01111> +\n",
+      " 0.052+0.179j |01100> +\n",
+      " 0.363+0.133j |11000> +\n",
+      " 0.295+0.197j |10000> +\n",
+      " 0.073+0.129j |11101>\n"
      ]
     }
    ],
@@ -193,22 +193,20 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      " 0.060+0.013j |00010> +\n",
-      " 0.025+0.081j |00011> +\n",
-      " 0.107+0.061j |00100> +\n",
-      " 0.052+0.055j |01011> +\n",
-      " 0.220+0.201j |01100> +\n",
-      " 0.054+0.048j |01111> +\n",
-      " 0.230+0.099j |10001> +\n",
-      " 0.207+0.244j |10010> +\n",
-      " 0.229+0.257j |10101> +\n",
-      " 0.058+0.218j |10110> +\n",
-      " 0.074+0.028j |10111> +\n",
-      " 0.014+0.235j |11001> +\n",
-      " 0.348+0.330j |11010> +\n",
-      " 0.175+0.011j |11011> +\n",
-      " 0.223+0.269j |11110> +\n",
-      " 0.199+0.237j |11111>\n",
+      " 0.110+0.040j |00000> +\n",
+      " 0.127+0.124j |00001> +\n",
+      " 0.022+0.051j |00111> +\n",
+      " 0.028+0.026j |01011> +\n",
+      " 0.027+0.093j |01100> +\n",
+      " 0.069+0.181j |01111> +\n",
+      " 0.287+0.153j |10000> +\n",
+      " 0.060+0.183j |10001> +\n",
+      " 0.144+0.083j |10010> +\n",
+      " 0.188+0.069j |11000> +\n",
+      " 0.059+0.048j |11001> +\n",
+      " 0.205+0.313j |11011> +\n",
+      " 0.379+0.597j |11101> +\n",
+      " 0.218+0.004j |11110>\n",
       "\n",
       "Norm: (1+0j)\n"
      ]
@@ -239,38 +237,38 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "-0.117-0.171j |00000> +\n",
-      "-0.164-0.062j |00001> +\n",
-      " 0.168-0.123j |00010> +\n",
-      "-0.006+0.092j |00011> +\n",
-      "-0.160+0.173j |00100> +\n",
-      "-0.022-0.055j |00101> +\n",
-      "-0.207+0.103j |00110> +\n",
-      " 0.155+0.085j |00111> +\n",
-      "-0.066-0.003j |01000> +\n",
-      " 0.076+0.283j |01001> +\n",
-      "-0.040-0.157j |01010> +\n",
-      "-0.129-0.246j |01011> +\n",
-      " 0.013-0.128j |01100> +\n",
-      "-0.016+0.126j |01101> +\n",
-      "-0.035-0.018j |01110> +\n",
-      "-0.019-0.037j |01111> +\n",
-      "-0.043+0.129j |10000> +\n",
-      " 0.220+0.113j |10001> +\n",
-      " 0.016-0.172j |10010> +\n",
-      " 0.098-0.218j |10011> +\n",
-      " 0.017+0.103j |10100> +\n",
-      "-0.236-0.000j |10101> +\n",
-      " 0.106+0.076j |10110> +\n",
-      "-0.072-0.237j |10111> +\n",
-      " 0.186-0.030j |11000> +\n",
-      " 0.007+0.147j |11001> +\n",
-      "-0.210+0.061j |11010> +\n",
-      " 0.104-0.003j |11011> +\n",
-      "-0.129+0.013j |11100> +\n",
-      " 0.212-0.038j |11101> +\n",
-      " 0.101+0.003j |11110> +\n",
-      "-0.004+0.000j |11111>\n"
+      " 0.119-0.010j |00000> +\n",
+      "-0.021+0.014j |00001> +\n",
+      " 0.357-0.030j |00010> +\n",
+      "-0.122-0.039j |00011> +\n",
+      " 0.049-0.132j |00100> +\n",
+      " 0.150+0.051j |00101> +\n",
+      " 0.016+0.035j |00110> +\n",
+      "-0.048-0.083j |00111> +\n",
+      " 0.167-0.088j |01000> +\n",
+      " 0.084+0.103j |01001> +\n",
+      " 0.011+0.061j |01010> +\n",
+      " 0.028-0.172j |01011> +\n",
+      "-0.367-0.296j |01100> +\n",
+      " 0.083-0.058j |01101> +\n",
+      "-0.105+0.057j |01110> +\n",
+      " 0.062-0.252j |01111> +\n",
+      "-0.088-0.154j |10000> +\n",
+      " 0.010-0.098j |10001> +\n",
+      " 0.025+0.125j |10010> +\n",
+      " 0.055-0.048j |10011> +\n",
+      " 0.009+0.087j |10100> +\n",
+      " 0.223+0.043j |10101> +\n",
+      " 0.060+0.021j |10110> +\n",
+      " 0.023-0.192j |10111> +\n",
+      " 0.176+0.090j |11000> +\n",
+      "-0.102+0.157j |11001> +\n",
+      " 0.057+0.035j |11010> +\n",
+      " 0.144-0.129j |11011> +\n",
+      " 0.054+0.106j |11100> +\n",
+      " 0.199+0.165j |11101> +\n",
+      " 0.118-0.090j |11110> +\n",
+      "-0.011-0.035j |11111>\n"
      ]
     }
    ],
@@ -291,18 +289,18 @@
      "text": [
       "Generate a random Hermitian operator:\n",
       "\n",
-      "-0.005+0.000j ZYZYY +\n",
-      "-1.615+0.000j ZZXIZ +\n",
-      " 1.031+0.000j YIYZZ +\n",
-      "-0.174+0.000j ZIYZZ +\n",
-      "-0.279+0.000j ZIZIZ +\n",
-      "-1.485+0.000j YZXIY +\n",
-      "-0.191+0.000j ZYXYY +\n",
-      " 0.582+0.000j IYZIX +\n",
-      "-0.616+0.000j ZZXXY +\n",
-      " 0.074+0.000j IIYZX\n",
+      " 0.757+0.000j ZIIXZ +\n",
+      " 0.250+0.000j IIZXX +\n",
+      "-1.277+0.000j YXIII +\n",
+      "-0.022+0.000j YYYZY +\n",
+      "-0.719+0.000j ZIIZI +\n",
+      "-0.221+0.000j IYXZZ +\n",
+      "-1.860+0.000j IIXYX +\n",
+      " 0.882+0.000j XYYZY +\n",
+      "-1.967+0.000j XYYZX +\n",
+      "-0.798+0.000j ZXZZX\n",
       "\n",
-      "Expectation value <psi|op|psi> = 0.39241190535279735\n"
+      "Expectation value <psi|op|psi> = -0.13235450706889088\n"
      ]
     }
    ],
@@ -421,14 +419,12 @@
     },
     {
      "data": {
-      "image/png": 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BhwF/Ien7th+euv8t8dvkyiPusH028B5JzX8PT9i+FLif4h/sRmAXisd9s8s299m+ALgSWECRDH7Q2EE5w/rZspbEM+XyePcAK23fVC6vsP1N4LgWbV8EHgQuSOLovVx5RMP4Z/YvlT9foRiQdjZwAnAE8OHyu+cBbP9G0n7AOykSSIOa9utyuTFYaUb5czNjNf4mpwEbmpar2kePJHnEkKRDgV/a3ryVLoyfUQyJn0ExwnW8O4F9m0YyYnu1pFPLfpTdyuVVki6gSA4vUQzPHpHUSFbHS5oL/Aj4H2APSSNAY0j1/cAiScts/3s7Jx7tySCxaJukI4GFwEm2X2hjP38F3JpbksGQ5BERtaTDNCJqSfKIiFqSPCKilv8HDgcKWwhvZpoAAAAASUVORK5CYII=\n",
+      "image/png": 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\n",
       "text/plain": [
-       "<Figure size 300x200 with 1 Axes>"
+       "<Figure size 320x240 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -463,14 +459,12 @@
     },
     {
      "data": {
-      "image/png": "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\n",
+      "image/png": "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\n",
       "text/plain": [
-       "<Figure size 300x200 with 1 Axes>"
+       "<Figure size 320x240 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -500,10 +494,10 @@
     {
      "data": {
       "text/plain": [
-       " 0.200+0.000j |0101> +\n",
-       " 0.424+0.000j |1101> +\n",
-       " 0.648+0.000j |0001> +\n",
-       " 0.600+0.000j |1111>"
+       " 0.245+0.000j |0101> +\n",
+       " 0.510+0.000j |1101> +\n",
+       " 0.693+0.000j |0001> +\n",
+       " 0.447+0.000j |1111>"
       ]
      },
      "execution_count": 13,
@@ -534,21 +528,21 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "With n_samples=1         , <psi_sampled|psi_true> = (0.4472135954999579+0j)\n",
-      "With n_samples=4         , <psi_sampled|psi_true> = (0.9536631057245559+0j)\n",
-      "With n_samples=16        , <psi_sampled|psi_true> = (0.9535261006375797+0j)\n",
-      "With n_samples=64        , <psi_sampled|psi_true> = (0.9836078899552315+0j)\n",
-      "With n_samples=256       , <psi_sampled|psi_true> = (0.9991960138426712+0j)\n",
-      "With n_samples=1024      , <psi_sampled|psi_true> = (0.9996322633486345+0j)\n",
-      "With n_samples=4096      , <psi_sampled|psi_true> = (0.9999553083700304+0j)\n",
-      "With n_samples=16384     , <psi_sampled|psi_true> = (0.9999895200428515+0j)\n",
-      "With n_samples=65536     , <psi_sampled|psi_true> = (0.9999953223692815+0j)\n",
-      "With n_samples=262144    , <psi_sampled|psi_true> = (0.9999995188606302+0j)\n",
-      "With n_samples=1048576   , <psi_sampled|psi_true> = (0.9999996888442162+0j)\n",
-      "With n_samples=4194304   , <psi_sampled|psi_true> = (0.9999999597206877+0j)\n",
-      "With n_samples=16777216  , <psi_sampled|psi_true> = (0.9999999852232992+0j)\n",
-      "With n_samples=67108864  , <psi_sampled|psi_true> = (0.9999999959238957+0j)\n",
-      "With n_samples=268435456 , <psi_sampled|psi_true> = (0.9999999987686086+0j)\n"
+      "With n_samples=1         , <psi_sampled|psi_true> = (0.6324555320336759+0j)\n",
+      "With n_samples=4         , <psi_sampled|psi_true> = (0.706449510224598+0j)\n",
+      "With n_samples=16        , <psi_sampled|psi_true> = (0.957315293884496+0j)\n",
+      "With n_samples=64        , <psi_sampled|psi_true> = (0.9924582010460996+0j)\n",
+      "With n_samples=256       , <psi_sampled|psi_true> = (0.9982038550644707+0j)\n",
+      "With n_samples=1024      , <psi_sampled|psi_true> = (0.9998899517728461+0j)\n",
+      "With n_samples=4096      , <psi_sampled|psi_true> = (0.9998957187740097+0j)\n",
+      "With n_samples=16384     , <psi_sampled|psi_true> = (0.9999920227855486+0j)\n",
+      "With n_samples=65536     , <psi_sampled|psi_true> = (0.9999968535865696+0j)\n",
+      "With n_samples=262144    , <psi_sampled|psi_true> = (0.9999976442416212+0j)\n",
+      "With n_samples=1048576   , <psi_sampled|psi_true> = (0.9999993838659795+0j)\n",
+      "With n_samples=4194304   , <psi_sampled|psi_true> = (0.9999999819025877+0j)\n",
+      "With n_samples=16777216  , <psi_sampled|psi_true> = (0.9999999235792749+0j)\n",
+      "With n_samples=67108864  , <psi_sampled|psi_true> = (0.9999999950167243+0j)\n",
+      "With n_samples=268435456 , <psi_sampled|psi_true> = (0.999999998167042+0j)\n"
      ]
     }
    ],
@@ -576,14 +570,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      " 0.038+0.160j |000> +\n",
-      " 0.036-0.072j |001> +\n",
-      "-0.258-0.051j |010> +\n",
-      " 0.283-0.302j |011> +\n",
-      "-0.173-0.462j |100> +\n",
-      "-0.099-0.291j |101> +\n",
-      " 0.107+0.125j |110> +\n",
-      " 0.280+0.532j |111>\n"
+      "-0.257+0.377j |000> +\n",
+      " 0.270+0.072j |001> +\n",
+      "-0.169+0.566j |010> +\n",
+      " 0.138+0.218j |011> +\n",
+      " 0.057+0.074j |100> +\n",
+      " 0.071-0.242j |101> +\n",
+      " 0.165+0.097j |110> +\n",
+      " 0.431+0.054j |111>\n"
      ]
     }
    ],
@@ -601,14 +595,12 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
-       "<Figure size 600x400 with 1 Axes>"
+       "<Figure size 640x480 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -624,14 +616,12 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
-       "<Figure size 600x400 with 1 Axes>"
+       "<Figure size 640x480 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -643,30 +633,28 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 19,
    "id": "47ba9923",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<AxesSubplot:xlabel='binary output', ylabel='probability amplitude'>"
