From 0874f67e9a5fa0133f9ebccf438a6f65133d132b Mon Sep 17 00:00:00 2001 From: Julien Gacon Date: Mon, 3 Oct 2022 17:18:10 +0200 Subject: [PATCH] trotter example --- Trotter circuit.ipynb | 339 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 339 insertions(+) create mode 100644 Trotter circuit.ipynb diff --git a/Trotter circuit.ipynb b/Trotter circuit.ipynb new file mode 100644 index 0000000..6ea2269 --- /dev/null +++ b/Trotter circuit.ipynb @@ -0,0 +1,339 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "a80cbd95", + "metadata": {}, + "source": [ + "# Example on Trotterization in Qiskit" + ] + }, + { + "cell_type": "markdown", + "id": "1e11020b", + "metadata": {}, + "source": [ + "### Define the system's Hamiltonian\n", + "\n", + "Here we have a Heisenberg Hamiltonian on a line with interaction strength $J=1/4$ and a field along the Z-axis with coefficient $g=-1$." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "c56544c7", + "metadata": {}, + "outputs": [], + "source": [ + "from qiskit.quantum_info import SparsePauliOp\n", + "\n", + "num_sites = 5\n", + "J = 0.25\n", + "g = -1\n", + "\n", + "hamiltonian = SparsePauliOp.from_sparse_list(\n", + " [(\"XX\", [i, i + 1], J) for i in range(num_sites - 1)]\n", + " + [(\"YY\", [i, i + 1], J) for i in range(num_sites - 1)]\n", + " + [(\"ZZ\", [i, i + 1], J) for i in range(num_sites - 1)]\n", + " + [(\"Z\", [i], g) for i in range(num_sites)],\n", + " num_qubits=num_sites\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "c29c40a8", + "metadata": {}, + "source": [ + "Further we need to set the evolution time:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "fe35ed6a", + "metadata": {}, + "outputs": [], + "source": [ + "time = 0.1" + ] + }, + { + "cell_type": "markdown", + "id": "2c07bfb9", + "metadata": {}, + "source": [ + "### First order Trotter circuit" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "cdcd2938", + "metadata": {}, + "outputs": [], + "source": [ + "from qiskit.circuit import QuantumCircuit\n", + "from qiskit.circuit.library import PauliEvolutionGate" + ] + }, + { + "cell_type": "markdown", + "id": "7aab8fec", + "metadata": {}, + "source": [ + "Per default, the `PauliEvolutionGate` performs just a single Trotter step of first order. We'll adjust that further below!" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "d5efaddd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "evolution = PauliEvolutionGate(hamiltonian, time=time)\n", + "\n", + "circuit = QuantumCircuit(num_sites)\n", + "circuit.append(evolution, circuit.qubits)" + ] + }, + { + "cell_type": "markdown", + "id": "c2c432b6", + "metadata": {}, + "source": [ + "We can draw it with different levels of decomposition. The first level still shows the local Pauli evolutions..." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "8fc09022", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Ai+u3qh+SIx77cTbeoc8G+/iRFDMf+199eva64PgV7uezt12YXU/4bA6a9Z/54EmHtbi+6+Y98rmHr8gOn9nT88t7VDofSdtkZPBXDslnbjk/7bt0arF974u/nI//7LTs8b3x+cT0byV1df+4sq4uo/73rIyYsuzNOl6DVJ+qLcCmTZuWqVOn5le/+lVOOumkjBw5MqeddlpGjBiRxYsXZ+jQoZVe4lprWro0tx5/YaYNPCa/3O+kdNuyV/Y6f2LZ7r/vIfvk1b/MyZtPPV+2+3zokl/lrbkv5SNnH7tsQ11d9v7+l/LUdXdlzvV3J0n+eNZV6bRJtww58ZAkyx649vn+l/Lni/43L93/eJJk0etvZe7M+9N/zMfLtvZyq3Q+kvJk5MU/NebhH/46+3z/S81PLB88+fB06No5fzr7J0mSv/36jsz9/Z+y93tekAz/9hfz5pPP5ZHLfrPS25WR9W995GPR62