{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Development notebook: Tests for QuTiP's stochastic master equation solver\n", "\n", "Copyright (C) 2011 and later, Paul D. Nation & Robert J. Johansson\n", "\n", "In this notebook we test the qutip stochastic master equation solver (smesolve) with a few textbook examples taken from the book Quantum Optics, by Walls and Milburn, section 6.7.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qutip import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Photo-count detection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Theory\n", "\n", "Stochastic master equation in Milburn's formulation\n", "\n", "$\\displaystyle d\\rho(t) = dN(t) \\mathcal{G}[a] \\rho(t) - dt \\gamma \\mathcal{H}[\\frac{1}{2}a^\\dagger a] \\rho(t)$\n", "\n", "where\n", "\n", "$\\displaystyle \\mathcal{G}[A] \\rho = \\frac{A\\rho A^\\dagger}{\\mathrm{Tr}[A\\rho A^\\dagger]} - \\rho$\n", "\n", "$\\displaystyle \\mathcal{H}[A] \\rho = \\frac{1}{2}(A\\rho + \\rho A^\\dagger - \\mathrm{Tr}[A\\rho + \\rho A^\\dagger] \\rho) $\n", "\n", "and $dN(t)$ is a Poisson distributed increment with $E[dN(t)] = \\gamma \\langle a^\\dagger a\\rangle (t)dt$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formulation in QuTiP\n", "\n", "In QuTiP we write the stochastic master equation on the form (in the interaction picture, with no deterministic dissipation):\n", "\n", "$\\displaystyle d\\rho(t) = D_{1}[A]\\rho(t) dt + D_{2}[A]\\rho(t) dW$\n", "\n", "where $A = \\sqrt{\\gamma} a$, so we can identify\n", "\n", "$\\displaystyle D_{1}[A]\\rho(t) = - \\frac{1}{2}\\gamma \\mathcal{H}[a^\\dagger a] \\rho(t)\n", "= -\\gamma \\frac{1}{2}\\left( a^\\dagger a\\rho + \\rho a^\\dagger a - \\mathrm{Tr}[a^\\dagger a\\rho + \\rho a^\\dagger a] \\rho \\right)\n", "= -\\frac{1}{2}\\left( A^\\dagger A\\rho + \\rho A^\\dagger A - \\mathrm{Tr}[A^\\dagger A\\rho + \\rho A^\\dagger A] \\rho \\right)$\n", "\n", "$\\displaystyle D_{2}[A]\\rho(t) = \\mathcal{G}[a] \\rho = \\frac{A\\rho A^\\dagger}{\\mathrm{Tr}[A\\rho A^\\dagger]} - \\rho$\n", "\n", "and \n", "\n", "$dW = dN(t)$\n", "\n", "and $A = \\sqrt{\\gamma} a$ is the collapse operator including the rate of the process as a coefficient in the operator." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reference solution: deterministic master equation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "N = 10\n", "w0 = 0.5 * 2 * np.pi\n", "times = np.linspace(0, 15, 150)\n", "dt = times[1] - times[0]\n", "gamma = 0.25\n", "A = 2.5\n", "ntraj = 50\n", "nsubsteps = 50" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "a = destroy(N)\n", "x = a + a.dag()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "H = w0 * a.dag() * a" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#rho0 = coherent(N, 5)\n", "rho0 = fock(N, 5)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "c_ops = [np.sqrt(gamma) * a]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "e_ops = [a.dag() * a, x]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, rho0, times, c_ops, e_ops)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values(result_ref);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solve using stochastic master equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{1}[a, \\rho] = -\\gamma \\frac{1}{2}\\left( a^\\dagger a\\rho + \\rho a^\\dagger a - \\mathrm{Tr}[a^\\dagger a\\rho + \\rho a^\\dagger a] \\right)\n", "\\rightarrow - \\frac{1}{2}(\\{A^\\dagger A\\}_L + \\{A^\\dagger A\\}_R)\\rho_v + \\mathrm{E}[(\\{A^\\dagger A\\}_L + \\{A^\\dagger A\\}_R)\\rho_v]$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{2}[A, \\rho(t)] = \\frac{A\\rho A^\\dagger}{\\mathrm{Tr}[A\\rho A^\\dagger]} - \\rho \n", "\\rightarrow \\frac{A_LA^\\dagger_R \\rho_v}{\\mathrm{E}[A_LA^\\dagger_R \\rho_v]} - \\rho_v$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using QuTiP built-in photo-current detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 0.52s. Est. time left: 00:00:00:04\n", "20.0%. Run time: 1.11s. Est. time left: 00:00:00:04\n", "30.0%. Run time: 1.66s. Est. time left: 00:00:00:03\n", "40.0%. Run time: 2.34s. Est. time left: 00:00:00:03\n", "50.0%. Run time: 2.95s. Est. time left: 00:00:00:02\n", "60.0%. Run time: 3.51s. Est. time left: 00:00:00:02\n", "70.0%. Run time: 4.09s. Est. time left: 00:00:00:01\n", "80.0%. Run time: 4.64s. Est. time left: 00:00:00:01\n", "90.0%. Run time: 5.27s. Est. time left: 00:00:00:00\n", "Total run time: 5.85s\n" ] } ], "source": [ "result = photocurrent_mesolve(H, rho0, times, c_ops=[], sc_ops=c_ops, e_ops=e_ops, \n", " ntraj=ntraj, nsubsteps=nsubsteps,\n", " store_measurement=True, noise=1234)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.step(times, dt * m.real)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, with the same noise as the previous run\n", "photocurrentmesolve does not take custom noise, but you can set the seed." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 0.53s. Est. time left: 00:00:00:04\n", "20.0%. Run time: 1.04s. Est. time left: 00:00:00:04\n", "30.0%. Run time: 1.98s. Est. time left: 00:00:00:04\n", "40.0%. Run time: 2.59s. Est. time left: 00:00:00:03\n", "50.0%. Run time: 3.19s. Est. time left: 00:00:00:03\n", "60.0%. Run time: 3.69s. Est. time left: 00:00:00:02\n", "70.0%. Run time: 4.28s. Est. time left: 00:00:00:01\n", "80.0%. Run time: 4.80s. Est. time left: 00:00:00:01\n", "90.0%. Run time: 5.57s. Est. time left: 00:00:00:00\n", "Total run time: 6.07s\n" ] } ], "source": [ "result = photocurrent_mesolve(H, rho0, times, c_ops=[], sc_ops=c_ops, e_ops=e_ops, \n", " ntraj=ntraj, nsubsteps=nsubsteps, store_measurement=True, noise=1234)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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smlnBGbMqmD99IgUxhbzIWKdQFxmN3KFzM2x7Ht/2PD0blxHd/jyF8Y49TVoiVbyYqOWlVB3rItPJqzmRvMqZuEWJGFSXFVI3qYijKkqYU1NGVM+4Fwk9hbpIrnCHru2wY0Vmeolk84tY6xoingSgj3zW2zSaqGfFQDVrvZa1qRp2F07m9KOrOHvOZC48YQrj8nVULxJGCnWRXJfoh5amPUHPjhWwfQX07NzTZMAKWcdUViWmsDlaS+WMk6iddRLl046jdlLpkGPMj8uL6uheJMcMN9Q1ooXIaBUrgCknpqfBulthZxO0NJHf0sRxO5s4qnkVBT2Pw4bbYQMMeJQNPoW1XsNar2VdqoYNXs1Gn0xvtITaiUXUlRdx7vGTufikGkoL84Lpo4hklY7URcKiv4vebatofeUF+ptfJta2mgnd6ynt3UqE1J5mPbEJbI/VsDZRxYu9FTRHa6g5+njKa4+jevJkyosL3vAsnbxohLk1ZUMe+YvI4afT7yKSFu+DtvWZaV163roOb9uA7dryuqatXspGn5w+qk9Vs8mr2OIVbPYqrHQy71swnQtOnEJh5o78itICSjSErchhp9PvIpKWVwiT56SnQQwg3gvtr0DrOnp3rMG2r+ao9g3M6VpHYc/jr2sfj+ex5fFytjxWyWavZItXss2qKK6cwfSjZ1M3vZ66SaVMn1SksepFAqIjdREZWrwv/fO7jo3QsQnaN9LTsoG+lg0U9WylsL/1dc37PY8tXsE2KugbV01RxXQm1x5F3YyZ5JfXQVkNFJTpOfkih0BH6iIyMnmFUDErPWUUZSYABnoyob+Jvpb1dG1fz7jWjczs3ERBzzImbHmQyFaHp/+yy3i0iHhJDfHiauJFU0iU1lBcWUdJRR1WVgOl1TCuHCK6di9yKBTqInJo8oug8lioPJbCWVC41+bdPb0sX/UyTatfZvum9VjXViYnWqkeaKOmvZlqe4kqOojY688WJojSFSsnb/wUiifVYKXVUFINJVXp0H/tdclkiOUfuf6K5ACdfheRIyKRTNHc2ceW9l4SqfTd+P39/bRt30TXqxuJdW+nLNFK0UArvW3bmJhqY2peF1XWQWmyA+ONf6tS48qx0mqspCod9sUVUDQJiiszryugOLOcX6JT/5KzdPpdREaVWDTCtPIippUXvX7D3Fpg4etW9Qwk+MMLzfzshWY27OxmR0cXE1KdVFoHVZmpkg6qEh3U9HRS09pMpa2iLNVJfqpv6AKiBfsP/aIKKCqHcRPTU+EEnQmQnKMjdREZ9RLJFB29cSD9VN2OngE2tvawqS09bW7rYWNmboleJrGLSbaLctvFJLqoK+zm+PFxpuZ3M5FdjE91UBhvx7pbId697w/OL82E/IS/hP1wpry9L0aIjIyO1EUkNGLRCBUlBXuWK0sLmDW59A3tUimnZXc/bd0DACRTzsrmXTyxdie/Wd/G9ua/HMUfX1PGB95ex6K6ImJ9bUR7W4n0txPt6yDS30Gkr51IXweFiU4K4rugtx1eXZme97ZDKrGfgsdB4XgoLEvf8T94XjgeCvaxreC17WUQ1Z9nOXg6UheRMaNnIMGW9l6eXt/KbU9v4uXtXcN633HVpZw5q4K68qL0dXl3YskeCuKd5Mc7M/NdlKW6qIz1UG67yUvsxvp3YX2d0L8r/XqgC+vbBYneA39oXvFfgr6gFPKL/zLPL4GCkvQ8vySzbdDy3tvyi3U/QY7TE+VERPbD3Vm+pZMNO3fvt922jj6eWLuTxlfaGUim9tt2OKrLCpkxMY/qwgGKUt2MGzSV0E11/gCT8/spsx7yEruJxbuIJbqJxruJJXvIT/aQl+zFBnZjyf5hfqrtFf7F6UsL+UWQNw7y9p6PS3+peMO6vdrlZ9rECvWl4TBTqIuIZFFfPElX335OuQOdvXE2t6ev7ffFk2/Y3jOQZHNbL5vauofc10Ayxdb2XvoTB/7ykB+LUGBJiuijriTForpCGqYUUJk/QDTeTSTzRWDPPN5DNL6bQu+jiF6i8W6I96SfKrhn3gsD3TDELw0OaMgvBkXpgYlihcOY77UuWjC8tmPkMkVOXVM3s/OAHwBR4CZ3vz7gkkREXqcwL0ph3v7Hq68sLWBmVcmIPieVcnbu7qc1c1/AYMmU09zZx6a2Hl7d1YeTPuOwYWcPN73cyveXJ4AIUJqZ9q2qtGBPf2JRY2r5OOrKi5hUnE/M48SSveSl+oil+shLZuapPmLJviHXVxWmmFrsFHj/G78s9LanhxJO9L1+Hu/lkL5ADGbRQV8E8jNTXnoey3/juj2vC4ZYl3+I78uDyGvzWHp9QUn6cskRFniom1kU+BFwDrAFWGpmi919ZbCViYgceZGIUVVWSFXZ0HfQz506fsj18WSKl7btoqsvvs99u0N7zwCbWnvY3N5DPJkO1P5Ekq3tvdz7YjMdPUO9P8JezxMcunaDOTVlzKwsoa6yiMrSgv2flnfHPEE0NUA01U80mZmn+tPrkv17tkX2LPe/oX0kNUAs1U8klSCSGiCSihPxONFEnMhAgogPEEl1Ex20LZJKT1GP73lfNDUw5PMQDkXi1L8mdsG3s7KvgxF4qAOnAmvdfT2Amd0OXAIo1EVEhikvGuHkaRMC+ex4MsXyzR08vnYnS19po3FjO4uXbyM14nwsyExH7og3Qoo8EuSTIC8z5Vs8s5wctC4zJ06MJHkk03NLt5vVOY+PHLGq/2I0hPpUYPOg5S3AaQHVIiIiBykvGqGhvpyG+vI96+LJ1D6O+nNLd3+Cze3p5yF09+//norBjt3HGZXDbTSE+rCY2TXANQB1dXUBVyMiIvuTF42kT7/nuMrSAuorioMuY9hGw1BIW4Fpg5ZrM+tex91vdPcGd2+orKw8YsWJiIjkitEQ6kuBWWY2w8zygcuBxQHXJCIiknNGxe/UzewC4Pukf9L2M3f/1wO0bwE2ZrGECmBnFvc3WqhfuUX9yj1h7Zv6NfpMd/cDnqYeFaEeNDNrHM6P+nON+pVb1K/cE9a+qV+5azScfhcREZEsUKiLiIiEhEI97cagCzhM1K/con7lnrD2Tf3KUbqmLiIiEhI6UhcREQkJhbqIiEhIKNRFRERCQqEuIiISEgp1ERGRkFCoi4iIhIRCXUREJCQU6iIiIiGhUBcREQkJhbqIiEhIKNRFRERCQqEuIiISEgp1ERGRkFCoi4iIhEQs6AIORUVFhdfX1wddhoiIyBGxbNmyne5eeaB2WQl1MzsP+AEQBW5y9+v32l4A/BKYD7QC73f3V8ysHlgFNGWaPuXu1x7o8+rr62lsbMxG6SIiIqOemW0cTrsRh7qZRYEfAecAW4ClZrbY3VcOavYxoN3dZ5rZ5cC3gPdntq1z95NHWoeIiMhYl41r6qcCa919vbsPALcDl+zV5hLgF5nXdwJvNzPLwmeLiIhIRjZCfSqwedDylsy6Idu4ewLoBCZlts0ws+fM7BEzO3NfH2Jm15hZo5k1trS0ZKFsERGRcAn67vdmoM7d5wGfBX5tZmVDNXT3G929wd0bKisPeK+AiIjImJONUN8KTBu0XJtZN2QbM4sB44FWd+9391YAd18GrAOOyUJNIiIiY042Qn0pMMvMZphZPnA5sHivNouBKzOvLwMecnc3s8rMjXaY2VHALGB