+       "<Axes: xlabel='binary output', ylabel='probability amplitude'>"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 19,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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PrKor+90ZSZKkEb3MSbkQeHS/OyJJktSpl5GUTwIfT/IR4DKaWz8PqKpL+9ExSZK0fuslSTmt/fiZjrLCibOSJKmPeklSHtf3XkiSJHWZ9JyUqvrleNtk20tyYJLlSe5LsizJc8ap+5Qkp7f1K8lBvbSZZMMkxya5LcmKts0tJtt3SZI0OD2vgpzkyUn2SPIXndsk23gNsBQ4HNgJuAQ4K8nCMU55BHA1cChw0xTa/Cjw58CrgF2BrYEvTabvkiRpsHpZBfmPgC8DT+P3c1Hg9+9LmcyclIOB46rqhLbt/YGXA68HPtRduaouAC5o6z7k+ETaTLIxsB+wT1Wd29bZF7g8yS5V9cNJ9F+SJA1ILyMpHweuARYCvwGeAryQ5tHkxRNtJMlcYGfg7JGyqlrT7i/qoV8TbXNnYIOuOlcAvxovbpJ5Xa//X9BLHyVJ0sT0kqQsAt5fVbcCa4A1VfV9YAnwiUm0sxnNqMvNXeU3A1v20K+JtrklsKqq7pxk3CXAXR3bdT32UZIkTUAvScps4J7281tp5nMA/BLYoR+dGlJHAxt3bNvObHckSXp46+UR5J8Cz6C55bMMeFeSVcCbaCa1TtStwP1A91M1WzDGpNg+tXkTMDfJJl2jKePGraqVwMqR/SRjVZUkSX3Qy0jKkR3nvZ/mvSnfA14GvHWijVTVKuAiYLeRsiSz2v3ze+jXRNu8iOYtuZ11dgC26zWuJEnqv0mPpFTVWR2f/xx4YpJNgTuqarIrIi8FTkxyIfAj4CBgPjDyZM5JwPVVtaTdnws8uT13LrBNkh2BFW1f1tpmVd2V5HhgaZLbgbtpXvV/vk/2SFofrFq9hrlzen4DhTRternd8xBVdXuP552WZHPgCJpJqxcDe1TVyMTX7Wgm547YGvhJx/4h7fZd2ieLJtAmwNvbdk8H5gFnAW/u5RokaV0zd84sdjnqHFasXD3wWAsXzOPcQxYPPI4envqSpExFVR0DHDPGscVd+8v5/XtZemqzPX4fcGC7SdJ6Z8XK1dOSpMyf53Ju6p3jfZIkaSiZpEiSpKE06SQlyfxBdESSJKlTLyMpNyf5TJIX9L03kiRJrV6SlL8FNgXOTfK/SQ5NsvXaTpIkSZqMSScpVXVGVe0JbAN8CtgH+GWSryXZK8mMPzEkSZLWfT1PnK2qX1fV0qp6OnAw8BLgP4EbkhyR5BH96qQkSVr/9DzqkWQL4LXA64DH0CQox9MsvPdPwC7An069i5IkaX006SQlyV7AvsBLgZ8B/wp8vnOxviTnAZf3qY+SJGk91MtIygnAqcDzq+qCMercAPyfnnslSZLWe70kKVtV1W/Gq1BVvwUO761LkiRJvU2cvSfJwu7CJI9Kcn8f+iRJktRTkjLWAn/zgFVT6IskSdIDJny7J8lb208LeEOSFR2HZwMvBK7oY98kSdJ6bDJzUt7efgywP9B5a2cVsLwtlyRJmrIJJylV9TiAJN8G9qqqOwbWK0mStN6b9NM9VfWiQXREkiSp04SSlCRLgfdV1b3t52OqqoP70jNJkrRem+hIyjOBDTo+H0tNrTuSJEmNCSUpnbd4vN0jSZKmQ8+rIEuSJA3SROekfGmiDVbVXr13R5IkqTHROSl3DbQXkiRJXSY6J2XfQXdEkiSpk3NSJGmGrVq9Zqa7IA2lic5J+TGwW1XdkeQnjPOocVXt1K/OSdL6YO6cWexy1DmsWLl64LEWLpjHuYcsHngcqR8mOiflv4CV7ednDKYrkrT+WrFy9bQkKfPnzR54DKlfJjon5fDRPpckSRqUSa/dMyLJs4Antbs/q6qL+tMlSZKkHibOJtk2yfeAHwEfb7cLknw/yba9dCLJgUmWJ7kvybIkz1lL/VcluaKtf1mSl3UdrzG2d3bUWT7K8UN76b8kSeq/Xp7u+XeadXyeVFWbVtWmNCMqs9pjk5LkNcBS4HBgJ+AS4KwkC8eo/zzgFOB4mnWEzgDOSPLUjmpbdW2vp5nse3pXc+/vqvfJyfZfkiQNRi9Jyq7AAVV15UhB+/lbgBf20N7BwHFVdUJV/QzYH/gNTWIxmrcBZ1bVR6rq8qp6H/Bj4B87+nNT5wb8JfDtqrq6q617uure20P/JUnSAPSSpFzL71dE7jQbuGEyDSWZC+wMnD1SVlVr2v1FY5y2qLN+66yx6ifZAng5zchLt0OT3JbkJ0nemWTMOTpJ5iXZaGQDFoxVV5IkTV0vSco7gU+2E2eBBybRfhw4ZJJtbUaT3NzcVX4zsOUY52w5yfqvBe4Butcf+gSwN/Ai4N+AdwP/PE5fl9AsDzCyXTdOXUmSNEUTfZnbHTz4BW7zgWVJRh7qnwOsBj7D8L1H5fXAyVV1X2dhVS3t2L00ySrg35IsqaqVPNTRNHNnRizAREWSpIGZ6CPIBw0o/q3A/cAWXeVbADeNcc5NE62f5E+AHYDXTKAvy2i+Ho8Fruw+2CYuDyQvSSbQpCRJ6tVEX+Z24iCCV9WqJBcBu9GOwCSZ1e4fM8Zp57fHP9ZRtntb3m0/4KKqumQC3dkRWAPcMoG6kiRpwHp+mRtAkg2BuZ1lVXX3JJtZCpyY5EKad68cRHM76YQ2xknA9VW1pK3/ceC7Sd4BfJ1mXsmzgDd19W0j4FXAO0bp9yLgucC3aearLAI+Cny+qu6YZP8lSdIATDpJSTIf+DDwauBRo1SZ1MIQVXVaks2BI2gmv14M7FFVI5Njt6MZ4Ripf16SfYAjgaOAq4A9q+qnXU3vDYTmnSrdVrbHDwPmAdfQJClLR6krSZJmQC8jKf9M80TMAcDngAOBbYB/AHp6Y2tVHcMYt3eqavEoZV8EvriWNj8NfHqMYz8Gdpl0RyVJ0rTpJUn5c+Dvq+o7SU4AvldVP0/yS+BvgJP72kNJkrRe6uU9KZsCI29uvbvdB/g+vb1xVpIk6SF6SVKuBh7Xfn4FzdwUaEZY7uxDnyRJknpKUk4AntF+/iHgwCT30Uw8/Ui/OiZJktZvk56TUlUf7fj87CRPolm9+OdVdWk/OydJktZfU3pPCkBVLQeWT7knkiRJHXq53UOS3ZJ8Lckv2u1rSV7S785JkqT116STlCRvBs6keVPrx9vtbuAbSQ7sb/ckSdL6qpfbPe8G3t6+gG3EJ5L8oD12bF96JkkzYNXqNcyd09Mgs6Q+6yVJ2YRmJKXbt2hely9J66y5c2axy1HnsGLl6mmJt3DBPM49ZPG0xJLWNb0kKV8BXslDHzf+S+BrU+6RJM2wFStXT1uSMn/epJY7k9YrE0pSkry1Y/dnwHuSLAbOb8t2AZ4P/N9+dk6SJK2/JjqS8vau/TuAJ7fbiDuB19OsTixJkjQlE0pSqupxa68lSZLUP1Oawp5WvzojSZI0oteXuf19ksuA3wK/TXJpkr/rb9ckSdL6bNJP9yQ5GPggcAzwg7b4BcCnkmzWubaPJElSr3p5BPktwAFVdVJH2VeS/A9wGM1qyJIkSVPSy+2erYDzRik/rz0mSZI0Zb0kKT8HXj1K+WuAq6bWHUmSpEYvt3s+AJyW5IX8fk7K84HdGD15kSRJmrRJj6RU1enAc4BbgT3b7VbgOVX15X52TpIkrb8mNZKSZAPg34APVtXfDqZLkiRJkxxJqarfAX81oL5IkiQ9oJeJs2fQ3OKRJEkamF4mzl4FvD/J84GLgHs7D1bVJ/rRMUmStH7rJUnZj2bF453brVMBJimSJGnKJp2kuCKyJEmaDkOxCnKSA5MsT3JfkmVJnrOW+q9KckVb/7IkL+s6/tkk1bWd2VVn0yQnJ7k7yZ1Jjk/yyKleiyRJ6o9eV0HeL8lPgfuA+5L8NMkbemzrNcBS4HBgJ+AS4KwkC8eo/zzgFOB44Jk0E3nPSPLUrqpn0rymf2T7667jJwNPAXYHXgG8EPh0L9cgSZL6b9JJSpIjgI8DXwVe1W5fBT7aHpusg4HjquqEqvoZsD/wG+D1Y9R/G3BmVX2kqi6vqvcBPwb+saveyqq6qWO7o+MangTsAbyhqpZV1fdpFk7cO8nWPVyDpAFZtXrNTHdB0gzpZeLsAcAbq+qUjrKvJLkU+CTw/ok2lGQuzeTbo0fKqmpNkrOBRWOctohm5KXTWTz0sejFSW4B7gDOBd5bVbd1tHFnVV3YUf9sYA3wXOAhb85NMg+Y11G0YOwrk9Qvc+fMYpejzmHFytUDj7VwwTzOPWTxwONImphekpQNgAtHKb+oh/Y2A2YDN3eV3ww8cYxzthyj/pYd+2cCXwKuAbYHjgK+mWRRVd3f1r2ls4GqWp3k9q52Oi2hWbdI0jRbsXL1tCQp8+fNHngMSRPXy5yUz9GMpnR7E808jxlXVadW1Veq6rKqOoNmzsmzgcVTaPZoYOOObdup9lOSJI2tl5EUgP2S/Cnww3b/ucB2wElJHrgVU1UHr6WdW4H7gS26yrcAbhrjnJsmWZ+qujrJrcDjgXPaug+amJtkDrDpWO1U1UpgZUf9scJJkqQ+6GUk5ak0E1V/TXMrZXuaZOPH7bFnttuOa2uoqlbR3CbabaQsyax2//wxTju/s35r93Hqk2Rb4FHAjR1tbJKk82V0L6b5eixbW78lSdLg9fIytxf1uQ9LgROTXAj8CDgImA+cAJDkJOD6qlrS1v848N0k7wC+DuwNPIvmdhPtu04+AJxOMyqyPfDPwM9pJthSVZe37005Lsn+NPNsjgFOraob+nx9kiSpB73e7umbqjotyebAETSTVi8G9qiqkcmx29E8dTNS/7wk+wBH0kyIvQrYs6p+2la5H3g68FpgE+AG4FvA+9pbNiP+hiYxOadt/3TgrQO4REmS1IMZT1IAquoYmoRhtGOLRyn7IvDFMer/FnjpBGLeDuwzqY5KkqRpM6XX4kuSJA2KSYokSRpKJimSJGkomaRIkqShZJIiSZKGkkmKJEkaSiYpkiRpKJmkSJKkoWSSIkmShpJJiiRJGkomKZImZdXqNWuvJEl9MBRr90had8ydM4tdjjqHFStXDzzWwgXzOPeQxQOPI2k4maRImrQVK1dPS5Iyf97sgceQNLy83SNJkoaSSYokSRpKJimSJGkomaRIkqShZJIiSZKGkkmKJEkaSiYpkiRpKJmkSJKkoWSSIkmShpJJiiRJGkomKZIkaSiZpEiSpKFkkiJJkoaSSYokSRpKJinSOm7V6jUz3QVJGog5M90BSVMzd84sdjnqHFasXD3wWAsXzOPcQxYPPI4kwZCMpCQ5MMnyJPclWZbkOWup/6okV7T1L0vyso5jGyT5cFt+b5IbkpyUZOuuNpYnqa7t0EFdozRIK1aunpbt3lWDT4QkacSMJylJXgMsBQ4HdgIuAc5KsnCM+s8DTgGOB54JnAGckeSpbZVHtO18sP24F7AD8JVRmns/sFXH9sm+XJQkSZqyGU9SgIOB46rqhKr6GbA/8Bvg9WPUfxtwZlV9pKour6r3AT8G/hGgqu6qqt2r6gtVdWVV/bA9tnOS7brauqeqburY7h3IFUqSpEmb0SQlyVxgZ+DskbKqWtPuLxrjtEWd9VtnjVMfYGOggDu7yg9NcluSnyR5Z5Ix5+gkmZdko5ENWDBOPEmSNEUzPXF2M2A2cHNX+c3AE8c4Z8sx6m85WuUkGwIfBk6pqrs7Dn2CZgTmduB5wNE0t3wOHiPuEuADYxyTJEl9NtNJykAl2QD4AhDggM5jVbW0Y/fSJKuAf0uypKpWjtLc0TRzZ0YsAK7rc5clSVJrppOUW4H7gS26yrcAbhrjnJsmUr8jQXkM8OKuUZTRLKP5ejwWuLL7YJu4PJC8JFlLc5IkaSpmdE5KVa0CLgJ2GylLMqvdP3+M087vrN/avbN+R4LyBOAlVXXbBLqzI7AGuGWC3ZckSQM00yMp0NxCOTHJhcCPgIOA+cAJAElOAq6vqiVt/Y8D303yDuDrwN7As4A3tfU3AP6T5vHjVwCzk4zMV7m9qlYlWQQ8F/g2cA/NpNuPAp+vqjsGe7mSJGkiZjxJqarTkmwOHEEz+fViYI+qGpkcux3NCMdI/fOS7AMcCRwFXAXsWVU/batsA/xF+/nFXeFeBHyH5rbN3sBhwDzgGpokZSmSJGkozHiSAlBVxwDHjHFs8ShlXwS+OEb95TQTZceL92Ngl8n2U5IkTZ9heJmbJEnSQ5ikSH3mqsSS1B9DcbtHejhxVWJJ6g+TFGkARlYNHrT582YPPIYkzRRv90iSpKFkkiJJkoaSSYokSRpKJimSJGkomaRIkqShZJIiSZKGkkmKJEkaSiYpkiRpKJmk6GHNV9RL0rrLN87qYW06X1EPvqZekvrJJEUPe9P1inrwNfWS1E/e7pEkSUPJJEWSJA0lkxRJkjSUTFIkSdJQMkmRJElDySRFkiQNJZMUTStfriZJmijfk6JpNZ0vV/PFapK0bjNJ0bSbrper+WI1SVq3ebtHkiQNJZMUSZI0lExSJEnSUDJJkSRJQ8kkZT3nI8GSpGE1FE/3JDkQeCewJXAJ8Jaq+tE49V8FfBB4LHAV8E9V9Y2O4wEOB94IbAL8ADigqq7qqLMp8Engz4E1wOnA26pqRT+vbdj5SLAkaVjNeJKS5DXAUmB/YBlwEHBWkh2q6pZR6j8POAVYAnwN2Ac4I8lOVfXTttq7gLcCrwWuoUlozkry5Kq6r61zMrAVsDuwAXAC8Om2vfWKjwRLkobRMNzuORg4rqpOqKqf0SQrvwFeP0b9twFnVtVHquryqnof8GPgH+GBUZSDgCOr6r+q6lLg74GtgT3bOk8C9gDeUFXLqur7wFuAvZNsPaDrnBBvv0iS1JjRkZQkc4GdgaNHyqpqTZKzgUVjnLaIZuSl01m0CQjwOJrbRmd3tHlXkmXtuae2H++sqgs72jib5rbPc4Evj9LXecC8jqIFAHffffe419iL3T/5fe6dhpGNzR45jy/sv4gNayX3M/h489Y0X6+Ha7yZiGm8dTveTMQ0nvEma8O6v++/6ybcXlXN2EYzulHAoq7yfwaWjXHOKuCvu8reDNzcfv68ts2tuup8ATit/fzdwJWjtH0LzdyV0eIe1rbr5ubm5ubm1p9tm/HyhBmfk7IOOZqHjuBsCtw+A33ptgC4DtgWuMd462RM4xlv2GMab92ON1Mxx7MAuGG8CjOdpNwK3A9s0VW+BXDTGOfctJb6N3WU3dhV5+KOOgs7G0gyhybpGDVuVa0EVnYV9/9eTw+aaTgA3FNVA+/Twz3eTMQ0nvGGPabx1u14MxVzLdbahxmdOFtVq4CLgN1GypLMavfPH+O08zvrt3bvqH8NTaLR2eZGNHNNRuqcD2ySZOeONl5M8/VY1su1SJKk/prpkRRobqGcmORC4Ec0T+bMp3kkmCQnAddX1ZK2/seB7yZ5B/B1YG/gWcCbAKqqknwMeG+Sq/j9I8g3AGe0dS5PciZwXJL9aR5BPgY4tarGHXqSJEnTY8aTlKo6LcnmwBE0T+VcDOxRVTe3VbajeepmpP55SfYBjgSOonmZ254d70iBZuLtfJr3nmwCfL9t876OOn9Dk5icw+9f5vbWfl/fNFlJ8/K67ttRxlt3YhrPeMMe03jrdryZijklaZ9ckSRJGirD8DI3SZKkhzBJkSRJQ8kkRZIkDSWTFEmSNJRMUtZhSV6Y5KtJbkhSSfYccLwlSS5Ick+SW5KckWSHAcY7IMmlSe5ut/OT/Nmg4o0S/9D26/qxAbV/WNt+53bFIGJ1xNwmyeeT3Jbkt0kuS/KsAcZbPso1VpJjBxRvdpIPJrmmvb5fJHlfOt5iNYCYC5J8LMkv25jnJXl2n9oe93s8jSOS3NjGPjvJEwYcc68k32r/D1WSHQcVL8kGST7c/j+9t61z0lQWgp3A9R2W5Io23h3t1/S5g4rXVfdTbZ2DBhUvyWdH+X48s9d4g2aSsm6bD1wCHDhN8XYFjgV2oXmB3gbAt5LMH1C864BDaRahfBZwLvBfSZ4yoHgPaH/J/ANw6YBD/Q+wVcf2gkEFSvKHwA+A3wF/BjwZeAdwx6BiAs/mwde3e1v+xQHF+yfgAJpV0Z/U7r+LZpXzQfl3muv6O+BpwLeAs5Ns04e21/Y9/i6aVyfsT/PCynuBs5JsOMCY82le6/BPU4gx0XiPAHaiedfVTsBewA7AVwYUD+B/af7/PI3m+3E5zc+5zQcUD4Akr6T52TrVd3VNJN6ZPPj78q+nGHNwZnKBQbf+bTQLNe05zTE3b+O+cBpj3g7sN+AYj6T5QfUS4DvAxwYU5zDg4mn82n0I+N50/h8ZpQ8fA35O+/qDAbT/NeD4rrLTgc8PKN4fAKuBl3eVXwQc2edYD/oeB0Kz9MchHWUbA/cBew8iZtexx7bHdxzUNY5R59ltve2mKd5Gbb3dBhUP2Ibmj7Kn0CRFBw3q6wl8FjijX/9mg94cSdFUbNx+HPgii+0w/t40fyWMtWRCvxwLfL2qzh5wHIAntMOyVyc5Ocl2A4z1F8CFSb7Y3q77SZI3DjDegySZC/wt8Jlqf1oOwHnAbkn+uI35DJq/hr85oHhzgNk0iUGn3zLAUbHW42hegPnA/9OquotmaY9FA449kzam+eV756ADtf9n3wTcRTM6MYgYs4DPAR+pqv8ZRIxRLG5/BlyZ5P8ledQ0xZ20GX/jrNZN7TfWx4Af1IPf9tvvOE+jSUo2BFYAr6yqnw0w3t40w8p9mVOwFsuA1wFX0gy5fgD4XpKnVtUgVij9I5pbIUtp3tb8bOATSVZV1YkDiNdtT5o3QH92gDE+RPOX7xVJ7qdJIN5TVScPIlhV3ZPkfOB9SS4HbqYZOl9EM2I0SFu2H2/uKr+549jDSnsb68PAKTXABfKSvAI4leZ2043A7lV164DC/RPNaNwnBtR+tzOBL9EsGbM9zc+CbyZZVFX3T1MfJswkRb06Fngqg/9r8UpgR5q/nv4/mnWedh1EopLk0TRrQ+1eD15CYSCqqvOv+0uTLAN+CbwaOH4AIWcBF1bVu9v9nyR5Ks18hulIUvYDvlmDXR/r1TRLXuxDM99nR+BjSW4YYCL2d8BngOtpVnX/MXAKzVwq9UmSDYAv0NzmOmDA4b5N839nM+CNwBeSPLeqbulnkDSL3L4N2GmAo4sPUlWnduxeluRS4BfAYpplYoaKt3s0aUmOAV4BvKiqrhtkrKpaVVU/r6qLqllk8hKab+pB2BlYCPw4yeokq2kmC7+13Z89oLgAVNWdNHNhHj+gEDcC3cnd5TTrYw1UksfQzPH59wGH+gjwoao6taouq6rPAR8FlqzlvJ5V1S+qaleauUyPrqrn0Ewqv3pQMVs3tR+36CrfouPYw0JHgvIYmj8iBjaKAlBV97Y/d35YVfvRjHTsN4BQf0LzM+dXHT9zHgP83yTLBxDvIarqauBWBvdzZ0pMUjRh7eOOxwCvBF5cVdfMQDdmAfMG1PY5NDP6d+zYLgROppkcONCh0CSPpBl+vXFAIX5A82REpz+mGb0ZtH2BW2hWLh+kR9CxIGnrfqbhZ137i+3G9imqlwL/NeCQ19AkI7uNFCTZiOYpn0HP25o2HQnKE4CXVNVtM9CNQf3c+RzwdB78M+cGmmT7pQOI9xBJtgUexeB+7kyJt3vWYe0vtc7s93HtOwtur6pfDSDksTTD6H8J3JNk5L73XVX1234HS3I0zYTHXwEL2tiLGdA3bzsP5EHza5LcC9w2iHk3Sf4F+CpNkrA1zeqk99PcKhiEjwLnJXk3zQ/959BMCnzTgOIBD8xf2hc4sapWDzIWzdfzPUl+RXO755nAwTS3YwYiyUtpbkFcSfP9+BHgCuCEPrQ97vd4mnf4vDfJVTRJywdpfsmdMcCYm9KMvo28q2SHNK+huamqJj2CM148ml+c/0kzT+wVwOyOnzu3V9WqPse7DXgPzSPON9Lc7jmQ5umbnh6bn8DP6du66v+O5mt5Zb/jtdsHaJ54u4nmj6J/ppk/dVYv8QZuph8vcut9o/mFXaNsnx1QvNFiFfC6AcU7nuZxvJU0f4WfTTPUO51f4+8wuEeQT6X5hbKS5vHDU4HtB3w9rwAuo3ka5XLgjdPwNfzT9v/JH09DrAU0E7p/SfOEzS+AI4G5A4z56jbOSppfbMcAG/ep7XG/x2mSoyNofuHc136PTOnrPIGYrxvj+GH9jsfvH3MebVs8gHgb0kwqvb7997yBZkTs2YP6eo5SfzlTeAR5Ldf3BzTJyC3AqjbWp4EtBvX9MdUt7UVJkiQNFeekSJKkoWSSIkmShpJJiiRJGkomKZIkaSiZpEiSpKFkkiJJkoaSSYokSRpKJimSxpXkO+2bTcerszzJQdPTI0nrC5MUSf3wbJo3Vz5sJakkew6obZM8aRSu3SNpyqrq14OOkWRu9bBWi6R1lyMpkiZiTpJjktyV5NYkH0y7qhw8dCSgHXV4Q5IvJ/lNkquS/EXH8dlJjk9yTZLfJrkyyds6Ayb5bJIzkrwnyQ3AlUnen+Qhiz0muTjJB8fqfJJdk/woycokNyb5UJI5HccfMpLRtnnYyPG2+MvttS1vyw9r6/1Dkmvba/1Cko072nnI7bL2uj47chx4DPDRtm3XKpFaJimSJuK1wGqalZPfRrOy8BvWcs4HaFZbfjrwDeDkdgVdaH72XAe8CngyzSJ5RyV5dVcbuwE7ALvTLI74GeBJSZ49UiHJM9sYo646nGSbNv4FwDOAA4D9gPeu7aI7jMTbF9iqYx+aFWdfDfw5sAfNysv/Oom296L5Wry/bXurSZwrPax5u0fSRFwLvL2aFUmvTPI04O3AceOc89mqOgUgybuBt9IkOWdW1e9okpgR1yRZRPPL/gsd5fcCb+i8zZPkLJpk4YK2aF/gu1V19Rj9eHPb/39s+39Fkq2BDyc5oqrWrO3iq+rX7cDRnVV1U9fhDYG/r6rr2/69Bfh6kneMUne0tm9Pcj9wz0TqS+sTR1IkTcQP68FLpp8PPCHJ7HHOuXTkk6q6F7gbWDhSluTAJBcl+XWSFcCbgO262rhslHkoxwF/nWTDJHOBfWhGWMbyJOD8rv7/AHgksO04503Ur0YSlNb5ND9bd+hD29J6zZEUSYPyu679ov3DKMnewL8A76D5pX4P8E7guV3n3DtKu18FVgKvBFYBGwD/OcW+rgHSVbbBFNucjralhzWTFEkT0Z087AJcVVX399je84HzquqBuRtJtp/IiVW1OsmJNLd5VgGnVtVvxznlcuCvkqRjNOX5NInRde3+r+mYC5JkI+BxXe38Dhht5Gi7JFtX1Q3t/i40icmVY7Q9G3gq8O2ONlaN0ba0XvN2j6SJ2C7J0iQ7JPlr4C3Ax6fQ3lXAs5K8NMkft0/mPHttJ3X4d+DFNBNVx7vVA80k1kcDn0zyxCR/CRwOLO2Yj3Iu8HdJ/qSdb3Mi0J2ALQd2S7Jlkj/sKL8PODHJM5L8CfAJ4Asd80vOBV6e5OVJngj8P2CTUdp+YZJtkmw2geuX1gsmKZIm4iTgD4AfAcfSJChTeXnbvwFfAk4DlgGPYhJPxFTVVcB5wBVVtWwtda8HXkYzafcS4FPA8cCRHdWOBr4LfA34OnAG8Iuupt5B85TRtcBPOsp/3l7LN4Bv0czFeXPH8c/QJD0ntTGu5sGjKNA82fPYNubA3zkjrSvy4LlkkjT82ne0XAX8a1UtncF+HAbsWVU7zlQfpIcz56RIWqck2RzYG9iSMd6NIunhwSRF0rrmFuBW4E1VdcdMd0bS4Hi7R5IkDSUnzkqSpKFkkiJJkoaSSYokSRpKJimSJGkomaRIkqShZJIiSZKGkkmKJEkaSiYpkiRpKJmkSJKkofT/A7LRUNwEu7wpAAAAAElFTkSuQmCC\n",