/lthO/n2GnHZFNd9o6ybL/aPQ/4mO5ZeIFaVq8JG8+9XzuPuPK7Pm98enSa5Mky/7zuvmH+ucPJ12y2vcjH+tXW+Xj9q9ekj7Dd0m/w/ZNsuw/Gnt+719z579dnvlzX8zSdxfnlokXZMCR+zf/J7XHzttl6Df/Jbd+6aIseuPtNb7PDSEfSeUzkpT/tcjzdzySR6+4Ift8/0up69A+SbLx9lvkw/9+ZG478eI8cU1Dnrvtoez5vfHNf2ezDw3IwC98MrdMvCBLFy3eYPKRVD4j6zsfC19+I7d95QfZ/ayj033bzZMk7Tp2yD4XfzmPXPqbPH/HI7nnrB9n7wuOby7TO/Xonj3/c0LuPuPKvPnkcyvcpnzUdj5uO/HibLPfsGz/qeHN2z78raOy4IVX8+D3f5FbJpyfQeM/nc2G7tR8/Z7/OTHP3HxfnvzFH1q9ffmoveeYBy+YkYWvzs+HTh/TvO39n94jW9cPzm1fvjh3n35lNtqqVwaN+6fm63edeFC69t40d//71DW+vw0pI5VUtQXY5MmTM2rUqNTX17fY3q9fv3Ts2DGDBw/Oq6++mgMPPDD9+/fPkCFDsv/+++fxxx+v0IpX373n/CyvPPRkmhYvycKX38hffvTb9NljUPP17bt2yofOODIH33VxRj9yZT7+s9Oy8fv7JFn24v6Ix36cLUYMXLZzXV0+fvXpzW/v7DNiUI58+n+y46H1OeSPl2T0I1dmr/MnpkO3Ls23v92o3TPvlgdarGnUtWdm8IkHJ0k+/ftzkyz7ScgRj/+4xU/O1lpTU2790kXZbtTu2f5TH8ngL3023bZ4X+4+/crmXZYsWJRbjr8wH5h4UHrvtlN2n3RM3nnlzTx4wYwWNzWv4YFsN2r3dV9TlWotH0lxMnL/936ed996Jx86fUw2/8guGTT2wNwy8YIsWfhu8z53fvNH2Xj7LTLoXz+dvv+8d7be94O57cSLS97uhp6RWs3HvFsfTONPfp99Lv5yum7eI3udPzH3nPXjvPHEs837PDbt5rzwx79mz/MmZJO+W2b3bx2V277ygyx8+Y3Vnp981EY+Frz4Wv7wtR9m97OPTfftNs9eFxyfebc9lNnTb2ne57XGubn3nJ9lrwsmputmPbLPxV/Oo1fckOfveGSt51f0fCQb1vNMi+97ytVpamrKbl8/PHXt2mXvi76Ux352U+bd8uckyR3fuDTvG7R9+o/5eDp065K9Lzoh954zLa/99enm29gQ8pEU53GklGduvi9PXNOQvb9/Quratctu3/hclix8N/d/b9k7Rv561Y15+aEnM/zby97JMeLbX8yL9z6Wx6bdvMrblI9lajEfbz/3Su74+g8zYsrYdN3ifdn6o7vl/Z/eI7eecFHS1JRXH3kq90/5n+x90ZfSoWvnDDjqE9m031a585s/Wu25ycc/1EJG/l7k7XjwPtl65AfTrU/PDD/ni/nDVy/Jghdfy+K338ktEy/MB086NO/bZfv0HPT+DD7x4GX/l1mwaK1mt6FkpJKqsgCbO3duHnrooRx66KErXDdnzpwMGjQonTt3Tl1dXU488cQ0NjbmgQceyIEHHphjjjmmAiteN1vutWtefeSp5q/3OHd8Nu23dX77qVPzP0OWPdnu9+Nvpq5D+7z26JzcdfqVqf/BienSe9MM+coh2WjLnrnj65c1//12Hdpn2/0/lF9+9Gv5331OzCZ9t8qHzzyq+fpeu+6Q1xrnrnI9v9pv2UdObvzcpPy035jcftIP2+T7fOuZl3LnqT/KHueOz+AvH5xbj78wi99+p8U+Lz/wRP58wbX52FWn/N+TzoVpWrq0xT6vPjon79t527Tr2KFN1lXtls9HUpyMNC1Z9sTS7/B989HLT8p93/2fFb7Xd+cvyC0nXJTdvn54hp/zhdzxjcvy9nOvlLzdDT0jtZyPP/3HT9KuQ/t8+qbv5eUHn8xfr7pxhX1uP/mH6TW4bw745dl5/JqGPHPzfat9+4l81FI+nv5/f8zffnV7PvXbc9Jjp21yxzcuW2Gfv/zourz+2DP59M3fS9OSJblvytVrNJ/lbWj5SIr9PPNeTYuX5JYJF2SXYw7IPpecmA7dOudPk3/afP2iN97OrSdclA+dPib7/ODLeWP2vPzl8uta3MaGmI+kth9HSrln0o/TadPu2ecHX86AMR9f9o7jJf943fmHr12SLfcclH1+cGI2333n3HFy6fuRj2VqNR9P/fauzLnhj9nn4i9nz/Mm5M5T/itvPfNS8/UPX/rrzH/6hezzgxMz7LQjcuvxF+bd+QtWe07y8Q+1kpH5T7+QO//t8ux53oTsc/GX89Rv7sjTN97TfP1L9z2WBy/+Zfa5+EvZ+/tfyp/PvzYv/3n2Ws0p2XAzUk5VW4AlSZ8+fVpsX7BgQRoaGpo//tijR4/st99+zdfvscceefLJJ1frPurq6spyaWhoKLmO7T/1kQw4cv/cdfoVSZLOPTfOjv+8d+785n/lnZdez9J3F+f+712Trpv3aH7L7eNX35xnGx7I/v9zRgb96z9l5he/l8ULFra43T+d/ZO8++bbeeel13Pfd69Ov0Pqmz+f3GnTjfLum6v/YN2WXrj70XTo0ilvPPFsXrz3sZXuM++2h9K196Z57g8PZ/6cF1a4ftGbb6euXbvmt6QnSUNDQ9mOaSXzkRQvI2/OeSHz57yQjht3yxPXrHwerz7yVN6dvyBLFr6bub+7Z6X7vFdRMtJaPpLiPYYsXbQ4L9zz13TtvWkem3bTSvdZ+MqbefUvTy3b52cr36eUouRjbR5DajEf8257MF17b5qnrr8ri15/a6X7PHf7w+nae9M8Mf2WLH138TrdX5HysTYZSWozJ6vrjSeezb3fmZb3Hzi8+aON7/X8HY/ksWk3p88eg/KHlbzbuGj52FAeR1ZlycJ3c8uE87PDQXvmT5N/ljf/1vKjjQtffiO3f/2y9P3sXrn9pB9m4avzS96efNR+Pu4+/cps/P4t8vxdf8mTv1zxo423nXhxttz7A/nrVTfmhT/+dY1uWz6WqbWMzJ5+S16877F033az3P2tqStc/+AFM7Jk4btZ/NY7efDiX654A2ugiBlZ3/lbnf8vvVdVVou9e/dOkjQ2NuaTn/xk8/YpU6Zk3rx5qzwB/vnnn5/PfOYz5Vhim9j+wBHZY8rY3HTUt/PKg8uKu7+fh+Cgm77XYt92HTtko/ecCPyRH12XT//uu3n857Py+kra7flzX/zHn59+Me27dEqXnhvnnZffyKLX30rHjbuu8HfWu7pl5/3622/uyBYjBmbgFz+VR/7rty126dC1c/a64Pj85fLrsuOh9dlu1Icz54Y/ttin08bd0rR06Vqd36WWrCwfSfEystvJh6dpaVOenfVARkwZm5nHfneFfUZ8+4t55aEn07nnJhl22hG5+4ypJW9zQ85Iredjq/oh6fvZvfPIj36b3c88OvNufXCFn672//x+6bHzdnns6puzx3fH5bcHntriJ/atkY/ayUfXzXvkI/9xXB78/i+yy3EH5Inpt+TlB55osU+PnbfL4BMPzoMX/W8++NVD89Rv72zxE/s1taHkI9lwnmeW9+rDT6VpaVOLjza2vP5veeel17PgxddWuG5DykdSjMeR1vz9nSmv/uWplV//8N9KXv9e8lH7+Vj89juZ/9QLqzzebz/3SvMP4taUfCxTixl59eGn0nGjriv9aGPT0qV57a9PZ+niJUlT0zrdz4aWkUqoygKsb9++GTx4cCZPnpyePXtm6623zvTp03Pddcvehr6yAuzMM8/M448/nptvXvXn8t+raR3Dubqu/+czVnoukn6Hj8yH//3I3HTUt1v89OCt//uHfO2eJ6zynDbtu3TKXhccn8euvjnbf/Ij2XLvXTPv1gdb7NN9m82aT/rXfdvNsuSdRXnnlTeTJK889GR69N+mxds3l7f8xw7bwq4nfDZdem+a340+O71365eP/fibeabhgRYPaB8+6+gsePG13HX6lXnpgScy4rv/mhfuacw7L73evE+PAdsue5B5z0/56+vr8+0Za9b+VoM1zUdSrIxsvvvO2eULn8xvP/nNvPPS6zlo5nnp97mP5vGr//HveIfP7pWt9h2SX478ajptulEOvOE7efrGP2XebQ+u8naLkpFV5SMp5mNI5/d1z17nT8zd3/rvPPbT36fHgO3ykclfyG1f+sdvyNl4hz758L8flZlfODfP3/WX/NP/+06GfPXQ3P/d/1nt+ylKPpLiP8fsdf7EPDPrgfzpP36SxQsWZp/vfym/+vjJWfLOsheg7Tr930mr/+u3ue/b09Jls02z1wXH5/8deuZavwgtUj4SzzNtrWj5SIr/OFJO8iEfpcjHMjKyakXMyPq07777rvHfqcqPQLZr1y7XXHNNBg0alPHjx+eYY45J7969M3HixLRv3z6DBw9usf/ZZ5+d3/zmN7nhhhvSrVu3Vdxq9djluE/mQ2ccmRtHn73CA8I7L7+RJ2bcmhHnfLH5V6B22qRbtjtg9+YT+w2f/IUsfOWN3P61H+bOU3/UfMLo9xp66hHp2L1ruvTaJB886bA8ce0tzf8ZmHPDH7Pl3i1nuLwFL7yWTXbYso2+46TX4L4Z/OV/zi0TL8jiBQvz3O0P56//fWOL38a07f4fyg7/tOy8X2lqyhPXNOT5Ox9p8RuZkmXvEFn+XWFFUiofSXEy0rF71+x90Qm57ztX57W/Pp13Xn4jf/jaJS1+I1O3rXpl+OQv5PaTfpgFL7yW1x97Jn86+yfZ6/yJLd4avLwNOSO1nI8R3/3XvHT/43nsp79Pktx24vez7ceHZftPfSRJUte+Xfb5/pfz2P+9LX7JO//3izPGfzq9d9up1E23IB+1kY9djvtkNt1pm9x5yn8lSf58wbVZ9PpbLX4b07BTj1j20Yn/+zXnd/3bFem+7WYtfiPTmip6PpIN53lmfdgQ8pEU53Gk3ORDPkqRj2VkZNU2lIxUUlUWYEnSv3//zJw5M2+99VbmzJmTSZMm5cEHH8zAgQPTtes/3s545pln5te//nV+97vfpUePHpVb8Br4yNnHptPGXTPq2m/liMd/3Hz5u9tPuiSvP/FMRl17Zo547Mc56Obz8v4DRyRNTdnx0Pps87HdcsuEC9K0dGlmX3trnr7xnuzzgxNT127Z4Vy6eEnm/v5POWjmefnsbRfmzadeaPGrWJ+4piE9B22f7tttvso13vvtadnt5MMz+i9TM2LK2HX6ftt36ZS9v/+lPPj9X7T46Mq93/5Z6tq3z24nH54uvTfNHt8bnzv/7fK8NfcfH1254+uXptfgvun/+WXneuu0Sbds89HdVnpi7KJoLR9JMTLykclfyJt/ez6PXPab5m1zf/enPPmL25b9lpe6uux94Ql56rq7Muf6u5v3efTKG/Ja49MZfs4XV3q7MlKb+ej3uY9miw8PyB/ecxLSt599OXd+878yYsq4dN28R4Z89dB02KhL/nT2T5r3eeXBJ/PAf07P3hedkA5dO7d6P/JRG/nYtP82GXrqv+TWL12Ud99c9jGApiVLc8sJF6bfYftmq32HZMu9dk3/z++37KTVi5ckSRa/9U5uPeGifPDkw9Jj5+3WeHYbQj6SDed5pq1tKPlIivE4Um7yIR+lyIfnmNZsSBmppLqmcn0WsA3ssssuGT58eK688sokycMPP5wPfOAD2XHHHdO9e/fm/e6///4KrXBFpT7CtD70GTEo+//8jFy17eEl9xtw5P7Z/MMDlv1q3xoy9NR/SdOSpbnvOy1/y9cWIwbmgBlnVWhVa6/c+UhkpJbIR9srUj4SzzFtrWj5SDyOtKUi5iPxONJW5KNtyEdt8RzTdoqakfXp7x+BnDVr1mr/nao8B9jKzJ8/P42NjZkwYULztkGDBpXtXF5F89erbqzJdvneyT+r9BI2GDJCKfJBKfLB6qi1nMhHeckHpcgHrZERVqZmCrDu3btnyZIllV4GAAAAADWmas8Bxtp57o6HW307KBs2GaEU+aAU+WB1yAmlyAelyAetkRHWhQIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFFqHSi+glKVLl+a8887LpZdemqeffjoDBgzIhRdemLFjx6a+vj6XXXZZpZe41nY7ZXT6fnavdH7fxlmy8N08f+cj+eO3/jtvPfNSpZdGFZAPWiMjlCIftEZGaI2MUIp8UIp8UK2q+h1gxx13XCZNmpRx48bl+uuvz2GHHZbRo0dn9uzZGTZsWKWXt05mT2/Ir/Y7OT/rf2Sm7z4+bz3zUuov+Uqll0WVkA9aIyOUIh+0RkZojYxQinxQinxQrar2HWDTpk3L1KlTM2vWrNTX1ydJRo4cmXvvvTczZszI0KFDK7zCdfP64882/7kudWla2pRNdtyqgiuimsgHrZERSpEPWiMjtEZGKEU+KEU+qFZVW4BNnjw5o0aNai6//q5fv37p2LFjBg8enCT5zGc+k9mzZ6d9+/bp2LFjJk+enP32268SS15jO3x2r4z49hfTaZONsvTdxbn7W/9d6SVRReSD1sgIpcgHrZERWiMjlCIflCIfVKO6pqampkovYnlz587Ntttum8svvzzHHntsi+tGjx6dRx99NPfdd1+S5LXXXkuPHj2SJPfdd1/23XffvPLKK2nfvn3J+6irq1sva1/eN3ruk507bVZyn66b9chO//LRvHD3X/PcHQ+XZV1F8+iiF/OdV26p9DLWmHyUTy1mZHXykchIW6jFfCQeQ8qlVvORyEg51HI+EhlZ3+SDUuSD1tR6RsphTSqtqjwH2Ny5c5Mkffr0abF9wYIFaWhoaPHxx7+XX0ny+uuvp66ubo0GUA0WvPhaGn/y+3zsx6ekU4/ulV4OVUY+aI2MUIp80BoZoTUyQinyQSnyQTWpygKsd+/eSZLGxsYW26dMmZJ58+atcAL8iRMnpm/fvjn44INz7bXXpkOH1j/Z2dTUVJbL8h/hXJW6Du3TcaOu6bbF+1ZzSrxXfX192Y6pfNSmWszI6uYjkZF1VYv58BhSPrWaDxkpj1rOh4ysf/JBKfJBa2o9I+s7f2vy/6WkSguwvn37ZvDgwZk8eXKuuuqq3HTTTRk/fnyuuOKKJFmhALv44osze/bszJgxIyeffHLmz59fiWWvvrq67HzMqHTptUmSpNuWPTP8nC/kzTnP5/XHn6nw4qg4+aA1MkIp8kFrZITWyAilyAelyAdVrCpPgt+uXbtcc801GTduXMaPH59evXrlqKOOysSJE3Pqqac2nwB/efX19WnXrl3+8Ic/5BOf+ESZV71mtvnY0Az56qHp0K1zFr3+Vp6745HceNhZaVqytNJLowrIB62REUqRD1ojI7RGRihFPihFPqhWVVmAJUn//v0zc+bMFtvGjBmTgQMHpmvXrkmS+fPn5+WXX87222+fZNlJ8J944onssssuZV/vGmlqyu8/P7nSq6BayQetkRFKkQ9aIyO0RkYoRT4oRT6oYlVbgK3MPffck+HDhzd//dZbb+Xwww/P/Pnz06FDh3Tp0iU/+clPst1221VwlQAAAABUk5opwObPn5/GxsZMmDChedsWW2yRO++8s4KrAgAAAKDa1UwB1r179yxZsqTSywAAAACgxlTlb4EEAAAAgLaiAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKLSqLsCWLl2ac889NzvttFO6dOmSIUOGpKGhIQMGDMjYsWMrvTwAAAAAakBVF2DHHXdcJk2alHHjxuX666/PYYcdltGjR2f27NkZNmxYpZfXNurq8slf/UeOnjc93bbsWenVUG3kg1Lkg9bICK2REUqRD1ojI5QiH1SZDpVewKpMmzYtU6dOzaxZs1JfX58kGTlyZO69997MmDEjQ4cOrfAK28agsQdm8YKFlV4GVUo+KEU+aI2M0BoZoRT5oDUyQinyQbWp2neATZ48OaNGjWouv/6uX79+6dixYwYPHtxi+2WXXZa6urpMnz69nMtcJ5v03TIDjv5E7jnrqkovhSokH5QiH7RGRmiNjFCKfNAaGaEU+aAaVWUBNnfu3Dz00EM59NBDV7huzpw5GTRoUDp37ty87bHHHsuVV16Z4cOHl3OZ66auLnv+54Tcc9ZVWfT6W5VeDdVGPihFPmiNjNAaGaEU+aA1MkIp8kGVqtoCLEn69OnTYvuCBQvS0NDQ4uOPixcvzrHHHptLLrmkRSnWmrq6urJcGhoaVnr/A7/4qSx44bXMuf7utZgQy2toaCjbMZWP2lSLGZGP8qnFfMhI+dRqPmSkPGo5H6vKiHy0nSLmI5GRtiIftKbWM7K+87eqDK5KVRZgvXv3TpI0Nja22D5lypTMmzevxQnwJ02alAMOOCAf/OAHy7nEdbLx+/tk0Lh/yl2nXl7ppVCF5INS5IPWyAitkRFKkQ9aIyOUIh9Us7qmpqamSi9ieUuXLs1uu+2WefPm5dxzz83WW2+d6dOn57rrrsucOXNy55135iMf+UjuuuuunHTSSZk1a1bat2+ffffdN8cff3wOOeSQSn8Lza7/5zPy/B2PtNjW77B9M2LKuLz71oIky96N1vl9G2fhq2/m3u9cnb/+9/+rxFJr2hYjBuaAGWdVehlrTD7KpxYzIh/lU4v5SGSkXGo1H4mMlEMt5yNZMSPy0baKlo9ERtqSfNCaWs9ItanK3wLZrl27XHPNNRk3blzGjx+fXr165aijjsrEiRNz6qmnNp8Af+bMmXniiSey4447Jkmee+65PPLII3nqqafyta99rZLfQklP/vr2PHvrn5u/3mjLXvnUb8/JjaPPzuuPPVPBlVEN5INS5IPWyAitkRFKkQ9aIyOUIh9Us6oswJKkf//+mTlzZottY8aMycCBA9O1a9ckySmnnJJTTjml+fpqfAfYyixZsChvL3il+et27dsnSRa88GoWv/1OpZZFlZAPSpEPWiMjtEZGKEU+aI2MUIp8UM2qtgBbmXvuuae2ftPjapo/98VM3bK6SzsqRz4oRT5ojYzQGhmhFPmgNTJCKfJBNamZAmz+/PlpbGzMhAkTVrnPrFmzyrcgAAAAAGpCzRRg3bt3z5IlSyq9DAAAAABqTLtKLwAAAAAA1icFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoXWo9AKKruegHSq9hA1Crc65Vtddi2px1rW45lpVq7Ou1XXXmlqecy2vvVbU+oxrff3VrtbnW+vrr3a1Pt9aX38tMOO2VdfU1NRU6UUAAAAAwPriI5AAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQutQ6QUU3V2nX5lXHn6y0ssovJ6DdshHJh1T6WWsMfkoHxmhFPmglHLlw/Fse6s6dmbd9sy6fMy6fMy6fGr1tRi1RQG2nr3y8JN5/o5HKr0MqpR80BoZoRT5KBbHs3zMunzMunzMunzMGmqTj0ACAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQqvqAmzp0qU599xzs9NOO6VLly4ZMmRIGhoaMmDAgIwdO7bSywMAAACgBnSo9AJKOe644zJjxoycfvrpGTZsWG6//faMHj06L774Yr761a9WennrpK5duww77Yj0O3zftO/cKc80PJA7vn5pFr7yZqWXRhWQD1ojI5QiH8XieJaPWZePWZePWZePWUN1q9p3gE2bNi1Tp07Nr371q5x00kkZOXJkTjvttIwYMSKLFy/O0KFDK73EdbLrCZ/Jtp/4cH7zyW/m50PHJUn2vuhLFV4V1UI+aI2MUIp8FIvjWT5mXT5mXT5mXT5mDdWtaguwyZMnZ9SoUamvr2+xvV+/funYsWMGDx6cJPnb3/6W+vr69O/fP7vuumtuvfXWSix3jfX//Mfz0MW/yPw5L+TdN9/Onyb9ONt8dLdstE3vSi+NKiAftEZGKEU+isXxLB+zLh+zLh+zLh+zhupWlQXY3Llz89BDD+XQQw9d4bo5c+Zk0KBB6dy5c5Jk3LhxOfzww9PY2JhLL700n/vc57Jo0aJyL3mNdNqkW7pvs1le/vPs5m1vPvV8Fr3xVnoOfH/lFkZVkA9aIyOUIh/F4niWj1mXj1mXj1mXj1lD9avaAixJ+vTp02L7ggUL0tDQ0Pzxx5deeim33XZbjjvuuCTJHnvska222iozZ85s9T7q6urKcmloaFjhvjt075okWfTG2y22L3rj7XTcuOuaD4w0NDSU7ZjKR22SEUqRD0opVz4cz7a3qmNn1m3PrMvHrMvHrMunVl+LuVT+siaqsgDr3XvZW0QbGxtbbJ8yZUrmzZuXYcOGJVn2brAtttii+d1gSbLDDjvkqaeeKt9i18Li+QuSLPspwXt12qRb3n1zQSWWRBWRD1ojI5QiH8XieJaPWZePWZePWZePWUP1q8oCrG/fvhk8eHAmT56cq666KjfddFPGjx+fK664IkmaC7B1UV9fn/r6+jQ1Na3Xy/LnMEuW/RRg/twX03PXvs3bum+3eTptslFefaS6y7tqVY5jKR+1TUYoRT4opVz5cDzb3qqOnVm3PbMuH7MuH7Mun1p9LeZS+cuaqMoCrF27drnmmmsyaNCgjB8/Psccc0x69+6diRMnpn379s0nwN9uu+3y/PPPZ+HChc1/98knn8z2229fqaWvtsaf/C67Tjwo3bfdPB27d82H/m1Mnpl5X+bPfbHSS6MKyAetkRFKkY9icTzLx6zLx6zLx6zLx6yhunWo9AJWpX///iucy2vMmDEZOHBgunZd9hnq3r17Z88998zll1+eCRMm5Pbbb88zzzyTkSNHVmLJa+TBi36RTpt2z4E3fDvtO3XMs7f8Obccf2Gll0WVkA9aIyOUIh/F4niWj1mXj1mXj1mXj1lDdavaAmxl7rnnngwfPrzFth/+8Ic5+uijc/7556dTp06ZNm1aOnXqVKEVrr6mpUtzz1lX5Z6zrqr0UqhC8kFrZIRS5KNYHM/yMevyMevyMevyMWuobjVTgM2fPz+NjY2ZMGFCi+19+/bNLbfcUqFVAQAAAFDtaqYA6969e5YsWVLpZQAAAABQY6ryJPgAAAAA0FYUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQOlR6AaUsXbo05513Xi699NI8/fTTGTBgQC688MKMHTs29fX1ueyyyyq9xLWyw0F7ZudjRuV9A7dPh66dc9W2h1d6SVQZGaEU+aAU+Sgex7R8zLp8zLo8zLl8zBqqX1W/A+y4447LpEmTMm7cuFx//fU57LDDMnr06MyePTvDhg2r9PLW2sLX5+fRqTfk7jOmVnopVCkZoRT5oBT5KB7HtHzMunzMujzMuXzMGqpf1b4DbNq0aZk6dWpmzZqV+vr6JMnIkSNz7733ZsaMGRk6dGiFV7j2np31QJKkz4hBFV4J1UpGKEU+KEU+iscxLR+zLh+zLg9zLh+zhupXte8Amzx5ckaNGtVcfv1dv3790rFjxwwePDhJcsYZZ6R///5p165dpk+fXomlAgAAAFDFqrIAmzt3bh566KEceuihK1w3Z86cDBo0KJ07d06SjBo1KjfccEP22WefNbqPhoaGNDQ0pK6ubr1eGhoa2mQmlFaOYykftU1GKEU+KKVc+XA8296qjp1Ztz2zLh+zLh+zLp9afS3mUvnLmqjKj0DOnTs3SdKnT58W2xcsWJCGhoYccMABzdv22GOPsq4NAAAAgNpSle8A6927d5KksbGxxfYpU6Zk3rx5bXIC/Pr6+tTX16epqWm9Xpb/CCfrRzmOpXzUNhmhFPmglHLlw/Fse6s6dmbd9sy6fMy6fMy6fGr1tZhL5S9roirfAda3b98MHjw4kydPTs+ePbP11ltn+vTpue6665Kkpn8DZJLUtWuXdh3bp12nZeNv37ljkmTJwncruSyqiIxQinxQinwUj2NaPmZdPmZdHuZcPmYN1a8qC7B27drlmmuuybhx4zJ+/Pj06tUrRx11VCZOnJhTTz21+QT4tWrHQ/bJXhcc3/z1mL9NS5JM//D4zJ/7YqWWRRWREUqRD0qRj+JxTMvHrMvHrMvDnMvHrKH6VWUBliT9+/fPzJkzW2wbM2ZMBg4cmK5du1ZoVW3j8Z/PyuM/n1XpZVDFZIRS5INS5KN4HNPyMevyMevyMOfyMWuoflV5DrBVueeee1b4+OPpp5+ebbbZJnfccUfGjRuXbbbZJk888USFVggAAABAtamZAmz+/PlpbGzM0KFDW2yfNGlS5s6dm4ULF+bll1/O3Llzs+OOO1ZolQAAAABUm6r9COTyunfvniVLllR6GQAAAADUmJp5BxgAAAAArA0FGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoVV1AbZ06dKce+652WmnndKlS5cMGTIkDQ0NGTBgQMaOHVvp5dW0AUfun70vOqH56/1+elo+MOGgCq5o9Ww98oMZ9b9nVXoZGwQZoRT5oBT5KJ5aOKbDTj0iu339c5Vexjox5/Ix6/Ix6/IxayitQ6UXUMpxxx2XGTNm5PTTT8+wYcNy++23Z/To0XnxxRfz1a9+tdLLW2vDTvt8tvn4sGy0Va8sfuudzL3p3txz9k+y6LX5Zbn/Dl0754MnH57rDjy1edvvj/iPFvscPW96rjvo3/LC3Y+u8nb2On9ili5ekttP+mGS5JC7f5B7vzMts6+9Nd232SyH/PGS/Hzo2Lw975UcNOs/032b3ivcRseNuqbxZzfl9q9dslr7PDPz/gz56qHZ/lMfyVO/vWttR1DVKp2PpDwZGfGdsel78N4r/J32XTpl/tMvZsaI41drn+WzJiPr3/rIR99/3jsjpqz4g412HTukfaeO+fmwcekzfGCr+7z97MslH4vkY/1ri3xstHXvfKbhP1fYXteuXTp07ZxbTrgwz9/xSKv7zJ5+yxo9V1VjPip9PJPKvG7od9i+GXziwZmxxwmrlYfZ02/Jgxf/Igff8f389aob8/Zzr6zx91npWVfr67P3Hosk6zznZMOY9dq8hjHrtnvN0NrrAbNe++ffNX1uXR+zhrVVtQXYtGnTMnXq1MyaNSv19fVJkpEjR+bee+/NjBkzMnTo0AqvcO01LV2aW4+/MK8+OiedNt0oe194QvY6f2JuPvo7Zbn/vofsk1f/MidvPvV8We4vSX6571dW2DZw3IEZ8uWD89DFv1jtfZLksatnZpcvfKpq/nPS1iqdj6Q8GbnjG5fljm9c1mLbZsP65xPX/HvunfzT1d5nZWRk/Vof+Zg949bMnnFri22de26cT/32nDwz8/68/ezLq7XP6pCP9ast8vHWMy/lp/3GrLB95BUnZ6Mte+Wp39