diff --git a/optimatrix/__init__.py b/optimatrix/__init__.py index 1d6a9cb..70e5980 100644 --- a/optimatrix/__init__.py +++ b/optimatrix/__init__.py @@ -1,9 +1,8 @@ -from .optimiser import minimize_bandwidth_global, minimize_bandwidth +from .optimiser import minimize_bandwidth from .permutations import permute_list, permute_matrix, invert_permutation __all__ = [ "minimize_bandwidth", - "minimize_bandwidth_global", "permute_list", "permute_matrix", "invert_permutation", diff --git a/optimatrix/example/1d_system.ipynb b/optimatrix/example/1d_system.ipynb index 4196aec..ac26613 100644 --- a/optimatrix/example/1d_system.ipynb +++ b/optimatrix/example/1d_system.ipynb @@ -11,16 +11,16 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "'1.1.1'" + "'1.2.0'" ] }, - "execution_count": 6, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -28,7 +28,7 @@ "source": [ "import pulser\n", "import numpy as np\n", - "import example.helpers as helpers\n", + "import helpers as helpers\n", "\n", "import optimatrix\n", "pulser.__version__" @@ -36,7 +36,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -50,12 +50,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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", 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", 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" ] @@ -82,23 +82,22 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "n permutations: 0\n", "optimal permutation is\n", - " [5, 2, 0, 3, 4, 1]\n" + " [2, 3, 5, 4, 0, 1]\n" ] } ], "source": [ "interactions = helpers.reciprocal_dist_matrix(chain)\n", "\n", - "optimal_permutation = optimatrix.minimize_bandwidth(interactions)\n", + "optimal_permutation = optimatrix.minimize_bandwidth(interactions, 100)\n", "print(\"optimal permutation is\\n\", optimal_permutation)\n", "\n", "#optimal_permutation = list(range(len(optimal_permutation)))\n", @@ -108,12 +107,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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eSZTyIeVF3J4PyAxElIyQn3b9JKcvns7z9wJem+/bbd2s9iM/6245ukW2x23Xi72Ebwk9hj6Gj+AfHsA4dmgKyM823Ox85mXd7I6PHdadvXG2+Pn6SUhAxjbosMAw8RVfmbt5bpb77E3XiSfX/X7H93Lu0jmJKh2l1x2uP1yHuB7Lh5WXDUc2yJ74PbY893Z4RqDJbtW+VRJZKlJL/L99iUhUWJRcuHxBM6cFOUeeWtcuz4h5W+ZpbVPpoNKu6w9QA4BaO9zjCDYtyHXikYA/tGdn/uNo58fkIR9+6LmSL/o5btiwQYPqTChNtG3bViOcs4KIe/fBd8yueBgq8Xe/+51rIhRMvIM2ZfTXr1Wrlmt9DGaEg33PPfdoVwuUGiJ9IiUqOUou+12W8wG/TfgR6xsryanJEnc2TsqFldP30DSBbi4IhnGfUhX9htEtC9Otms0PqL3AMbzlllu0RsOEfcb0ouguWKZMGX0PbZKoTsVn8R0mzCGACSEQiFm2bFnX+dq6dasGLLmPD71t2zYNrkMmCsEl5vHBPAUIOkEQowl/C0FkGPzEnHwHfU7Xr1+vx9B9VCrsA6JWMakMAqfM7lJr166VwwmHtdrabBopk1ZGSqaXlIv+FyXJP0kfxqfOn9J2YsSP3Hfffa7v3b9/vwYCot3fbPvHtYfAU0CgltmdDOcS5xS9LKpXr/5brMav7c+YYtnP7/qlf/ToUQ3MRH94BLOa8L34DKLmzdEbEXyIax3HwBwIBnD9YRIOND8hM2rWhKHvM9rt3MfWR9cnXMs4F2YQGc49AsswQIr7lNg4vjh2GNYTzVXYngvnL0g9v3ril+on5wJ/qyWJSImQUL9QOXPut4hhnDOcZ7P92j2CGOca1ySuTUBTGK4fbL97MxrOPa6h2rVru7r34hpDzRvuCdwbJgQooX0Xx9EcXwDXLq53BAY3b97ctS721wyOrVSpkr6HexXTD+O+xvk04TjieCLeqEqVKvoeHo64j812ZRPOD84TIsyrVaum7+EeNs/96Sun9TrD3whNC9UlyS9JLgZc1GprZAzWrl4rJ8NPZpgsKbfPCMB1iusV95V7LwHsG7Yb07WaU9162zPi6MmjUjW9qsZJJMhv/fbDU8Ml6GqQnMG/xDP5fkbgvnSfAh3HBscI5xLnFHD/4J7z1mfE0YSjEhwQLKWulpLSqaXlSokr8kvg9XQVzVAhiSGyeOliaXZPszw/IwDH1jxfhZr4o8tGVt566y2ZPXu2Rs16Ah4qOJGZxxfAzzgoWRkxYoS89tprhbYNSNSvylUx3Iv9v0q9mqolsltK3lJof6+4Qc420C9Q21dxkbtDThjHNbxkuEiaZZtoa3hwlS1VVtIS0sQvi1s37VqaRIbZZ1hV3K9ImPBANBNtq5UNKavXGdpXM8N1iUStpP/1DBzd6JZSt+hzDs+7zMznIqqzKXso/Ow/sz/L3+EaDA4M1tpkTyu0gD/kdlDC8dQ49sjRIZeI3L57H+a//e1vsnTpUteAOjcr+SOnhxIRcshmLhA5dxwG/OzeNmlWK+E9/G7r8a3S+/PeElAiQCJCI0R+Hbck/Vq6HDp9SDrX7ywju43M8/cC1jOrdNyjou2wblb7kZ91sTw++XHZfGyztrGimhqlMDyI4y7EaZDLNwO+kYiQiDxvg/t+FHTd7I6PHdb9YuUXMmbBGK22Dgq8XtKEy8mX5XTiafnH7/8h3e/ubovrBJ/F9K54DyUp9ymHC+uayuu6cefjpPvE7pp4mVX/ZmYAD+Rm1ZvJJ49/4vq8nc69XZ4RCPZDuzXaq7X5Tn8h2myHYzml7xSJrRBbJOfTG58R87bOk2Ezh0lEqQgJCwq7nmnyuR7Mi3iowW0GS7+W/Qp0neRmUK08l/yzg6rEwp51yB2qxXCiMUWpO/yc3TzwqIrJasIdfI/7wckuGClz16Q7br1DejXrJZ+v+FwOnj0ooUGh+hBBtDou9qfbPJ2v7wV8Lqv37bBuVvuRn3WxDG0/VIZ8NUT2n96vx6+ETwm5mHxRE/7BbQdL+dJZjxxZWNuQm3XBrut2a9RNVh1Ypd1NUTpAbcql1Etac3L/bfdL5wadbXOd4GezyjnzeCBFeT7d140uGy1Pt35axi8ar4l9WHCYBv8lJSdJ5bKV5f/a/Z+ruvdm31vU594uz4jn2j6nx868h9H2f/HKRa3VG9hqoD4Lc/peq859Ya4L+V33gToPaGDf/G3ztZkJzz4EPKekp8g91e6Rx5o8dsN35/U68UjJH9H2mSEBnjNnjk4mYrbhmAF6hQnt0GgzQfc+MzeEdqBBgwbJiy++WGT9/NG3dcaGGbL75G5tJ+xwRwfp3qi7VCxz47S+dKN9p/bJ1+u/1uA+1JrcVeUu6XZXtxv6CFPWkNnE9Yc+wiht4brrcmcX6XpXVwny/602gHIeq2P6+umy6dgmTbTa3d5OHmn0iMREZj+OCf0GJVTcwwu2L9CEq25UXc2YIgPqrUM5F6XU9FSZvWm2Rv3jWKI5qvOdneXhux7WDGlRyHPi37p169x9sY+P/PTTT1LYXf0wPSnm20YmAKNHYdpNtPnnZq6Bwkj83SHzgf3kxZ4/5qXH41ewa9Au3ei8Ee/hgt/DWHgNet89nOdqfyvH9cfwh4hkxJzRiABFdCtmLrNqkiFe8AXDB27xvgaRKJjjlaPXgx3Pt52Pnzdgxsl7r0GvG+GvIAq75E9E2bPz8L5ETperLEf79u21j+rNoP/oqFGjdAheIiL0qjH7nhORfeSq2h8z1nXt2lVLzZg1DANBYMADDGqBASIwuAcGPJg/f74G/WHsfSJyNpT00TRHRPaT62p/9JfHPOEIukNCj6pz/QIfHx0BCmPsY75mjARmV6z2JyIiKkCbPxJQDOiDISIz9+G1Kyb+REREBRjkB4moOZYwEVFWAX+YKwIwABgD/ojso9BG+CMiyiwpKcnqTSCiLDDxJyKP9V82ZyBjf3oie2HiT0QegWBgTEFKRPbD7DgREZHD5Dnxx9j6mKaTiCgn6Eh07tw5XRw0kChR8Uz80U2ubdu2UrNmTXn77bclLi7OM1tGRF4/Ycm2bdt0MedJJyIvTfxnz56tCf7AgQN1wJ+qVatKhw4dZMaMGZKWluaZrSQirxQaGqoLEdlLgSf22bhxo0yePFk+/fRTCQkJkZ49e8rTTz+tNQN2w0F+iIiIChjwFx8fL4sWLdIFA3h07NhRq/gw3O/48eMLbyuJiIjIupI/qvbnzp2rpf3vv/9e+/H27dtX/vSnP7lK07NmzZI+ffropD92wpI/ERFRPvr5V6xYUYN3HnvsMVm7dm2Ws3a1bt2a03gSORyG992yZYu+rl+/Pof3JfLmxB/V+ZjiF9P5ZgcJ/6FDhwq6bUTk5VDbRkTFMODPm7Dan6jo+/kDZv/EiH9EZA8c3peIPAKJfUREhNWbQURZ4PC+REREDsOSPxF5rNofTWyA5jZW+xPZB0v+ROQR6BW0efNmXTi8L5G9sORPRB5TsmRJqzeBiLLAxJ+IPAL9+u+++26rN4OIssBqfyIiIodh4k9EROQwrPYnIo8N77t9+3Z9XbduXQ7vS2QjTPyJyGPsNrkXFf8MJyafcwJ/f/8CZaiZ+BORR/j6+krt2rVdr4k8KSkpSY4fP67jSziBj4+PVKpUSUJCQopv4n/48GF544035KeffpKTJ09KVFSU9OzZU1566SUJCAiwevOIKJuHU/ny5a3eDHJIiR8JP7qWRkZGFvsBpQzDkDNnzug+16xZM181AF6R+O/evVsHCZk4caLUqFFD2xH79esnly5dkrFjx1q9eUREZCFU9SNBRMIfHBwsThAZGakFY+x7sU3827dvr4upWrVqsmfPHvnoo4+Y+BPZFB7GiYmJ+jo0NLTYl8bIek66xnwKuK9ekfhnBWOGh4eH57hOSkqKLibOLU5UdFBbt3HjRn3dokULRvsT2YhXRuHs379fJkyYIP37989xvREjRuiEIuZSuXLlIttGIhIJCgrShchOktOS5VjCMUlMvl4zlV/nz5+XkSNHijfyMSwMjXzxxRdl1KhROa6za9cuue2221w/x8XFyX333SetWrWSTz/9NM8lf2QAUGsQFhZWCHtARERWS05OlkOHDklMTEyOmU3URn259kuZsnqKnE06K6UCSknnOzvLwFYDJTgg77ECaHO/8847NRNg1322ZbX/888/L0888USO66B933TixAlp3bq1NGvWTCZNmnTT7w8MDNSFiIho2rppMuq7UVLCt4SUKVlGLqVckknLJmkNwPCHhuf42R49emisWWpqqhYiP/vsMxkwYIDGtSAD4OfnJ+vXr9eaabx/+vRp7eL66quvSpcuXVzt9G+++abMnTtXTp06Je+8844WcL/55hstlH7yySdasEUkP/5efHy8fuauu+6SyZMnF+qx8LM6WhFLbqDEj4TfPAjsN0xERLmVmp4qU1dP1bSjcvj1JuDQoFDxK+En87fNlyfvfVIqhVfK9vNIqM30ClX9SNQ//vhjTfgxbbUJiXafPn20WXrfvn1yzz33SIMGDaRKlSr6e/TLX7Nmjfz444/SuXNnef/99zXTMH36dHnhhRdk3bp1MmXKFC3Rf//99/qZhISEQj8eXhHwh4QfuSEcPET3I1dkqlChgqXbRkTZV7Hu3LlTX99+++3MsJOlfrn8i5xJOiOlg0tneB8/H//luBxNOJpj4v/ll1/Kf/7zH61uxxIREXHDOqgFQJDrypUr9Wf0wb/33ntl+fLlrsS/e/fu+n+jRo20u/qjjz6qP2MGTGQWABmG8ePHa+14y5YtM/R2KyxecTcuWrRIq1KQU8KIRhUrVnQtRGRPCCc6e/asLk4ZdY3sC4k8lqSUpAzv4+dg/2CpUDr7guSKFSvkvffek/nz5+s4M+PGjdMMQH665Jnt82bvF/ef09PT9XXTpk21NqFJkyYyc+ZMady4sQ5k5LjEH3EBeHhktRCRPeGhFxsbq4uT+l+TPQX5B8nDdz0syanJcuriKUlJT5GESwlyJvGMtKjZQqpF/hZfltUcFRiromzZstrmjwHnAIHjV65c0fcA6zRs2NDVPo9CKzIOKL3nBQL50DzwyCOPaM+2vXv36vDFjqv2JyLvg2p+DMVNZBe9m/fW4L5Zm2ZJ/IV4LfE/WO9BeanTSzl+DtXuaIevVauWZgDatm2rzdEYa6ZXr15Sr149TazRdj916lQN+ENbPjK96JUWHR2dp+1csmSJ1i6YtQFjxozR7urFpqtfUUNXPxxAdvUjIio+8trt7WziWTmScETKhZZzBf95G6/u6kdExRfKFZcvX9bXmHCFVf9kFxGhEbo4mVe0+RORd0b7o9sSFrwmIvtgyZ+IPMbf39/qTSAHcVArthR0X5n4E5FHIFipefPmVm8GOYDZbQ5R906Z0jf11x4G+Z0wi4k/ERF5NQyti7gSDACH2qbiPqDUtWvXdF+xz9j3/GDiT0REXg3BpBj0DdHvR44cESfw9fXVLoT5DaRl4k9EHiud7N69W19jZs7iXhojawUEBOhwumZ1uBP217cA9xQTfyLyWEASZjYDDI5C5GlIDPPT592JmPgTkUegOrJGjRqu10RkH0z8ichjpTBMxEVE9sNGOCIiIodhyZ+IPNbmn5KSoq8DAwNZ9U9kIyz5E5HHov1Xr16tC4f3JbIXlvyJyGPYvY/InjilLxERkcMwW05EROQwTPyJiIgchm3+ROQRCPLbt2+fvsawq2z/J7IP3o1E5BEIJ4qPj9fFQaFFRF6BJX8i8gj064+JiXG9JiL7YOJPRB6Bav4qVapYvRlElAVW+xMRETkMS/5E5BFo509LS9PX/v7+rPonshGW/InIY9H+q1at0oXD+xLZi6NK/mbEMUb6IyLPunr1qly6dMl1z5UoUcLqTSJyjNDQ0Bxr2xyV+CcmJur/lStXtnpTiIiIPOZmw9g7amx/VD2eOHHipjmi3EJpBhmJY8eOefVcAdwPeyku+1Gc9oX7YS/FZT88uS8s+WfqelSpUqVC/16cMG+/AIH7YS/FZT+K075wP+yluOyHFfvCgD8iIiKHYeJPRETkMEz8CyAwMFCGDx+u/3sz7oe9FJf9KE77wv2wl+KyH1bui6MC/oiIiIglfyIiIsdh4k9EROQwTPyJiIgchok/ERGRwzDxz8Fbb70lzZo1k5IlS0qZMmWyXOfo0aPSqVMnXadcuXLywgsvSHp6eo7fm5CQID169NABHfC9Tz75pCQlJUlRWbJkiY78lNWybt26bD/XqlWrG9YfMGCAWKlq1ao3bNPIkSNz/ExycrI888wzUrZsWQkJCZGuXbvKqVOnxCqHDx/WayAmJkaCg4OlevXqGv2bmpqa4+fscj4++OADPQ9BQUHSpEkTWbt2bY7rT58+XW677TZd/4477pD58+eLlUaMGCGNGzfWEdFwD3fp0kX27NmT42e++OKLG4499sdKr7766g3bhOPsTecip/saC+5bO5+PZcuWyYMPPihRUVG6DbNnz87we8TXv/LKK1KxYkW919u2bSv79u0r9HssN5j45wAP327dusnAgQOznbgECT/Ww8xl//rXv/QixMnNCRL+HTt2yKJFi2TevHl6wTz11FNSVJChiY+Pz7D07dtXE59GjRrl+Nl+/fpl+Nzo0aPFaq+//nqGbXr22WdzXH/IkCHy7bff6oNv6dKlOuTzH//4R7HK7t27dejpiRMn6nUxfvx4+fjjj+Xvf//7TT9r9fn46quv5K9//atmVjZu3Cj169eXBx54QE6fPp3l+rhPHnvsMc3sbNq0SRNaLNu3bxer4BpAorJ69Wq9JzENcbt27VyTEmUHmXf3Y3/kyBGxWp06dTJs04oVK7Jd147nwoRCiPt+4LwAnsd2Ph+XLl3SewCJdVZwf7733nt6f69Zs0ZKlSql9wsKJIV1j+UauvpRziZPnmyULl36hvfnz59v+Pr6GidPnnS999FHHxlhYWFGSkpKlt+1c+dOdK001q1b53rvu+++M3x8fIy4uDjDCqmpqUZkZKTx+uuv57jefffdZzz33HOGnVSpUsUYP358rtc/f/684e/vb0yfPt313q5du/Sc/Pzzz4ZdjB492oiJibH9+bj77ruNZ555xvXz1atXjaioKGPEiBFZrv/II48YnTp1yvBekyZNjP79+xt2cfr0ab0eli5dmudngpWGDx9u1K9fP9fre8O5MOE6r169unHt2jWvOR8iYsyaNcv1M7a9QoUKxpgxYzI8jwIDA43//ve/hXaP5RZL/gXw888/a1VZ+fLlXe8hR4aJGlCCy+4zqOp3L2Gj6gfzDiAnaIW5c+fKuXPnpHfv3jddd+rUqRIRESF169aVYcOGyeXLl8VqqOZHFX6DBg1kzJgxOTa7bNiwQUt2OOYmVHtGR0frubHTjFzh4eG2Ph+o8cLxdD+WuI7xc3bHEu+7r2/eM3Y79nCz44+muipVquikLJ07d872ni9KqEJGlXO1atW0hhHNktnxhnNhXmdTpkyRPn365DhRjR3Ph7tDhw7JyZMnMxzz0qVLazV+dsc8P/dYbjlqYp/ChhPpnvCD+TN+l91n0K7ozs/PTx802X3G0z777DO96W826dGf/vQnvbnwcNm6dasMHTpU20ZnzpwpVvnLX/4iDRs21OOHakwkgKjyGzduXJbr4xgHBATcEMOB82bV8c9s//79MmHCBBk7dqytz8fZs2e16SurewBNGXm5Z+xy7NH8MnjwYGnevLlmqLJTq1Yt+fzzz6VevXqaWcC5QnMaEhxPTB6WG0hE0OyIbcM98Nprr0mLFi20Gh/xDN52LkxoNz9//rw88cQTXnU+MjOPa16OeX7usdxyXOL/4osvyqhRo3JcZ9euXTcNlCku+3b8+HFZuHChfP311zf9fve4BNR4IGilTZs2cuDAAQ1Ss2I/0BZmwo2PhL1///4axGX10J/5OR9xcXHSvn17bdtEe74dzoeToO0fiWVObeXQtGlTXUxIaGrXrq1xG2+88YZYoUOHDhnuBWQGkDnEvY12fW+Fwgn2DZlcbzofdue4xP/555/PMQcJqDLLjQoVKtwQdWlGjeN32X0mc6AGqqnRAyC7z3hy3yZPnqxV5g899FCe/x4eLmZJtTATm4KcI2wTjici6FEayAzHGFVpKEm4l/5x3gp6/Au6Hwg8bN26tT64Jk2aZJvzkR00N5QoUeKGnhI5HUu8n5f1i9KgQYNcAbh5LS36+/trsxOOvV3g+o6Njc12m+x8LkwI2vvhhx/yXJtlx/NR4dfjimOMjLoJP995552Fdo/lWoEiBhziZgF/p06dcr03ceJEDfhLTk7OMeBv/fr1rvcWLlxoScAfAlAQVPb888/n6/MrVqzQfdmyZYthF1OmTNFzkpCQkGPA34wZM1zv7d692/KAv+PHjxs1a9Y0Hn30USM9Pd1rzgeCkQYNGpQhGOnWW2/NMeDv97//fYb3mjZtammQGe4DBFQhiGrv3r35+g6cs1q1ahlDhgwx7CIxMdG45ZZbjHfffddrzkVWQYwIkktLS/O68yHZBPyNHTvW9d6FCxdyFfCXl3ss19tXoE8Xc0eOHDE2bdpkvPbaa0ZISIi+xoKbyrzA6tata7Rr187YvHmzsWDBAo2aHzZsmOs71qxZoxchHu6m9u3bGw0aNNDf4YGNh/5jjz1W5Pv3ww8/6AWKaPfMsL3Ybmwj7N+/X3sDINNy6NAhY86cOUa1atWMli1bGlZZtWqVRvrj2B84cEATfhz/Xr16ZbsfMGDAACM6Otr46aefdH/wwMNiFWxjjRo1jDZt2ujr+Ph412L38zFt2jR9eH3xxReasX3qqaeMMmXKuHrAPP7448aLL77oWn/lypWGn5+fPgBx3eHhjszYtm3bDKsMHDhQM/dLlizJcOwvX77sWifzfuCZgEw7rrsNGzZopi0oKMjYsWOHRXthaCYe+4DrAce5bdu2RkREhPZe8JZz4Q6JHO7ToUOH3vA7u56PxMREVzqBZ+u4ceP0NdISGDlypN4fuF+3bt1qdO7cWQtgV65ccX3H/fffb0yYMCHX91h+MfHPwZ///Gc9gZmXxYsXu9Y5fPiw0aFDByM4OFhvNNyA7rlUrIvP4IY0nTt3ThN7ZChQS9C7d29XhqIoYRuaNWuW5e+wve77evToUU1YwsPD9UJEYvXCCy9oztUquMnRNQkPbtzotWvXNt5+++0MtS6Z9wNwoz399NNaKipZsqTxhz/8IUNCa0XNUlbXmXvFnJ3PBx5UeEgHBARoKWX16tUZuiPiPnL39ddfG7Gxsbp+nTp1jP/973+GlbI79jgv2e3H4MGDXftcvnx5o2PHjsbGjRsNK3Xv3t2oWLGibhNKhvgZmURvOhfukJjjPOzZs+eG39n1fCz+9XmfeTG3FaX/l19+WbcR9y0y/Jn3D92XkRHL7T2WX5zSl4iIyGHYz5+IiMhhmPgTERE5DBN/IiIih2HiT0RE5DBM/ImIiByGiT8REZHDMPEnIiJyGCb+REREDsPEn4gKPOtau3btPP53FixYoBOgYNpdIioYJv5ElG/Jycny8ssvy/Dhwz3+tzDVMWZrmzp1qsf/FlFxx8SfiPJtxowZEhYWJs2bNy+Sv4cpkt97770i+VtExRkTfyKSM2fO6Pzgb7/9tuu9VatWSUBAgPz444/Zfm7atGny4IMPZnivVatWMnjw4AzvdenSRRNuU9WqVeXNN9+UXr16SUhIiFSpUkXmzp2r29G5c2d9r169erJ+/foM34O/hfcOHDhQCHtN5FxM/IlIIiMj5fPPP5dXX31VE9fExER5/PHHZdCgQdKmTZtsP7dixQpp1KhRvv7m+PHjtcZg06ZN0qlTJ/17yAz07NlTNm7cKNWrV9ef3ecei46OlvLly8vy5cvz9TeJ6Dom/kSkOnbsKP369ZMePXrIgAEDpFSpUjJixIhs1z9//rxcuHBBoqKi8v33+vfvLzVr1pRXXnlFLl68KI0bN5Zu3bpJbGysDB06VHbt2iWnTp3K8Dn8vSNHjuTrbxLRdUz8ichl7Nixkp6eLtOnT9fAusDAwGzXvXLliv4fFBSUr7+Fan0TSvNwxx133PDe6dOnM3wuODhYLl++nK+/SUTXMfEnIhe0pZ84cUK70x0+fDjHdcuWLSs+Pj7yyy+/3PR7r169esN7iNw34Xuyey9z176EhARtpiCi/GPiT0QqNTVV29u7d+8ub7zxhvTt2/eGUrc7BAPefvvtsnPnzht+l7mq/uDBg4XWtRAZlAYNGhTK9xE5FRN/IlIvvfSStuGjKx3a29Hu3qdPnxw/88ADD2jQX2Zz5syRmTNnakL91ltvaQYB7fRxcXEF2sbVq1drU0TTpk0L9D1ETsfEn4hkyZIl8s4778h//vMf7bfv6+urrxFV/9FHH2X7uSeffFLmz5+vmQZ3iN4fPXq01gwsW7ZMPvzwQ1m7dq1+Z0H897//1YDEkiVLFuh7iJzOx3DvR0NElEeIzm/YsKEMGzbM1c8fw/AiM1GYzp49K7Vq1dKuiDExMYX63UROw5I/ERXImDFjdFAeT0MAImoQmPATFRxL/kRUqDxV8ieiwsPEn4iIyGFY7U9EROQwTPyJiIgchok/ERGRwzDxJyIichgm/kRERA7DxJ+IiMhhmPgTERE5DBN/IiIicZb/B3jsFaxRPDO3AAAAAElFTkSuQmCC", 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" ] diff --git a/optimatrix/example/2d_grid.ipynb b/optimatrix/example/2d_grid.ipynb index 6b3849d..d743e56 100644 --- a/optimatrix/example/2d_grid.ipynb +++ b/optimatrix/example/2d_grid.ipynb @@ -13,20 +13,20 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pulser\n", "import numpy as np\n", - "import example.helpers as helpers\n", + "import helpers as helpers\n", "\n", "import optimatrix" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -51,19 +51,19 @@ " return pulser.Register.from_coordinates(rotated_coords, center = True)\n", "\n", "\n", - "chain = two_dim_lattice(3, 2)" + "chain = two_dim_lattice(5, 5)" ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" + "