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\n",
       "text/plain": [
-       "<Figure size 600x400 with 1 Axes>"
+       "<Figure size 640x480 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -679,30 +667,28 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 20,
    "id": "da477775",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<AxesSubplot:xlabel='binary output', ylabel='probability amplitude'>"
+       "<Axes: xlabel='binary output', ylabel='probability amplitude'>"
       ]
      },
-     "execution_count": 19,
+     "execution_count": 20,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
-       "<Figure size 600x400 with 1 Axes>"
+       "<Figure size 640x480 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -712,30 +698,28 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 21,
    "id": "057c57e0",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<AxesSubplot:xlabel='binary output', ylabel='probability amplitude'>"
+       "<Axes: xlabel='binary output', ylabel='probability amplitude'>"
       ]
      },
-     "execution_count": 20,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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Yp6quHncxkiRJU0aZk3Ix8NhxFyJJktRrlDMpHwI+kOS9wBU0l34eVFWXj6MwSZK0sI0SUs5sf36sp61w4qwkSRqjUULK48dehSRJUp9Zz0mpqh/PtMx2vCRHJ1mR5P4ky5PsP0PfpyY5q+1fSY4ZZcwkj0ry4SS3Jbm3HXOn2dYuSZLmz8hvQU7ylCSHJPnt3mWWY7wcWAYcD+wLXAacm2THAbs8GrgOeCuwcg5jvg/4LeClwPOBXYHPz6Z2SZI0v0Z5C/J/A74A/Cq/nIsCv3xeymzmpBwLnFJVp7VjHwW8GHgl8O7+zlV1EXBR2/dh24cZM8nWwJHAEVX19bbPK4AfJDmgqr4zi/olSdI8GeVMygeAHwE7Aj8Dngo8j+bW5CXDDpJkEbAfcN5UW1Wta9cPHKGuYcfcD9i8r89VwE9mOm6SxX2P/99ylBolSdJwRgkpBwJvr6pVwDpgXVV9C1gKfHAW42xPc9bllr72W4CdR6hr2DF3BtZU1Z2zPO5S4K6e5YYRa5QkSUMYJaRsCtzT/r6KZj4HwI+BvcZRVEedBGzds+w+2XIkSXpkG+UW5CuBZ9Bc8lkO/HmSNcCraSa1DmsV8ADQf1fNTgyYFDumMVcCi5Js03c2ZcbjVtVqYPXUepJBXSVJ0hiMciblxJ793k7z3JR/A14EvH7YQapqDXAJcNBUW5JN2vULRqhr2DEvoXlKbm+fvYA9Rj2uJEkav1mfSamqc3t+vxZ4UpJtgTuqarZvRF4GnJ7kYuBC4BhgC2DqzpwzgBuramm7vgh4SrvvImC3JHsD97a1rHfMqroryanAsiS3A3fTPOr/Au/skSSpO0a53PMwVXX7iPudmWQH4ASaSauXAodU1dTE1z1oJudO2RX4Xs/6m9vlfNo7i4YYE+CN7bhnAYuBc4HXjvIZJEnS/BhLSJmLqjoZOHnAtiV96yv45XNZRhqz3X4/cHS7SJKkDhr5ibOSJEnzyZAiSZI6adYhJckW81GIJElSr1HOpNyS5GNJnjv2aiRJklqjhJQ/BLYFvp7kP5O8Ncmu69tJkiRpNmYdUqrq7Ko6FNgN+AhwBPDjJF9McliSid8xJEmSNn4jT5ytqp9W1bKqejpwLPBC4J+Am5KckOTR4ypSkiQtPCOf9UiyE/DHwJ8Aj6MJKKfSvHjvL4ADgP8x9xIlSdJCNOuQkuQw4BXAbwLfB/4O+Mfel/Ul+TbwgzHVKEmSFqBRzqScBnwGeE5VXTSgz03A/x65KkmStOCNElJ2qaqfzdShqn4OHD9aSZIkSaNNnL0nyY79jUm2S/LAGGqSJEkaKaQMesHfYmDNHGqRJEl60NCXe5K8vv21gFclubdn86bA84CrxlibJElawGYzJ+WN7c8ARwG9l3bWACvadkmSpDkbOqRU1eMBknwDOKyq7pi3qiRJ0oI367t7quoF81GIJElSr6FCSpJlwNuq6r7294Gq6tixVCZJkha0Yc+k7ANs3vP7IDW3ciRJkhpDhZTeSzxe7pEkSRvCyG9BliRJmk/Dzkn5/LADVtVho5cjSZLUGHZOyl3zWoUkSVKfYeekvGK+C5EkSerlnBRJktRJw85J+S5wUFXdkeR7zHCrcVXtO67iJEnSwjXsnJT/B6xufz97fkqRJEn6pWHnpBw/3e+SJEnzZdbv7pmS5JnAk9vV71fVJeMpSZIkaYSJs0l2T/JvwIXAB9rloiTfSrL7KEUkOTrJiiT3J1meZP/19H9pkqva/lckeVHf9hqwvKWnz4pptr91lPolSdL4jXJ3z/+leY/Pk6tq26raluaMyibttllJ8nJgGXA8sC9wGXBukh0H9P814NPAqTTvETobODvJ03q67dK3vJJmsu9ZfcO9va/fh2ZbvyRJmh+jhJTnA6+pqqunGtrf/wx43gjjHQucUlWnVdX3gaOAn9EEi+m8ATinqt5bVT+oqrcB3wVe11PPyt4F+B3gG1V1Xd9Y9/T1vW+E+iVJ0jwYJaRczy/fiNxrU+Cm2QyUZBGwH3DeVFtVrWvXDxyw24G9/VvnDuqfZCfgxTRnXvq9NcltSb6X5C1JBs7RSbI4yVZTC7DloL6SJGnuRgkpbwE+1E6cBR6cRPsB4M2zHGt7mnBzS1/7LcDOA/bZeZb9/xi4B+h//9AHgcOBFwD/APwl8Dcz1LqU5vUAU8sNM/SVJElzNOzD3O7goQ9w2wJYnmRtzzhrgY/RveeovBL4ZFXd39tYVct6Vi9Psgb4hyRLq2o1D3cSzdyZKVtiUJEkad4MewvyMfN0/FXAA8BOfe07ASsH7LNy2P5Jfh3YC3j5ELUsp/nz+BXg6v6NbXB5MLwkGWJISZI0qmEf5nb6fBy8qtYkuQQ4iPYMTJJN2vWTB+x2Qbv9/T1tB7ft/Y4ELqmqy4YoZ29gHXDrEH0lSdI8G/lhbgBJHgUs6m2rqrtnOcwy4PQkF9M8e+UYmstJp7XHOAO4saqWtv0/AJyf5E3Al2jmlTwTeHVfbVsBLwXeNE3dBwLPBr5BM1/lQOB9wD9W1R2zrF+SJM2DWYeUJFsA7wFeBmw3TZdNZzNeVZ2ZZAfgBJrJr5cCh1TV1OTYPWjOcEz1/3aSI4ATgXcB1wCHVtWVfUMfDoTmmSr9VrfbjwMWAz+iCSnLpukrSZImYJQzKX9Dc0fMa4BPAEcDuwH/Cxjpia1VdTIDLu9U1ZJp2j4HfG49Y34U+OiAbd8FDph1oZIkaYMZJaT8FvBHVfXNJKcB/1ZV1yb5MfAHwCfHWqEkSVqQRnlOyrbA1JNb727XAb7FaE+clSRJephRQsp1wOPb36+imZsCzRmWO8dQkyRJ0kgh5TTgGe3v7waOTnI/zcTT946rMEmStLDNek5KVb2v5/fzkjyZ5u3F11bV5eMsTpIkLVxzek4KQFWtAFbMuRJJkqQeo1zuIclBSb6Y5Ift8sUkLxx3cZIkaeGadUhJ8lrgHJontX6gXe4Gvpzk6PGWJ0mSFqpRLvf8JfDG9gFsUz6Y5N/bbR8eS2WSJGlBG+VyzzY0Z1L6fRXYek7VSJIktUYJKf8M/O407b8DfHFu5UiSJDWGutyT5PU9q98H/irJEuCCtu0A4DnA/xlncZIkaeEadk7KG/vW7wCe0i5T7gReSfN2YkmSpDkZKqRU1ePX30uSJGl8RnpOypS0xlWMJEnSlFEf5vZHSa4Afg78PMnlSf7neEuTJEkL2ayfk5LkWOCdwMnAv7fNzwU+kmT73nf7SJIkjWqUh7n9GfCaqjqjp+2fk/wHcBzN25AlSZLmZJTLPbsA356m/dvtNkmSpDkbJaRcC7xsmvaXA9fMrRxJkqTGKJd73gGcmeR5/HJOynOAg5g+vEiSJM3arM+kVNVZwP7AKuDQdlkF7F9VXxhncZIkaeGa1ZmUJJsD/wC8s6r+cH5KkiRJmuWZlKr6BfB781SLJEnSg0aZOHs2zSUeSZKkeTPKxNlrgLcneQ5wCXBf78aq+uA4CpMkSQvbKCHlSJo3Hu/XLr0KMKRIkqQ5m3VI8Y3IkiRpQ+jEW5CTHJ1kRZL7kyxPsv96+r80yVVt/yuSvKhv+8eTVN9yTl+fbZN8MsndSe5McmqSx8z1s0iSpPEY9S3IRya5ErgfuD/JlUleNeJYLweWAccD+wKXAecm2XFA/18DPg2cCuxDM5H37CRP6+t6Ds1j+qeW3+/b/kngqcDBwEuA5wEfHeUzSJKk8Zt1SElyAvAB4F+Al7bLvwDva7fN1rHAKVV1WlV9HzgK+BnwygH93wCcU1XvraofVNXbgO8Cr+vrt7qqVvYsd/R8hicDhwCvqqrlVfUtmhcnHp5k1xE+gyRJGrNRzqS8BvjTqlpaVf/cLkuBVwOvnc1ASRbRTL49b6qtqta16wcO2O3A3v6tc6fpvyTJrUmuTvL3SbbrG+POqrq4p+08YB3w7AG1Lk6y1dQCbLmejydJkuZglJCyOXDxNO2XMPuJuNsDmwK39LXfAuw8YJ+dh+h/DvBHNO8T+gvg+cBXkmzaM8atvQNU1Vrg9hmOuxS4q2e5YUA/SZI0BqOElE/QnE3p92qaeR4TV1Wfac/wXFFVZ9PMOXkWsGQOw54EbN2z7D7XOiVJ0mCjPCcF4Mgk/wP4Trv+bGAP4Iwky6Y6VdWx6xlnFfAAsFNf+07AygH7rJxlf6rquiSrgCcAX2v7PmRibpLNgG0HjVNVq4HVPf0HHU6SJI3BKGdSnkYzUfWnwJ7tsqptexrNHTf7AHuvb6CqWkNzmeigqbYkm7TrFwzY7YLe/q2DZ+hPkt2B7YCbe8bYJknvw+h+g+bPY/n66pYkSfNvlIe5vWDMNSwDTk9yMXAhcAywBXAaQJIzgBvbybnQ3Fl0fpI3AV8CDgeeSXO5ifZZJ+8AzqI5K7In8DfAtTQTbKmqH7TPTTklyVE082xOBj5TVTeN+fNJkqQRjHq5Z2yq6swkOwAn0ExavRQ4pKqmJsfuQXPXzVT/byc5AjgReBfNu4QOraor2y4PAE8H/hjYBrgJ+CrwtvaSzZQ/oAkmX2vHPwt4/Tx8REmSNIKJhxSAqjqZJjBMt23JNG2fAz43oP/Pgd8c4pi3A0fMqlBJkrTBzOmx+JIkSfPFkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjqpEyElydFJViS5P8nyJPuvp/9Lk1zV9r8iyYt6tm2e5D1t+31JbkpyRpJd+8ZYkaT6lrfO12eUJEmzM/GQkuTlwDLgeGBf4DLg3CQ7Duj/a8CngVOBfYCzgbOTPK3t8uh2nHe2Pw8D9gL+eZrh3g7s0rN8aCwfSpIkzdnEQwpwLHBKVZ1WVd8HjgJ+BrxyQP83AOdU1Xur6gdV9Tbgu8DrAKrqrqo6uKo+W1VXV9V32m37Jdmjb6x7qmplz3LfvHxCSZI0axMNKUkWAfsB5021VdW6dv3AAbsd2Nu/de4M/QG2Bgq4s6/9rUluS/K9JG9JstkMtS5OstXUAmw5w/EkSdIcDfxHeQPZHtgUuKWv/RbgSQP22XlA/52n65zkUcB7gE9X1d09mz5IcwbmduDXgJNoLvkcO+C4S4F3DNgmSZLGbNIhZV4l2Rz4LBDgNb3bqmpZz+rlSdYA/5BkaVWtnma4k2jmzkzZErhhzCVLkqTWpEPKKuABYKe+9p2AlQP2WTlM/56A8jjgN/rOokxnOc2fx68AV/dvbIPLg+ElyXqGkyRJczHROSlVtQa4BDhoqi3JJu36BQN2u6C3f+vg3v49AeWJwAur6rYhytkbWAfcOmT5kiRpHk36TAo0l1BOT3IxcCFwDLAFcBpAkjOAG6tqadv/A8D5Sd4EfAk4HHgm8Oq2/+bAP9HcfvwSYNMkU/NVbq+qNUkOBJ4NfAO4h2bS7fuAf6yqO+b340qSpGFMPKRU1ZlJdgBOoJn8eilwSFVNTY7dg+YMx1T/byc5AjgReBdwDXBoVV3ZdtkN+O3290v7DvcC4Js0l20OB44DFgM/ogkpy5AkSZ0w8ZACUFUnAycP2LZkmrbPAZ8b0H8FzUTZmY73XeCA2dYpSZI2nC48zE2SJOlhDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTDCmSJKmTOhFSkhydZEWS+5MsT7L/evq/NMlVbf8rkryob3uSnJDk5iQ/T3Jekif29dk2ySeT3J3kziSnJnnMfHw+SZI0exMPKUleDiwDjgf2BS4Dzk2y44D+vwZ8GjgV2Ac4Gzg7ydN6uv058HrgKODZwH3tmI/q6fNJ4KnAwcBLgOcBHx3bB5MkSXMy8ZACHAucUlWnVdX3aYLFz4BXDuj/BuCcqnpvVf2gqt4GfBd4HTRnUYBjgBOr6v9V1eXAHwG7Aoe2fZ4MHAK8qqqWV9W3gD8DDk+y6zx9TkmSNAubTfLgSRYB+wEnTbVV1bok5wEHDtjtQJozL73OpQ0gwOOBnYHzesa8K8nydt/PtD/vrKqLe8Y4D1hHc+blC9PUuhhY3NO0JcDdd98942ccxaNqNQ+wduzjajwWr2u+d7+n7vI72jj4PW0cHlUPjP3fumHHm2hIAbYHNgVu6Wu/BXjSgH12HtB/557tDNHn1t6NVbU2ye09ffotBd7R3/jYxz52QHc9Ul0FbP22SVehmfgdbRz8njYeW79z3obeEhiYWCYdUjYmJ/HwMzjbArdPoJaNyZbADcDuwD0TrkXT8zvaOPg9bRz8noa3JXDTTB0mHVJWAQ8AO/W17wSsHLDPyvX0X9nTdnNfn0t7+jxkYm6SzWhCx7THrarVwOq+5vFf63mEaaYIAXBPVfnn1UF+RxsHv6eNg9/TrKz3z2eiE2erag1wCXDQVFuSTdr1CwbsdkFv/9bBPf1/RBM0esfcimauyVSfC4BtkuzXM8Zv0Px5LB/ls0iSpPGa9JkUaC6hnJ7kYuBCmjtztgBOA0hyBnBjVS1t+38AOD/Jm4AvAYcDzwReDVBVleT9wF8nuYYmtLyT5pTS2W2fHyQ5BzglyVHA5sDJwGeqasZTT5IkacOYeEipqjOT7ACcQDNp9VLgkKqamvi6B81dN1P9v53kCOBE4F3ANcChVXVlz7B/QxN0PgpsA3yrHfP+nj5/QBNMvtaOfxbNs1U0XqtpnoHTf6lM3eF3tHHwe9o4+D2NUapq0jVIkiQ9TBce5iZJkvQwhhRJktRJhhRJktRJhhRJktRJhhSNRZLnJfmXJDclqSSH9mzbPMl7klyR5L62zxm+zHHDmuk7arcfl+Sq9ju6I8l5SZ49oXIXrPV9T319P9L2OWbDVSgY6u/Tx9v23uWcCZW70TKkaFy2AC4Djp5m26OBfWmeV7MvcBiwF/DPG6w6wczfEcB/0rxN/FeB5wIrgK+2jwjQhrO+7wmAJL8LHMB6HiuueTPM93QOsEvP8vsboK5HlIk/J0WPDFX1FeAr8JDHQk9tu4vmqcAPSvI64MIke1TVTzZUnQvZTN9Ru/1TvetJjgWOBJ5O8zwhbQDr+57a9t2ADwG/SfNQS21gw3xPwOqqGvSKFw3BMymalK2BAu6ccB2aRpJFNE9xvovm/xbVEe2rQz4BvLeq/mPS9WhGS5LcmuTqJH+fZLtJF7Sx8UyKNrgkjwLeA3zaF3B1S5KXAJ+huUR3M3BwVa2abFXq8xfAWuCDky5EMzoH+DzNq1n2pHlC+leSHFhVD0y0so2IIUUbVJLNgc8CAV4z4XL0cN8A9ga2B/4U+GySZ1fVrROtSgC0L0V9A7Bv+bjwTquqz/SsXpHkcuCHwBK8fDo0L/dog+kJKI+j+T90z6J0TFXdV1XXVtV3qupImv9jP3LSdelBvw7sCPwkydoka2n+Pv2fJCsmWplmVFXXAauAJ0y6lo2JZ1K0QfQElCcCL6iq2yZckoazCbB40kXoQZ8AzutrO7dtP23Dl6NhJdkd2I7mMqqGZEjRWCR5DA/9P4THJ9kbuJ3mL+U/0dx+/BJg0yQ7t/1ur6o1G7LWhWo939FtwF/R3BZ+M83lnqOB3YDPbdhKF7aZvqf2Trjb+vr/AlhZVVdvuCq1nr9PtwPvAM4CVtLMSfkb4FqaUKkh+RZkjUWSJTTzGfqdDhxHM3lsOi+oqm/OS1F6iPV8R0cBnwKeTRNQbgMuAk6sqos2UIli5u+pqv5kmv4rgPdX1fvnsy491Hr+Pr0GOBvYB9iG5lk2XwXeVlW3bJACHyEMKZIkqZOcOCtJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJJkjrJkCJpRkm+meT96+mzIskxG6YiSQuFIUXSODwL+Oiki5hPSSrJofM0tiFPmobv7pE0Z1X10/k+RpJFvudJWlg8kyJpGJslOTnJXUlWJXlnkkxt7D8T0J51eFWSLyT5WZJrkvx2z/ZNk5ya5EdJfp7k6iRv6D1gko8nOTvJXyW5Cbg6yduTXNlfXJJLk7xzUPFJnp/kwiSrk9yc5N1JNuvZ/rAzGe2Yx01tb5u/0H62FW37cW2//5Xk+vazfjbJ1j3jPOxyWfu5Pj61HXgc8L52bN9VIrUMKZKG8cfAWmB/4A3AscCr1rPPO4DPAk8Hvgx8Msm27bZNgBuAlwJPAU4A3pXkZX1jHATsBRxM8wbtjwFPTvKsqQ5J9mmPcdp0RSTZrT3+RcAzaF7+diTw1+v70D2mjvcKYJeedWjehPsy4LeAQ2heKvd3sxj7MJo/i7e3Y+8yi32lRzQv90gaxvXAG6t5I+nVSX4VeCNwygz7fLyqPg2Q5C+B19OEnHOq6hc0IWbKj5IcSPOP/Wd72u8DXtV7mSfJuTRhYertzK8Azq+q6wbU8dq2/te19V+VZFfgPUlOqKp16/vwVfXT9sTRnVW1sm/zo4A/qqob2/r+DPhSkjdN03e6sW9P8gBwzzD9pYXEMymShvGdeugr0y8Anphk0xn2uXzql6q6D7gb2HGqLcnRSS5J8tMk9wKvBvboG+OKaeahnAL8fpJHJVkEHEFzhmWQJwMX9NX/78BjgN1n2G9YP5kKKK0LaP7butcYxpYWNM+kSJovv+hbL9r/MUpyOPC3wJto/lG/B3gL8Oy+fe6bZtx/AVYDvwusATYH/mmOta4D0te2+RzH3BBjS49ohhRJw+gPDwcA11TVAyOO9xzg21X14NyNJHsOs2NVrU1yOs1lnjXAZ6rq5zPs8gPg95Kk52zKc2iC0Q3t+k/pmQuSZCvg8X3j/AKY7szRHkl2raqb2vUDaILJ1QPG3hR4GvCNnjHWDBhbWtC83CNpGHskWZZkryS/D/wZ8IE5jHcN8Mwkv5nkv7d35jxrfTv1+L/Ab9BMVJ3pUg80k1gfC3woyZOS/A5wPLCsZz7K14H/meTX2/k2pwP9AWwFcFCSnZP81572+4HTkzwjya8DHwQ+2zO/5OvAi5O8OMmTgL8Htplm7Ocl2S3J9kN8fmlBMKRIGsYZwH8BLgQ+TBNQ5vLwtn8APg+cCSwHtmMWd8RU1TXAt4Grqmr5evreCLyIZtLuZcBHgFOBE3u6nQScD3wR+BJwNvDDvqHeRHOX0fXA93rar20/y5eBr9LMxXltz/aP0YSeM9pjXMdDz6JAc2fPr7THnPdnzkgbizx0LpkkdV/7jJZrgL+rqmUTrOM44NCq2ntSNUiPZM5JkbRRSbIDcDiwMwOejSLpkcGQImljcyuwCnh1Vd0x6WIkzR8v90iSpE5y4qwkSeokQ4okSeokQ4okSeokQ4okSeokQ4okSeokQ4okSeokQ4okSeokQ4okSeokQ4okSeqk/x87fM7sbQM3bwAAAABJRU5ErkJggg==\n",
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\n",
       "text/plain": [
-       "<Figure size 600x400 with 1 Axes>"