yZJe8sanWftVFt+aj08Uwq87rhvVYnD0my6PW3Mnfm/ek/5uO5/7v/s8b3U+lZV+vrs+Wt65yTDWPWa/sa5r3MeuXa6vXAe5n1Mqv7eLsu2mLWsLaq9iOQkydPzqhRo5rLr7/r169fOnbsmMGDB+fVV1/NgQcemP79+2fIkCHZf//98/jjj1doxavv3nN+llceejJNi5dk4ctv5C8/+m367DGo+fr2XTvlQ2ccmYPvujijH7kyH//Zadn4/X2SJD123i5HPPbjbDFi4LKd6+ry8atPb36ra58Rg3Lk0/+THQ+tzyF/vCSjH7kye50/MR26dWm+/e1G7Z55tzzQYk2jrj0zg088OEny6d+fmyTZ/+rTc8TjP84e5/5rm89g64/ulmGn/EtmjT0vb8yet0b7zGt4IFvsvnM6v697m6+rGrSWj6SYGdlo69756BUn58Hv/yJ/+/Uda71PIiNFyEe7jh0y8kcnZf5Tz+fu069Y631WRj5qMx/DTj0ivYf0y01HfydL3lm01vu0ptrysaE+J7RmVcd6XsMD2W7U7mt1m0X9t7MmVuf1WbJuc042zFmv7muY5Zl169b29cDyzHrl2uK5dXnrOmtYW1VZgM2dOzcPPfRQDj300BWumzNnTgYNGpTOnTunrq4uJ554YhobG/PAAw/kwAMPzDHHHFOBFa+bLffaNa8+8lTz13ucOz6b9ts6v/3UqfmfIV/Mi/c+lv1+/M3UdWif1x6dk7tOvzL1PzgxXXpvmiFfOSQbbdkzd3z9Hz9hatehfbbd/0P55Ue/lv/d58Rs0nerfPjMo5qv77XrDnmtce4q1/Or/U5Kktz4uUn5ab8xzW9tbSs9+m+T+ktOzN3/PjXzbntwjfeZP/fFLH57YXp+YIc2XVe1Wj4fSfEy0qFbl3zsv0/JvD88nAfOu2at9/m7DT0jRcjH8G9/MV0365FZY7+XpiVL13qflZGP2svHjofWZ+fjDsjNx3wnC55/da33WR3Vno8N4TmhNaWO9auPzsn7dt427Tqu+4ccivBvZ02szuuzv2vLOSfFn/WavIZZnlm3bm1fDyzPrFfUVs+ty2vrWcPqqtoCLEn69OnTYvuCBQvS0NDQ/PHHHj16ZL/99mu+fo899siTTz65WvfR0NCQhoaG1NXVrddLQ0NDyXVs/6mPZMCR++eu//tpReeeG2fHf947d37zv/LOS69n6buLc//3rknXzXtks6E7JUkev/rmPNvwQPb/nzMy6F//KTO/+L0sXrCwxe3+6eyf5N033847L72e+757dfodUp/U1SVJOm26Ud59c8Fqzamtde61ST521Tfz+M9n5a9X3bjW+yx68+107vGPn86X41hWQz6SAmakri77/ODLWfLOovzhKxev/T7L2VAzUoR8DPrXT2e7Ubvn92POyaI33l7rfUqRj9rJx+YfHpAR3xmb2750UV7+8+y13mdNVCofnhNa19qxXvTm26lr1y6dNumWZNXHbkP4t7MmVue113stP+fErFepbs1fw7yXWZe2rq8H3susW2rr59b3WpNZu7i0dlkTVVm59u697GScjY2N+eQnP9m8fcqUKZk3b16GDRu20r93/vnn5zOf+Uw5ltgmtj9wRPaYMjY3HfXtvPLgsuKu+7abJ0kOuul7LfZt17FDNtqqV/PXj/zounz6d9/N4z+flddX0vTPn/viP/789Itp36VTuvTcOO+8/EYWvf5WOm7cdX18SyW169ghH73i5Lz+xLP547//91rvkySdNu6WhWU8AXAlrCwfSfEy8qF/+3x6fuD9+e0B38yShe+u9T7L21AzUuv52ObjwzL0G5/L7/7lP/Lm355b631aIx+1kY/u22yWkVd8PQ+cf+0qz8m1OvusqWrMx4bynFDK6hzrTht3S9PSpev0H+Ei/NtZE6v72uu92mLOyYYx67V5DfNeZr1qbfF64L3M+h/Wx3Pre7XVrGFNVWUB1rdv3wwePDiTJ09Oz549s/XWW2f69Om57rrrkmSlBdiZZ56Zxx9/PDfffPNq3cffzy02a9asNlv3ylz/z2fk+TseWWF7v8NH5sP/fmRuOurbeeGPf23e/tb/Pahdu+cJWfjyGyu9zfZdOmWvC47PY1ffnO0/+ZFsufeumXdry7eqd99ms+YTIHbfdrMseWdR3nnlzSTJKw89mR79t8nTN96zynU3LV37tw+vyh7fHZdOm3bP74+YvMrbX519Ntqmdzp065xXHv5b87b6+vp8e0bpn8RUozXNR1KsjPQ7fGQGHLl/rjvo37LgxdfWep/lbcgZqeV89Nh5u+xz8Zdz56k/ynN3PLzW+7RGPmojHx026pKPXXVKnp11fx68cMZa77OmKpmPDf05oZTVPdY9Bmyb1/76dJa+uzjJqo9dkf/trKnVee21vOXnnJj1yqzNa5jlmfXKtcXrgRVu06yTrJ/n1uWtyayhLVXlRyDbtWuXa665JoMGDcr48eNzzDHHpHfv3pk4cWLat2+fwYMHt9j/7LPPzm9+85vccMMN6dat2yputXrsctwn86EzjsyNo89e4YXsOy+/kSdm3JoR53wx3fr0TJJ02qRbtjtg9+aTHA6f/IUsfOWN3P61H+bOU3+UfS7+crpu3qPF7Qw99Yh07N41XXptkg+edFieuPaWpKkpSTLnhj9my71bznB5C154LZvssGUbfcfJByZ+JtvsNzQ3jTkn785f+VtzV2efJNlqnyF54Y9/zcL/e7AvmlL5SIqTkc0/skuGn/OF3HL8hSucz2ZN9lmZDTkjtZqPLr02yX5XnZLGn/4+j01b+Q8yVmef1SEfNZCPurrUX/KVLHpzQf7wtUvWfp+1UG352FCeE0pag2O9Vf2QzLnhj2t1N4X4t7OGVve11/LWZc7JhjHrtX0NszyzXlFbvR5YnllnvT23Lm9dZw1rqyrfAZYk/fv3z8yZM1tsGzNmTAYOHJiuXf/x1s4zzzwz1113XX73u9+lR48eZV7l2vnI2cdm6buLM+rab7XY/vdfOXv7SZdk8Jf+OaOuPTNdN++RRa+/lefv+kuenfVAdjy0Ptt8bLf8ar+T07R0aWZfe2v6jBiUfX5wYm487KwkydLFSzL393/KQTPPS8fuXfP07/6Uu/99avP9PHFNQ3b7+uHpvt3mmT/nhZWu8d5vT8tuJx+eD3/rqPzt17e3OAHj2hj6zdHJ0qYcNPN7K1z3/F2P5vdH/Mdq7ZMkO33uo3n40l+v03qqWWv5SIqRkQ9+7bC079wx+1z8pZVe/9N+Y1Zrn5XZ0DNSi/nof+T+6b7t5hlw5P4ZMObjK1z/uyMmp88eg1rd54W7/lLyfhL5qIV8bL77ztn248Oy5J1FGf