From 64978881ad824698053bf87d356de62944121a8b Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Mehmet=20Ke=C3=A7eci?= Date: Thu, 20 Mar 2025 02:18:06 +0300 Subject: [PATCH] Update 01_gate_cutting_to_reduce_circuit_width.ipynb --- ...gate_cutting_to_reduce_circuit_width.ipynb | 151 +++++++++++++----- 1 file changed, 114 insertions(+), 37 deletions(-) diff --git a/docs/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb b/docs/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb index e2046fd35..2e0dac838 100644 --- a/docs/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb +++ b/docs/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb @@ -34,18 +34,18 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "id": "96f5b72a", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] }, - "execution_count": 1, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -69,7 +69,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "id": "f75e8dd1", "metadata": {}, "outputs": [], @@ -95,7 +95,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "id": "30326299", "metadata": {}, "outputs": [], @@ -120,7 +120,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "id": "6b54be63", "metadata": {}, "outputs": [ @@ -131,7 +131,7 @@ " 'B': PauliList(['ZZ', 'IZ', 'II', 'XI', 'ZI', 'IX'])}" ] }, - "execution_count": 4, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -142,18 +142,18 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "id": "b7e06fac", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" + "
" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -164,18 +164,18 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "id": "11e45e83", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" + "
" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -205,7 +205,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "id": "3d606ef8", "metadata": {}, "outputs": [ @@ -237,7 +237,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "id": "2029d18e-0e91-4160-b8c9-02cb9e1ba3cb", "metadata": {}, "outputs": [], @@ -261,7 +261,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "36c89aa0-70aa-4615-8198-77ec85e8aa93", "metadata": {}, "outputs": [], @@ -283,7 +283,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "id": "184e0f36-1279-48a3-aab7-b7603bb71f66", "metadata": {}, "outputs": [], @@ -310,19 +310,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "2dbb8148-0482-4a66-8316-335125f8a2b3", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/garrison/Qiskit/qiskit-ibm-runtime/qiskit_ibm_runtime/session.py:157: UserWarning: Session is not supported in local testing mode or when using a simulator.\n", - " warnings.warn(\n" - ] - } - ], + "outputs": [], "source": [ "from qiskit_ibm_runtime import SamplerV2, Batch\n", "\n", @@ -338,7 +329,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "id": "64cef60b-5130-467e-8e01-7460d78560ed", "metadata": {}, "outputs": [], @@ -361,7 +352,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "id": "7d57339c", "metadata": {}, "outputs": [], @@ -389,7 +380,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "id": "e3385ba5", "metadata": {}, "outputs": [ @@ -397,10 +388,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "Reconstructed expectation value: 0.6991539\n", + "Reconstructed expectation value: 0.50397635\n", "Exact expectation value: 0.56254612\n", - "Error in estimation: 0.13660778\n", - "Relative error in estimation: 0.24283836\n" + "Error in estimation: -0.05856978\n", + "Relative error in estimation: -0.10411551\n" ] } ], @@ -416,6 +407,92 @@ " f\"Relative error in estimation: {np.real(np.round((reconstructed_expval-exact_expval) / exact_expval, 8))}\"\n", ")" ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "83d0c361-3f1a-4456-9b61-cf8ee0ab9acf", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Reconstructed expectation value: 0.50397635\n", + "Exact expectation value: 0.56254612\n", + "Error in estimation: -0.05856977\n", + "Relative error in estimation: -0.1041155\n" + ] + }, + { + "data": { + "image/png": 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41e2JVgcmXFLr0QVWaYnc56mlC5uOA9WdUlN/3fDCL2y6AIn2RVJ0sdONRg8KalGd0vZ4gXy4KlWqhD4PX0bkMaR9Jt5+0++pm8KIESNc3Uld9Fu2bOku4qlpiRjrcRGN6iOq7pPqDKaW9rvqSqrVeVItz71GMdo3Ovcij+tox2A0qtOlFpuqQ6Q6feH1tKLdsFLa996xd+aZZyaYT8e5N28sVD+vWbNmKc6nOlgKiNRSX8dIv379Es2j+n1qeamGYN6Da+Q2evVHUzpWj4XqncWyLTp/VYdS9dt0bdBvEu16Fcs1UOeoti2piv/e8ZMW2606ok8//bQLkvVwcLznz/HeU2K9jorqUGrb33jjjVCdPwV5qhuthyiP6rnpIW3BggWJHha1n4+3hfNPMV5TtV0p3YeyAgK7DKYbum5IatqeGrE+1eoJLzXTIysEx+LLL790N/KLLrrIPcUrR0N9sulCGf5k5gkPWpJzww03uCBBraVmzZplw4YNs6eeeso1+lCOQWoltc3xpv3mtYpVrpEq/+vpdfHixe6C6z05avtr1KgRdRnKFdDTe3qI5VjRjUYVzVVxXr+Vcj4UwHzzzTcuaIhFtONCx3m0YzLWBi+x8PavAtGkLvS6IaUF5azpvFDukXLSdYPSNqqhiZeO9DpP04p+X1EOhnI7FAB4FCArZ0XXNTUwUCCooEm5SWpgEW0b40m5zKIcI93sjzU40nYpqNODTTSRD5TH6tVXX3XnmRrvKLjWOnWM6FyLbGyVWsd7T4n1mNR5phxLlbjo2qDcTDUy8VrqajuUa6aHcz0sKqBSEK6cxWeeeSbZYyipbTgScb2I9ZqaHveheCCwiwO1MlJOgZ5OwotNo1GXKDoodRHyclhk69at7qKqz9OS1qXs7/D+rH788Uf3v9dSSzlOunjrIqlWQx7dwI6XgkQVk+ilp95atWq5Fpo6obxtXbNmjStaDqdpabUvwtcT/pSmHDLlrsWSOxArXUz0pKriT7VG1Q1fN0fRzTK5denmoXlSekjQ9mhbInnFZMe63xSQ6qXcmvnz57vOtceOHetyco+1iE1PzNGKeCJzEbSPdPwpuE0u1y5aGrTfVBVCF/+UfkvtG+1f3cTClxVtf0ajluIKHhUIexRUHGuH1N5vpetB+LGpXMhYclBSS7+nihN1DiqY0A1ZwbxHrQ4V7OmmpwcWj86TcN4xrX2Z3D5PzxESli9f7oJPnWsqaVD/aitWrEiUGxTLNVDbo2JZHfPJPbiGb3dy/Vwmtd06fvQ7ex3+eiKrIKRmv2X0PaV9+/auCF8P/Vq2zrvwYtj//ve/rtTn/fffT5A7GN7yNyleLnXk+fRblOtFLNfUWO5DWQF17OKgd+/ervhAFxadTJH0BON1AaBsYInslVxPNl79srT2/PPPh/7WDU3vlSOnpyrvCU4XkvCnIhVRHE8P/1pWZNGUnk6Vu+kV9apeiabpZhNe/Kv6aeqeIa32hU58PTGqmDT8qVTd0yiNab3PdZHTk6yeCkXZ/7oQqUsZ1W+K5HV/odw9Pcnrwuh18RHOS7uOIfWRpwcJj+qW6OFCN6pY6j+GU3Gb6vmEU4Cn9IT/LjrGUxvAaLsVcIZ38fHdd98l6pJAXa1o+7xOWcOF/2bR0qDjV9/XA0q0oDh83dp3yqkK78pHRUWxdh6udUXmbKhD6mPNgdSxqXNRywhf7vGMWpAUBWfKJdK+UlcYOh518w3v6sLLzQlPix6AlJMfTjdG5Y4pnZG/R+TvJWk9EouKMJXzpeuJrq2qO6hrr7quOZZroHJ19Buqy5BIOje89F966aXuIUJBsQL65LY7WtF8tP2r+l/h57J49XNj2W8ZfU9RsKYcMPXVqRxIHQfqYia5bdS+iCWjwAvYVEfOc+TIkUTnZ6zX1FjuQ1kBOXZxoANMTy9t27Z1T0zhI08o50MVc73+tqpXr+6e+HWgesUeukmr3oVu6uGVndOCcuLUz5zWqXpZCppUmVYXdq94QSe+LgLqD0iVUfVEo/6n9ESqp+JjoTqHCm5USV3brJwsPRF/++23odwOXVgV/OiJW/tBT4K6OOtCrQAlqYt0amk79YSpoEHbqGJn5dDoZqX6OWndGaq2S/0W6iaqfa91aigePR2qsre2t1y5cq6Olp5i9dSpYM4bWUHFBdofqniv42nz5s3uGFKdQ9WZUTGI6rhoeSoyVQ6Xjh/duBXchDcQiYXqUqkyufpjU66GbmQaL9cLmMIvpvoNdazowqgLerS6fuHUmETzq/6N+ubTsaVAXvshvP6WjvsOHTq44Fs5D9pnyoVQNQF95lV+TyoNQ4YMcftSf6tRjIJb5f6pCFHze8Xc+kw3dZ2jKirXk7y21buRxpI7r/mVK6R16Ias5as/u2Ph9cWoQEHL1k1aDRN0nnrF+7FQDpRuspHUF5saBOgmq99CuVFef2LKrdPxomNVAab2p27QyjXR9ULHlh74tL2RwayOMS1HVQ9UFKZjWvtSQbzq6HlFpPq9RMvSMRDLyAS6EUfbFvHOVa8+sEZ6UaClonb1D6fcZl1zvGAn1mugzjftD/0OWq4COJ3HOhZ17umapOXqXFVxoh7ide3w+m3Uw4oeEHQeetutwEd1VzWfrn/aV/qNlVun/gx13dU5q/NBx1J4gKLfSdO0DJ2TOsd1T4lWty+j7yne76Drkx6SHn744QSfad/pQVrbq32q7dLwjAqodC1Ljq4L6pNT12sv937q1KmJHjx1/MVyTY3lPpQlxLtZbnb2448/uj6Q1OWEmtKrWfwFF1zg+vEJ7yfq0KFDrp8wNctW/0Xqe0tN98Pn8Zqmq9l8JP3Mkc231Txc09X3VHhTf3UPsXbtWtfVh7orULN6NZcP7/ZDJk6c6JqPq9m7+pFSs/No/SVFW3f4Z17zfDXpV9N49fml/aB06O9ofc5NmzbNdVuidRcrVixw0003BTZu3JhgHm9bIkVLY1LUvYm2Tftc++GOO+5I1FXDsXR3Em1edQGgZvbhTfnVrYj6ezr55JPdtur3VX9h6o8pnLqxUbcn6jJF86mLAO3z8G4S9Juqz6qiRYu6rgbUL11kn4NeFwGR3Zh4x4p+Y/nll19cVwvq00zL0m9wySWXBD799NME31u9enXgoosuct25hHfFkdI+U39R2gadE+rfS132ROvHTl1B6PjVb6R5tf3q027x4sUppkG2bt3q9pPOJ/3GpUuXDjRt2tT1Nxe5f9XHnc4H9TV27733hrq1SKm7Ex0vXbp0cd9Tf5LqbkFp0raEp8XrtiGyK5Fo/XHpXNT1QN21aLsuvvhi16dY5DKPpbsT7/jzurh55513Enx3/fr1gcKFC7s+9Dxff/11oH79+i4t6k9P/f153SxF7p+vvvrKdS3hnePqR8zrd9D7TdXViH5L9ZWW0rmaXHcn3nd1PKiblvAuTLx1qf80pdk7r1NzDRQdK+o+SduubTrvvPPc9v/+++8J5nv//fcDDRs2dPNp/+n8C+9aRn3Rqf80nZ9Kt3esq2uOJ5980r3Xua3rns7baOeDurlSWnQuhF9bo13zjveeklS3REnZuXOnS7/S8f333yf6XPtHx4KuJ7ofqu84dQUV2ZVJtPXqt1I3QVq+19/e7Nmzox5/KV1TU3Mfysxy6J94B5fIHJRLqCKnaFnVAOB3XAPhB9SxAwAA8AkCOwAAAJ8gsAMAAPAJ6tgBAAD4BDl2AAAAPkFgBwAA4BPZroNidWKqThLVSWV6Dl8DAACQFlRrTh0oq2PwlDqVz3aBnYI6DTIMAACQlWzYsMGNjpGcbBfYKafO2zkaRgQAACAz05CKypTyYpjkZLvAzit+VVBHYAcAALKKWKqQ0XgCAADAJwjsAAAAfILADgAAwCeyXR27WB05csQOHToU72QAxy137tyWK1eueCcDAJABCOyi9BWzZcsW27VrV7yTAqSZokWLWunSpem7EQB8jsAughfUlSxZ0vLnz8+NEFn+QeXvv/+2bdu2ufdlypSJd5IAAOmIwC6i+NUL6k4++eR4JwdIEyeeeKL7X8Gdjm2KZQHAv2g8EcarU6ecOsBPvGOaeqMA4G8EdlFQ/Aq/4ZgGgOyBwA4AAMAnCOyQZa1bt87lRC1btswyu86dO1urVq3inQwAgM/ReCJGFfp8mKHrWzfkylQHDi+//HKi6S1atLCZM2daZnHxxRdbjRo1bOTIkanePjVseffdd0PTNCDy5s2brXjx4pZe7r77bvv000/thx9+SPTZ+vXr7fTTT7cZM2ZYy5Yt0y0NAADEihw7H7nssstcoBP+euONN8yv1LpTfbOdcEL6PZ/ceuuttnr1aps/f36iz1566SXXyvSKK65It/UDAJAaBHY+kjdvXhfohL9OOukk99m8efMsT5489uWXX4bmHzp0qAtMtm7dGspN6969u3sVKVLE5YT169fP9YXmOXDggPXq1cvKlStnBQoUsHr16rllh/v666/dstQSU+tXruGff/7pct0+//xze/bZZ10Rql4qTlU3MwqglPulrjnOPvtsN4/n0UcfdbmR7733Xuh7Wme0olgtv27dum5fqM+2Pn362OHDh0OfK1333HOP9e7d24oVK+b2kZafFOUu1qpVyyZNmpRguvaJArtOnTq5NCSX/mgqVKiQKNdS6wpPi3Iou3btaiVKlLDChQtbkyZN7Lvvvgt9rr8vueQSK1SokPu8du3a9r///S/Z9QIA/I3ALptQQHPfffdZhw4dbPfu3bZ06VIXtE2YMMFKlSoVmk8BlHLAFi1a5IKTESNGuHk8CvoWLFhgU6dOteXLl9v111/vcgp/+ukn97mCrKZNm1rVqlXdfF999ZVdffXVLnjT8ho0aGDdunUL5SiqOPXo0aN2yimn2FtvvWXff/+99e/f3x566CF788033TIVSN5www0JciQbNmyYaBs3bdrkcs/OP/98F/SMGTPGJk6caI8//niC+bSNCkoXLlzogttBgwbZ7Nmzk9x3CtqUln379oWmKbD89ddf7ZZbbkkx/cdK+1Z9z3388ce2ePFiF2Bq3+7cudN9ftNNN7n1fvvtt+5zBbEaPgwAkH1Rx85HPvjgAytYsGCCaQow9BIFOApg/vOf/9jKlStdblNk3TAFWs8884zLhVLO04oVK9x7BWOqUzZ58mT3f9myZUNBl+rwafqTTz7pAqU6derYCy+8EFrmOeecE/pbuYbKyVNOWXiR6sCBA0PvlfOloFCBkQI6bZNywpRbGP69SFqn0v/888+79FeuXNl+//13e/DBB12wlTNn8DmmWrVqNmDAAPf3mWee6eafM2eONW/ePOpyb7zxRrv//vtd4KZcR9H2XnjhhXbWWWe598ml/1goIFZwrcBOuY8yfPhwV8fw7bffdr+hfocHHnjAbae3LQCA7I3AzkdULKdcqnAqbgwPql577TUX2Jx22mkuYItUv379BH2eKYft6aefdjluCvL0vxfMeBRweSN1KMdOOU2pNXr0aFfcqWBl//79dvDgQVc0mRpq4KD0hqf/ggsusL1799rGjRvt1FNPddO0/eFUZOsNuZXUOKvXXnutS58Cuz179tg777zj0pyW6Q+nHEelO3IEFC177dq17u+ePXu6otopU6ZYs2bN3H6vWLHiMa8TAJD1Edj5iIoXK1WqlOw8XiMAFefppe/ESoGGctdU7Bc5LJWXU+gNX5UaKtZVzp8CSAVmqjM2bNgwV1SaHiKLKxUIqjg1OSqOVTHozz//bHPnznXb7wWwx5J+5R6G112MHBVC+1oBZ2T9RS/QFNXHU27ihx9+6IprlQuptLRu3TrGPQEgq/SUgMxtXSp7skhPBHbZiHJ6evToYePHj7dp06a5olh15eEVUUpkMPLNN9+4Ij4FMjVr1nQ5dsrdatSoUdR1KDdMxZrhRZPhlGuoZUQ2tlCduTvvvDNBWlP6XqQqVaq4nDQFTF6unZatQEt10Y43N1RFrCqCVWDXrl27UFAcS/ojqUGE6gp6lAuoOnse1afbsmWLq++ohhZJUe6pXvpd27dv79JHYAcA2ReNJ3xERaIKBsJfO3bscJ8pKLr55ptdC9UuXbq4AECNH5TLFE5FiSriW7NmjesqZdSoUXbvvfe6zxRAqMJ+x44dbfr06S4QUT2wwYMHu1wj6du3r6vMryBHy1dXISoe9tKhIEXBo1q0appyyhQ4qjXnJ598Yj/++KNr1KFlhNP3tDylS9+LNuap1rlhwwbX95zWq1a0ysXS9oQHr8dCgaIaSmhbVH9OOXieWNIfSS1cVYSqVsoq4laQHZ4LqqJV5f6pU+NZs2a5/aXc1ocfftitS0WyasiiHL3ffvvNBZdap4JbAED2RWDnI2rEoOK78Jcq+MsTTzzhAoAXX3zRvddn48aNs0ceeSRBFxoK2hQ0qMuQu+66ywV1qqjvUUCoedSYQI0rFHgooPDqryn4UyCiZWoZCk4UYHl9