+       "<Figure size 640x480 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -768,7 +752,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.13"
+   "version": "3.9.16"
   }
  },
  "nbformat": 4,
diff --git a/notebooks/1. Basic Usage/1.3 importing_hamiltonian_data.ipynb b/notebooks/1. Basic Usage/1.3 importing_hamiltonian_data.ipynb
index 704c957d..2d6eeaf2 100644
--- a/notebooks/1. Basic Usage/1.3 importing_hamiltonian_data.ipynb	
+++ b/notebooks/1. Basic Usage/1.3 importing_hamiltonian_data.ipynb	
@@ -57,107 +57,107 @@
     {
      "data": {
       "text/plain": [
-       "['C_STO-3G_TRIPLET_JW.json',\n",
-       " 'H2_6-31G_SINGLET_JW.json',\n",
-       " 'HCl_STO-3G_SINGLET_BK.json',\n",
-       " 'HeH+_6-311G_SINGLET_BK.json',\n",
-       " 'BeH2_STO-3G_SINGLET_JW.json',\n",
-       " 'NH4+_STO-3G_SINGLET_BK.json',\n",
-       " 'SiH4_STO-3G_SINGLET_JW.json',\n",
-       " 'LiOH_STO-3G_SINGLET_JW.json',\n",
-       " 'H2O_STO-3G_SINGLET_BK.json',\n",
-       " 'LiOH_STO-3G_SINGLET_BK.json',\n",
-       " 'OH-_STO-3G_SINGLET_BK.json',\n",
-       " 'Be_STO-3G_SINGLET_JW.json',\n",
-       " 'O2_STO-3G_TRIPLET_JW.json',\n",
-       " 'BeH+_STO-3G_SINGLET_BK.json',\n",
-       " 'H3+_3-21G_SINGLET_BK.json',\n",
-       " 'H3+_3-21G_SINGLET_JW.json',\n",
-       " 'H3+_STO-3G_SINGLET_JW.json',\n",
-       " 'HCN_STO-3G_SINGLET_JW.json',\n",
-       " 'H4_STO-3G_SINGLET_BK.json',\n",
-       " 'NH2-_STO-3G_SINGLET_BK.json',\n",
-       " 'LiH_STO-3G_SINGLET_JW.json',\n",
-       " 'CH2_STO-3G_TRIPLET_JW.json',\n",
-       " 'H6_STO-3G_SINGLET_JW.json',\n",
-       " 'H2O_STO-3G_SINGLET_JW.json',\n",
+       "['MgH2_STO-3G_SINGLET_BK.json',\n",
+       " 'Mg_STO-3G_SINGLET_JW.json',\n",
+       " 'HOOH_STO-3G_SINGLET_JW.json',\n",
+       " 'OH-_STO-3G_SINGLET_JW.json',\n",
+       " 'NaH_STO-3G_SINGLET_JW.json',\n",
+       " 'HCN_STO-3G_SINGLET_BK.json',\n",
+       " 'N2_STO-3G_SINGLET_BK.json',\n",
+       " 'B_STO-3G_DOUBLET_JW.json',\n",
        " 'CH+_STO-3G_SINGLET_BK.json',\n",
+       " 'H2S_STO-3G_SINGLET_JW.json',\n",
+       " 'NH_STO-3G_SINGLET_JW.json',\n",
+       " 'LiOH_STO-3G_SINGLET_BK.json',\n",
+       " 'BH_STO-3G_SINGLET_BK.json',\n",
+       " 'HCl_STO-3G_SINGLET_JW.json',\n",
        " 'CH2_STO-3G_TRIPLET_BK.json',\n",
+       " 'NaCl_STO-3G_SINGLET_BK.json',\n",
+       " 'F2_STO-3G_SINGLET_JW.json',\n",
+       " 'Be_STO-3G_SINGLET_BK.json',\n",
+       " 'LiH_3-21G_SINGLET_BK.json',\n",
+       " 'HeH+_6-311G_SINGLET_JW.json',\n",
+       " 'O2_STO-3G_TRIPLET_BK.json',\n",
+       " 'H2_6-31G_SINGLET_BK.json',\n",
+       " 'CH3OH_STO-3G_SINGLET_BK.json',\n",
+       " 'NH2-_STO-3G_SINGLET_BK.json',\n",
+       " 'H2_3-21G_SINGLET_BK.json',\n",
        " 'BeH+_STO-3G_SINGLET_JW.json',\n",
-       " 'Li_STO-3G_DOUBLET_BK.json',\n",
-       " 'H6_STO-3G_SINGLET_BK.json',\n",
-       " 'NH_STO-3G_SINGLET_JW.json',\n",
+       " 'H2_6-31G_SINGLET_JW.json',\n",
        " 'CH3OH_STO-3G_SINGLET_JW.json',\n",
-       " 'HF_3-21G_SINGLET_BK.json',\n",
-       " 'HeH+_3-21G_SINGLET_JW.json',\n",
-       " 'LiH_STO-3G_SINGLET_BK.json',\n",
-       " 'NaCl_STO-3G_SINGLET_BK.json',\n",
-       " 'N_STO-3G_QUARTET_BK.json',\n",
-       " 'B+_STO-3G_SINGLET_JW.json',\n",
-       " 'Li_STO-3G_DOUBLET_JW.json',\n",
-       " 'NaH_STO-3G_SINGLET_JW.json',\n",
-       " 'MgH2_STO-3G_SINGLET_BK.json',\n",
-       " 'NH_STO-3G_SINGLET_BK.json',\n",
        " 'NH2-_STO-3G_SINGLET_JW.json',\n",
-       " 'H4_STO-3G_SINGLET_JW.json',\n",
-       " 'Mg_STO-3G_SINGLET_BK.json',\n",
-       " 'CH3OH_STO-3G_SINGLET_BK.json',\n",
-       " 'CO2_STO-3G_SINGLET_JW.json',\n",
-       " 'CH4_STO-3G_SINGLET_JW.json',\n",
+       " 'O2_STO-3G_TRIPLET_JW.json',\n",
+       " 'BeH+_STO-3G_SINGLET_BK.json',\n",
+       " 'H2_3-21G_SINGLET_JW.json',\n",
+       " 'Be_STO-3G_SINGLET_JW.json',\n",
+       " 'F2_STO-3G_SINGLET_BK.json',\n",
+       " 'HeH+_6-311G_SINGLET_BK.json',\n",
+       " 'LiH_3-21G_SINGLET_JW.json',\n",
+       " 'HCl_STO-3G_SINGLET_BK.json',\n",
        " 'NaCl_STO-3G_SINGLET_JW.json',\n",
-       " 'H3+_STO-3G_SINGLET_BK.json',\n",
-       " 'NH3_STO-3G_SINGLET_JW.json',\n",
-       " 'OH-_STO-3G_SINGLET_JW.json',\n",
-       " 'H3O+_STO-3G_SINGLET_JW.json',\n",
+       " 'CH2_STO-3G_TRIPLET_JW.json',\n",
+       " 'NH_STO-3G_SINGLET_BK.json',\n",
+       " 'H2S_STO-3G_SINGLET_BK.json',\n",
        " 'BH_STO-3G_SINGLET_JW.json',\n",
-       " 'HF_STO-3G_SINGLET_BK.json',\n",
+       " 'LiOH_STO-3G_SINGLET_JW.json',\n",
+       " 'HCN_STO-3G_SINGLET_JW.json',\n",
+       " 'CH+_STO-3G_SINGLET_JW.json',\n",
+       " 'N2_STO-3G_SINGLET_JW.json',\n",
+       " 'B_STO-3G_DOUBLET_BK.json',\n",
+       " 'OH-_STO-3G_SINGLET_BK.json',\n",
        " 'NaH_STO-3G_SINGLET_BK.json',\n",
-       " 'O2_STO-3G_TRIPLET_BK.json',\n",
-       " 'CO2_STO-3G_SINGLET_BK.json',\n",
-       " 'HeH+_6-311G_SINGLET_JW.json',\n",
-       " 'N2_STO-3G_SINGLET_BK.json',\n",
-       " 'NeH+_STO-3G_SINGLET_BK.json',\n",
-       " 'C_STO-3G_TRIPLET_BK.json',\n",
-       " 'H2_6-311G_SINGLET_BK.json',\n",
-       " 'B_STO-3G_DOUBLET_JW.json',\n",
-       " 'BeH2_STO-3G_SINGLET_BK.json',\n",
-       " 'B+_STO-3G_SINGLET_BK.json',\n",
-       " 'HeH+_3-21G_SINGLET_BK.json',\n",
-       " 'HCN_STO-3G_SINGLET_BK.json',\n",
-       " 'N_STO-3G_QUARTET_JW.json',\n",
-       " 'HF_STO-3G_SINGLET_JW.json',\n",
        " 'HOOH_STO-3G_SINGLET_BK.json',\n",
-       " 'CH+_STO-3G_SINGLET_JW.json',\n",
-       " 'CH4_STO-3G_SINGLET_BK.json',\n",
-       " 'H2S_STO-3G_SINGLET_BK.json',\n",
+       " 'Mg_STO-3G_SINGLET_BK.json',\n",
        " 'MgH2_STO-3G_SINGLET_JW.json',\n",
+       " 'H3O+_STO-3G_SINGLET_BK.json',\n",
+       " 'CO_STO-3G_SINGLET_BK.json',\n",
+       " 'HeH+_3-21G_SINGLET_BK.json',\n",
+       " 'HF_3-21G_SINGLET_BK.json',\n",
+       " 'H3+_STO-3G_SINGLET_JW.json',\n",
+       " 'BeH2_STO-3G_SINGLET_JW.json',\n",
+       " 'CO2_STO-3G_SINGLET_JW.json',\n",
+       " 'H4_STO-3G_SINGLET_BK.json',\n",
+       " 'H3+_3-21G_SINGLET_BK.json',\n",
+       " 'HF_STO-3G_SINGLET_BK.json',\n",
+       " 'LiH_STO-3G_SINGLET_JW.json',\n",
+       " 'CH4_STO-3G_SINGLET_JW.json',\n",
        " 'BH2+_STO-3G_SINGLET_JW.json',\n",
-       " 'Mg_STO-3G_SINGLET_JW.json',\n",
-       " 'B_STO-3G_DOUBLET_BK.json',\n",
-       " 'NH4+_STO-3G_SINGLET_JW.json',\n",
-       " 'H2_6-311G_SINGLET_JW.json',\n",
-       " 'F2_STO-3G_SINGLET_JW.json',\n",
-       " 'HF_3-21G_SINGLET_JW.json',\n",
+       " 'C_STO-3G_TRIPLET_JW.json',\n",
+       " 'H6_STO-3G_SINGLET_JW.json',\n",
+       " 'H2O_STO-3G_SINGLET_BK.json',\n",
+       " 'N_STO-3G_QUARTET_JW.json',\n",
+       " 'NH4+_STO-3G_SINGLET_BK.json',\n",
        " 'NeH+_STO-3G_SINGLET_JW.json',\n",
-       " 'H3O+_STO-3G_SINGLET_BK.json',\n",
-       " 'O_STO-3G_TRIPLET_JW.json',\n",
-       " 'BH_STO-3G_SINGLET_BK.json',\n",
-       " 'H2_3-21G_SINGLET_JW.json',\n",
-       " 'HOOH_STO-3G_SINGLET_JW.json',\n",
+       " 'B+_STO-3G_SINGLET_JW.json',\n",
+       " 'Li_STO-3G_DOUBLET_BK.json',\n",
+       " 'H2_6-311G_SINGLET_BK.json',\n",
+       " 'SiH4_STO-3G_SINGLET_JW.json',\n",
        " 'NH3_STO-3G_SINGLET_BK.json',\n",
-       " 'N2_STO-3G_SINGLET_JW.json',\n",
-       " 'LiH_3-21G_SINGLET_BK.json',\n",
-       " 'H2S_STO-3G_SINGLET_JW.json',\n",
-       " 'CO_STO-3G_SINGLET_BK.json',\n",
-       " 'Be_STO-3G_SINGLET_BK.json',\n",
-       " 'H2_3-21G_SINGLET_BK.json',\n",
-       " 'H2_6-31G_SINGLET_BK.json',\n",
+       " 'H2_6-311G_SINGLET_JW.json',\n",
+       " 'NH3_STO-3G_SINGLET_JW.json',\n",
        " 'SiH4_STO-3G_SINGLET_BK.json',\n",
+       " 'NH4+_STO-3G_SINGLET_JW.json',\n",
+       " 'NeH+_STO-3G_SINGLET_BK.json',\n",
+       " 'B+_STO-3G_SINGLET_BK.json',\n",
+       " 'O_STO-3G_TRIPLET_JW.json',\n",
+       " 'Li_STO-3G_DOUBLET_JW.json',\n",
+       " 'H2O_STO-3G_SINGLET_JW.json',\n",
+       " 'N_STO-3G_QUARTET_BK.json',\n",
        " 'BH2+_STO-3G_SINGLET_BK.json',\n",
-       " 'F2_STO-3G_SINGLET_BK.json',\n",
+       " 'CH4_STO-3G_SINGLET_BK.json',\n",
+       " 'H6_STO-3G_SINGLET_BK.json',\n",
+       " 'C_STO-3G_TRIPLET_BK.json',\n",
+       " 'H3+_3-21G_SINGLET_JW.json',\n",
+       " 'LiH_STO-3G_SINGLET_BK.json',\n",
+       " 'HF_STO-3G_SINGLET_JW.json',\n",
+       " 'H3+_STO-3G_SINGLET_BK.json',\n",
+       " 'H4_STO-3G_SINGLET_JW.json',\n",
+       " 'CO2_STO-3G_SINGLET_BK.json',\n",
+       " 'BeH2_STO-3G_SINGLET_BK.json',\n",
        " 'CO_STO-3G_SINGLET_JW.json',\n",
-       " 'HCl_STO-3G_SINGLET_JW.json',\n",
-       " 'LiH_3-21G_SINGLET_JW.json']"
+       " 'H3O+_STO-3G_SINGLET_JW.json',\n",
+       " 'HeH+_3-21G_SINGLET_JW.json',\n",
+       " 'HF_3-21G_SINGLET_JW.json']"
       ]
      },
      "execution_count": 3,
@@ -661,7 +661,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.13"
+   "version": "3.9.16"
   }
  },
  "nbformat": 4,
diff --git a/notebooks/2. Applications/2.1 Tapering the Heisenberg Hamiltonian.ipynb b/notebooks/2. Applications/2.1 Tapering the Heisenberg Hamiltonian.ipynb
index 761658a8..0ca083a4 100644
--- a/notebooks/2. Applications/2.1 Tapering the Heisenberg Hamiltonian.ipynb	
+++ b/notebooks/2. Applications/2.1 Tapering the Heisenberg Hamiltonian.ipynb	
@@ -25,26 +25,26 @@
      "text": [
       "The heisenberg Hamiltonian is\n",
       "\n",
-      "-0.480+0.000j IIYY +\n",
-      "-0.480+0.000j IYYI +\n",
-      "-0.480+0.000j YYII +\n",
-      "-0.179+0.000j IIZZ +\n",
-      "-0.179+0.000j IZZI +\n",
-      "-0.179+0.000j ZZII +\n",
-      "-0.115+0.000j IIXX +\n",
-      "-0.115+0.000j IXXI +\n",
-      "-0.115+0.000j XXII\n",
+      "-0.398+0.000j IIXX +\n",
+      "-0.398+0.000j IXXI +\n",
+      "-0.398+0.000j XXII +\n",
+      "-0.355+0.000j IIZZ +\n",
+      "-0.355+0.000j IZZI +\n",
+      "-0.355+0.000j ZZII +\n",
+      "-0.037+0.000j IIYY +\n",
+      "-0.037+0.000j IYYI +\n",
+      "-0.037+0.000j YYII\n",
       "\n",
-      "with ground state energy -1.4609414542131196 and corresponding eigenvector\n",
+      "with ground state energy -1.6208187405454877 and corresponding eigenvector\n",
       "\n",
-      "-0.419+0.000j |0000> +\n",
-      " 0.376+0.000j |0011> +\n",
-      " 0.296+0.000j |0101> +\n",
-      " 0.308+0.000j |0110> +\n",
-      " 0.308+0.000j |1001> +\n",
-      " 0.296+0.000j |1010> +\n",
-      " 0.376+0.000j |1100> +\n",
-      "-0.419+0.000j |1111>\n"
+      " 0.575-0.000j |0000> +\n",
+      " 0.366+0.000j |0011> +\n",
+      " 0.109+0.000j |0101> +\n",
+      " 0.153+0.000j |0110> +\n",
+      " 0.153+0.000j |1001> +\n",
+      " 0.109+0.000j |1010> +\n",
+      " 0.366+0.000j |1100> +\n",
+      " 0.575+0.000j |1111>\n"
      ]
     }
    ],
@@ -155,26 +155,26 @@
      "text": [
       "We rotate the Hamiltonian accordingly:\n",
       "\n",
-      "-0.179+0.000j IIZZ +\n",
-      "-0.115+0.000j IIXX +\n",
-      "-0.480+0.000j IIYY +\n",
-      " 0.179-0.000j IXZI +\n",
-      " 0.115-0.000j IXXX +\n",