" ] }, "metadata": {}, @@ -76,7 +76,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -84,14 +84,14 @@ "output_type": "stream", "text": [ "optimal permutation is\n", - " [0, 1, 2, 3, 4, 5]\n" + " [24, 23, 19, 22, 18, 14, 21, 17, 13, 9, 20, 16, 12, 8, 4, 15, 11, 7, 3, 10, 6, 2, 5, 1, 0]\n" ] }, { "data": { - "image/png": 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", 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", 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" + "
" ] }, "metadata": {}, @@ -109,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -117,14 +117,14 @@ "output_type": "stream", "text": [ "optimal permutation is\n", - " [3, 1, 2, 5, 4, 0]\n" + " [11, 4, 15, 7, 6, 23, 21, 1, 16, 13, 3, 10, 5, 9, 8, 20, 2, 14, 18, 22, 0, 17, 12, 24, 19]\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] }, "metadata": {}, @@ -147,19 +147,138 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[0. 0.25 0.5 0.2 1. 1. ]\n", - " [0.25 0. 0.5 1. 0.2 1. ]\n", - " [0.5 0.5 0. 1. 1. 1. ]\n", - " [0.2 1. 1. 0. 0.25 0.5 ]\n", - " [1. 0.2 1. 0.25 0. 0.5 ]\n", - " [1. 1. 1. 0.5 0.5 0. ]]\n" + "[[0. 0.2 1. 0.1 0.07692308 0.5\n", + " 0.125 0.1 0.1 0.25 0.25 0.05555556\n", + " 1. 0.11111111 1. 0.07692308 0.2 0.5\n", + " 0.2 0.5 0.2 0.11111111 0.5 0.1\n", + " 1. ]\n", + " [0.2 0. 0.5 0.2 0.5 1.\n", + " 1. 1. 0.07692308 0.2 1. 0.2\n", + " 0.125 0.125 0.25 0.25 0.5 0.11111111\n", + " 0.1 0.07692308 0.25 0.5 0.2 0.2\n", + " 0.1 ]\n", + " [1. 0.5 0. 0.2 0.125 1.\n", + " 0.2 0.2 0.07692308 0.2 1. 0.07692308\n", + " 0.5 0.1 0.5 0.1 0.25 0.2\n", + " 0.125 0.2 0.5 0.25 1. 0.11111111\n", + " 0.25 ]\n", + " [0.1 0.2 0.2 0. 0.11111111 0.125\n", + " 0.1 0.25 0.03125 0.05555556 0.5 0.0625\n", + " 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0.05882353 0.2 0.04 0.07692308 0.25\n", + " 0.11111111 0. 0.11111111 0.05882353 0.25 0.05\n", + " 1. ]\n", + " [0.2 0.25 0.5 1. 0.1 0.2\n", + " 0.11111111 0.2 0.04 0.07692308 1. 0.05882353\n", + " 0.25 0.05 0.125 0.0625 0.1 0.07692308\n", + " 0.05555556 0.11111111 0. 0.5 1. 0.05882353\n", + " 0.1 ]\n", + " [0.11111111 0.5 0.25 1. 0.25 0.2\n", + " 0.2 1. 0.04 0.07692308 1. 0.11111111\n", + " 0.1 0.05555556 0.1 0.1 0.125 0.05882353\n", + " 0.05 0.05882353 0.5 0. 0.2 0.07692308\n", + " 0.0625 ]\n", + " [0.5 0.2 1. 0.25 0.07692308 0.25\n", + " 0.1 0.125 0.05 0.1 0.5 0.05\n", + " 1. 0.05882353 0.2 0.05882353 0.11111111 0.125\n", + " 0.07692308 0.25 1. 0.2 0. 0.0625\n", + " 0.2 ]\n", + " [0.1 0.2 0.11111111 0.05 0.2 0.25\n", + " 0.5 0.125 0.25 0.5 0.1 0.25\n", + " 0.05882353 1. 0.2 1. 1. 0.125\n", + " 0.2 0.05 0.05882353 0.07692308 0.0625 0.\n", + " 0.07692308]\n", + " [1. 0.1 0.25 0.05882353 0.05 0.2\n", + " 0.07692308 0.05882353 0.11111111 0.2 0.11111111 0.04\n", + " 0.5 0.1 0.5 0.05555556 0.125 1.\n", + " 0.25 1. 0.1 0.0625 0.2 0.07692308\n", + " 0. ]]\n" ] } ], @@ -177,7 +296,7 @@ ], "metadata": { "kernelspec": { - "display_name": "optimatrix", + "display_name": ".venv", "language": "python", "name": "python3" }, @@ -191,7 +310,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.14" + "version": "3.12.6" } }, "nbformat": 4, diff --git a/optimatrix/example/dumbbell.ipynb b/optimatrix/example/dumbbell.ipynb index edfd096..79932a8 100644 --- a/optimatrix/example/dumbbell.ipynb +++ b/optimatrix/example/dumbbell.ipynb @@ -12,20 +12,20 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "import pulser\n", "import numpy as np\n", - "import example.helpers as helpers\n", + "import helpers as helpers\n", "\n", "import optimatrix" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -71,21 +71,21 @@ " return pulser.Register.from_coordinates(rotated_coords, center = True)\n", "\n", "\n", - "original_chain = dumbbarrel_coords(20, rotate = 1/(2 * np.pi))\n", + "original_chain = dumbbarrel_coords(3, rotate = 1/(2 * np.pi))\n", "#chain = helpers.shuffle_qubits(original_chain)\n", "chain = original_chain\n" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ - "
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" ] }, "metadata": {}, @@ -98,22 +98,51 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "original interactions [[0. 0.3655409 0.3655409 0.04386491 0.08435559 0.08435559\n", + " 0.25 ]\n", + " [0.3655409 0. 0.3655409 0.02550285 0.04386491 0.0391651\n", + " 0.08022302]\n", + " [0.3655409 0.3655409 0. 0.02550285 0.0391651 0.04386491\n", + " 0.08022302]\n", + " [0.04386491 0.02550285 0.02550285 0. 0.3655409 0.3655409\n", + " 0.12989251]\n", + " [0.08435559 0.04386491 0.0391651 0.3655409 0. 0.3655409\n", + " 0.40232329]\n", + " [0.08435559 0.0391651 0.04386491 0.3655409 0.3655409 0.\n", + " 0.40232329]\n", + " [0.25 0.08022302 0.08022302 0.12989251 0.40232329 0.40232329\n", + " 0. ]]\n", + "195 ms ± 1.41 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n", "optimal permutation is\n", - " [50, 51, 99, 52, 98, 53, 97, 54, 96, 55, 95, 56, 94, 57, 93, 58, 92, 59, 91, 60, 90, 61, 89, 62, 88, 63, 87, 64, 86, 65, 85, 66, 84, 67, 83, 68, 82, 69, 81, 70, 80, 71, 79, 72, 78, 73, 77, 74, 76, 75, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 0, 1, 49, 2, 48, 3, 47, 4, 46, 5, 45, 6, 44, 7, 43, 8, 42, 9, 41, 10, 40, 11, 39, 12, 38, 13, 37, 14, 36, 15, 35, 16, 34, 17, 33, 18, 32, 19, 31, 20, 30, 21, 29, 22, 28, 23, 27, 24, 26, 25]\n" + " [3, 4, 5, 6, 0, 2, 1]\n", + "original interactions [[0. 0.3655409 0.3655409 0.12989251 0.04386491 0.02550285\n", + " 0.02550285]\n", + " [0.3655409 0. 0.3655409 0.40232329 0.08435559 0.0391651\n", + " 0.04386491]\n", + " [0.3655409 0.3655409 0. 0.40232329 0.08435559 0.04386491\n", + " 0.0391651 ]\n", + " [0.12989251 0.40232329 0.40232329 0. 0.25 0.08022302\n", + " 0.08022302]\n", + " [0.04386491 0.08435559 0.08435559 0.25 0. 0.3655409\n", + " 0.3655409 ]\n", + " [0.02550285 0.0391651 0.04386491 0.08022302 0.3655409 0.\n", + " 0.3655409 ]\n", + " [0.02550285 0.04386491 0.0391651 0.08022302 0.3655409 0.3655409\n", + " 0. ]]\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "
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" ] }, "metadata": {}, @@ -122,15 +151,23 @@ ], "source": [ "interactions = helpers.reciprocal_dist_matrix(chain)\n", - "optimal_permutation = optimatrix.minimize_bandwidth(interactions)\n", + "print(\"original interactions\", interactions)\n", + "%timeit optimatrix.minimize_bandwidth(interactions, 20)\n", + "\n", + "optimal_permutation = optimatrix.minimize_bandwidth(interactions, 100)\n", "print(\"optimal permutation is\\n\", optimal_permutation)\n", "chain = helpers.permute_sequence_registers(chain, optimal_permutation)\n", - "chain.draw()" + "print(\"original interactions\", helpers.reciprocal_dist_matrix(chain))\n", + "chain.draw()\n", + "\n", + "# 8.16\n", + "# 8.16 removing copy\n", + "# 8.1 removing copying from introducing threshold" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -138,14 +175,14 @@ "output_type": "stream", "text": [ "optimal permutation is\n", - " [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122]\n" + " [0, 1, 2, 3, 4, 5, 6]\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "
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" ] }, "metadata": {}, @@ -156,7 +193,7 @@ "# Second round of optimisation \n", "\n", "interactions = helpers.reciprocal_dist_matrix(chain)\n", - "optimal_permutation = optimatrix.minimize_bandwidth(interactions)\n", + "optimal_permutation = optimatrix.minimize_bandwidth(interactions,10)\n", "print(\"optimal permutation is\\n\", optimal_permutation)\n", "chain = helpers.permute_sequence_registers(chain, optimal_permutation)\n", "\n", @@ -173,7 +210,7 @@ ], "metadata": { "kernelspec": { - "display_name": "optimatrix", + "display_name": ".venv", "language": "python", "name": "python3" }, @@ -187,7 +224,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.14" + "version": "3.12.6" } }, "nbformat": 4, diff --git a/optimatrix/example/periodic_1d_system.ipynb b/optimatrix/example/periodic_1d_system.ipynb index 274709d..5805245 100644 --- a/optimatrix/example/periodic_1d_system.ipynb +++ b/optimatrix/example/periodic_1d_system.ipynb @@ -12,19 +12,19 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pulser\n", "import numpy as np\n", - "import example.helpers as helpers\n", + "import helpers as helpers\n", "import optimatrix" ] }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -48,12 +48,12 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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", 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", 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" ] @@ -80,40 +80,40 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[0. 0.7236068 2.61803399 0.2763932 0.38196601 0.7236068\n", - " 0.38196601 0.25 0.2763932 2.61803399]\n", - " [0.7236068 0. 0.38196601 0.7236068 2.61803399 0.2763932\n", + "[[0. 0.2763932 0.7236068 0.2763932 2.61803399 2.61803399\n", + " 0.38196601 0.25 0.7236068 0.38196601]\n", + " [0.2763932 0. 