zanIUgGMWs0q10qB5G233ebqsLVt29Z1n/LHH38kyP0SNd7Q+tQwQ99TIBNJXbB89NFHLtisXr263X777S4A0zamBdWvU4tiNQZROj2xpD+SAuDGjRvbVVddZVdeeaXbj+H14xRIalsuuugiF4hrvyqXUL+hWjFrH2o9+i30mRppXH755UnmlAIAsoccgciKPj6nIi/10aYbtPr+CvfPP/+4XCgVueXLl8+ym2MdFQKZX3Y/toG0Rh07ZGQdu+Ril0jk2AEAAPgEgR0AAIBP0CoWIdG61gAAAFkHOXYAAAA+QWAHAADgEwR2UaQ0CgGQ1XBMA0D2QB27iNEN1JGtBo5XX2l6Hz7uKJDVqDcjjVu7fft2d2zrmAYA+BeBXRjd+NTPl4Z6UnAH+EX+/PldJ9LHOwIHACBzI7CLoBwN3QAPHz6c4tikcdG0qRJpljfvv9OGDtWQD/FMldm6dRpOwezPP80KFjQbPFhjbUWf9+23zcaPV/mgWf36Zv37m+XObbZokYaYMDv99H/nnTrVTB3qal5t55dfmmnoraJFzR57zOy008w2bTJr3jzhPnjuOTONhvHVV2bDh/87fedOs+LFzaZPD77XqBta/4EDZqVKBdeh/31Eo1Ro5A9ynwHA/wjsotANMHfu3O6V6SiIefddsxo1kp/v8GGz/x/GK+r75Hj1sVKTu6MhtDp21LhbwcDtllvMoo2XqoHue/c2W7IkGEBdc43ZK6+Y3XVXcL0nnqix0RJ/T9v88cfBQE2/y+OPm/XrZ/bmm8FATwFbtO81axZ8ea66yuySS/4NFm+6KRhkapoCwF69zN56K/btBgAgE6Fcxk+UIzNggNn55wdzzxRkKcC66CKzc88NzjNsmNk555idd14wqNm9Ozj90UfN2rQxa9EiOO/mzbGvd9s2s//9z+zmm4PvtZwNG8x+/jnxvAr6WrY0K106mN7bbzd7443Ytk25av/8o4pjGl/F7JRTLFVUvD5njlmHDsH3ixcHg10FdXLbbWb//W9wHQAAZEEEdllR27bBHDvvtX//v58p90o5ZQrgvODlww/NVq8O5nhNmmT29ddmK1aYFShg1qfPv99dsCCYe/b992blypldcUUwYEuJgrgyZf7NEVQQpmLQ9esTz6tpKj71VKiQcL61a81q1QoGpy+88O/0q6/WYLbBgFDrUoA2aNC/n+/bF/yOvqvp0YrRX3opuE0lS0ZPS6FCZhqDj/qVAIAsiqLYrGjatKSLYpVDF+7664MBi3z6aTAoVP00ueOO4OceBT3h9cs++sgylIKyjRvNihQJ/q/0qD7cDTcEA8yVK4NF0Qq+FJAqt+/VV4OBnqYrYFORrLbx6aeDRb4e5fIpqFXdOwAAfIocO79Rw4Xk3oeLrEyf3LzhlKvn5RZOnmxWvnyw6Fb1+LwgSrlhyrWLpGm//Zaw0YU3nwI2BXWiYtb27YONJbx1NmkSDEpV969TJ7O5c4OfqSGJlwtXrFgwuPW+5/n882ARq4qak0rLX38Fi6bLlo1tPwAAkMkQ2GUnakSgxgaqnyYvvmh26aWpX44aSSxbFnx16RIMqpTbptwzeeedYGBWqVLi76r+3fvvm23ZEgwAx441a9cu+JmCQ6/hhoKsDz4wq1kz+P6MM8w++8zs4MHge33m1RtUHb9Dh4J/qx6eWrx63/NMnBisc6iiak/t2sHveQGi9oeKfNWwAgCALIii2KxIRY1qPep55pl/GwAk5/LLg8WZDRoEc72qVUtYjy2SikJVX61OnZSXraBIgdOTTwZz3pST5+naNdhgQi8FaAMHml1wQfAz1ZtTowUvIBwzJlhXT7l/KiZW4ChqNfvDD2bVqwdbxaqunYJCUUtZdVmioE3fU87eww//u37lwinYU73CcNoHCka1fuXmKaduypSUtxUAgEwqR0Bd02cje/bssSJFitju3butsAIQAABSqUKfD+OdBGQi64ZcmWliF4piAQAAfILADgAAwCcI7AAAAHyCwC7e1EHv2WcHuw7R/0OGxP49tUpNiUaUKFEiYYfGTzxhcafWr3ffbVaxYrD17PPPJz3vPfcEt1fds0Ru808/mTVsGBwnVh0Ur1qV+PtqyKHvalgyjxp5aH+rAUX49JQ+U5VU7VOtT6N3xNJoBQCADEKr2MzU4bA62a1aNdiqs27dtFu+hg4bOTL5eaKNJZua8WVTM6+oNapGuPjxx2CrVXVPoiBJw51Fuu66YGfDF16Y+DO1aP3Pf/4do1b/h49Rq37yNBZs/fqJu35RNyuRHTqn9Jk6OF6+PNi6OE+eYLctAABkEuTYZSYaxqty5X87zVXQoFEXFOQpd+iRR9J2fZFjyc6bFwysbr01GGjOmBEc8UE5YuoaRenQcGRewKTOgh98MNiHXXI5bkkFs926BbsoUafC6sIlqTFjlb5o48KmNEatcgXV1cqoUcFOjMNpW9T1SjTJfaah2pSrqqBO1O0KAACZBIFdZqLxXP/4I9i3m2h0BfXftmiR2dKlwSDmrbdSv9zXXktYFKugyhM+lqyorzivA+JrrjG79lqzAQOCuVQjRgSDp717g/Mqp02B4JIlZvfdF+xXTv3JxSKlMWNjkdIYtUqv+stTR8RpQR07b91q9t57ZvXqBV/h+xIAgDijKDYzUG6V6nOtWRPsbFh14jSovQa6VyDhUUCledKyKDZ8LFlRTlXjxsG/tS6lyxuGS0WhGktWQZ9y0NRRsJdbJhq7NbNQUak6PP7ii7Rbpoqb9dq/32zhwmCupXIzlcuqjpMBAIgzArvMVMfu00+DQ1qpjt3ppwc/++ab9B3iKjVjy0aOL5s/fzDwS8muXf/mQmq7VMTrjdOqUTAix4yNVfgYtcq1Cx+jdvbs4DLPPPPfYm3VxdP8d9xhx0RFxto/XjCrXEblCKpOH4EdACAToCg2M1GlfQUdqkunAEKNCcJbyf7+u9nGjRmXHrUMVT01BUkyf34wQFIQmhqqi+eNLaugzsspVKOGI0fMdu4MBrfKuUyN5Mao1X5UEKfgTi81nhg37tiDOk/79mYzZwb/VrpVTK76hwAAZAIEdplNv37BsU9V901149QQQA0b1HhC9d1UBy9SSnXbIuvY9egRW1rUQEBjrKqOnYIX1aNTy9OkcvVSU8euQ4dgEaZy1NRNSc+ewW2U998PNnoIb/mqgE1BrYqFFbiFj1Grl7ofURAcPkZtch5/PLjMBQuC69Lf27en/NngwcHATr+JGnWo8UhatmAGAOA4MFYsAACpxFixCMdYsQAAAEhzBHYAAAA+QWAHAADgEwR2AAAAPpEpArvRo0dbhQoVLF++fFavXj1bpC4kkvDSSy9Zjhw5Erz0PQAAgOwu7oHdtGnTrGfPnjZgwABbsmSJVa9e3Vq0aGHbNA5oEtQiZPPmzaHXb97YqgAAANlY3EeeGDFihHXr1s26dOni3o8dO9Y+/PBDmzRpkvXp0yfqd5RLVzoLDL5Oc3hkVFN4AADinmN38OBBW7x4sTXTiAv/L2fOnO79AnUOm4S9e/faaaedZuXLl7drrrnGVq1aleS8Bw4ccP2/hL8AAAD8KK6B3Y4dO+zIkSNWSgPLh9H7LRq6Koqzzz7b5ea999579uqrr9rRo0etYcOGtjGJobYGDx7sOvXzXgoGAQAA/CjudexSq0GDBtaxY0erUaOGNW7c2KZPn24lSpSwFzWsVBR9+/Z1PTV7rw0bNmR4mgEAAHxfx6548eKWK1cu27p1a4Lpeh9rHbrcuXNbzZo17WeNqRpF3rx53QsAAMDv4ppjlydPHqtdu7bNmTMnNE1Fq3qvnLlYqCh3xYoVVqZMmXRMKQAAQOYX91ax6uqkU6dOVqdOHatbt66NHDnS9u3bF2olq2LXcuXKubpyMmjQIKtfv75VqlTJdu3aZcOGDXPdnXTt2jXOWwIAAJDNA7u2bdva9u3brX///q7BhOrOzZw5M9SgYv369a6lrOfPP/903aNo3pNOOsnl+M2fP9+qVq0ax60AAACIvxyBQCBg2Yi6O1HrWDWkUEfH6Yl+7OChHzvAX7i+IyOv8amJXbJcq1gAAABER2AHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPkFgBwAA4BMEdgAAAD5BYAcAAOATBHYAAAA+QWAHAADgEwR2AAAAPpEpArvRo0dbhQoVLF++fFavXj1btGhRTN+bOnWq5ciRw1q1apXuaQQAAMjs4h7YTZs2zXr27GkDBgywJUuWWPXq1a1Fixa2bdu2ZL+3bt0669WrlzVq1CjD0goAAJCZxT2wGzFihHXr1s26dOliVatWtbFjx1r+/Plt0qRJSX7nyJEjdtNNN9nAgQPtjDPOyND0AgAAZFZxDewOHjxoixcvtmbNmv2boJw53fsFCxYk+b1BgwZZyZIl7dZbb82glAIAAGR+J8Rz5Tt27HC5b6VKlUowXe9Xr14d9TtfffWVTZw40ZYtWxbTOg4cOOBenj179hxnqgEAADKnuBfFpsZff/1lHTp0sPHjx1vx4sVj+s7gwYOtSJEioVf58uXTPZ0AAADZLsdOwVmuXLls69atCabrfenSpRPNv3btWtdo4uqrrw5NO3r0qPv/hBNOsDVr1ljFihUTfKdv376ucUZ4jh3BHQAA8KO4BnZ58uSx2rVr25w5c0JdlihQ0/vu3bsnmr9y5cq2YsWKBNMeeeQRl5P37LPPRg3Y8ubN614AAAB+F9fATpSb1qlTJ6tTp47VrVvXRo4cafv27XOtZKVjx45Wrlw5V6Sqfu7OPffcBN8vWrSo+z9yOgAAQHYT98Cubdu2tn37duvfv79t2bLFatSoYTNnzgw1qFi/fr1rKQsAAIBMHtiJil2jFb3KvHnzkv3uSy+9lE6pAgAAyFrICgMAAPAJAjsAAACfILADAADwCQI7AACA7BzY7dq1yyZMmOA6/925c6ebtmTJEtu0aVNapw8AAADp1Sp2+fLl1qxZMzc8l0aB6NatmxUrVsymT5/uuiZ55ZVXUrtIAAAAxCPHTh0Kd+7c2X766SfXYbDniiuusC+++CIt0gQAAICMCOy+/fZbu+222xJN1+gQ6mAYAAAAWSSw07ire/bsSTT9xx9/tBIlSqRVugAAAJDegV3Lli1t0KBBdujQIfc+R44crm7dgw8+aG3atEnt4gAAABCvwO7pp5+2vXv3WsmSJW3//v3WuHFjq1SpkhUqVMieeOKJtEoXAAAA0rtVrFrDzp4927766ivXQlZBXq1atVxLWQAAAGShwM5z4YUXuhcAAACyaGCn+nXJ6d+///GkBwAAABkV2M2YMSPBezWi+PXXX+2EE06wihUrEtgBAABklcBu6dKliaap+xN1Wty6deu0ShcAAAAyYqzYSIULF7aBAwdav3790mJxAAAAiFdgJ7t373YvAAAAZJGi2Oeeey7B+0AgYJs3b7YpU6bY5ZdfnpZpAwAAQHoGds8880yC9zlz5nRDiXXq1Mn69u2b2sUBAAAgXoGdWsACAADAx3XsAAAAkAVy7K699tqYFzh9+vTjSQ8AAADSM7DT+LAAAADwQWA3efLk9E8JAAAAjgt17AAAALJrq1h5++237c0337T169fbwYMHE3y2ZMmStEobAAAA0jPHTh0Ud+nSxUqVKuXGja1bt66dfPLJ9ssvv9BBMQAAQFYK7F544QUbN26cjRo1yvLkyWO9e/e22bNn2z333MOQYgAAAFkpsFPxa8OGDd3fJ554ov3111/u7w4dOtgbb7yR9ikEAABA+gR2pUuXtp07d7q/Tz31VPvmm29CI1Jo3FgAAABkkcCuSZMm9v7777u/VdeuR48e1rx5c2vbtq21bt06PdIIAACAtGwV+8EHH9gVV1zh6tcdPXrUTbvrrrtcw4n58+dby5Yt7bbbbot1cQAAAIhXYNeqVSvXErZz5852yy23WMWKFd30du3auRcAAACySFGs6tApR27q1Kl21llnWePGjW3KlCm2f//+9E0hAAAA0jawK1++vPXv39/Wrl1rn376qVWoUMHuuOMOK1OmjN1+++327bffxrooAAAAZJYhxS655BJ7+eWXbfPmzTZs2DBbsWKF1a9f36pXr572KQQAAED6DSnmKVSokDVt2tR+++03W716tX3//ffHszgAAABkdI6d6tW98sordvHFF9uZZ57p6t317NnT1q1bdzxpAQAAQEbl2Kkz4kmTJtmbb75pBw8etGuvvdbVt1PRLAAAALJIYFe1alVbs2aN1axZ0wYPHmw33nijFSlSJH1TBwAAgLQP7Jo1a+bGgqWBBAAAQBYP7J577rn0TQkAAAAyvvEEAAAAMh8COwAAAJ8gsAMAAPAJAjsAAIDsPPLEnDlz3Gvbtm129OjRBJ+pnzsAAABkgcBu4MCBNmjQIKtTp46VKVPGcuTIkT4pAwAAQPoGdmPHjrWXXnrJOnTokNqvAgAAIDPVsdNQYg0bNkyf1AAAACDjAruuXbva66+/fuxrBAAAQOYoiv3nn39s3Lhx9umnn1q1atUsd+7cCT4fMWJEWqYPAAAA6RXYLV++3GrUqOH+XrlyZYLPaEgBAACQhQK7uXPnpk9KAAAAEL8Oijdu3OheAAAAyIKBnTokVj92RYoUsdNOO829ihYtao899liizooBAACQiYtiH374YZs4caINGTLELrjgAjftq6++skcffdQ1rHjiiSfSI50AAABI6xy7l19+2SZMmGB33HGHaxWr15133mnjx493HRcfi9GjR1uFChUsX758Vq9ePVu0aFGS806fPt2NeqFcwgIFCriGHFOmTDmm9QIAAGTrwG7nzp1WuXLlRNM1TZ+l1rRp06xnz542YMAAW7JkiVWvXt1atGjhxqGNplixYi7XcMGCBa6FbpcuXdzrk08+SfW6AQAAsnVgp8Dr+eefTzRd0/RZaqnfu27durngrGrVqm7Isvz589ukSZOizn/xxRdb69atrUqVKlaxYkW79957Xa6hioMBAACys1TXsRs6dKhdeeWVroPiBg