-      " 0.179-0.000j XIZZ +\n",
-      " 0.480-0.000j XIZX +\n",
-      " 0.115-0.000j XXIX +\n",
-      "-0.480+0.000j XXYY\n",
+      "-0.355+0.000j IIZZ +\n",
+      "-0.398+0.000j IIXX +\n",
+      "-0.037+0.000j IIYY +\n",
+      " 0.355-0.000j IXZI +\n",
+      " 0.398-0.000j IXXX +\n",
+      " 0.355-0.000j XIZZ +\n",
+      " 0.037-0.000j XIZX +\n",
+      " 0.398-0.000j XXIX +\n",
+      "-0.037+0.000j XXYY\n",
       "\n",
       "and observe that qubit positions [1 0] consist only of Pauli I, X operators.\n",
       "\n",
       "These may therefore be removed to yield a 2-qubit reduced Hamiltonian:\n",
       "\n",
-      "-0.179+0.000j ZI +\n",
-      "-0.358+0.000j ZZ +\n",
-      " 0.115+0.000j IX +\n",
-      "-0.480+0.000j ZX +\n",
-      "-0.230+0.000j XX +\n",
-      "-0.961+0.000j YY\n"
+      "-0.355+0.000j ZI +\n",
+      "-0.710+0.000j ZZ +\n",
+      " 0.398+0.000j IX +\n",
+      "-0.037+0.000j ZX +\n",
+      "-0.797+0.000j XX +\n",
+      "-0.074+0.000j YY\n"
      ]
     }
    ],
@@ -206,16 +206,16 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "The ground state energy of the Hamiltonian is -1.4609414542131196\n",
-      "and for the 2-qubit tapered Hamiltonian it is -1.460941454213121;\n",
-      "the energy error is 1.3322676295501878e-15.\n",
+      "The ground state energy of the Hamiltonian is -1.6208187405454877\n",
+      "and for the 2-qubit tapered Hamiltonian it is -1.6208187405454877;\n",
+      "the energy error is 0.0.\n",
       "\n",
       "The tapered ground state is:\n",
       "\n",
-      "-0.593+0.000j |00> +\n",
-      "-0.436+0.000j |01> +\n",
-      "-0.418+0.000j |10> +\n",
-      " 0.532+0.000j |11>\n"
+      " 0.813-0.000j |00> +\n",
+      "-0.217+0.000j |01> +\n",
+      "-0.154+0.000j |10> +\n",
+      " 0.517+0.000j |11>\n"
      ]
     }
    ],
@@ -262,7 +262,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.13"
+   "version": "3.9.16"
   },
   "vscode": {
    "interpreter": {
diff --git a/notebooks/2. Applications/2.3 CS-VQE for Electronic Structure.ipynb b/notebooks/2. Applications/2.3 CS-VQE for Electronic Structure.ipynb
index d58ccceb..82d172ec 100644
--- a/notebooks/2. Applications/2.3 CS-VQE for Electronic Structure.ipynb	
+++ b/notebooks/2. Applications/2.3 CS-VQE for Electronic Structure.ipynb	
@@ -1814,7 +1814,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.13"
+   "version": "3.9.16"
   },
   "vscode": {
    "interpreter": {
diff --git a/notebooks/2. Applications/2.4 CS-VQE for Noncontextual Problem.ipynb b/notebooks/2. Applications/2.4 CS-VQE for Noncontextual Problem.ipynb
index ca6d742c..4dec0399 100644
--- a/notebooks/2. Applications/2.4 CS-VQE for Noncontextual Problem.ipynb	
+++ b/notebooks/2. Applications/2.4 CS-VQE for Noncontextual Problem.ipynb	
@@ -806,7 +806,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.13"
+   "version": "3.9.16"
   },
   "vscode": {
    "interpreter": {
diff --git a/notebooks/2. Applications/GRAPHING noncon.ipynb b/notebooks/2. Applications/GRAPHING noncon.ipynb
new file mode 100644
index 00000000..42022922
--- /dev/null
+++ b/notebooks/2. Applications/GRAPHING noncon.ipynb	
@@ -0,0 +1,1260 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "e26c20d1",
+   "metadata": {},
+   "source": [
+    "# Noncontextual Electronic Structure\n",
+    "\n",
+    "How to solve $H_{noncontextual}$ given the following partition:\n",
+    "\n",
+    "$$H_{full} = H_\\mathrm{noncontextual} + H_\\mathrm{context}$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "96276a2a",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "id": "a92ac90c",
+   "metadata": {},
+   "source": [
+    "# First we need a Hamiltonian"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "8414caac",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from symmer.symplectic import ObservableGraph, PauliwordOp\n",
+    "from matplotlib import pyplot as plt\n",
+    "import networkx as nx\n",
+    "import numpy as np\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "ec5ea810",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import os\n",
+    "import json\n",
+    "\n",
+    "cwd = os.getcwd()\n",
+    "notebook_dir =  os.path.dirname(cwd)\n",
+    "symmer_dir = os.path.dirname(notebook_dir)\n",
+    "test_dir = os.path.join(symmer_dir, 'tests')\n",
+    "ham_data_dir = os.path.join(test_dir, 'hamiltonian_data')\n",
+    "\n",
+    "if not os.path.isdir(ham_data_dir):\n",
+    "    raise ValueError('cannot find data dir')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "62b9d788",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# os.listdir(ham_data_dir)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "18302774",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "filename = 'B_STO-3G_DOUBLET_JW.json'#'H2O_STO-3G_SINGLET_BK.json'\n",
+    "\n",
+    "if filename not in os.listdir(ham_data_dir):\n",
+    "    raise ValueError('unknown file')\n",
+    "    \n",
+    "with open(os.path.join(ham_data_dir, filename), 'r') as infile:\n",
+    "    data_dict = json.load(infile)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "9d2e3b76",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "10"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from symmer.symplectic import PauliwordOp\n",
+    "H = PauliwordOp.from_dictionary(data_dict['hamiltonian'])\n",
+    "H.n_qubits"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "9cbad32b",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "156"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "H.n_terms"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 94,
+   "id": "8a593612",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "\n",
+    "adjmat = H.adjacency_matrix.copy()\n",
+    "# mask_nonsymmetries = ~np.all(adjmat, axis=1)\n",
+    "# adjmat = adjmat[mask_nonsymmetries,:][:,mask_nonsymmetries]\n",
+    "np.fill_diagonal(adjmat, False)\n",
+    "graph = nx.from_numpy_matrix(adjmat)\n",
+    "\n",
+    "plt.figure()\n",
+    "pos = nx.spring_layout(graph, k=1)\n",
+    "nx.draw_networkx_nodes(graph,pos,node_color='black', node_size=50)\n",
+    "nx.draw_networkx_edges(graph, pos,width=1, alpha=0.01)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 104,
+   "id": "5b0ccded",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/var/folders/7l/9g4tmq2s5zg48_szmd8z7qh40000gn/T/ipykernel_15484/168311451.py:1: FutureWarning: adjacency_matrix will return a scipy.sparse array instead of a matrix in Networkx 3.0.\n",
+      "  np.einsum('ij->i',nx.adjacency_matrix(graph).todense().astype(int))\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "array([155, 131, 131, 155, 131, 115, 115, 131, 115, 115, 155, 131, 115,\n",
+       "       115, 115, 115, 131, 115, 115, 115, 115, 155, 109, 101, 101, 101,\n",
+       "       101, 101, 101, 109, 101, 101, 101, 101, 101, 101,  95, 109, 101,\n",
+       "       101, 101, 101, 101, 101, 107,  95, 109, 101, 101, 101, 101, 101,\n",
+       "       101,  95, 107,  95,  91,  91,  91,  91,  91,  91,  91,  91,  91,\n",
+       "        91,  91,  91,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,\n",
+       "        85,  85,  95, 109, 101, 101, 101, 101, 101, 101,  95, 109, 101,\n",
+       "       101, 101, 101, 101, 101,  95,  95,  85,  85,  85,  85,  85,  85,\n",
+       "        85,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,\n",
+       "        85,  85,  85,  85,  85,  95, 109, 101, 101, 101, 101, 101, 101,\n",
+       "        95,  95, 109, 101, 101, 101, 101, 101, 101,  95,  85,  85,  85,\n",
+       "        85,  85,  85,  85,  85,  85,  85,  85,  85,  95,  95,  95,  95])"
+      ]
+     },
+     "execution_count": 104,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "np.einsum('ij->i',nx.adjacency_matrix(graph).todense().astype(int))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 70,
+   "id": "86f0f073",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "156"
+      ]
+     },
+     "execution_count": 70,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(graph.nodes())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 76,
+   "id": "f2d6467c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 76,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "max_matching_edges = sorted(nx.maximal_matching(graph))\n",
+    "len(max_matching_edges)\n",
+    "\n",
+    "nx.is_matching(graph, max_matching_edges)\n",
+    "\n",
+    "# max_matching_edges"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 72,
+   "id": "f2c2126e",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.collections.LineCollection at 0x7f828ea44040>"
+      ]
+     },
+     "execution_count": 72,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "G = nx.Graph(max_matching_edges)\n",
+    "\n",
+    "pos = nx.spring_layout(G, k=1)\n",
+    "nx.draw_networkx_nodes(G,pos,node_color='black', node_size=50)\n",
+    "nx.draw_networkx_edges(G, pos,width=1, alpha=0.1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "eaf2d803",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 81,
+   "id": "a4f32e0f",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "7680"
+      ]
+     },
+     "execution_count": 81,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# https://stackoverflow.com/questions/13700954/graph-transformation-vertices-into-edges-and-edges-into-vertices\n",
+    "\n",
+    "L = nx.line_graph(graph)\n",
+    "max_matching_edges = sorted(nx.maximal_matching(L))\n",
+    "G = nx.Graph(max_matching_edges)\n",
+    "\n",
+    "len(G.nodes)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "7549d3f6",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 92,
+   "id": "7905b8c8",
+   "metadata": {},
+   "outputs": [
+    {
+     "ename": "IndexError",
+     "evalue": "list index out of range",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[92], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m G_from_L \u001b[38;5;241m=\u001b[39m \u001b[43mnx\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43minverse_line_graph\u001b[49m\u001b[43m(\u001b[49m\u001b[43mG\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m      2\u001b[0m G_from_L\u001b[38;5;241m.\u001b[39mnodes\n",
+      "File \u001b[0;32m~/anaconda3/envs/symmer/lib/python3.9/site-packages/networkx/utils/decorators.py:845\u001b[0m, in \u001b[0;36margmap.__call__.<locals>.func\u001b[0;34m(_argmap__wrapper, *args, **kwargs)\u001b[0m\n\u001b[1;32m    844\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfunc\u001b[39m(\u001b[38;5;241m*\u001b[39margs, __wrapper\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs):\n\u001b[0;32m--> 845\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43margmap\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_lazy_compile\u001b[49m\u001b[43m(\u001b[49m\u001b[43m__wrapper\u001b[49m\u001b[43m)\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n",