9FmoSEREZc0Z897u7J8zsU8D9pH/S9jN3f8nMvgY0uvti4GbgVjNbC7SRDn6As4CvmVkcSAHXunvbSGsSEREZi8zdg67hoDU0NLh+py4iImOFmS1z94YDtQv6RjkRERHJEoW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhJZCXUzO8/MmsxsrZldN8T2AjO7I7P9aTOrH7Tti5n1TWb2jmzUIyIiMhaNONTNLAr8CDgfmAN8wMzm7NXsY0C7u88Evgd8K/PeOcDlwPHAecCPM/sTERGRgxTLwj5OBda6+3oAM7sduARYOajNJcBXM6/vBH5oZpZZf7u79wMbzGxtZn9/zkJdw/LUj6+mtGPVkfo4EREZA7omzOZNn/jpEf/cbJx+nwpsHrS8JbNuyDbungA6gUnDfC8AZnaNmTWaWWNLS0sWyhYREQmXbBypHxHufiNwI0BDQ4Nna79BfJMSERE5HLJxpL4VmDZouTazbsg2ZhYDxgOtw3yviIiIDEM2Qn0pMMvMZphZPukb3xbv1WYxcGXm9WXAQ+7umfWXZ+6OnwHMAp7JQk0iIiJjzohPv7t7wsw+BdwPRIGfuftLZvY1oNHdFwM3A7dmboRrIx38ZNr9lvRNdQngk+6eHGlNIiIiY5GlD5hzS0NDgzc2NgZdhoiIyBFhZsvcveFA7fREORERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhoVAXEREJCYW6iIhISCjURUREQkKhLiIiEhIKdRERkZBQqIuIiISEQl1ERCQkFOoiIiIhMaJQN7NyM1tiZmsy84n7aHdlps0aM7ty0PqHzazJzJ7PTFUjqUdERGQsG+mR+nXA/7r7LOB/M8uvY2blwFeA04BTga/sFf4fcveTM9OrI6xHRERkzBppqF8C/CLz+hfAu4Zo8w5gibu3uXs7sAQ4b4SfKyIiInsZaahPdvfmzOvtwOQh2kwFNg9a3pJZ95pbMqfev2xmtq8PMrNrzKzRzBpbWlpGWLaIiEj4xA7UwMweBKqH2PSPgxfc3c3MD/LzP+TuW82sFLgLuAL45VAN3f1G4EaAhoaGg/0cERGR0DtgqLv72fvaZmY7zGyKuzeb2RRgqGviW4G3DFquBR7O7HtrZt5lZr8mfc19yFAXERGR/Rvp6ffFwGt3s18J/H6INvcD55rZxMwNcucC95tZzMwqAMwsD7gIWDHCekRERMaskYb69cA5ZrYGODuzjJk1mNlNAO7eBvwLsDQzfS2zroB0uL8APE/6iP6nI6xHRERkzDL33Ls8bWYtwMYs7rIC2JnF/Y0W6lduUb9yT1j7pn6NPtPdvfJAjXIy1LPNzBrdvSHoOrJN/cot6lfuCWvf1K/cpcfEioiIhIRCXUREJCQU6mk3Bl3AYaJ+5Rb1K/eEtW/qV47SNXUREZGQ0JG6iIhISIzpUDez8zJDv641szeMMJerzGyamf3JzFaa2Utm9umga8omM4ua2XNm9oega8kWM5tgZnea2ctmtsrMTg+6pmwws7/P/BtcYWa/MbPCoGs6FGb2MzN71cxWDFo3rKGnR7N99OvfMv8OXzCz35nZhCBrPFRD9W3Qtn8wM3/tAWhhMmZD3cyiwI+A84E5wAfMbE6wVWVNAvgHd58DvAn4ZIj6BvBpYFXQRWTZD4D73P044CRC0D8zmwr8HdDg7nOBKHB5sFUdsp/zxtElDzj0dA74OW/s1xJgrrufCKwGvniki8qSnzPEiKBmNo30k003HemCjoQxG+qknzO/1t3Xu/sAcDvpoWRznrs3u/uzmdddpANi6v7flRvMrBa4ELgp6FqyxczGA2cBNwO4+4C7dwRbVdbEgHFmFgOKgG0B13NI3P1RoG2v1cMZenpUG6pf7v6Auycyi0+RHq8j5+zjvxnA94AvAKG8oWwsh/qBhoQNBTOrB+YBTwdbSdZ8n/T/kKmgC8miGUAL6WGInzOzm8ysOOiiRiozYNN3SB8RNQOd7v5AsFVl1XDPM/82AAADhklEQVSGns51HwX+GHQR2WJmlwBb3X150LUcLmM51EPPzEpID2n7GXffFXQ9I2VmFwGvuvuyoGvJshhwCvATd58HdJObp3JfJ3ON+RLSX1pqgGIz+3CwVR0env4ZUaiO/MzsH0lfyrst6FqywcyKgC8B/zfoWg6nsRzqW4Fpg5ZrM+tCITPy3V3Abe5+d9D1ZMki4GIze4X05ZK3mdmvgi0pK7YAW9z9tbMpd5IO+Vx3NrDB3VvcPQ7cDSwMuKZs2pEZcpr9DD2dk8zsKtIjZ37Iw/O756NJf8FcnvkbUgs8a2bVgVaVZWM51JcCs8xshpnlk76BZ3HANWWFmRnp67Or3P27QdeTLe7+RXevdfd60v+9HnL3nD/yc/ftwGYzOzaz6u3AygBLypZNwJvMrCjzb/LthOAGwEGGM/R0zjGz80hf4rrY3XuCridb3P1Fd69y9/rM35AtwCmZ//9CY8yGeuZGkE+RHu99FfBbd38p2KqyZhFwBekj2ecz0wVBFyX79bfAbZmhiE8GvhFwPSOWOfNwJ/As8CLpvzc5+UQvM/sN8GfgWDPbYmYfYx9DT+eSffTrh0ApsCTzt+OGQIs8RPvoW+jpiXIiIiIhMWaP1EVERMJGoS4iIhISCnUREZGQUKiLiIiEhEJdREQkJBTqIgKAmdWZ2e7MYEcikoMU6iJjmJm9YmZnA7j7Jncvcfdk0HWJyKFRqIuIiISEQl1kjDKzW4E64J7MafcvmJlnhknFzB42s6+b2ZOZ7feY2SQzu83MdpnZ0swogK/t7zgzW2JmbWbWZGbvC6ZnImOXQl1kjHL3K0g/n/2d7l4C/HaIZpeTfuTwVNIDYvwZuAUoJ/145a8AZIaKXQL8GqjKvO/HZjbnMHdDRAZRqIvI/tzi7uvcvZP0uNrr3P3BzNgJ/wXMy7S7CHjF3W9x94S7P0d6lMD3BlO2yNgUC7oAERnVdgx63TvEcknm9XTgNDPrGLQ9Btx6eMsTkcEU6iJjW7ZGdNoMPOLu52RpfyJyCHT6XWRs2wEclYX9/AE4xsyuMLO8zLTAzGZnYd8iMkwKdZGx7ZvAP2VOm192qDtx9y7gXNI3yG0DtgPfAgqyUaSIDI/GUxcREQkJHamLiIiEhEJdREQkJBTqIiIiIaFQFxERCQmFuoiISEgo1EVEREJCoS4iIhISCnUREZGQUKiLiIiExP8HRqx0c0PiKQwAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.step(times, dt * m.real)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Homodyne detection" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "H = w0 * a.dag() * a + A * (a + a.dag())" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, rho0, times, c_ops, e_ops)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Theory\n", "\n", "Stochastic master equation for homodyne in Milburn's formulation\n", "\n", "$\\displaystyle d\\rho(t) = -i[H, \\rho(t)]dt + \\gamma\\mathcal{D}[a]\\rho(t) dt + dW(t) \\sqrt{\\gamma} \\mathcal{H}[a] \\rho(t)$\n", "\n", "where $\\mathcal{D}$ is the standard Lindblad dissipator superoperator, and $\\mathcal{H}$ is defined as above,\n", "and $dW(t)$ is a normal distributed increment with $E[dW(t)] = \\sqrt{dt}$.