0.2763932 0.7236068 0.25 0.38196601\n", + " 2.61803399 2.61803399 0.7236068 0.38196601]\n", + " [0.7236068 0.2763932 0. 0.7236068 2.61803399 0.38196601\n", " 0.25 0.38196601 0.2763932 2.61803399]\n", - " [2.61803399 0.38196601 0. 0.25 0.2763932 2.61803399\n", - " 0.7236068 0.2763932 0.38196601 0.7236068 ]\n", - " [0.2763932 0.7236068 0.25 0. 2.61803399 0.2763932\n", - " 0.38196601 2.61803399 0.7236068 0.38196601]\n", - " [0.38196601 2.61803399 0.2763932 2.61803399 0. 0.25\n", - " 0.2763932 0.7236068 0.38196601 0.7236068 ]\n", - " [0.7236068 0.2763932 2.61803399 0.2763932 0.25 0.\n", - " 2.61803399 0.38196601 0.7236068 0.38196601]\n", - " [0.38196601 0.25 0.7236068 0.38196601 0.2763932 2.61803399\n", + " [0.2763932 0.7236068 0.7236068 0. 0.38196601 0.25\n", + " 0.38196601 2.61803399 0.2763932 2.61803399]\n", + " [2.61803399 0.25 2.61803399 0.38196601 0. 0.7236068\n", + " 0.2763932 0.2763932 0.38196601 0.7236068 ]\n", + " [2.61803399 0.38196601 0.38196601 0.25 0.7236068 0.\n", + " 0.7236068 0.2763932 2.61803399 0.2763932 ]\n", + " [0.38196601 2.61803399 0.25 0.38196601 0.2763932 0.7236068\n", " 0. 0.7236068 2.61803399 0.2763932 ]\n", - " [0.25 0.38196601 0.2763932 2.61803399 0.7236068 0.38196601\n", - " 0.7236068 0. 2.61803399 0.2763932 ]\n", - " [0.2763932 0.2763932 0.38196601 0.7236068 0.38196601 0.7236068\n", - " 2.61803399 2.61803399 0. 0.25 ]\n", - " [2.61803399 2.61803399 0.7236068 0.38196601 0.7236068 0.38196601\n", - " 0.2763932 0.2763932 0.25 0. ]]\n", + " [0.25 2.61803399 0.38196601 2.61803399 0.2763932 0.2763932\n", + " 0.7236068 0. 0.38196601 0.7236068 ]\n", + " [0.7236068 0.7236068 0.2763932 0.2763932 0.38196601 2.61803399\n", + " 2.61803399 0.38196601 0. 0.25 ]\n", + " [0.38196601 0.38196601 2.61803399 2.61803399 0.7236068 0.2763932\n", + " 0.2763932 0.7236068 0.25 0. ]]\n", "optimal permutation is\n", - " [7, 3, 8, 4, 6, 1, 5, 9, 2, 0]\n" + " [3, 7, 9, 1, 2, 6, 4, 8, 0, 5]\n" ] }, { "data": { - "image/png": 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", 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" ] @@ -134,7 +134,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -172,7 +172,7 @@ ], "metadata": { "kernelspec": { - "display_name": "optimatrix", + "display_name": ".venv", "language": "python", "name": "python3" }, @@ -186,7 +186,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.14" + "version": "3.12.6" } }, "nbformat": 4, diff --git a/optimatrix/optimiser.py b/optimatrix/optimiser.py index 0ba78e1..643c16a 100644 --- a/optimatrix/optimiser.py +++ b/optimatrix/optimiser.py @@ -2,6 +2,16 @@ from scipy.sparse.csgraph import reverse_cuthill_mckee import numpy as np from optimatrix.permutations import permute_matrix, permute_list +import itertools + + +def is_symmetric(mat: np.ndarray) -> bool: + if mat.shape[0] != mat.shape[1]: + return False + if not np.allclose(mat, mat.T, atol=1e-8): + return False + + return True def matrix_bandwidth(mat: np.ndarray) -> float: @@ -43,10 +53,6 @@ def matrix_bandwidth(mat: np.ndarray) -> float: 30.0 """ - if mat.shape[0] != mat.shape[1]: - raise ValueError( - f"Input matrix should be square matrix, you provide matrix {mat.shape}" - ) bandwidth = max(abs(el * (index[0] - index[1])) for index, el in np.ndenumerate(mat)) return float(bandwidth) @@ -83,8 +89,9 @@ def minimize_bandwidth_above_threshold(mat: np.ndarray, threshold: float) -> np. matrix_truncated = mat.copy() matrix_truncated[mat < threshold] = 0 - sparse_matrix = csr_matrix(matrix_truncated) # required for the next line - rcm_permutation = reverse_cuthill_mckee(sparse_matrix, symmetric_mode=True) + rcm_permutation = reverse_cuthill_mckee( + csr_matrix(matrix_truncated), symmetric_mode=True + ) return np.array(rcm_permutation) @@ -113,11 +120,7 @@ def minimize_bandwidth_global(mat: np.ndarray) -> list[int]: >>> minimize_bandwidth_global(matrix) [2, 1, 0] """ - if not np.allclose(mat, mat.T, rtol=1e-8, atol=0): - raise ValueError("Input matrix should be symmetric") - - mat_amplitude = np.ptp(np.abs(mat).ravel()) # mat.abs.max - mat.abs().min() - + mat_amplitude = np.max(np.abs(mat)) # Search from 1.0 to 0.1 doesn't change result permutations = ( minimize_bandwidth_above_threshold(mat, trunc * mat_amplitude) @@ -130,16 +133,21 @@ def minimize_bandwidth_global(mat: np.ndarray) -> list[int]: return list(opt_permutation) # opt_permutation is np.ndarray -def minimize_bandwidth(matrix: np.ndarray) -> list[int]: +def minimize_bandwidth_impl( + matrix: np.ndarray, initial_perm: list[int] +) -> tuple[list[int], float]: """ - minimize_bandwidth(matrix) -> list + minimize_bandwidth_impl(matrix, initial_perm) -> list - Finds the permutation list for a symmetric matrix that iteratively minimizes matrix bandwidth. + Applies initial_perm to a matrix and + finds the permutation list for a symmetric matrix that iteratively minimizes matrix bandwidth. Parameters ------- matrix : symmetric square matrix + initial_perm: list of integers + Returns ------- @@ -154,8 +162,9 @@ def minimize_bandwidth(matrix: np.ndarray) -> list[int]: ... [0, 1, 0, 1, 0], ... [0, 0, 1, 0, 1], ... [1, 0, 0, 1, 0]]) - >>> minimize_bandwidth(matrix) # [3, 2, 4, 1, 0] does zig-zag - [3, 2, 4, 1, 0] + >>> id_perm = list(range(matrix.shape[0])) + >>> minimize_bandwidth_impl(matrix, id_perm) # [3, 2, 4, 1, 0] does zig-zag + ([3, 2, 4, 1, 0], 2.0) Simple 1D chain. Cannot be optimised further >>> matrix = np.array([ @@ -164,42 +173,58 @@ def minimize_bandwidth(matrix: np.ndarray) -> list[int]: ... [0, 1, 0, 1, 0], ... [0, 0, 1, 0, 1], ... [0, 0, 0, 1, 0]]) - >>> minimize_bandwidth(matrix) - [0, 1, 2, 3, 4] + >>> id_perm = list(range(matrix.shape[0])) + >>> minimize_bandwidth_impl(matrix, id_perm) + ([0, 1, 2, 3, 4], 1.0) """ - mat = matrix.copy() - permutations: list[list[int]] = [] + if initial_perm != list(range(matrix.shape[0])): + matrix = permute_matrix(matrix, initial_perm) + bandwidth = matrix_bandwidth(matrix) + acc_permutation = initial_perm - trivial_permutation = list(range(matrix.shape[0])) - trivial_permutation.reverse() - - counter = 100 - while True: - if counter < 0: + for counter in range(101): + if counter == 100: raise ( NotImplementedError( "The algorithm takes too many steps, " "probably not converging." ) ) - counter -= 1 - optimal_perm = minimize_bandwidth_global(mat) - if optimal_perm == trivial_permutation: - # when the search converges, it suggests - # a permutation [N, N-1, .., 3, 2, 1, 0] - # which corresponds to the trivial order inversion + optimal_perm = minimize_bandwidth_global(matrix) + test_mat = permute_matrix(matrix, optimal_perm) + new_bandwidth = matrix_bandwidth(test_mat) + + if bandwidth <= new_bandwidth: break - permutations.append(optimal_perm) - mat = permute_matrix(mat, optimal_perm) + matrix = test_mat + acc_permutation = permute_list(acc_permutation, optimal_perm) + bandwidth = new_bandwidth + + return acc_permutation, bandwidth - composition_permutation = list( - range(matrix.shape[0]) - ) # start with trivial permutation - for perm in permutations: - composition_permutation = permute_list(composition_permutation, perm) - return composition_permutation +def minimize_bandwidth(input_mat: np.ndarray, samples: int = 100) -> list[int]: + assert is_symmetric(input_mat), "Input matrix is not symmetric" + input_mat = abs(input_mat) + # We are interested in strength of the interaction, not sign + + L = input_mat.shape[0] + rnd_permutations = itertools.chain( + [list(range(L))], # First element is always the identity list + (np.random.permutation(L).tolist() for _ in range(samples)), + ) + + opt_permutations_and_opt_bandwidth = ( + minimize_bandwidth_impl(input_mat, rnd_perm) for rnd_perm in rnd_permutations + ) + + best_perm, best_bandwidth = min( + opt_permutations_and_opt_bandwidth, + key=lambda perm_and_bandwidth: perm_and_bandwidth[1], + ) + assert best_bandwidth < matrix_bandwidth(input_mat), "Matrix is not optimised" + return best_perm if __name__ == "__main__": diff --git a/optimatrix/permutations.py b/optimatrix/permutations.py index f4a2ab4..b9cb819 100644 --- a/optimatrix/permutations.py +++ b/optimatrix/permutations.py @@ -84,9 +84,8 @@ def permute_matrix(mat: np.ndarray, permutation: list[int]) -> np.ndarray: [8, 7, 9]]) """ - matrix_copy = mat.copy() perm = np.array(permutation) - return matrix_copy[perm, :][:, perm] + return mat[perm, :][:, perm] if __name__ == "__main__": diff --git a/test/optimatrix/test_optimiser.py b/test/optimatrix/test_optimiser.py index d143bbe..de04c63 100644 --- a/test/optimatrix/test_optimiser.py +++ b/test/optimatrix/test_optimiser.py @@ -7,15 +7,6 @@ def test_matrix_bandwidth() -> None: - def test_shape(matrix: np.ndarray) -> None: - msg = f"Input matrix should be square matrix, you provide matrix {matrix.shape}" - with pytest.raises(ValueError) as exc_msg: - optimiser.matrix_bandwidth(matrix) - assert str(exc_msg.value) == msg - - test_shape(np.arange(6).reshape((3, 2))) - test_shape(np.arange(8).reshape((2, 