+      "File \u001b[0;32m<class 'networkx.utils.decorators.argmap'> compilation 35:5\u001b[0m, in \u001b[0;36margmap_inverse_line_graph_31\u001b[0;34m(G)\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mgzip\u001b[39;00m\n\u001b[1;32m      4\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01minspect\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mitertools\u001b[39;00m\n\u001b[1;32m      6\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mre\u001b[39;00m\n\u001b[1;32m      7\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mcollections\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m defaultdict\n",
+      "File \u001b[0;32m~/anaconda3/envs/symmer/lib/python3.9/site-packages/networkx/generators/line.py:282\u001b[0m, in \u001b[0;36minverse_line_graph\u001b[0;34m(G)\u001b[0m\n\u001b[1;32m    279\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m nx\u001b[38;5;241m.\u001b[39mNetworkXError(msg)\n\u001b[1;32m    281\u001b[0m starting_cell \u001b[38;5;241m=\u001b[39m _select_starting_cell(G)\n\u001b[0;32m--> 282\u001b[0m P \u001b[38;5;241m=\u001b[39m \u001b[43m_find_partition\u001b[49m\u001b[43m(\u001b[49m\u001b[43mG\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mstarting_cell\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    283\u001b[0m \u001b[38;5;66;03m# count how many times each vertex appears in the partition set\u001b[39;00m\n\u001b[1;32m    284\u001b[0m P_count \u001b[38;5;241m=\u001b[39m {u: \u001b[38;5;241m0\u001b[39m \u001b[38;5;28;01mfor\u001b[39;00m u \u001b[38;5;129;01min\u001b[39;00m G\u001b[38;5;241m.\u001b[39mnodes}\n",
+      "File \u001b[0;32m~/anaconda3/envs/symmer/lib/python3.9/site-packages/networkx/generators/line.py:383\u001b[0m, in \u001b[0;36m_find_partition\u001b[0;34m(G, starting_cell)\u001b[0m\n\u001b[1;32m    380\u001b[0m partitioned_vertices \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlist\u001b[39m(starting_cell)\n\u001b[1;32m    381\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m G_partition\u001b[38;5;241m.\u001b[39mnumber_of_edges() \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m0\u001b[39m:\n\u001b[1;32m    382\u001b[0m     \u001b[38;5;66;03m# there are still edges left and so more cells to be made\u001b[39;00m\n\u001b[0;32m--> 383\u001b[0m     u \u001b[38;5;241m=\u001b[39m \u001b[43mpartitioned_vertices\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m-\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m]\u001b[49m\n\u001b[1;32m    384\u001b[0m     deg_u \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlen\u001b[39m(G_partition[u])\n\u001b[1;32m    385\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m deg_u \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m0\u001b[39m:\n\u001b[1;32m    386\u001b[0m         \u001b[38;5;66;03m# if u has no edges left in G_partition then we have found\u001b[39;00m\n\u001b[1;32m    387\u001b[0m         \u001b[38;5;66;03m# all of its cells so we do not need to keep looking\u001b[39;00m\n",
+      "\u001b[0;31mIndexError\u001b[0m: list index out of range"
+     ]
+    }
+   ],
+   "source": [
+    "G_from_L = nx.inverse_line_graph(G)\n",
+    "G_from_L.nodes"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 91,
+   "id": "4ba310ab",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[111, 50, 56, 133, 141]"
+      ]
+     },
+     "execution_count": 91,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "IS = nx.maximal_independent_set(graph)\n",
+    "IS"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 84,
+   "id": "4e7ab480",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[110, 134, 49, 58, 72]"
+      ]
+     },
+     "execution_count": 84,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 57,
+   "id": "5e271ac8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "73"
+      ]
+     },
+     "execution_count": 57,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "G_dag = nx.complement(graph)\n",
+    "# plt.figure()\n",
+    "# pos = nx.spring_layout(G_dag, k=1)\n",
+    "# nx.draw_networkx_nodes(G_dag,pos,node_color='black', node_size=50)\n",
+    "# nx.draw_networkx_edges(G_dag, pos,width=1, alpha=0.01)\n",
+    "# plt.show()\n",
+    "\n",
+    "max_matching_edges = sorted(nx.maximal_matching(G_dag))\n",
+    "len(max_matching_edges)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 58,
+   "id": "c04a5d32",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "146"
+      ]
+     },
+     "execution_count": 58,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# G = nx.Graph([(1, 2), (1, 3), (2, 3), (2, 4), (3, 5), (4, 5)])\n",
+    "\n",
+    "G = nx.Graph(max_matching_edges)\n",
+    "\n",
+    "pos = nx.spring_layout(G, k=1)\n",
+    "nx.draw_networkx_nodes(G,pos,node_color='black', node_size=50)\n",
+    "nx.draw_networkx_edges(G, pos,width=1, alpha=0.1)\n",
+    "\n",
+    "len(G.nodes)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 59,
+   "id": "442e131e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "OP = PauliwordOp.empty(H.n_qubits)\n",
+    "for edge_ij in max_matching_edges:\n",
+    "    i,j = edge_ij\n",
+    "    OP+= H[i]\n",
+    "    OP+= H[j]\n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 66,
+   "id": "77004325",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.collections.LineCollection at 0x7f828c723760>"
+      ]
+     },
+     "execution_count": 66,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAGFCAYAAACCBut2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy88F64QAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAXfklEQVR4nO3dzW4b59mA4WeGw5emRUl2EsRG0hyJExfoprsK9rrLLoS4G2fTs3A2hZJ1T6AovOtWDvCdR4EATn9NUqYlzs+3SKU6tiNLtsgZkte1S0IETwJYvDXvMzNZ0zRNAAAbLW97AACgfYIAABAEAIAgAABCEAAAIQgAgBAEAEBEFBf5UF3X8f3338f29nZkWbbomQCAK9A0TUwmk/jkk08iz8+/BnChIPj+++/js88+u5LhAIDl+tvf/ha/+MUvzv3MhYJge3v77F+4s7Pz/pMBAAs3Ho/js88+O/seP8+FguD0mGBnZ0cQAMCKuchxv6VCAEAQAACCAAAIQQAAhCAAAEIQAAAhCACAEAQAQAgCACAEAQAQggAACEEAAIQgAABCEAAAIQgAgBAEAEAIAgAgBAEAEIIAAAhBAACEIAAAQhAAACEIAIAQBABcodlsFk+fPo3ZbNb2KFySIADgvT158iTu378fo9Eobt++HaPRKO7fvx/fffdd26NxQYIAgPfyzTffxN27d+Px48dR13VERNR1HY8fP44vvvgivv3225Yn5CIEAQDv7MmTJ/HgwYNomibKsvzJPyvLMpqmiS+//NKVghUgCAB4Z48ePYper3fuZ3q9Xnz99ddLmoh3lTVN07ztQ+PxOHZ3d+PZs2exs7OzjLkA6LjZbBaj0ejsmOA8eZ7HdDqN4XC4hMk4dZnvb1cIAHgn4/H4QjEQ8eNOwXg8XvBEvA9BAMA72dnZiTy/2NdInueuMHecIADgnQyHw9jb24uiKM79XFEUce/ePccFHScIAHhnX331VVRVde5nqqqKhw8fLmki3pUgAOCdff7553FwcBBZlr12paAoisiyLA4ODuLOnTstTchFCQIA3sv+/n4cHh7G3t7e2U5Bnufxm9/8Jg4PD2N/f7/lCbkItx0CcGVms1n8+9//jtlsFp9++mlcu3at7ZE2mtsOAWjFcDiMTz75JEajURwfH7c9DpcgCAC4coPBIE5OTtoeg0sQBABcuZRSzOfzuMCpNB0hCAC4cimliAhXCVaIIADgyhVFEXmeC4IVIggAWIiUksXCFSIIAFgIewSrRRAAsBCDwSCapon5fN72KFyAIABgIfr9fmRZZo9gRQgCABYmpSQIVoQgAGBhBMHqEAQALExKKeq6tkewAgQBAAuTUrJHsCIEAQALk2VZ9Pt9QbACBAEAC2WPYDUIAgAWKqUUVVVFVVVtj8I5BAEAC+VFR6tBEACwUHmeR1EU3mvQcYIAgIUbDAauEHScIABg4VJKUZZl1HXd9ij8DEEAwMLZI+g+QQDAwvV6vej1eoKgwwQBAEuRUrJY2GGCAIClSCnFfD6PpmnaHoU3EAQALMVgMIgIewRdJQgAWIqiKCLPc0HQUYIAgKXxXoPuEgQALM1pENgj6B5BAMDSpJSiaZqYz+dtj8IrBAEAS9Pv9yPLMscGHSQIAFiaLMvsEXSUIABgqQRBNwkCAJYqpRR1XUdZlm2PwksEAQBLdfqiI48x7hZBAMBSZVkW/X7fsUHHCAIAlm4wGAiCjhEEACxdSimqqoqqqtoehf8SBAAs3ekegasE3SEIAFi6PM+jKApB0CGCAIBWpJTcadAhggCAVgwGgyjLMuq6bnsUQhAA0BJ7BN0iCABoRa/Xi16vJwg6QhAA0BrvNegOQQBAa06DoGmatkfZeIIAgNbYI+gOQQBAa/r9fuR5Lgg6QBAA0Cp7BN0gCABolSDoBkEAQKtSStE0Tczn87ZH2WiCAIBW9fv9yLLMY4xbJggAaFWWZdHv9x0btEwQANC6wWAgCFomCABoXUop6rqOsizbHmVjCQIAWucBRe0TBAC0zh5B+wQBAJ2QUnKnQYsEAQCdMBgMoqqqqKqq7VE2kiAAoBPsEbRLEADQCXmeR1EUgqAlggCAzvBeg/YIAgA6I6UU8/k86rpue5SNIwgA6Ax7BO0RBAB0RlEU0ev1BEELBAEAnWKPoB2CAIBOOd0jaJqm7VE2iiAAoFNSStE0Tczn87ZH2SiCAIBO6ff7kWWZxxgvmSAAoHPsESyfIACgcwaDgSBYMkEAQOfYI1g+QQBA55zuEbhKsDyCAIDOybIs+v2+IFgiQQBAJ6WU3GmwRIIAgE4aDAZR13WUZdn2KBtBEADQSf1+PyK86GhZBAEAnZTnuT2CJRIEAHSWBxQtjyAAoLNSSlGWZVRV1fYoa08QANBZKaWIsEewDIIAgM7q9XpRFIUgWAJBAECn2SNYDkEAQKellGI+n0dd122PstYEAQCddrpH4EVHiyUIAOi0oigiz3OPMV4wQQBA59kjWDxBAEDnDQaDmM/n0TRN26OsLUEAQOellKJpGnsECyQIAOi8fr8fWZY5NlggQQDASkgpWSxcIEEAwEo4fR4BiyEIAFgJg8Eg6roWBQsiCABYCfYIFksQALASsiyLfr8vCBZEEACwMjygaHEEAQArI6UUVVVFVVVtj7J2BAEAK+P0RUduP7x6ggCAlZHnuT2CBREEAKwUewSLIQgAWCkppSjLMuq6bnuUtSIIAFgpp3sErhJcLUEAwErp9XrR6/UsFl4xQQDAyrFHcPUEAQArZzAYxHw+j6Zp2h5lbQgCAFaOPYKrJwgAWDlFUUSe54LgCgkCAFZSSsli4RUSBACspJSSPYIrJAgAWEmDwSCapon5fN72KGtBEACwkvr9fmRZZo/giggCAFaW5xFcHUEAwMoSBFdHEACwslJKUdd1lGXZ9igrTxAAsLJOH1Dk9sP3JwgAWFlZljk2uCKCAICVJgiuhiAAYKWllKKqqqiqqu1RVpogAGCledHR1RAEAKy0PM+jKAqLhe9JEACw8gaDgSsE70kQALDyUkpRlmXUdd32KCtLEACw8uwRvD9BAMDK6/V60ev1BMF7EAQArIWUksXC9yAIAFgLKaWYz+fRNE3bo6wkQQDAWhgMBhFhj+BdCQIA1kJRFJHnuSB4R4IAgLXhvQbvThAAsDZOg8AeweUJAgDWRkopmqaJ+Xze9igrRxAAsDb6/X5kWebY4B0IAgDWRpZl9gjekSAAYK0IgncjCABYKymlqOs6yrJse5SVIggAWCunLzryGOPLEQQArJUsy6Lf7zs2uCRBAMDaGQwGguCSBAEAayelFFVVRVVVbY+yMgQBAGvndI/AVYKLEwQArJ08z6MoCkFwCYIAgLWUUnKnwSUIAgDWUkopyrKMuq7bHmUlCAIA1tJgMIgIewQXJQgAWEu9Xi96vZ4guCBBAMDa8l6DixMEAKyt0yBomqbtUTpPEACwtjyP4OIEAQBrq9/vR57nguACBAEAa80ewcUIAgDWmiC4GEEAwFpLKUXTNDGfz9sepdMEAQBrrd/vR5ZlHmP8FoIAgLWWZVn0+33HBm8hCABYe4PBQBC8hSAAYO2llKKu6yjLsu1ROksQALD2PKDo7QQBAGvPHsHbCQIANkJKyZ0G5xAEAGyElFJUVRVVVbU9SicJAgA2wmAwiAh7BD9HEACwEfI8j6IoBMHPEAQAbAzvNfh5ggCAjZFSivl8HnVdtz1K5wgCADaG5xH8PEEAwMYoiiLyPBcEbyAIANgo3mvwZoIAgI1yukfQNE3bo3SKIABgo6SUommamM/nbY/SKYIAgI3S7/cjyzKPMX6FIABg43gewesEAQAbx2Lh6wQBABvHHsHrBAEAG+d0j8BVgv8RBABsnCzLot/vC4KXCAIANlJKyZ0GLxEEAGyklFLUdR1lWbY9SicIAgA2khcd/ZQgAGAj5Xluj+AlggCAjeUBRf8jCADYWCmlKMsy6rpue5TWCQIANtbpHoG7DQQBABus1+tFr9dzbBCCAIAN570GPxIEAGy0lFLM5/NomqbtUVolCADYaJ5H8CNBAMBGK4oi8jzf+MVCQQDAxvM8AkEAADEYDDZ+j0AQALDxUkrRNE3M5/O2R2mNIABg4/X7/ciybKOPDQQBAIQ9AkEAACEIBAEAxI9BUNf1xu4RCAIAiB+DYJP3CAQBAERElmXR7/cFAQBsuk3eIxAEAPBfKaWoqiqqqmp7lKUTBADwX6cvOtrE9xoIAgD4rzzPoyiKjTw2EAQA8JLBYCAIAGDTpZSiLMuo67rtUZZKEADAS073CDbtKoEgAICX9Hq96PV6G7dYKAgA4BWb+DwCQQAArxgMBjGfz6NpmrZHWRpBAACv2MQ9AkEAAK8oiiLyPBcEALDpNm2PQBAAwBucBsGm7BEIAgB4g5RSNE0T8/m87VGWQhDAEs1ms3j69GnMZrO2RwHeot/vR5ZlG3NsIAhgCZ48eRL379+P0WgUt2/fjtFoFPfv34/vvvuu7dGAn5Fl2UbtEQgCWLBvvvkm7t69G48fPz57Nnpd1/H48eP44osv4ttvv215QuDnCALgSjx58iQePHgQTdNEWZY/+WdlWUbTNPHll1+6UgAdlVKKuq5f+/O7jgQBLNCjR4+i1+ud+5lerxdff/31kiYCLuP0AUWb8F4DQQALMpvN4i9/+ctbf7MoyzL+/Oc/WzSEDtqkPQJBAAsyHo8v/D71uq5jPB4veCLgXQgC4L1sb29Hnl/sj1ie57Gzs7PgiYB3kVKKqqqiqqq2R1koQQBXrGmamE6nMR6P49e//nUURXHu54uiiHv37sVwOFzShMBlbMqLjgQBXJHTEHj69GmMx+O4du1a/OEPf3jrbxVVVcXDhw+XNCVwWXmeR1EUa79YKAjgPb0cApPJJIbDYdy6dStu3LgRv/zlL+Pg4CCyLHvtSkFRFJFlWRwcHMSdO3damh64iE3YIxAE8I7quo7JZPKTEPj4449jd3f3J7ca7u/vx+HhYezt7Z3tFOR5Hnt7e3F4eBj7+/tt/ScAFzQYDKIsywsvCq+i8w83gdfUdR1HR0dxdHQUTdPE9evXYzQanfu8gTt37sSdO3diNpvFeDyOnZ0dOwOwQl7eI7h27VrL0yyGIIALqus6ptNpHB0dRUTE1tZWbG1tvfXBQy8bDodCAFZQr9eLXq8nCGCTvSkERqPRhW8pBNbDuu8RCAL4GUIAeFlKKZ49exZN00SWZW2Pc+UEAbyiqqqYTqfx/PnziIgYjUaxtbUlBGDDDQaDiIh49uxZHB8fr90ukJ9w8F9VVcWzZ8/ihx9+iNlsFqPRKG7dunWpJw4C6+v//u//4ne/+118+OGHcfv27RiNRnH//v21eVupn3JsvDeFwMcffywEgDPffPNN3L17N/7617+e3XpY13U8fvw4vvjii/j2229bnvD9ZU3TNG/70Hg8jt3d3Xj27JnnrbM2qqqKyWQSs9kssiw7OxpYx7NB4N09efIk7t69G+d9XWZZFoeHh517yNhlvr/9+sPGKcsy/vOf/8TTp0/jxYsXsb29Hbdu3YrRaCQGgNc8evTorbcX93q9+Prrr5c00WK4QsDGKMvybFkwz3NXBIC3Oj1GvMgTCvM8j+l02qlFw8t8f7vLgLVXluXZ0UCv14vd3d24fv26EADeajweX/hxxXVdx3g87lQQXIYgYG0JAeB97ezsRJ7nF75CsMpX0e0QsHbm83n861//ih9++CFOTk7ixo0b8fHHHzseAC5tOBzG3t7ea28rfVVRFHHv3r2VvToQIQhYI6ch8Pe//z3m8/lZCLgqALyPr776KqqqOvczVVXFw4cPlzTRYggCVt7JyclZCJRlKQSAK/X555/HwcFBZFn22pWCoigiy7I4ODjo3C2HlyUIWFknJyfxz3/+M/7xj39EWZZx8+ZNIQAsxP7+fhweHsbe3t7ZA8vyPI+9vb04PDyM/f39lid8f247ZOWcnJzEZDKJ4+PjKIoitre3V/rcDlgts9ksxuPxSrzLwG2HrKXj4+OYTqdxfHwc/X4/bt682fk/jMD6GQ6Ha/mzRxDQecfHxzGZTOLk5CT6/X588MEHce3atbbHAlgrgoDOEgIAyyMI6JwXL17EdDqNk5OTSCnFhx9+ePYecgAWQxDQGS9evIjJZBLz+VwIACyZIKB1QgCgfYKA1sxms5hOpzGfz2MwGMRHH30UKaW2xwLYSIKApZvNZjGZTKIsSyEA0BGCgKV5OQSuXbsWN27cEAIAHSEIWKimac6OBk5D4ObNm9Hv99seDYCXCAIW4jQEJpNJVFUlBAA6ThBwpZqmiefPn8d0Oo2qqmI4HMZoNBICAB0nCLgSbwqB7e3t114VCkA3+WnNexECAOvBT23eSdM0cXR0FNPpNOq6juvXr8doNBICACvKT28uRQgArCc/xbmQl0OgaZqzo4Fer9f2aABcAUHAueq6jqOjozg6Ooqmac6uCAgBgPUiCHgjIQCwWQQBP3EaAtPpNCIitra2YmtrSwgArDlBQET8GALT6TSOjo4i4scQGI1Gked5y5MBsAyCYMMJAQAiBMHGqqoqptNpPH/+PCIiRqNRbG1tCQGADSUINszLIZBlmRAAICIEwcYQAgCcRxCsuaqqYjKZxGw2iyzLYnt7O7a2tiLLsrZHA6BDBMGaKsvy7IpAnudCAIBzCYI182oI7OzsCAEA3koQrImyLM+OBnq9Xuzu7sb169eFAAAXIghWnBAA4CoIghU1n89jOp2ehcCNGzdiOBwKAQDeiSBYMfP5PCaTSbx48UIIAHBlBMGKeDkEiqIQAgBcKUHQcScnJzGZTOL4+DiKooibN2/GcDhseywA1owg6CghAMAyCYKOeTkE+v2+EABgKQRBRxwfH8dkMomTk5Po9/vxwQcfxLVr19oeC4ANIQhaJgQA6AJB0JIXL17EdDqNk5OTSCkJAQBaJQiW7MWLFzGZTGI+n0dKKT788MMYDAZtjwXAhhMESyIEAOgyQbBgs9ksptNpzOfzGAwG8dFHH0VKqe2xAOAnBMGCzGazmEwmUZalEACg8wTBFXs1BG7cuCEEAOg8QXBFnj9/HtPpNMqyjGvXrsXNmzej3++3PRYAXIggeA9N05xdEaiqSggAsLIEwTtomubsikBVVTEcDmM0GgkBAFaWILiEN4XA9vZ2FIX/jQCsNt9kFyAEAFh3vtHO0TRNHB0dxXQ6jbqu4/r16zEajYQAAGvHN9sbCAEANo1vuJe8HAJN05wdDfR6vbZHA4CFEgQRUdd1HB0dxdHRUTRNc3ZFQAgAsCk2OgiEAAD8aO2CYDabxXg8jp2dnRgOh2/8zGkITKfTiAghAMDGy9se4Ko8efIk7t+/H6PRKG7fvh2j0Sju378f33333dln6rqO8XgcT58+jel0GltbW3Hr1q3Y3d0VAwBstKxpmuZtHxqPx7G7uxvPnj2LnZ2dZcx1Kd988008ePAger1elGV59veLooiqquKPf/xj/Pa3v42jo6OIiNja2orRaBR5vjY9BACvucz398ofGTx58iQePHgQTdP8JAYi4uyvf//738enn34av/rVr2Jra0sIAMArVv6b8dGjR2+93N/r9eJPf/pTbG9viwEAeIOVPjKYzWYxGo2iruu3fjbP85hOpz+7aAgA6+Yy398r/evyeDy+UAxE/G+hEAB43UoHwc7OzoWPAPI879TVDQDokpUOguFwGHt7e299x0BRFHHv3j3HBQDwM1Y6CCIivvrqq6iq6tzPVFUVDx8+XNJEALB6Vj4IPv/88zg4OIgsy167UlAURWRZFgcHB3Hnzp2WJgSA7lv5IIiI2N/fj8PDw9jb2zvbKcjzPPb29uLw8DD29/dbnhAAum2lbzt8k4u8ywAANsFGPanwVcPhUAgAwCWtxZEBAPB+BAEAIAgAAEEAAIQgAABCEAAAIQgAgBAEAEAIAgAgBAEAEIIAAAhBAACEIAAAQhAAACEIAIAQBABACAIAIAQBABCCAAAIQQAAhCAAAEIQAAAhCACAiCgu8qGmaSIiYjweL3QYAODqnH5vn36Pn+dCQTCZTCIi4rPPPnuPsQCANkwmk9jd3T33M1lzgWyo6zq+//772N7ejizLrmxAAGBxmqaJyWQSn3zySeT5+VsCFwoCAGC9WSoEAAQBACAIAIAQBABACAIAIAQBABCCAACIiP8Hza/cy0dMDsMAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "G = nx.Graph([(1, 2), (1, 3), (2, 3), (2, 4), (3, 5), (4, 5)])\n",
+    "\n",
+    "E = sorted(nx.maximal_matching(G))\n",
+    "maximal = nx.Graph(E)\n",
+    "\n",
+    "pos = nx.spring_layout(maximal, k=1)\n",
+    "nx.draw_networkx_nodes(maximal,pos,node_color='black', node_size=50)\n",
+    "nx.draw_networkx_edges(maximal, pos,width=1, alpha=0.1)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "bcfe828f",
+   "metadata": {},
+   "source": [
+    "# Solving the noncontexutal problem!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "63f6bc7b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from symmer.projection import ContextualSubspace\n",
+    "\n",
+    "cs_vqe = ContextualSubspace(H, noncontextual_strategy='SingleSweep_magnitude')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "650225b8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "74"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "cs_vqe.noncontextual_operator.n_terms"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d820c408",
+   "metadata": {},
+   "source": [
+    "Noncontextual Hamiltonians have a very specific form, namely their terms $\\mathcal{T}$ may be decomposed as\n",
+    "\\begin{equation}\n",
+    "    \\mathcal{T} = \\mathcal{S} \\cup \\mathcal{C}_1 \\cup \\dots \\cup \\mathcal{C}_M \n",
+    "\\end{equation}\n",
+    "where $\\mathcal{S}$ contains the terms that commute globally (i.e. the noncontextual symmetries) and a collection of cliques with respect to commutation."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "8c58e4ac",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{'symmetry': -15.808+0.000j IIIIIIIIII +\n",
+       "  0.050+0.000j IIIIIIIIIZ +\n",
+       "  0.050+0.000j IIIIIIIIZI +\n",
+       "  0.147+0.000j IIIIIIIIZZ +\n",
+       "  0.050+0.000j IIIIIIIZII +\n",
+       "  0.123+0.000j IIIIIIIZIZ +\n",
+       "  0.131+0.000j IIIIIIIZZI +\n",
+       "  0.050+0.000j IIIIIIZIII +\n",
+       "  0.131+0.000j IIIIIIZIIZ +\n",
+       "  0.123+0.000j IIIIIIZIZI +\n",
+       "  0.147+0.000j IIIIIIZZII +\n",
+       "  0.050+0.000j IIIIIZIIII +\n",
+       "  0.123+0.000j IIIIIZIIIZ +\n",
+       "  0.131+0.000j IIIIIZIIZI +\n",
+       "  0.123+0.000j IIIIIZIZII +\n",
+       "  0.131+0.000j IIIIIZZIII +\n",
+       "  0.050+0.000j IIIIZIIIII +\n",
+       "  0.131+0.000j IIIIZIIIIZ +\n",
+       "  0.123+0.000j IIIIZIIIZI +\n",
+       "  0.131+0.000j IIIIZIIZII +\n",
+       "  0.123+0.000j IIIIZIZIII +\n",
+       "  0.147+0.000j IIIIZZIIII +\n",
+       "  0.198+0.000j IIZIIIIIII +\n",
+       "  0.133+0.000j IIZIIIIIIZ +\n",
+       "  0.105+0.000j IIZIIIIIZI +\n",
+       "  0.133+0.000j IIZIIIIZII +\n",
+       "  0.105+0.000j IIZIIIZIII +\n",
+       "  0.133+0.000j IIZIIZIIII +\n",
+       "  0.105+0.000j IIZIZIIIII +\n",
+       "  0.171+0.000j IZIZIIIIII +\n",
+       "  3.977+0.000j ZIIIIIIIII +\n",
+       "  0.186+0.000j ZIIIIIIIIZ +\n",
+       "  0.180+0.000j ZIIIIIIIZI +\n",
+       "  0.186+0.000j ZIIIIIIZII +\n",
+       "  0.180+0.000j ZIIIIIZIII +\n",
+       "  0.186+0.000j ZIIIIZIIII +\n",
+       "  0.180+0.000j ZIIIZIIIII +\n",
+       "  0.171+0.000j ZIZIIIIIII,\n",
+       " 'clique_0':  0.005+0.000j IXIXIIIIII +\n",
+       "  0.062+0.000j IXZXIIIIII +\n",
+       "  0.010+0.000j IXZXIIIIIZ +\n",
+       "  0.003+0.000j IXZXIIIIZI +\n",
+       "  0.010+0.000j IXZXIIIZII +\n",
+       "  0.003+0.000j IXZXIIZIII +\n",
+       "  0.010+0.000j IXZXIZIIII +\n",
+       "  0.003+0.000j IXZXZIIIII +\n",
+       "  0.005+0.000j IYIYIIIIII +\n",
+       "  0.062+0.000j IYZYIIIIII +\n",
+       "  0.010+0.000j IYZYIIIIIZ +\n",
+       "  0.003+0.000j IYZYIIIIZI +\n",
+       "  0.010+0.000j IYZYIIIZII +\n",
+       "  0.003+0.000j IYZYIIZIII +\n",
+       "  0.010+0.000j IYZYIZIIII +\n",
+       "  0.003+0.000j IYZYZIIIII +\n",
+       "  0.083+0.000j ZXZXIIIIII +\n",
+       "  0.083+0.000j ZYZYIIIIII,\n",
+       " 'clique_1':  0.198+0.000j IIIZIIIIII +\n",
+       "  0.105+0.000j IIIZIIIIIZ +\n",
+       "  0.133+0.000j IIIZIIIIZI +\n",
+       "  0.105+0.000j IIIZIIIZII +\n",
+       "  0.133+0.000j IIIZIIZIII +\n",
+       "  0.105+0.000j IIIZIZIIII +\n",
+       "  0.133+0.000j IIIZZIIIII +\n",
+       "  0.132+0.000j IIZZIIIIII +\n",
+       "  3.977+0.000j IZIIIIIIII +\n",
+       "  0.180+0.000j IZIIIIIIIZ +\n",
+       "  0.186+0.000j IZIIIIIIZI +\n",
+       "  0.180+0.000j IZIIIIIZII +\n",
+       "  0.186+0.000j IZIIIIZIII +\n",
+       "  0.180+0.000j IZIIIZIIII +\n",
+       "  0.186+0.000j IZIIZIIIII +\n",
+       "  0.186+0.000j IZZIIIIIII +\n",
+       "  0.186+0.000j ZIIZIIIIII +\n",
+       "  0.723+0.000j ZZIIIIIIII}"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "cs_vqe.noncontextual_operator.decomposed"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "bf909985",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-15.808+0.000j IIIIIIIIII +\n",
+       " 0.050+0.000j IIIIIIIIIZ +\n",
+       " 0.050+0.000j IIIIIIIIZI +\n",
+       " 0.147+0.000j IIIIIIIIZZ +\n",
+       " 0.050+0.000j IIIIIIIZII +\n",
+       " 0.123+0.000j IIIIIIIZIZ +\n",
+       " 0.131+0.000j IIIIIIIZZI +\n",
+       " 0.050+0.000j IIIIIIZIII +\n",
+       " 0.131+0.000j IIIIIIZIIZ +\n",
+       " 0.123+0.000j IIIIIIZIZI +\n",
+       " 0.147+0.000j IIIIIIZZII +\n",
+       " 0.050+0.000j IIIIIZIIII +\n",
+       " 0.123+0.000j IIIIIZIIIZ +\n",
+       " 0.131+0.000j IIIIIZIIZI +\n",
+       " 0.123+0.000j IIIIIZIZII +\n",
+       " 0.131+0.000j IIIIIZZIII +\n",
+       " 0.050+0.000j IIIIZIIIII +\n",
+       " 0.131+0.000j IIIIZIIIIZ +\n",
+       " 0.123+0.000j IIIIZIIIZI +\n",
+       " 0.131+0.000j IIIIZIIZII +\n",
+       " 0.123+0.000j IIIIZIZIII +\n",
+       " 0.147+0.000j IIIIZZIIII +\n",
+       " 0.198+0.000j IIIZIIIIII +\n",
+       " 0.105+0.000j IIIZIIIIIZ +\n",
+       " 0.133+0.000j IIIZIIIIZI +\n",
+       " 0.105+0.000j IIIZIIIZII +\n",
+       " 0.133+0.000j IIIZIIZIII +\n",
+       " 0.105+0.000j IIIZIZIIII +\n",
+       " 0.133+0.000j IIIZZIIIII +\n",
+       " 0.198+0.000j IIZIIIIIII +\n",
+       " 0.133+0.000j IIZIIIIIIZ +\n",
+       " 0.105+0.000j IIZIIIIIZI +\n",
+       " 0.133+0.000j IIZIIIIZII +\n",
+       " 0.105+0.000j IIZIIIZIII +\n",
+       " 0.133+0.000j IIZIIZIIII +\n",
+       " 0.105+0.000j IIZIZIIIII +\n",
+       " 0.132+0.000j IIZZIIIIII +\n",
+       " 3.977+0.000j IZIIIIIIII +\n",
+       " 0.180+0.000j IZIIIIIIIZ +\n",
+       " 0.186+0.000j IZIIIIIIZI +\n",
+       " 0.180+0.000j IZIIIIIZII +\n",
+       " 0.186+0.000j IZIIIIZIII +\n",
+       " 0.180+0.000j IZIIIZIIII +\n",
+       " 0.186+0.000j IZIIZIIIII +\n",
+       " 0.171+0.000j IZIZIIIIII +\n",
+       " 0.186+0.000j IZZIIIIIII +\n",
+       " 3.977+0.000j ZIIIIIIIII +\n",
+       " 0.186+0.000j ZIIIIIIIIZ +\n",
+       " 0.180+0.000j ZIIIIIIIZI +\n",
+       " 0.186+0.000j ZIIIIIIZII +\n",
+       " 0.180+0.000j ZIIIIIZIII +\n",
+       " 0.186+0.000j ZIIIIZIIII +\n",
+       " 0.180+0.000j ZIIIZIIIII +\n",
+       " 0.186+0.000j ZIIZIIIIII +\n",
+       " 0.171+0.000j ZIZIIIIIII +\n",
+       " 0.723+0.000j ZZIIIIIIII +\n",
+       " 0.005+0.000j IXIXIIIIII +\n",
+       " 0.062+0.000j IXZXIIIIII +\n",
+       " 0.010+0.000j IXZXIIIIIZ +\n",
+       " 0.003+0.000j IXZXIIIIZI +\n",
+       " 0.010+0.000j IXZXIIIZII +\n",
+       " 0.003+0.000j IXZXIIZIII +\n",
+       " 0.010+0.000j IXZXIZIIII +\n",
+       " 0.003+0.000j IXZXZIIIII +\n",
+       " 0.005+0.000j IYIYIIIIII +\n",
+       " 0.062+0.000j IYZYIIIIII +\n",
+       " 0.010+0.000j IYZYIIIIIZ +\n",
+       " 0.003+0.000j IYZYIIIIZI +\n",
+       " 0.010+0.000j IYZYIIIZII +\n",
+       " 0.003+0.000j IYZYIIZIII +\n",
+       " 0.010+0.000j IYZYIZIIII +\n",
+       " 0.003+0.000j IYZYZIIIII +\n",
+       " 0.083+0.000j ZXZXIIIIII +\n",
+       " 0.083+0.000j ZYZYIIIIII"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from symmer.symplectic import NoncontextualOp\n",
+    "H_noncon = NoncontextualOp.from_PauliwordOp(cs_vqe.noncontextual_operator)\n",
+    "H_noncon"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "71976da4",
+   "metadata": {},
+   "source": [
+    "# Solving the noncontexutal problem!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "39ecc62f",
+   "metadata": {},
+   "source": [