\n", "\n", "In QuTiP format we have:\n", "\n", "$\\displaystyle d\\rho(t) = -i[H, \\rho(t)]dt + D_{1}[A]\\rho(t) dt + D_{2}[A]\\rho(t) dW$\n", "\n", "where $A = \\sqrt{\\gamma} a$, so we can identify" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{1}[A]\\rho(t) = \\gamma \\mathcal{D}[a]\\rho(t) = \\mathcal{D}[A]\\rho(t)$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "L = liouvillian(H, c_ops=c_ops).data\n", "def d1_rho_func(t, rho_vec):\n", " return cy.spmv(L, rho_vec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{2}[A]\\rho(t) = \\sqrt{\\gamma} \\mathcal{H}[a]\\rho(t) \n", "= A\\rho + \\rho A^\\dagger - \\mathrm{Tr}[A\\rho + \\rho A^\\dagger] \\rho\n", "\\rightarrow (A_L + A_R^\\dagger)\\rho_v - \\mathrm{Tr}[(A_L + A_R^\\dagger)\\rho_v] \\rho_v$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "n_sum = spre(c_ops[0]) + spost(c_ops[0].dag())\n", "n_sum_data = n_sum.data\n", "\n", "def d2_rho_func(t, rho_vec):\n", " e1 = cy.cy_expect_rho_vec(n_sum_data, rho_vec, False)\n", " out = np.zeros((1,len(rho_vec)),dtype=complex)\n", " out += cy.spmv(n_sum_data, rho_vec) - e1 * rho_vec\n", " return out" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 8.20s. Est. time left: 00:00:01:13\n", "20.0%. Run time: 15.30s. Est. time left: 00:00:01:01\n", "30.0%. Run time: 25.41s. Est. time left: 00:00:00:59\n", "40.0%. Run time: 33.66s. Est. time left: 00:00:00:50\n", "50.0%. Run time: 40.31s. Est. time left: 00:00:00:40\n", "60.0%. Run time: 48.43s. Est. time left: 00:00:00:32\n", "70.0%. Run time: 56.63s. Est. time left: 00:00:00:24\n", "80.0%. Run time: 66.07s. Est. time left: 00:00:00:16\n", "90.0%. Run time: 72.94s. Est. time left: 00:00:00:08\n", "100.0%. Run time: 79.44s. Est. time left: 00:00:00:00\n", "Total run time: 79.46s\n" ] } ], "source": [ "result = general_stochastic(ket2dm(rho0), times, d1=d1_rho_func, d2=d2_rho_func, \n", " e_ops=[spre(op) for op in e_ops], ntraj=ntraj, solver=\"platen\",\n", " m_ops=[spre(a + a.dag())], dW_factors=[1/np.sqrt(gamma)],\n", " nsubsteps=nsubsteps, store_measurement=True, map_func=parallel_map)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real, 'b', alpha=0.025)\n", " \n", "plt.plot(times, result_ref.expect[1], 'k', lw=2);\n", "plt.ylim(-15, 15)\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real, 'r', lw=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using QuTiP built-in homodyne detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 2.19s. Est. time left: 00:00:00:19\n", "20.0%. Run time: 3.66s. Est. time left: 00:00:00:14\n", "30.0%. Run time: 4.94s. Est. time left: 00:00:00:11\n", "40.0%. Run time: 6.23s. Est. time left: 00:00:00:09\n", "50.0%. Run time: 7.52s. Est. time left: 00:00:00:07\n", "60.0%. Run time: 8.99s. Est. time left: 00:00:00:05\n", "70.0%. Run time: 10.36s. Est. time left: 00:00:00:04\n", "80.0%. Run time: 11.65s. Est. time left: 00:00:00:02\n", "90.0%. Run time: 12.92s. Est. time left: 00:00:00:01\n", "Total run time: 14.22s\n" ] } ], "source": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps, solver=\"pc-euler\",\n", " method='homodyne', store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real / np.sqrt(gamma), 'b', alpha=0.025)\n", " \n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real / np.sqrt(gamma), 'r', lw=2);\n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 1.36s. Est. time left: 00:00:00:12\n", "20.0%. Run time: 2.67s. Est. time left: 00:00:00:10\n", "30.0%. Run time: 4.13s. Est. time left: 00:00:00:09\n", "40.0%. Run time: 5.47s. Est. time left: 00:00:00:08\n", "50.0%. Run time: 6.82s. Est. time left: 00:00:00:06\n", "60.0%. Run time: 8.62s. Est. time left: 00:00:00:05\n", "70.0%. Run time: 9.94s. Est. time left: 00:00:00:04\n", "80.0%. Run time: 11.32s. Est. time left: 00:00:00:02\n", "90.0%. Run time: 12.64s. Est. time left: 00:00:00:01\n", "Total run time: 16.34s\n" ] } ], "source": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps, solver=\"pc-euler\",\n", " method='homodyne', store_measurement=True, noise=result.noise)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real / np.sqrt(gamma), 'b', alpha=0.025)\n", " \n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real / np.sqrt(gamma), 'r', lw=2);\n", "plt.plot(times, result_ref.expect[1], 'k', lw=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heterodyne detection" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "e_ops = [a.dag() * a, a + a.dag(), -1j * (a - a.dag())]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "result_ref = mesolve(H, rho0, times, c_ops, e_ops)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stochastic master equation for heterodyne in Milburn's formulation\n", "\n", "$\\displaystyle d\\rho(t) = -i[H, \\rho(t)]dt + \\gamma\\mathcal{D}[a]\\rho(t) dt + \\frac{1}{\\sqrt{2}} dW_1(t) \\sqrt{\\gamma} \\mathcal{H}[a] \\rho(t) + \\frac{1}{\\sqrt{2}} dW_2(t) \\sqrt{\\gamma} \\mathcal{H}[-ia] \\rho(t)$\n", "\n", "where $\\mathcal{D}$ is the standard Lindblad dissipator superoperator, and $\\mathcal{H}$ is defined as above,\n", "and $dW_i(t)$ is a normal distributed increment with $E[dW_i(t)] = \\sqrt{dt}$.