0auGnKPduwYYN99NFHqR6ebPHixda3b9/QtJw5c1qzZs3cMlMSCATss88+szVr1thTTz0VdZ4DBw64l2fPnj2pSiMAAIBvc+waN25sP/74o8s127Vrl3tde+21Lrhq1KhRqpa1Y8cOO3LkiJUqVSrBdL3fsmVLkt/bvXu3FSxY0PLkyeOCzFGjRlnz5s2jzjt48GDXgtd7lS9fPlVpBAAA8G2OnZQtWzaurV8LFSpky5Yts71799qcOXNcHb0zzjjDFdNGUm6gPg/PsSO4AwAA2TawUyOFc8891xWT6u/kqL5brIoXL265cuWyrVu3Jpiu96VLl07ye0pHpUqV3N9qFfvDDz+4nLlogV3evHndCwAAwO9iCuwUPKlotGTJku5vjQmr+m2RNF1Fq7FSUWrt2rVdrlurVq3cNHVyrPfdu3ePeTn6Tng9OgAAgOwopsDu119/tRIlSoT+TksqJu3UqZPrm65u3bo2cuRI27dvn2slKx07drRy5cq5HDnR/5pXLWIVzKnBhvqxGzNmTJqmCwAAwJeBnYYN8/z222/WsGFDO+GEhF89fPiwzZ8/P8G8sWjbtq1t377d+vfv73IFlSM4c+bMUIOK9evXu6JXj4I+dYisMWpPPPFE13/eq6++6pYDAACQneUIRCtTTYbqxG3evNkVy4b7448/3LTUFMXGgxpPqHWsWtYWLlw4XddVoc+H6bp8ZB3rhlwZ7yQASENc35GR1/jUxC6p7u5EcaDq0kVSYKchvgAAAJDJuztRX3WioK5z584JWpoql06tZVVECwAAgEwe2CkL0MuxUz9yqt8W3rq1fv36bmgwAAAAZPLAbvLkye7/ChUqWK9evSh2BQAAyOojTwwYMCB9UgIAAICMH1Ls7bfftjfffNN1RXLw4MEEny1ZsuT4UgQAAIBjkupWsc8995zrPFj9zC1dutR1KnzyySfbL7/8YpdffvmxpQIAAAAZH9i98MILNm7cOBs1apRrNNG7d2+bPXu23XPPPa5/FQAAAGSRwE7Fr163JmoZ+9dff7m/O3ToYG+88UbapxAAAADpE9iVLl3adu7c6f4+9dRT7ZtvvgmNIZvKQSwAAAAQz8CuSZMm9v7777u/VdeuR48e1rx5czdWa+vWrdMybQAAAEjPVrGqX3f06FH391133eUaTsyfP99atmxpt912W2oXBwAAgHgFdhs3brTy5cuH3rdr1869VAy7YcMGVzwLAACALFAUe/rpp9v27dsTTVe9O30GAACALBLYKWcuR44ciabv3bvX8uXLl1bpAgAAQHoVxfbs2dP9r6CuX79+lj9//tBnR44csYULF1qNGjVSu34AAABkdGCnUSa8HLsVK1a4zok9+rt69erWq1evtEoXAAAA0iuwmzt3bqiLk2effdYKFy6c2nUBAAAgM9WxGzlypB0+fDhq44k9e/akVboAAACQ3oGdujaZOnVqoulvvvmm+wwAAABZJLBTI4lLLrkk0fSLL77YfQYAAIAsEtgdOHAgalHsoUOHbP/+/WmVLgAAAKR3YFe3bl03rFiksWPHWu3atVO7OAAAAMRrSLHHH3/cmjVrZt999501bdrUTZszZ459++23NmvWrLRKFwAAANI7x+6CCy6wBQsW2CmnnOIaTPz3v/+1SpUq2fLly61Ro0apXRwAAADilWMnGmHi9ddfT6s0AAAAIB45drJ27Vp75JFH7MYbb7Rt27a5aR9//LGtWrUqLdIEAACAjAjsPv/8czvvvPNc1ybvvPOO7d27101XnbsBAwYcSxoAAAAQj8CuT58+rgHF7NmzE4wX26RJE/vmm2/SIk0AAADIiMBuxYoV1rp160TTS5YsaTt27DiWNAAAACAegV3RokVt8+bNiaYvXbrUypUrlxZpAgAAQEaNFfvggw/ali1bLEeOHHb06FH7+uuvrVevXtaxY8djSQMAAADiEdg9+eSTVrlyZStfvrxrOFG1alW76KKLrGHDhq6lLAAAALJIP3ZqMDF+/Hjr16+frVy50gV3NWvWtDPPPDN9UggAAID066BYTj31VJdrJyqSBQAAQBbsoHjixIl27rnnWr58+dxLf0+YMCHtUwcAAID0y7Hr37+/jRgxwu6++25r0KCBm6axY3v06GHr16+3QYMGpXaRAAAAiEdgN2bMGFfHrn379qFpLVu2tGrVqrlgj8AOAAAgixTFHjp0yOrUqZNoeu3ate3w4cNplS4AAACkd2DXoUMHl2sXady4cXbTTTeldnEAAACIZ6tYNZ6YNWuW1a9f371fuHChq1+nDop79uwZmk918QAAAJBJAzv1XVerVi3399q1a93/xYsXdy995qELFAAAgEwe2M2dOzd9UgIAAICMrWO3ffv2JD9bsWLF8aUGAAAAGRfYnXfeefbhhx8mmj58+HCrW7fusacEAAAAGRvYqXFEmzZt7I477rD9+/fbpk2brGnTpjZ06FB7/fXXjy81AAAAyLjArnfv3m6kiS+//NJ1SqxX3rx5bfny5da6detjTwkAAAAyfqzYSpUqufFh161bZ3v27LG2bdta6dKljy8lAAAAyNjA7uuvv3a5dD/99JPLpVNnxRpKTMHdn3/+eXypAQAAQMYFdk2aNHFB3DfffGNVqlSxrl272tKlS10HxWpYAQAAgCzSj51GnGjcuHGCaRUrVnQ5eU888URapg0AAADpmWMXGdSFFpQzp/Xr1y+1iwMAAEBGB3ZXXHGF7d69O/R+yJAhtmvXrtD7P/74w6pWrZpW6QIAAEB6BXaffPKJHThwIPT+ySeftJ07d4beHz582NasWZPa9QMAACCjA7tAIJDsewAAAGTBfuwAAACQhQO7HDlyuFfkNAAAAGSx7k5U9Nq5c2c3fJj8888/dvvtt1uBAgXc+/D6d6k1evRoGzZsmG3ZssWqV69uo0aNsrp160add/z48fbKK6/YypUr3fvatWu7+n5JzQ8AAJBdxJxj16lTJytZsqQVKVLEvW6++WYrW7Zs6L0+69ixY6oTMG3aNOvZs6cNGDDAlixZ4gK7Fi1a2LZt26LOP2/ePGvfvr3NnTvXjVlbvnx5u/TSS23Tpk2pXjcAAICf5AjEuRVEvXr17Pzzz7fnn3/evT969KgL1jRMWZ8+fVL8/pEjR+ykk05y348lsNTYtgpE1XVL4cKFLT1V6PNhui4fWce6IVfGOwkA0hDXd2TkNT41sUtcG08cPHjQFi9ebM2aNfs3QTlzuvfKjYvF33//bYcOHbJixYqlY0oBAAB8OKRYWtqxY4fLcStVqlSC6Xq/evXqmJbx4IMPuiLh8OAwnOr+hdf/U9QLAADgR1m6uxONfjF16lSbMWOG5cuXL+o8gwcPDtUD1EvFvAAAAH4U18CuePHilitXLtu6dWuC6XpfunTpZL87fPhwF9jNmjXLqlWrluR8ffv2dWXS3mvDhg1pln4AAIDMJK6BXZ48eVx3JXPmzAlNU+MJvW/QoEGS3xs6dKg99thjNnPmTKtTp06y61D3LKpoGP4