4))) - # Test bandwidth for small matrices 3x3 def check_bandwidth(matrix: np.ndarray, bandwidth_expected: int) -> None: bandwidth = optimiser.matrix_bandwidth(matrix) @@ -65,15 +56,6 @@ def check_bandwidth(matrix: np.ndarray, bandwidth_expected: int) -> None: @pytest.mark.parametrize("N", [10, 20, 30]) def test_minimize_bandwidth_global(N: int) -> None: - def test_symmetric(matrix: np.ndarray) -> None: - with pytest.raises(ValueError) as exc_msg: - optimiser.minimize_bandwidth_global(matrix) - assert str(exc_msg.value) == "Input matrix should be symmetric" - - mat = np.random.rand(N, N) - mat[0, N - 1] = N # just a number to break symmetric condition - test_symmetric(mat) - # Test shuffled 1D ising chain which is described by tridiagonal matrix {1, 0 , 1} mat = np.diag([1] * (N - 1), k=1) mat += np.diag([1] * (N - 1), k=-1) @@ -84,6 +66,13 @@ def test_symmetric(matrix: np.ndarray) -> None: @pytest.mark.parametrize("N", [10, 20, 30]) def test_minimize_bandwidth(N: int) -> None: + # Test sanitizer of symmetric matrices + mat = np.zeros((N, N)) + mat[0, N - 1] = 1.0 # just a sign to break symmetric condition + with pytest.raises(AssertionError) as exc_msg: + optimiser.minimize_bandwidth(mat) + assert str(exc_msg.value) == "Input matrix is not symmetric" + def random_permute_matrix(mat: np.ndarray) -> np.ndarray: s = mat.shape[0] perm_random = random.sample(list(range(s)), s) @@ -94,7 +83,7 @@ def random_permute_matrix(mat: np.ndarray) -> np.ndarray: tridiagonal_matrix = np.diag(subdiagonal, k=1) + np.diag(subdiagonal, k=-1) shuffled_matrix = random_permute_matrix(tridiagonal_matrix) - optimal_perm = optimiser.minimize_bandwidth(shuffled_matrix) + optimal_perm = optimiser.minimize_bandwidth(shuffled_matrix, samples=10) opt_matrix = optimiser.permute_matrix(shuffled_matrix, optimal_perm) assert np.array_equal(tridiagonal_matrix, opt_matrix) @@ -109,11 +98,56 @@ def random_permute_matrix(mat: np.ndarray) -> np.ndarray: expected_mat[1, 0] = expected_mat[0, 1] = 1 expected_mat[N - 1, N - 2] = expected_mat[N - 2, N - 1] = 1 - optimal_perm = optimiser.minimize_bandwidth(initial_mat) + optimal_perm = optimiser.minimize_bandwidth(initial_mat, samples=10) opt_matrix = optimiser.permute_matrix(initial_mat, optimal_perm) assert np.array_equal(expected_mat, opt_matrix) shuffled_matrix = random_permute_matrix(initial_mat) - optimal_perm = optimiser.minimize_bandwidth(shuffled_matrix) + optimal_perm = optimiser.minimize_bandwidth(shuffled_matrix, samples=10) opt_matrix = optimiser.permute_matrix(shuffled_matrix, optimal_perm) assert np.array_equal(expected_mat, opt_matrix) + + +@pytest.mark.parametrize("N", [10, 20, 30]) +def test_is_symmetric(N: int) -> None: + mat = np.zeros((N, N)) + mat[0, N - 1] = 1.0 + assert not optimiser.is_symmetric(mat) + + assert not optimiser.is_symmetric(np.arange(6).reshape((3, 2))) + assert not optimiser.is_symmetric(np.arange(8).reshape((2, 4))) + + assert optimiser.is_symmetric(mat + mat.T) + + +def test_2rings_1bar() -> None: + # ring with 3 qubits, bar with 1 qubit + input_mat = np.array( + [ + [0.0, 0.3655409, 0.3655409, 0.04386491, 0.08435559, 0.08435559, 0.25], + [0.3655409, 0.0, 0.3655409, 0.02550285, 0.04386491, 0.0391651, 0.08022302], + [0.3655409, 0.3655409, 0.0, 0.02550285, 0.0391651, 0.04386491, 0.08022302], + [0.04386491, 0.02550285, 0.02550285, 0.0, 0.3655409, 0.3655409, 0.12989251], + [0.08435559, 0.04386491, 0.0391651, 0.3655409, 0.0, 0.3655409, 0.40232329], + [0.08435559, 0.0391651, 0.04386491, 0.3655409, 0.3655409, 0.0, 0.40232329], + [0.25, 0.08022302, 0.08022302, 0.12989251, 0.40232329, 0.40232329, 0.0], + ] + ) + + expected_mat = np.array( + [ + [0.0, 0.3655409, 0.3655409, 0.12989251, 0.04386491, 0.02550285, 0.02550285], + [0.3655409, 0.0, 0.3655409, 0.40232329, 0.08435559, 0.0391651, 0.04386491], + [0.3655409, 0.3655409, 0.0, 0.40232329, 0.08435559, 0.04386491, 0.0391651], + [0.12989251, 0.40232329, 0.40232329, 0.0, 0.25, 0.08022302, 0.08022302], + [0.04386491, 0.08435559, 0.08435559, 0.25, 0.0, 0.3655409, 0.3655409], + [0.02550285, 0.0391651, 0.04386491, 0.08022302, 0.3655409, 0.0, 0.3655409], + [0.02550285, 0.04386491, 0.0391651, 0.08022302, 0.3655409, 0.3655409, 0.0], + ] + ) + + optimal_perm = optimiser.minimize_bandwidth(input_mat) + opt_matrix = optimiser.permute_matrix(input_mat, optimal_perm) + exp_bandwidth = optimiser.matrix_bandwidth(expected_mat) + opt_bandwidth = optimiser.matrix_bandwidth(opt_matrix) + assert exp_bandwidth == opt_bandwidth