\n", "\n", "In QuTiP format we have:\n", "\n", "$\\displaystyle d\\rho(t) = -i[H, \\rho(t)]dt + D_{1}[A]\\rho(t) dt + D_{2}^{(1)}[A]\\rho(t) dW_1 + D_{2}^{(2)}[A]\\rho(t) dW_2$\n", "\n", "where $A = \\sqrt{\\gamma} a$, so we can identify" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{1}[A]\\rho = \\gamma \\mathcal{D}[a]\\rho = \\mathcal{D}[A]\\rho$" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "#def d1_rho_func(A, rho_vec):\n", "# return A[7] * rho_vec\n", "\n", "L = liouvillian(H, c_ops=c_ops).data\n", "def d1_rho_func(t, rho_vec):\n", " return cy.spmv(L, rho_vec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$D_{2}^{(1)}[A]\\rho = \\frac{1}{\\sqrt{2}} \\sqrt{\\gamma} \\mathcal{H}[a] \\rho =\n", "\\frac{1}{\\sqrt{2}} \\mathcal{H}[A] \\rho =\n", "\\frac{1}{\\sqrt{2}}(A\\rho + \\rho A^\\dagger - \\mathrm{Tr}[A\\rho + \\rho A^\\dagger] \\rho)\n", "\\rightarrow \\frac{1}{\\sqrt{2}} \\left\\{(A_L + A_R^\\dagger)\\rho_v - \\mathrm{Tr}[(A_L + A_R^\\dagger)\\rho_v] \\rho_v\\right\\}$\n", "\n", "$D_{2}^{(2)}[A]\\rho = \\frac{1}{\\sqrt{2}} \\sqrt{\\gamma} \\mathcal{H}[-ia] \\rho \n", "= \\frac{1}{\\sqrt{2}} \\mathcal{H}[-iA] \\rho =\n", "\\frac{-i}{\\sqrt{2}}(A\\rho - \\rho A^\\dagger - \\mathrm{Tr}[A\\rho - \\rho A^\\dagger] \\rho)\n", "\\rightarrow \\frac{-i}{\\sqrt{2}} \\left\\{(A_L - A_R^\\dagger)\\rho_v - \\mathrm{Tr}[(A_L - A_R^\\dagger)\\rho_v] \\rho_v\\right\\}$" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "n_sump = spre(c_ops[0]) + spost(c_ops[0].dag())\n", "n_sump_data = n_sump.data/np.sqrt(2)\n", "n_summ = spre(c_ops[0]) - spost(c_ops[0].dag())\n", "n_summ_data = -1.0j*n_summ.data/np.sqrt(2)\n", "\n", "def d2_rho_func(A, rho_vec):\n", " out = np.zeros((2,len(rho_vec)),dtype=complex)\n", "\n", " e1 = cy.cy_expect_rho_vec(n_sump_data, rho_vec, False)\n", " out[0,:] += cy.spmv(n_sump_data, rho_vec) - e1 * rho_vec\n", "\n", " e1 = cy.cy_expect_rho_vec(n_summ_data, rho_vec, False)\n", " out[1,:] += cy.spmv(n_summ_data, rho_vec) - e1 * rho_vec\n", "\n", " return out\n", "\n", "\n", "\n", "#def d2_rho_func(t, rho_vec):\n", "# e1 = cy.cy_expect_rho_vec(n_sum_data, rho_vec, False)\n", "# out = np.zeros((1,len(rho_vec)),dtype=complex)\n", "# out += cy.spmv(n_sum_data, rho_vec) - e1 * rho_vec\n", "# return out" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 23.13s. Est. time left: 00:00:03:28\n", "20.0%. Run time: 38.60s. Est. time left: 00:00:02:34\n", "30.0%. Run time: 58.09s. Est. time left: 00:00:02:15\n", "40.0%. Run time: 72.07s. Est. time left: 00:00:01:48\n", "50.0%. Run time: 89.31s. Est. time left: 00:00:01:29\n", "60.0%. Run time: 103.07s. Est. time left: 00:00:01:08\n", "70.0%. Run time: 121.63s. Est. time left: 00:00:00:52\n", "80.0%. Run time: 138.52s. Est. time left: 00:00:00:34\n", "90.0%. Run time: 152.94s. Est. time left: 00:00:00:16\n", "100.0%. Run time: 165.88s. Est. time left: 00:00:00:00\n", "Total run time: 165.96s\n" ] } ], "source": [ "result = general_stochastic(ket2dm(rho0), times, d1=d1_rho_func, d2=d2_rho_func, \n", " e_ops=[spre(op) for op in e_ops], solver=\"platen\", # order=1\n", " ntraj=ntraj, nsubsteps=nsubsteps, len_d2=2,\n", " m_ops=[spre(a + a.dag()), (-1j)*spre(a - a.dag())],\n", " dW_factors=[2/np.sqrt(gamma), 2/np.sqrt(gamma)],\n", " store_measurement=True, map_func=parallel_map)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " array([[],\n", " [],\n", " []],\n", " dtype=object))" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0].real, 'r', alpha=0.025)\n", " plt.plot(times, m[:, 1].real, 'b', alpha=0.025)\n", "\n", "plt.ylim(-20, 20)\n", " \n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0].real, 'r', lw=2);\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,1].real, 'b', lw=2);\n", "\n", "plt.plot(times, result_ref.expect[1], 'k', lw=2);\n", "plt.plot(times, result_ref.expect[2], 'k', lw=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using QuTiP built-in heterodyne detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 1.90s. Est. time left: 00:00:00:17\n", "20.0%. Run time: 4.26s. Est. time left: 00:00:00:17\n", "30.0%. Run time: 7.62s. Est. time left: 00:00:00:17\n", "40.0%. Run time: 10.65s. Est. time left: 00:00:00:15\n", "50.0%. Run time: 13.26s. Est. time left: 00:00:00:13\n", "60.0%. Run time: 15.16s. Est. time left: 00:00:00:10\n", "70.0%. Run time: 18.11s. Est. time left: 00:00:00:07\n", "80.0%. Run time: 20.96s. Est. time left: 00:00:00:05\n", "90.0%. Run time: 23.19s. Est. time left: 00:00:00:02\n", "Total run time: 