3IlSv8/T9f+L95/q6/tLrP2vzkutrysaE8J5SyOnl48MIZ6bRJt2zz0d3yy49+ba3upwj/dtbU6r72eq91nXOyYcx6bV/DvJdZr9zqvGZYndcD72XWy6zu4+26aItZw9qqa2r6v8q4Buyyyy4ZPnx4rrxy2T/Ghx9+OB/4wAey4447pnv3f5ys9v7772/1tvbdd98klfsI5PrSZ8Sg7P/zM3LVtoeX3G/Akftn8w8PyK0nXFSmlbWNrfYdkiEnHpLrP3N6i+1bjBiYA2acVaFVrb1y5yORkVrjMaRtyce6kY/1y3PCuhl66r+kacnS3Pedq5u3rerY+bez9lY258Ss1wezLh+zLp81nTW0pap9B9jy5s+fn8bGxkyYMKF526BBg1JD/V1V+etVN67Wb/mpNs/OeiDPznqg0svYIMgIpcgHpchH8dTCMb138s8qvYR1Zs7lY9blY9blY9ZQWs0UYN27d8+SJUsqvQwAAAAAakxVngSftffcHQ+3+tZYNmwyQinyQSnyUTyOaXmYc/mYdfmYdfmYNbQNBRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAotA6VXkApS5cuzXnnnZdLL700Tz/9dAYMGJALL7wwY8eOTX19fS677LJKL3Gt7XbK6PT97F7p/L6Ns2Thu3n+zkfyx2/9d9565qVKL40qIB+0RkYoRT6KxfEsH7MuH7MuH7MuH7OG6lbV7wA77rjjMmnSpIwbNy7XX399DjvssIwePTqzZ8/OsGHDKr28dTJ7ekN+td/J+Vn/IzN99/F565mXUn/JVyq9LKqEfNAaGaEU+SgWx7N8zLp8zLp8zLp8zBqqW9W+A2zatGmZOnVqZs2alfr6+iTJyJEjc++992bGjBkZOnRohVe4bl5//NnmP9elLk1Lm7LJjltVcEVUE/mgNTJCKfJRLI5n+Zh1+Zh1+Zh1+Zg1VLeqLcAmT56cUaNGNZdff9evX7907NgxgwcPTpJ85jOfyezZs9O+fft07NgxkydPzn777VeJJa+xHT67V0Z8+4vptMlGWfru4tz9rf+u9JKoIvJBa2SEUuSjWBzP8jHr8jHr8jHr8jFrqF51TU1NTZVexPLmzp2bbbfdNpdffnmOPfbYFteNHj06jz76aO67774kyWuvvZYePXokSe67777su+++eeWVV9K+ffuS91FXV7de1r68b/TcJzt32qzkPl0365Gd/uWjeeHuv+a5Ox4uy7qK5tFFL+Y7r9xS6WWsMfkoHxmhFPmglHLlw/Fse6s6dmbd9sy6fMy6fMy6fGr1tRiVtyaVVlWeA2zu3LlJkj59+rTYvmDBgjQ0NLT4+OPfy68kef3111NXV7dGA6gGC158LY0/+X0+9uNT0qlH90ovhyojH7RGRihFPorF8Swfsy4fsy4fsy4fs4bqU5UFWO/evZMkjY2NLbZPmTIl8+bNW+EE+BMnTkzfvn1z8MEH59prr02HDq1/srO+vj719fVpampar5flP8K5KnUd2qfjRl3TbYv3reaUeK9yHEv5qG0yQinyQSnlyofj2fZWdezMuu2ZdfmYdfmYdfnU6msxl8pf1kRVFmB9+/bN4MGDM3ny5Fx11VW56aabMn78+FxxxRVJskIBdvHFF2f27NmZMWNGTj755MyfP78Sy159dXXZ+ZhR6dJrkyRJty17Zvg5X8ibc57P648/U+HFUXHyQWtkhFLko1gcz/Ix6/Ix6/Ix6/Ixa6h6VXkS/Hbt2uWaa67JuHHjMn78+PTq1StHHXVUJk6cmFNPPbX5BPjLq6+vT7t27fKHP/whn/jEJ8q86jWzzceGZshXD02Hbp2z6PW38twdj+TGw85K05KllV4aVUA+aI2MUIp8FIvjWT5mXT5mXT5mXT5mDdWtKguwJOnfv39mzpzZYtuYMWMycODAdO3aNUkyf/78vPzyy9l+++2TLDsJ/hNPPJFddtml7OtdI01N+f3nJ1d6FVQr+aA1MkIp8lEsjmf5mHX5mHX5mHX5mDVUvaotwFbmnnvuyfDhw5u/fuutt3L44Ydn/vz56dChQ7p06ZKf/OQn2W677Sq4SgAAAACqSc0UYPPnz09jY2MmTJjQvG2LLbbInXfeWcFVAQAAAFDtaqYA6969e5YsWVLpZQAAAABQY6ryt0ACAAAAQFtRgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFJoCDAAAAIBCU4ABAAAAUGgKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhaYAAwAAAKDQFGAAAAAAFFpVF2BLly7Nueeem5122ildunTJkCFD0tDQkAEDBmTs2LGVXh4AAAAANaCqC7DjjjsukyZNyrhx43L99dfnsMMOy+jRozN79uwMGzas0strG3V1+eSv/iNHz5ueblv2rPRqqDbyQSnyQWtkpFgcz/Ix6/Ix6/Ix6/Ixa6hKHSq9gFWZNm1apk6dmlmzZqW+vj5JMnLkyNx7772ZMWNGhg4dWuEVto1BYw/M4gULK70MqpR8UIp80BoZKRbHs3zMunzMunzMunzMGqpT1b4DbPLkyRk1alRz+fV3/fr1S8eOHTN48OAW2y+77LLU1dVl+vTp5VzmOtmk75YZcPQncs9ZV1V6KVQh+aAU+aA1MlIsjmf5mHX5mHX5mHX5mDVUr6oswObOnZuHHnoohx566ArXzZkzJ4MGDUrnzp2btz322GO58sorM3z48HIuc93U1WXP/5yQe866Kotef6vSq6HayAelyAetkZFicTzLx6zLx6zLx6zLx6yhqlVtAZYkffr0abF9wYIFaWhoaPHxx8WLF+fYY4/NJZdc0qIUa01DQ0MaGhpSV1e3Xi8NDQ0rvf+BX/xUFrzwWuZcf/daTIjlleNYykdtK1JG5KPtFSkfiYy0tXLlw/Fse6s6dmbd9sy6fMy6fMy6fGr1tZhL5S9roioLsN69eydJGhsbW2yfMmVK5s2b1+IE+JMmTcoBBxyQD37wg+Vc4jrZ+P19MmjcP+WuUy+v9FKoQvJBKfJBa2SkWBzP8jHr8jHr8jHr8jFrqH5VWYD17ds3gwcPzuTJk3PVVVflpptuyvjx43PFFVckSXMBdtddd+Xmm2/ON77xjTW+j6amprJclj+HWZJssfvO6dJrkxw067x87uEr8k83TkmSHHTT9zLgqE+sw+Q2XPX19WU7pvJRm4qSEflYP4qSj0RG1ody5cPxbHurOnZm3fbMunzMunzMunxq9bWYS+Uva6Iqfwtku3btcs0112TcuHEZP358evXqlaOOOioTJ07Mqaee2nwC/JkzZ+aJJ57IjjvumCR57rnn8sgjj+Spp57K1772tUp+CyU9+evb8+ytf27+eqMte+VTvz0nN44+O68/9kwFV0Y1kA9KkQ9aIyPF4niWj1mXj1mXj1mXj1lD9avKAixJ+vfvn5kzZ7bYNmbMmAwcODBdu3ZNkpxyyik55ZRTmq/fd999c/zxx+eQQw4p61rX1JIFi/L2gleav27Xvn2SZMELr2bx2+9UallUCfmgFPmgNTJSLI5n+Zh1+Zh1+Zh1+Zg1VL+qLcBW5p577qmt3/S4mubPfTFTt6zu0o7KkQ9KkQ9aIyPF4niWj1mXj1mXj1mXj1lD9amZAmz+/PlpbGzMhAkTVrnPrFmzyrcgAAAAAGpCzRRg3bt3z5IlSyq9DAAAAABqTFX+FkgAAAAAaCsKMAAAAAAKTQEGAAAAQKEpwAAAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABRah0ovoOh6Dtqh0kvYINTqnGt13bWoVmddq+uuNbU651pdd60p15wdz7a3qpmaddsz6/Ix6/Ix6/IxU8qhrqmpqanSiwAAAACA9cVHIAEAAAAoNAUYAAAAAIWmAAMAAACg0BRgAAAAABSaAgwAAACAQlOAAQAAAFBoCjAAAAAACk0BBgAAAEChKcAAAAAAKDQFGAAAAACFpgADAAAAoNAUYAAAAAAUmgIMAAAAgEJTgAEAAABQaAowAAAAAApNAQYAAABAoSnAAAAAACg0BRgAAAAAhfb/AQpOHdmVdFduAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circuit.decompose().draw(\"mpl\", style=\"iqx\")" + ] + }, + { + "cell_type": "markdown", + "id": "9cda2da4", + "metadata": {}, + "source": [ + "... and with a further decomposition we see the individual gates." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "d5396fb9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circuit.decompose().decompose().draw(\"mpl\", style=\"iqx\")" + ] + }, + { + "cell_type": "markdown", + "id": "bddac46a", + "metadata": {}, + "source": [ + "### Higher order Trotter formulas\n", + "\n", + "Qiskit supports different orders of the product formula, such as first order (`LieTrotter`) or order $2n$ (`SuzukiTrotter`)." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "44f1001b", + "metadata": {}, + "outputs": [], + "source": [ + "from qiskit.synthesis.evolution import LieTrotter, SuzukiTrotter" + ] + }, + { + "cell_type": "markdown", + "id": "d0c92abb", + "metadata": {}, + "source": [ + "This also allows setting the number of Trotter steps." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "e20b2c13", + "metadata": {}, + "outputs": [], + "source": [ + "num_steps = 4" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "eceabe71", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "synthesis = SuzukiTrotter(order=2, reps=num_steps)\n", + "\n", + "evolution = PauliEvolutionGate(hamiltonian, time=time, synthesis=synthesis)\n", + "\n", + "circuit = QuantumCircuit(num_sites)\n", + "circuit.append(evolution, circuit.qubits)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "660cb45a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circuit.decompose().decompose().draw(\"mpl\", style=\"iqx\")" + ] + }, + { + "cell_type": "markdown", + "id": "cd92ae52", + "metadata": {}, + "source": [ + "### Backend gate count" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "b7abf172", + "metadata": {}, + "outputs": [], + "source": [ + "from qiskit import transpile\n", + "from qiskit.providers.fake_provider import FakeParis" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "daa07bad", + "metadata": {}, + "outputs": [], + "source": [ + "backend = FakeParis()\n", + "transpiled = transpile(circuit, backend)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "a3d822d4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "OrderedDict([('rz', 233), ('cx', 186), ('sx', 90)])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "transpiled.count_ops()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6fac7450", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}