CAADwo7jWsRN1daKuVBSgqS+6kSNH2r59+6xLly7uc7V0LVeunCtSlaeeesr69+9vr7/+ulWoUMH1fScFCxZ0LwAAgOwq7oFd27Ztbfv27S5YU5BWo0YNlxPnNahYv369aynrGTNmjGtNe9111yVYjvrBe/TRRzM8/QAAAJlF3AM76d69u3sl1SFxuHXr1mVQqgAAALKWLN0qFgAAAP8isAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfiHtgN3r0aKtQoYLly5fP6tWrZ4sWLUpy3lWrVlmbNm3c/Dly5LCRI0dmaFoBAAAys7gGdtOmTbOePXvagAEDbMmSJVa9enVr0aKFbdu2Ler8f//9t51xxhk2ZMgQK126dIanFwAAIDOLa2A3YsQI69atm3Xp0sWqVq1qY8eOtfz589ukSZOizn/++efbsGHDrF27dpY3b94MTy8AAEBmFrfA7uDBg7Z48WJr1qzZv4nJmdO9X7BgQbySBQAAkGWdEK8V79ixw44cOWKlSpVKMF3vV69enWbrOXDggHt59uzZk2bLBgAAyEzi3ngivQ0ePNiKFCkSepUvXz7eSQIAAPBXYFe8eHHLlSuXbd26NcF0vU/LhhF9+/a13bt3h14bNmxIs2UDAABkJnEL7PLkyWO1a9e2OXPmhKYdPXrUvW/QoEGarUeNLAoXLpzgBQAA4Edxq2Mn6uqkU6dOVqdOHatbt67rl27fvn2ulax07NjRypUr54pTvQYX33//fejvTZs22bJly6xgwYJWqVKleG4KAABA9g7s2rZta9u3b7f+/fvbli1brEaNGjZz5sxQg4r169e7lrKe33//3WrWrBl6P3z4cPdq3LixzZs3Ly7bAAAAkFnENbCT7t27u1c0kcGaRpwIBAIZlDIAAICsxfetYgEAALILAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAnyCwAwAA8AkCOwAAAJ8gsAMAAPAJAjsAAACfILADAADwCQI7AAAAn8gUgd3o0aOtQoUKli9fPqtXr54tWrQo2fnfeustq1y5spv/vPPOs48++ijD0goAAJBZxT2wmzZtmvXs2dMGDBhgS5YsserVq1uLFi1s27ZtUeefP3++tW/f3m699VZbunSptWrVyr1WrlyZ4WkHAADITOIe2I0YMcK6detmXbp0sapVq9rYsWMtf/78NmnSpKjzP/vss3bZZZfZAw88YFWqVLHHHnvMatWqZc8//3yGpx0AACAzOSGeKz948KAtXrzY+vbtG5qWM2dOa9asmS1YsCDqdzRdOXzhlMP37rvvRp3/wIED7uXZvXu3+3/Pnj2W3o4e+Dvd14GsISOONwAZh+s7MvIa7y0/EAhk7sBux44dduTIEStVqlSC6Xq/evXqqN/ZsmVL1Pk1PZrBgwfbwIEDE00vX778caUdSI0iI+OdAgBAVr/G//XXX1akSJHMG9hlBOUGhufwHT161Hbu3Gknn3yy5ciRI65pyw70lKEgesOGDVa4cOF4JwcAkEa4vmcc5dQpqCtbtmyK88Y1sCtevLjlypXLtm7dmmC63pcuXTrqdzQ9NfPnzZvXvcIVLVr0uNOO1NFJz4kPAP7D9T1jpJRTlykaT+TJk8dq165tc+bMSZCjpvcNGjSI+h1ND59fZs+eneT8AAAA2UXci2JVTNqpUyerU6eO1a1b10aOHGn79u1zrWSlY8eOVq5cOVdXTu69915r3LixPf3003bllVfa1KlT7X//+5+NGzcuzlsCAACQzQO7tm3b2vbt261///6uAUSNGjVs5syZoQYS69evdy1lPQ0bNrTXX3/dHnnkEXvooYfszDPPdC1izz333DhuBZKiYnD1URhZHA4AyNq4vmdOOQKxtJ0FAABAphf3DooBAACQNgjsAAAAfILADgAAwCcI7IAkdO7c2Vq1ahXvZAAAEDMCuywQXGiEDL1y585tp59+uvXu3dv++ecfywrmzZvn0r5r164MWR/BGACk7t4S/rrssssyZP2PPvqo6wUDPuzuBCnTiTZ58mQ7dOiQLV682PX7pxPwqaeeMr84ePCg67AaAJCx95ZwdF2S9ZFjlwXoRNOQaRqTT7lRzZo1c6NteCN1qPNm5eSdeOKJVr16dXv77bcTfH/VqlV21VVXuSFfChUqZI0aNbK1a9eGvj9o0CA75ZRT3Hq8fgQ969atc0Hk9OnT7ZJLLrH8+fO7dSxYsCA0z2+//WZXX321nXTSSVagQAE755xz7KOPPnLf1XdEn2k5ekqUiy++2Lp372733XefG1quRYsWoXUtW7YstGzl9Gmacv5S2h49Ab788sv23nvvhZ4+ve9pLMMbbrjBDSdXrFgxu+aaa9z6PEeOHHGdZetzjSOsXFF6AgKQHe4t4S9dq3Xd1IP2l19+GZp36NChVrJkydCQnrpPXHjhhaFrpq7J3n3Fs3HjRmvfvr275ureoIEIFi5caC+99JINHDjQvvvuu9C1WtOQNgjsspiVK1fa/PnzQ7lbCupeeeUVGzt2rAt4evToYTfffLN9/vnn7vNNmzbZRRdd5E7gzz77zOX43XLLLXb48GH3+bPPPutG8Rg+fLgtX77cBVgtW7a0n376KcF6H374YevVq5cLus466yx3snrLuOuuu+zAgQP2xRdf2IoVK1xOYsGCBV0g+s4777h51qxZY5s3b3br8ygI03Z8/fXXLv2xSG57lD4Fb3oK1br0UofWyunUdikI1IVK61P6NJ9yCkX7QBeWSZMm2VdffWU7d+60GTNmpMlvBgBZiR689dDdoUMH2717ty1dutT69etnEyZMCA0eoBGi9DCskZ80zKcGEmjdurXLLJC9e/e6UaJ0zX7//fddEKcHZn2ugQnuv/9+lwngXas1DWlEHRQj8+rUqVMgV65cgQIFCgTy5s2rLKRAzpw5A2+//Xbgn3/+CeTPnz8wf/78BN+59dZbA+3bt3d/9+3bN3D66acHDh48GHX5ZcuWDTzxxBMJpp1//vmBO++80/3966+/unVOmDAh9PmqVavctB9++MG9P++88wKPPvpo1OXPnTvXzfvnn38mmN64ceNAzZo1E0zz1rV06dLQNH1P07ScWLZH++uaa65JMG3KlCmBs88+O3D06NHQtAMHDgROPPHEwCeffOLelylTJjB06NDQ54cOHQqccsopiZYFAH67t4S/vPuBrpE1atQI3HDDDYGqVasGunXrluzytm/f7q7VK1ascO9ffPHFQKFChQJ//PFH1PkHDBgQqF69ejpsGahjlwWoOHPMmDHuCemZZ56xE044wdq0aeNy6P7++29r3rx5gvmVC1WzZk33t3LYVFSphheR9uzZY7///rtdcMEFCabrvZ6uwlWrVi30d5kyZdz/27Zts8qVK9s999xjd9xxh82aNcsVEytt4fMnpXbt2qncE8lvT1K0LT///LPLsQunBigqOtATqZ4Y69WrF/pM+1jFBhTHAvD7vSWcik1FpSmvvfaau5afdtpp7t4TTqU6GgpURas7duwI5dRpGFAN8alrte5D3vKQcQjssgDVTahUqZL7W0WFquM2ceLE0Pi4H374oZUrVy5qBVjVu0sL4YGU6kOIdyJ37drVFXUqHQruVDysos277747xe0K540JHB5MqRg13LFsj4oEFETqIhWpRIkSqV4eAPjt3hKNqv2IqqboFX7NVr1qBXzjx4+3smXLuvuB7kle9Za0uvcg9ahjl8Uo+HnooYfskUcesapVq7oATk9IOjnDX6rfJnraUr2yyABJ1PhAJ6TqnIXTey07NbS+22+/3TWyUN0Jnezi1QVU44SUeEGWcs884Q0pUtoeb32R66pVq5Z7ulTF38j9VKRIEfdSLqSePD2qs6f6ewCQHak0Q3W2dS1XaYZ6Y/Ae5v/44w9Xb1r3oaZNm1qVKlXszz//THSt1vVbAWGs12qkDQK7LOj666+3XLly2YsvvugaDOjkU0MEnYhLliyxUaNGufeilqcqcm3Xrp2r5KoAZ8qUKe6klAceeMA1dpg2bZqb1qdPH3cy3nvvvTGnR5VsP/nkE/v111/d+ufOnetOdNETnXL4PvjgA9u+fbvLPUuKnvDq169vQ4YMsR9++ME1ANGFI1xK21OhQgXXCETvVTygAPCmm25yLW/VElZBodKpVl8qQlarLdH2ar3vvvuurV692u68884M63sPAOJBjd62bNmS4KXrpgIuNcJTSUyXLl1clyi6rqokRtRyVi1hx40b56q5qCGbGlKEUwM7tbJVTw7KLPjll19cYzqvRwVdq3Ut1v1G61RakEbiXckPyYvWGEAGDx4cKFGiRGDv3r2BkSNHusYBuXPndtNatGgR+Pzzz0Pzfvfdd4FLL73UNbRQZdZGjRoF1q5d6z47cuSIa/hQrlw5931VZv34449T1aChe/fugYoVK7rGHVp/hw4dAjt27AjNP2jQoEDp0qUDOXLkcNvjNZ649957E23X999/H2jQoIFr2KCKu7NmzUqwrpS2Z9u2bYHmzZsHChYsmOB7mzdvDnTs2DFQvHhxl84zzjjDVQbevXt3qLGE0lO4cOFA0aJFAz179nTz03gCgB/pWqxrZORL95KBAwe6BmXh1/F33nknkCdPnsCyZcvc+9mzZweqVKnirqfVqlULzJs3z31/xowZoe+sW7cu0KZNG3dd1fW6Tp06gYULF7rP1PhPn+l6q+9Nnjw5DnvBn3Lon7QKEgEAABA/FMUCAAD4BIEdAACATxDYAQAA+ASBHQAAgE8Q2AEAAPgEgR0AAIBPENgBAAD4BIEdAACATxDYAQAA+ASBHQAAgE8Q2AEAAPgEgR0AAID5w/8Bs04wdnrLl10AAAAASUVORK5CYII=", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from qiskit_aer.primitives import EstimatorV2\n", + "\n", + "# Generate an Estimator object\n", + "estimator = EstimatorV2()\n", + "\n", + "# Calculate the exact expectation value\n", + "exact_expval = estimator.run([(qc, observable)]).result()[0].data.evs\n", + "\n", + "# Reconstructed expectation value (e.g., calculated using a model or another method)\n", + "# reconstructed_expval should be defined here\n", + "reconstructed_expval = np.real(np.round(reconstructed_expval, 8))\n", + "\n", + "# Calculate error and relative error\n", + "error = reconstructed_expval - exact_expval\n", + "relative_error = error / exact_expval\n", + "\n", + "# Print the results\n", + "print(f\"Reconstructed expectation value: {reconstructed_expval}\")\n", + "print(f\"Exact expectation value: {np.round(exact_expval, 8)}\")\n", + "print(f\"Error in estimation: {np.real(np.round(error, 8))}\")\n", + "print(f\"Relative error in estimation: {np.real(np.round(relative_error, 8))}\")\n", + "\n", + "# Plotting the graph\n", + "labels = ['Reconstructed', 'Exact']\n", + "values = [reconstructed_expval, exact_expval]\n", + "\n", + "x = np.arange(len(labels)) # X-axis positions for the labels\n", + "width = 0.35 # Bar width\n", + "\n", + "fig, ax = plt.subplots()\n", + "rects1 = ax.bar(x, values, width, label='Expectation Values')\n", + "\n", + "# Add error information on top of the \"Reconstructed\" bar\n", + "ax.text(0, reconstructed_expval + 0.01, f\"Error: {error:.6f}\\nRel. Error: {relative_error:.6f}\",\n", + " ha='center', fontsize=8, color='red')\n", + "\n", + "# Axis properties\n", + "ax.set_ylabel('Expectation Value')\n", + "ax.set_title('Comparison of Reconstructed and Exact Expectation Values')\n", + "ax.set_xticks(x)\n", + "ax.set_xticklabels(labels)\n", + "ax.legend()\n", + "\n", + "# Display the graph\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "329866a9-ebc6-434e-91c8-c797bbf25b39", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -434,7 +511,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.0" + "version": "3.11.11" } }, "nbformat": 4,