26.30s\n" ] } ], "source": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps, solver=\"milstein\", # order=1\n", " method='heterodyne', store_measurement=True)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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kyQtYBrgBMrBAluXZtzpHBOb65VJOKaPnRWBpZsTaGZ1xtTGv0nnJuaVMXHSUSo2eDU93xc22audVW9xOWPsIsqznHR5nm9yJTc90xcnarObuWZIFMb/DhY2QckzZa/uqPNkGC3NTzHWlSNqKv85xCoTQMdBqPDj4AkrvevauOGbviqOVlz0LJ7XFtbZ+bwa2OjKFl389w9Sufrwpir8Iwi3VdmBuBDSSZfmEJEk2QBQwQpblmJudIwJz/XM6pYDxC47g72rFqkc7YW126yIpv59K4/XfzqGSYOkj7Qmr7eVL+cnw6yOQFslKfV/2eD/F/Ed6Gna+WauG2M1wYikk7lUS4pybQpNeRNKMlyOM0Fm5M29yJ0Ia2yrnqEuVufCUY5CwC5IOADI06QXdXwLfLoAy/P/C6lM4Wpmy9JH2+N/hSEVd0+ll+s3aR2J2KabGKva/1At3u4b5giEItaFOh7IlSfod+E6W5R03O0YE5vppz4Uspi2LpLO/0023qMwuruTjLedZdyKNtj4OzB7fGk8HyzpoLcqQ8u73kQ99Q6Zsz8nmrzJo7KP/2rXqjuUlKcH45AoozQI7L2h5P7QYg94l+FqPN9zHgfmT2uJ8q556QQqcXgXHFijX8u0Gfd4Cr/acSS1gyuLj6GWZRQ+3a1Brs7eeS+fx5Sd4eWAQX22/yAPtvXl/RIu6bpYg1Ft1FpglSfIF9gMtZFkuutlxIjDXX38OT9qYG9M/xJ1+IW642ppha27MrvNZfLs7ngqNjhk9/Xm2T2Dd7Jr1D3JqJKk/PYZXZTyF7p2w6/uSsnPVnQRodSnEboFTKyBht7JkrOlAaDsFAvqAyohytY4Xfz3NpjPpjGnryYcjW1R9K091GUQtgUNfKxt3tJ4Ifd/hUoUlkxcfI6uokiVT2tGhidPd/ApqlSzLDJ9ziMJyDbtn9uTN38+xJjKFPS/2rLuXNEGo5+okMEuSZA3sAz6UZXndDT5/FHgUwNvbu21ycrJB7isYXkRCDutOpLEtOoPiCu11n/Vp5srrQ4LvOEmsppWUV7B41uvcX7kWNykf3EKh5VhlCNmthVKX++9kGfISIfkQJOyBi1uVeWNbT2gzCcImgZ3HtcMzCit49KdIzqYV8srAZjza/S63oqwsUeqKH54DplbQ6w2ymz3I+B+Ok1FYwbKpHWjrU797zgfjcpi46CgfjQxlQgdvrhSU0/PzvYwM8+DTMS1vfwFB+A+q9cAsSZIJsBHYJsvyV7c7XvSYG4ZKrY5zaUUUVWgoqdDibmdeu9nPdyitoJwpCw/Stngnrzntxyb/apqDuT3YNgZLJ1AZQXEmFF9RdsICsHJRSn+GjgXvTv8K4mdSC5i+LJKSCi2zx4fRN+TfBVbuWPZF2PKSMnftFkpez48YtVFHbomaFdM70NLTQAVaDECWZaKvFBGVnE9ybhm7L2RSptZx4H+9ro0YvPNHNEsPX2JKZz9eGhCEhWnDzTYXhJpQ28lfErAUyJNl+bmqnCMCs1BTckoqeWjRMeKyipk3rDF9zc5DylEozYayXNBrlaIpNu7gGgK+XZWErpv0fjedSWfmmlM4WZnxw+RwghvZGq6xsqxkem97DYrSKAsZx7ikgSSXW7Hy0Y40b2xnuHtVtT2FqZAZDSUZVBRmcy4xhXNZalJLVeTJNiQb+aB1DODJ/i3p39z92qnlah0fbT7PT0eSaeJsxZf3t6r9hEBBqMdqOzB3BQ4AZ4E/6zi+Jsvy5pudIwKzUJOKKjRMXXKcqOR8PhoZyvi72HtalmW+2RXPrJ0XaevjwPe3S/KqDnWpslvX4e/Qm1gxSzeWVbo+LH+sG0HuNjVzT1ACcU6ckj2esBtSI5X66H9TKRtjJmn/caKkbFwS0A8C+4Nnu2ujDIfic3j51zNkFVfw4YhQ7m/nVXPtF4QGRBQYEf7zytU6ZqyIYm9sNq8Nbsb0blWfE76YWcxHm8+zNzabUW08+HhUaNWTvKojOxY2vwhJ+7lMI75TPcijjz1HgJsBg7MsQ/oppace8wfkJSg/dwoAn85UOrdgRbIdC06rsXNy57Px7WnlYaPMvxelQ/Z5pUedtF8ZiZD1yiYjrSZA6wng4ENhmYanVp7gQFwOU7r48vrg4HqRJCgIdUkEZkEA1Fo9L6w+xcYz6Qxs7s4HI1vcstebUVjB59tiWXcyFWtTY57v15QpXXxrt3SmLEPcdtRb38Q0L5Y4vHHo/RzOnSeC8V322PU6ZTOQ8xuUAimFKSAZgV93CB4KAX2R7X3YfDaD9zfGkFFUwUOdfHh1UPCt54rL8yFuh5LJnrhP+VnQYOg4A61XZz7aEsuPh5LoGeTCnAltsLrN2nhBuJeJwCwIV+n0MgsPJPLV9ovYmBvzxtBghoQ2vm6faJ1e5qfDl/hi+0XUOj0Pd/ZlRg//ut25Sq8j/eAySnZ/RSCX0Vk4Y9R8GDQbAr7dlU1GbqU4U+nRxu+EC5ugLEfZ3tO/t5Lo1mzItY1J4rNKeOePaA7G5xDSyJb3R7S488zwghSIWgyRi5XhcLdQ6DiDXyra89qGOIIb2fDjw+2qXFWuNun1Mok5JZxKKSQtvxwfJ0v8XazxdrTE1sJY1DQXDEIEZkH4h4uZxcxcfZqzaYU4WJowvLUHbrbmpOaXEZWcz4WMYroFOvPhiFC8nerPWtyYtEK+XriQB1Q76aE6hUpbDkZm4NIUXILB2hWMTJQecEkmFKVBbjwUXFYuYGqtzAMH3weB/cDsr2HxMrWWb3bFs+hgIuYmRrw0IIgHO/hgVJ3qaZpyOLMajsxThr2tXEjyHc+kMy3A2pWfpnbArzb30c5PVqqw5VyE3Dglua2iECoK0eplirXG5KqNSNU5cll25ZLszim9P9GyL5WYYqyScLI2pXczV57oGYCXY/35f0NoWERgFoQb0OllDsRl82tUKttjMlFr9ThYmuDtaMkjXf0Y1qpxvewdnU0tZMqS42gqS/muQyFdTS4iZV9Qtukszwed+mq2uSvYeoCDD3iEg1cHJUnrBkPgMVeKeGrlCRKzSxnT1pNXBjUzbHKbLCtLwY7Mg7ht6FWmbJQ7s0o1lLenj6+5pLaiK0oZ1Ev7lXnwP19QJBXY+6C38yZDY8H5fMgsUmOpUuNnC95GediWp2KkVuoi6SUTsmybE2vbicOqtvwYb4VOhpFhHjzZK6B2Xy6Ee4IIzIJwG6WVWmS4bU3w+iKruILnfznFofhchrVqzHvDm2NveedD7bIss/xIMu9vOo+9hQlfj2tN5wDnGmjx3+TEw9H56E+uQKUtI5IQXHo/hU/HEUqRleooyb4ahA/ApQPKaAEoa9d9uyrz6D6dqbT3Z8nRdBYeSCKnpBJPBwsmdPDm/nCv619IijOU7PTUY8q8efopAHS2Xhy16MrstGAidU24r5UnT/UOJMC1fhXaEeovEZgF4R6k08vM2xvP1zvjcLAy5cMRLa5bS3w7Z1ILeHdDDFHJ+fQMcuGLsa1qbgnYjZQXkH/wRyoj5uIuZ6MzMscosK9S8tQjXFlXbnSLFyW9TlnelX4K0qKUYJx9XvnM1AZ8OiuB2K/b1WpvRsiyzK7zWXywKYZLuWV0C3TmkS5+dG/qUrUh++IMiNsO5zcqS8r0GopMXFhfGc4WfXu69xnCoz2aVm/4/06V5UFWjDJikpcEhZehMA0qi5Sld9oKZJUJ5bIxxbIl+UZO5EgOpKo8uKTyJsnIl1Izd6zMjbG3MMXDwQJPBwuCG9nSzN2mXo4a3QtEYBaEe1j0lUJeXHOG8+lF9Atx44V+TW9a+ESWZU5czmf5kcusP5WGk5UpLw0IYmxbL8PuxHUHMgtKmLNkKf45exhleQobdbbygbEF2HkqxV8snQBZCcYVhUomeWEa6DXKsSZW4N1BCcS+3aFRq+uCen6pmnUn01h17DJxWSX4u1jx5tAQega53n3DKwohdiuc/wM5bgeSrpJs2Y4Tll1pPeAh3EL73vrF4m5o1ZBxFlKPX/3r2F/D8wAmlsomK3Ye6MzsyFGbkFigIzWnEJWuEgepjEZGBbiRi6NccO20XJUTZ41COKYLYnd5ALGyJzIq3G3N6dHUhZ5BLnQJdK5f+2zLMkgSFzKK2BGdyeW8MtIKysktUaPR6dHo9bjZmNPZ34lO/s6E+zpgUo+W6YnALAj3OLVWz8IDiczfm0BxpZbBoe509nfG08ECWwsTErNLicssZsf5TBKzS7E0NWJSRx+e6h2ATT34sq3U6nh3Qww/H01mhK+Gd9uUY5cfrQTg4kylSpukApUxmFkrAdvOU0l4a9xaqdam+vdSLlmWWROZyrsboilV62jtZc+E9t6MbONh2C/pymLki9u5cngVDmn7sJQqKTOyQwoeikVQb2V+387zzjZS0aqVEYD005B+5urfT4OuUvnc1gM8w6FxG2VEwC0EjaUb+y7m8NupNPbHZlNcqcXMWMWgFu7cH+5FxyZOf72AlRdA9gUl0F8+DMmHldK0gM7Mjgy7MCL0IazK8eNERSOMVEa09XFgQHN3BrRwx8PewnC/v38qyVJGAXITlBr2BZeVn5VmQXkBek05krYCPRIa2YhKTCiSbCkztqfMzJkcMy+yTb05XeHK9kwb8mVr3GzNeKC9Nw+09669veJvQQRmQfiPKCzT8MPBRJYcukRx5fUVukyNVLTysmNsWy+GtGxUL9cRrz6ewlt/nMPazJiv7m9N96Yud32t3JJKXvvtLNuiM+nUxIk3h4b8tU92DcrIyWPnhp+xTdxEb9VJrKVyAGRrNyTnpuDYRAnSZrZ/ZcVry5Udx4ozoChVCUZZF/4aETC1AfdQ8GijVFbzbHdtUxWdXibyUh5bozPYcPoKOSVqnK1N6RfiRq8gV7oEOFftv7UsQ0GyEqCTDyl/5SUCoDFzJMGqNTvKmrK10ItY2YtWPi5M6+pH/+budz90X1Go1InPPg+ZMZAVrfy9LOevY4zMwN4brZUbV7Q2XCg05lKhnnJMaWRrRoirOf4ORlhoCpXziq4oQ/p//u6ASjNH4vHhYGljYmQ/jBq3onXrtvRo5o6Xg2WdjBaJwCwI/zF6vUxWcSUp+WUUlmnwc7HCx9GyQVTcuphZzFM/n+BiZgnjwr2Y2b8prlXs4ej1MkeT8lgdmcLms+nIMrw0IIipXf1q/cs3MbuE7/fEkhRzjGaa87Q1TqKlZS4euiuYqvNvfJKJpdITtvcC95bKkHyjVuDgd63MaVpBOScv5xObUUxsRjFRyfnklqoxNVbRK8iFsW296BHkYpgRgYIUJYku6YCS1V6UCoBWZUYsPsSo3cm18CW0RUs6tAzG2LYRmFgowVSSlOVymjJltUBxulItLi9B6alnX4SSjOuf3TVYyS1waw6uwajt/dmXbsz6U+nsOK+snPB1smREmAcjWnvge7NseJ1WecnIiVOWxWXHQuY55IxoJL0agFLZjPOyDxfwI9u6GVZeLWnXrj2tmtTOtI4IzIIgNCjlah1f7YhlScQlTIxUTOvqx/AwD/z/tr2oVqensFxDYbmG9MIKdsRksvVcBhlFFdiYGTOsdWMe7uxLoCFLmN4FtVbPoYQctp7NYFtMBgVlGixUOsLcjGnrbkxwYzuCvVzwcXNCZW77r+FuvV7mcGIu606kcTghhyuFFQCoJPB1tqKlhx39QtzpEeRSs6sK/uxRp0ZCWhRyxlkqMy5gXpF9Z9cxtVHW3TsHgcvf/rL3BZXqWh7EbyfT2HgmnYIyDU5WptzXqjEjwjxo5Wl39wlpOo0SpNNPU5B4HHXqaewLz2OqL792SDaOVFh7YOPqh52bN5KFvZLVb+cJQYPu7r43IAKzIAgNUnJuKZ9uvcDms0rPys/ZCh8nS5Jzy0jJK0Or/+v7ytRYRc+mLgxp2Yj+Ie71cqtJjU7P0cQ8IhJyOJVSwJnUQkquTjlYmxnj5WiJh705TlZm6GQZjU5P5KV80grKsTU3plugC+18HWjr40igmzXmJnX/jHJ5PsdPn2NjxCmKcq5gLqmxNdHjZm2MmYU15pbWmNs4YurgiZWzJw7OjXGzM8fB0vS6nmleqZqfDifz64kUUvLKMTdR0T/EnZFhHnQNdK65xC29DvISKU+LJvHCSQqQdLH5AAAgAElEQVQuR2NUnIY7ubir8jFH6WHTqBU8tt9gtxWBWRCEBi2toJzd5zPZcT6LnOJKfJ0t8XWywtXGDDtLExwsTQn3dWww69D/pNfLJGSXcCqlgHNphaTml3OlsIK80kqMVSqMjST8nK0Y3caTfiFu9SIQ38yfPd3oK0XEZhSTlFNKVnElmUUVFFf8c0cy5UWqpYcd4b6OVGh0/HI8hXKNjq4BzowM82BAC/c6+++ZX6pmW3QGv0SmEH05m0Zmaka3duXpET0MtnxMBGZBEAShzlRodGQVVZJVXEFWcSVZRRWk5Jdz4nI+59IKkWUY1roxj/fwp2kdTz3808nL+Sw+dAmtXs/cB9sa7Lp3Epgb1uumIAiCUO+Zmxjh7WR5w7rzFRodFRrdXVWuqw1h3g6EeTug19d+p/VPIjALgiAItcbcxKheD9H/qa4K8EAdDWVLkpQNJBvwks5Azm2PanjEczU89+qziedqWMRz1T8+sixXaaF+nQRmQ5MkKbKqY/cNiXiuhudefTbxXA2LeK6Grf5XHxAEQRCE/xARmAVBEAShHrlXAvOCum5ADRHP1fDcq88mnqthEc/VgN0Tc8yCIAiCcK+4V3rMgiAIgnBPEIFZEARBEOoREZgFQRAEoR4RgVkQBEEQ6hERmAVBEAShHhGBWRAEQRDqERGYBUEQBKEeqZPdpZydnWVfX9+6uLUgCIIg1LqoqKicqm5iUSeB2dfXl8jIyLq4tSAIgiDUOkmSqryjohjKNoA5e+JZGnEJUUVNEARBqK466THfSw7EZfP5tlgALueV8frg4DrdYFsQBEFo2ERgroYKjY431p/Dz9mK7oHOLDqYREGZhk9Hh2JsJAYjBEEQhDsnAnM1fLc7nuTcMn6e1oFO/k44Wpkxa+dFGtmZ8+KAoLpuniAIgtAAiW7dXYrLLOb7/QmMCvOgc4AzkiTxbN9ARoV58P3+BC5mFtd1EwVBEIQGSATmu7Rw82F6m5zl9T6Nrvv560OCsTIz5rV1Z9HrRTKYIAiCcGdEYL5TskxuxE+8cWky3/MRTt8Fwffd4cwaAJyszXhtcDCRyfn8EplSx40VBEEQGhoRmO+EuhR+nYLT9qeIlz3IH/4T9HwVZD2smw7R6wEY29aTDn6OfLz5PPml6jputCAIgtCQGCQwS5I0UJKkWEmS4iVJesUQ16yXtr+BHL2e2fJ4fgqeh0PYMOj5P3hkO3h1UIJz4l4kSeLd4c0pqtCyJOJSXbdaEARBaECqHZglSTIC5gCDgBDgAUmSQqp73XonfhdE/shZ74nMqhzGlG6Bf31magkTVoFTAKx6EDKjaeZuS99gN5ZEXKKkUlt37RYEQRAaFEP0mNsD8bIsJ8qyrAZWAcMNcN0q0VUUk5mZWbM3KS+AP55Gdg7iuayhtPN1oKWn/fXHWDjAxLVgbA6bXgRZ5ole/hSWa1h59HLNtk8QBEG4ZxgiMHsAf89ySr36s1pxePm7mM9rQ8rv7ytzwDVh66tQnMGBFu+TWKBjale/Gx9n2xh6vwGXIyD6N9p4O9DZ34mFBxKp1Opqpm2CIAjCPaXWkr8kSXpUkqRISZIis7OzDXZdn85jiDEKxuvkF1R80QLOrTPYtQFIi4LTP6Pv/CzvRJrRzN2G/iHuNz++zUPgFgo73gJNOU/0DCCruJK1UWmGbVcN0ellvtgWy/gFh+n88S5avbudz7ZeoKBMJLEJgiDUBkME5jTA62//7nn1Z9eRZXmBLMvhsiyHu7hUaeerKvEK6UjIzC284zqbCxX2aNc+BtkXDXZ99nwEFo6stx5HYk4pL/Rreuta2CojGPgxFKZAxHd0CXCilacdPxxIbBCbXKw/mcZ3e+IpV+vo2MSJzv5OzNuXQLdP97BUJLIJgiDUOEME5uNAoCRJfpIkmQLjgT8McN0qs7M04Y3HHmJN4OcU600pXzMddAZIuLp8FOJ3ou30DF/uu0IrL3v6hbjd/jy/bhA8DA5+hVSazYMdfEjMKeVkSkH121SD1Fo9X++6SPPGtqx/sgtfjWvNvIlt2fpsd1p72/POhmjOpRXWdTMFQRDuadUOzLIsa4GngG3AeWC1LMvR1b3unTI2UjFzVHc+lqZhkXUK+dDs6l90zwdg5cIqBpBWUM5L/YOQpCruHNXnLdCUwfEfGBTqjpmxit9O1O/h7DVRKaTklfPiP54zyN2GOQ+2wdHSlHc3RDeInr8gCEJDZZA5ZlmWN8uy3FSWZX9Zlj80xDXvhqOVKS0GTGGjrgPyno8hM+buL5a0H5L2U9nxOb7ef4WOTRzpEuBU9fOdA6HpIDj+AzZGWvo3d2fDmSuotfq7b1MNqtDo+HZXPG19HOgZ9O+pBltzE14cEMTxS/lsOpteBy0UBEH4b7jnKn9NaO/NMoenKZFN0e2uxjvC3k/AphHfFHUhp6SSVwYFV723/KfOT0NZLpxeyagwDwrKNOyJzbr7NtWg5UeSySiq+Fdv+e/uD/cipJEtH2++QIVGZJkLgiDUhHsuMBsbqXhxZBeWavuhit0EOXF3fpHkw5B8iNzWM1gQkc6Ytp609rK//Xn/5NMZGofB4Tl0C3DE2dq0Xg5na3R6FuxPpLO/E538bz4qYKSSePu+ENIKyvl65138XgVBEITbuucCM0B7P0eiPR9AjQn6Q9/c+QUOfgWWTryRHIapkYqXB97l3sqSBJ2egtx4jOO3c1+rxuy+kFXvlh5ti84gq7iSad1usj77bzo0ceKB9l7M35fAuhOptdA6QRCE/5Z7MjADjOkexmptd+TTK6E4o+onpp+BuO0kBjzElovFPN0nEFcb87tvSMgIsPOCw3MY3cYTtU7PxjP1a452WUQy3o6W9GjqWqXj3x3Wgk5NnPjf2jMcTcyt4dbVDL1eFklsgiDUS/dsYO7dzJVNNmNAr4Mjc6t+4sFZyKbWPJMQjq+TJVO6+FavIUbG0H46JB+kuXEqTZyt2HruDl4UapJeT9KZA7RKWcYyy1kY/TJBmVuP3QraypueZmqsYv7Etng7WvLY8ijSCsprsdF3T6+XOZaUx2u/nSXs/R0Ev7WVvl/tY/qySC7nltV18wRBEIB7ODCrVBL9u3Rks649umM/KvWubyc3AaJ/45jLaM7lSnwwIhQzY6PqN6b1RDAyQ4pcTL8QN44m5VJUoan+dasjJw4WD8Rv3VBeN/kZL10K5MYrgXnlOJjfFS4duunpdpYm/DC5HYXlGlYfr//7ThdVaJi8+Bj3f3+Y306k0TPIhUkdfQhwsSYiPof/rT0jetCCINQL92xgBhgb7skS1SiMNMVw9Pvbn7DnQ/TGZjyT1JFRYR50DXQ2TEOsnKD5SDi9iv6B1mh0MvsvGq4s6R3R6yHiO5jfFX12LG/rp/FB0G8YPXsSnjoOr6bCuBVKj3nJYPj9KdBU3PBSfs5WtPd1ZHM9Xz51paCc++cf5nBCLm/fF0LkG32ZPT6M14eEMH9SW14dHMzhxFx+P