+    "All terms in $H_{noncon}$ can be generated under the jordan product: $P_{a}\\cdot P_{b} = \\frac{1}{2} \\{P_{a}, P_{b} \\}$. This ensures only one term from the anticommuting set can be used, as joint assignement to anticommuting Pauli operator is not possible!\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1cf8dec3",
+   "metadata": {},
+   "source": [
+    "Identifying a generating set $\\mathcal{G}$ for the symmetry terms $\\mathcal{S}$ and constructing the clique operator $A(\\vec{r}) = \\sum_{i=1}^M r_i C_i$ for clique representatives $C_i \\in \\mathcal{C}_i$ and coefficients $\\vec{r} \\in \\mathbb{R}^M$ satisfying $|\\vec{r}|=1$ allows us to rewrite\n",
+    "\n",
+    "\\begin{equation}\n",
+    "    H_\\mathrm{noncon} = \\sum_{P \\in \\overline{\\mathcal{G}}} \\bigg(h_{P}^\\prime + \\sum_{i=1}^M h_{P,i} C_i \\bigg) P,\n",
+    "\\end{equation}\n",
+    "\n",
+    "and yields a classical objective function over parameters $\\vec{\\nu} \\in \\{\\pm 1\\}^{|\\mathcal{G}|}$ and $\\vec{r} \\in \\mathbb{R}^M$ for the noncontetual energy expectation value:\n",
+    "\n",
+    "\\begin{equation}\\label{classical_objective}\n",
+    "\\begin{aligned}\n",
+    "    \\eta(\\vec{\\nu}, \\vec{r}) \n",
+    "    :={} & {\\langle H_\\mathrm{noncon} \\rangle_{(\\vec{\\nu}, \\vec{r})}} \\\\\n",
+    "    ={} & \\sum_{P \\in \\overline{\\mathcal{G}}} \\bigg(h_{P}^\\prime + \\sum_{i=1}^M h_{P,i} \\langle{C_i}\\rangle_{(\\vec{\\nu}, \\vec{r})} \\bigg) \\langle{P}\\rangle_{(\\vec{\\nu}, \\vec{r})} \\\\\n",
+    "    ={} & \\sum_{P \\in \\overline{\\mathcal{G}}} \\bigg(h_{P}^\\prime + \\sum_{i=1}^M h_{P,i} r_i \\bigg) \\prod_{G \\in \\mathcal{G}_{P}} \\nu_{f(G)}.\n",
+    "\\end{aligned}\n",
+    "\\end{equation}"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9b2be6e0",
+   "metadata": {},
+   "source": [
+    "### Different optimization strategies to find the ground state!"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "f2818f7e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from symmer.utils import exact_gs_energy\n",
+    "\n",
+    "gs_energy, psi = exact_gs_energy(H_noncon.to_sparse_matrix)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "f630f794",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(-24.148988598855286+1.3877787807814457e-16j)\n",
+      "(-24.148988598855286+1.3877787807814457e-16j)\n"
+     ]
+    }
+   ],
+   "source": [
+    "i=8\n",
+    "print(psi.dagger * H_noncon * psi)\n",
+    "print(psi.dagger * H_noncon.symmetry_generators[i].dagger * H_noncon * H_noncon.symmetry_generators[i] * psi)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "94b357c1",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "1"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "np.sum(np.array([False, True, False]))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "33ad22fd",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/independent_op.py:245: UserWarning: The stabilizers ['IIIIIIZIII'] were assigned zero values - bad reference state.\n",
+      "  warnings.warn(f'The stabilizers {S_zero} were assigned zero values - bad reference state.')\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "(-24.148988598850025,\n",
+       "  1 IIIIIIIIIZ \n",
+       "  1 IIIIIIIIZI \n",
+       "  1 IIIIIIIZII \n",
+       " -1 IIIIIIZIII \n",
+       "  1 IIIIIZIIII \n",
+       "  1 IIIIZIIIII \n",
+       " -1 IIZIIIIIII \n",
+       "  1 IZIZIIIIII \n",
+       " -1 ZIIIIIIIII)"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# %%timeit\n",
+    "H_noncon.solve(strategy='brute_force', ref_state=psi)\n",
+    "H_noncon.energy, H_noncon.symmetry_generators"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "323ab3d2",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/independent_op.py:245: UserWarning: The stabilizers ['IIIIIIZIII'] were assigned zero values - bad reference state.\n",
+      "  warnings.warn(f'The stabilizers {S_zero} were assigned zero values - bad reference state.')\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "-23.94847036640803"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# %%timeit\n",
+    "H_noncon.solve(strategy='binary_relaxation', ref_state=psi)\n",
+    "H_noncon.energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "31adf9dd",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# PUSO = Polynomial unconstrained spin Optimization\n",
+    "# QUSO: Quadratic Unconstrained Spin Optimization"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "0424df70",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       " 1 IIIIIIIIIZ \n",
+       " 1 IIIIIIIIZI \n",
+       " 1 IIIIIIIZII \n",
+       " 1 IIIIIIZIII \n",
+       " 1 IIIIIZIIII \n",
+       " 1 IIIIZIIIII \n",
+       "-1 IIZIIIIIII \n",
+       " 1 IZIZIIIIII \n",
+       "-1 ZIIIIIIIII"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "H_noncon.symmetry_generators"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "3acb2a85",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/independent_op.py:245: UserWarning: The stabilizers ['IIIIIIZIII'] were assigned zero values - bad reference state.\n",
+      "  warnings.warn(f'The stabilizers {S_zero} were assigned zero values - bad reference state.')\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "-24.14898859885364"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# %%timeit\n",
+    "H_noncon.solve(strategy='brute_force_PUSO', ref_state=psi)\n",
+    "H_noncon.energy#, H_noncon.symmetry_generators"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "2831634a",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([ 1,  1,  1, -1,  1,  1, -1,  1, -1])"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "H_noncon.symmetry_generators.coeff_vec"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "27920508",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/independent_op.py:245: UserWarning: The stabilizers ['IIIIIIZIII'] were assigned zero values - bad reference state.\n",
+      "  warnings.warn(f'The stabilizers {S_zero} were assigned zero values - bad reference state.')\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "-24.14898859885364"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# %%timeit\n",
+    "H_noncon.solve(strategy='brute_force_QUSO', ref_state=psi)\n",
+    "H_noncon.energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "e936e9c0",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/independent_op.py:245: UserWarning: The stabilizers ['IIIIIIZIII'] were assigned zero values - bad reference state.\n",
+      "  warnings.warn(f'The stabilizers {S_zero} were assigned zero values - bad reference state.')\n",
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/noncontextual_op.py:505: QUBOVertWarning: The input problem has degree <= 2; consider using the ``qubovert.sim.anneal_qubo`` or ``qubovert.sim.anneal_quso`` functions, which are significantly faster than this function because they take advantage of the low degree.\n",
+      "  puso_res = qv.sim.anneal_puso(spin_problem, num_anneals=self.num_anneals)\n",
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/noncontextual_op.py:505: QUBOVertWarning: The input problem has degree <= 2; consider using the ``qubovert.sim.anneal_qubo`` or ``qubovert.sim.anneal_quso`` functions, which are significantly faster than this function because they take advantage of the low degree.\n",
+      "  puso_res = qv.sim.anneal_puso(spin_problem, num_anneals=self.num_anneals)\n",
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/noncontextual_op.py:505: QUBOVertWarning: The input problem has degree <= 2; consider using the ``qubovert.sim.anneal_qubo`` or ``qubovert.sim.anneal_quso`` functions, which are significantly faster than this function because they take advantage of the low degree.\n",
+      "  puso_res = qv.sim.anneal_puso(spin_problem, num_anneals=self.num_anneals)\n",
+      "/home/tweaving/anaconda3/envs/symmer/lib/python3.8/site-packages/symmer/symplectic/noncontextual_op.py:505: QUBOVertWarning: The input problem has degree <= 2; consider using the ``qubovert.sim.anneal_qubo`` or ``qubovert.sim.anneal_quso`` functions, which are significantly faster than this function because they take advantage of the low degree.\n",
+      "  puso_res = qv.sim.anneal_puso(spin_problem, num_anneals=self.num_anneals)\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "-24.14898859885364"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# %%timeit\n",
+    "H_noncon.solve(strategy='annealing_PUSO', num_anneals=100, ref_state=psi)\n",
+    "H_noncon.energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "629242b0",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      " 0.965+0.262j |1111001000>\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "1.4992451724538114e-12"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# %%timeit\n",
+    "ref = psi.cleanup(zero_threshold=1e-4).sort()[0].normalize\n",
+    "print(ref)\n",
+    "\n",
+    "H_noncon.solve(strategy='annealing_QUSO', num_anneals=10, ref_state=ref)\n",
+    "H_noncon.energy - gs_energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "b9df357c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       " 1 IIIIIIIIIZ \n",
+       " 1 IIIIIIIIZI \n",
+       " 1 IIIIIIIZII \n",
+       "-1 IIIIIIZIII \n",
+       " 1 IIIIIZIIII \n",
+       " 1 IIIIZIIIII \n",
+       "-1 IIZIIIIIII \n",
+       " 1 IZIZIIIIII \n",
+       "-1 ZIIIIIIIII"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "H_noncon.symmetry_generators.update_sector(ref)\n",
+    "H_noncon.symmetry_generators"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "7785b4df",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "9aeb12c3",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# # brute_force_PUSO\n",
+    "# energy, nu, r = H_noncon._energy_via_brute_force_xUSO(x='P')\n",
+    "# energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "abcdaa08",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# # brute_force_QUSO\n",
+    "# energy, nu, r = H_noncon._energy_via_brute_force_xUSO(x='Q')\n",
+    "# energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "id": "bf850a88",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# # annealing_QUSO\n",
+    "# energy, nu, r = H_noncon._energy_via_annealing_xUSO(x='Q', num_anneals=1000)\n",
+    "# energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "id": "9f9802a5",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# # annealing_PUSO\n",
+    "# energy, nu, r = H_noncon._energy_via_annealing_xUSO(x='P', num_anneals=100)\n",
+    "# energy"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "884f6fa1",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "bf4b3e9f",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "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": "3.9.16"
+  },
+  "vscode": {
+   "interpreter": {
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+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}