3WlrpsqCIJwbwdmG3MTQtt2Zbs+HP3h727da045DufWstZsJGpzZ14fEmzYxrSbCupiwgp24GBpws6YGt4R60ZkGTbPhO2vg39vVoavZqm6NyO6t/3rGDNrCB4KTxyBLs/CyeWw6gHQ3Hi4enBoI+KySojLLK6lh7gzCdkljJx7iLT8cpZMac+ULn5YmRlfd8yE9t608rLng00xFJbV8UiGIAj/efd0YAaY2tWPb3WjUVUWwZF5Nz5IlmHba5SbOfN2bj9eHxKCk7WZYRvi2Q7cQ1FFLqJ3kCt7YrPR6mqx2Igsw5b/QeSP0OU51GOW8+2xEjr4OdLCw+7fx5taQr/3YPh3kLAHVt44OA9q4Y4kweaz9WTe/G9ySyp5ePExdHqZNTM63XQERKWS+HBEC/JK1Xy+/UItt7L6zqcXMWnRUXp/uZfwD3bQ8aNd/Hgwqd4WsxEE4dbu+cDs5WhJSFhXtuvboT8y98a95pj1kHqMb+Vx+Hu4MbpNDexaKUkQPhUyzzHWLY3Ccg2RyfmGv8/N7HgTjn2vLN/q+w6/nUojo6iCJ3sF3Pq8sIkwfA4k7oVfJv6rBrmrrTntfBzZcq5+DWdXaHRMXxZJdnElP0xuRzN321se38LDjoc6+bLi6GWONJBMc1mWWXwoieHfHeJ8ejHB7rb0C3HHz9mK9zbG0Perfew6XwcjM4IgVMs9H5gBnuwVwOw/e82H51z/YUUh7HibItumzC/qxJO9Au68wldVhY4FM1vCs9dhaqSqveHsEz9BxLfQbjr0/wCdDPP2JhDqYUe3qsyjhz0IQ2dB/E7Y/d6/Ph4U6s6FjGISsktqoPF3TpZlXlxzmpMpBcy6v3WVi8O8NCAIH0dLZq4+TWF5/R7SrtTqeHx5FO9uiKFboDPbnuvGnAfb8PGoUH6e3oGlj7THwsSI6csi630OwM2otXp+O5nKDwcSySy6cZ6DINyL/hOB2dvJkhZhXdis74h84AtlK0edFnLi4Ye+yEVpfKCbTBNXW/pXZfeou2VmDa3GY3zhD/r7GrHjfGbNZwKnnYBNM6FJTxj0KUgSm8+mcym3jCd7+Vf9JSR8CoQ/AodmQ8zv1300qEUjALbUkwCw7VQSdtE/scV7BYMOjIKPPGBuJ/hlkvKCUnHjHbKszIz5enwYGUUVvP37uVpuddVpdHqe+vkk26IzeWNIMD9MDr9u6kWSJHo0dWHdE51p4+3AMytPsvtCw+k5V2p1/HgwiZ6f7+H5X07zwabzdPp4F48sOc6SQ0lExOeQU3Lz5XyC0ND9JwIzKL3mV7SPcdphIOz7FH7sDz/0hrJcTvRYwupcP57o6X/rvZYNIXwq6NQ8YnWI5Nwy4rNqsJdZmgurHwIrFxi9CFRGyLLMnD3x+LtY0T/E/c6uN/ATZa58/ROQ9ddcrLudOeE+Dmyq63lmrRrN4QWE/96bD01+JKg0Cuw8ofWD4OALmdGw/Q2YFQq7P4Dyf08ltPay59k+gaw/dYXfT9W/8qlanZ7nVp1iR0wm7w5rzrRuTW76cmVlZsyPU9oR0tiWx5efICIhp5Zbe+cqNDoe+ymK9zbG4OloyeIp7dg9sweP9/An+koh72yIYcIPR2n34U4+2nweTW3maQhCLfnPBGZvJ0sGhPkzLushSofMg+yLYOeFPH03H0Q74ulgwX2tGtd8Q1ybgU9XWmasQ4W+5oqN6PXw22NQkgnjloGVMmS9JzaLCxnFPNEz4M5fQozN4P5lYGIBvz5y3TKqQaGNOJ9eRHJuqSGfouryEmFBD0y2vUSi3pVz/VchvRgLD66BwZ/BAyvhmRPw6F5o0h32fw7zuih7bv/DEz39CfO2570NMZRWGmBfbwORZZk31p9j09l0Xh8czOTOvrc9x9bchKVT2uPtaMnTP5+s10PCFRpleH5vbDYfjQxl9WOd6BXkShMXa14e2Iwjr/bh6Gt9WD61A+PCvViwP5Gx8w+TkieKwwj3lv9MYAaY1q0JlVo9S0vbw/Pn4NG9HMi24uTlAh7r4Y+JUS39OtpNxbjoMlPdE2puC8Vj30P8DhjwEXgoy6FkWea73fF42FswrPVdvoTYNobhcyErGna/f+3Hf04B7KiLZWDxu2BBL/RF6czQvciSpnNp0XnQjY9tHAbjlsP03WBkoqzVjvhWyVq/ythIxZtDQ8gtVfPjwaRaeojbW3ggkd+Px/FJmwKm20QoUzIHvoTo35RSsvob9x4drEyZ92AbytQ6nl55snZXA1SRWqu/FpQ/GRXKhA7e/zpGkiTcbM3pGujMJ6NbMmdCGxKyShjyzQG21rPkQ0Gojv9UYA5yt6FrgDPLIpLRmNqil4z5ZMsFvBwtuD/cs/Ya0mwoWLkyyXhXzSRNZZyDHW9B04HQbtq1Hx9NyuPE5QIe79Gkei8hTfsrQ/KH5yj7VqNkvzdzt2F7bQfmyMWwYgzYevBh4znslsN5dXDI7c/zaAuP7lN+R9vfgA3PKOVbr2rj7UC/EDcW7E8kv7TuNx05enAHNjtmctLiScbHPAG/Pwn7PoNd78Gah+H7bvBNK+Vnhf8egg90s+HDkS04lpTHrJ0Xa/8BbuO9jdHsjc3m41GhjG//76B8I0NaNmLTM93wdbbi8eUnePv3cw1uO1K9XuZ0SgGrI1PYei6DY0l5Yi29gPHtD7m3TOniy9SlkWw5l4Esy8SkF/H1uNaGKb1ZVcam0OYhvA58iac0is1n0nm6T6Bhrq0ph7XTwNwehn2nLNO6as6eeJytTRkb7lX9+/T/AJL2wW+Pw4xDYOFA/+bufLc7jrxSNY5WptW/x+1ELoaNz0HgAC50m82iuSeY0dMPL0fLqp1vYa/0nnd/AAe+AHUZjJyv9KSBF/sHMXD2fubvT+DVQQYuOFNVhamUrJ9Jh6SttDIywzh0NISOAid/sPUEXSXkX1Jexk6vhD0fKsG50xPQ/WUl4fCqUW08OZqYx5w9CXT2d6ZLgIEq21XTiqPJrDySxDttNTxgcwai9oC2Amw9lNwAJ39l+uQGvJ0s+fXxzny69QKLDiaRmFPK0intaz5XpBqKKzQciMth94Us9sZm/yuRzc7ChHeHNWd468Y1t0KkDuj0MufTi64tR5zUyad2v3cbEKku6gOHh4fLkZGRtX5fUN5Qe3+5FzsLE/LK1FibmbDp6a61/we5MA1mt2KbWT9mmc1g63PdDXPdzS/BsQUwcS0E9L324zOpBQz77hD/G9iMGT39DXOvtChY1F/ZQWvMIs6lFTL024N8PqalYYL/rZxYBn88DYH9Ydxypq04y9GkXA6+3Bs7S5M7v97BWbDzHQgaAmOXKC9PwPO/nGLz2XT2v9wLN9tq7DJ2p/R6OPY98q73UWu1zJdH8cCT7+Pq4nLr8/KSYP8XcGo52DRWMvFDhl37uFytY/A3B9Do9Gx7rvu/qqDVKp2W+H0/c3HPcnoYR2Ml32TkyNgCAvpA8DBoNuS6l42/++nwJd78PZq37wthSpfbb2Fam8rVOrZFZ7A2KoXDiXlo9TK25sb0CHKldzMXwrwcKKnUkl1cybe74zhxuYC+wa68O7wFHvY3fimpj/R6mSuF5cRmFHM2rZDoK0VkFVdSVK4hq6iCUvVfIxohjWz55oHWBLja1GGLbyy3pJKs4kqCG926/sGdkCQpSpbl8Cod+18LzABLIy7x9h/Ryj8/0p4eTW/zZVdTNj6PLmoZ3cu/ZNnMMfi73PgLp8ouboOf74eOT8DAj6/76PGfojiUkEPEK72xMb+LwHUz+z5TemmjFyG3GE2XT3bT3MOOhQ9V6f+/u3P2V2VUIKAPjFvBqYwKRsw5xMx+Tas38nB0AWx56eqLxo+gMuJybhm9v9zLuHZefDgy1HDPcCsVhfDbDIjdRJZ7D0Ylj2T6fb2qlOx1TcoxZZlcxhllmduAj671Oo9fyuP+7w8zqaMP7w1vUTPPcCuacji5HM3BbzApukyO5IBti8GYBvUBR3+wdAJjcyhMUUYDkiPgwkYoTgcLB+gwAzo8qvzz38iyzNSlkRyKz2HTM90IcK3mn6fqKM6AuB3oUqPIij2CWUkq5qixlCqpMLJGb+uJuUsTVD4doUkvcGsBKmV6SadXCsd8vi0WWYYJHbx5oqc/rrX5YlhFJZVaDsXnsO9iNlGX8rmUW0rl1YpzkgRNnK3wcLDEzsIEJytTWnvZ06GJI9FpRby89gyllVpeGxzMpI4+9WaUIyo5jydXnMTC1Igdz3fH2EC5RyIw30ZJpZbOH++ihYcdK6Z1qLvhosJU5G/C+LmyG3m9Pq1eUCnJUtbq2rjDtF1g8tcf4rjMYvrN2s/TvQOY2T/IAA3/G50WFg9UstyfiODtvQX8EpnCyTf7Y2FaA8NUCbthxf3g1V4ZFTCxYNKio0RfKWL/y72wrm4PMOJbZc659UQY9i2oVLy5/hwrj11m18we+DhZGeY5biY7FlZNgLwkNH3fp9eBZliZmbDpma53/gWh0ygJeodmK1/8Y5eCs1Lp7d0N0Sw+dImV0zvSyd+pBh7kJmK3wJaXoeAyZ1VBLGIEz854Gj+X2/Sa9Hq4fFj573NxC5jaQI+XlJdQo79eNLOKKxgwaz9ejpasndG59hI6QVmlcO5XOLMaLh0AWU8plpzS+aF39Mffw41GTvZIlYVQcHU3t9w45VxrN2g5DsImgUtTANIKyvludxyrI1MxUkn0aebKfa0a07uZK+YmdTAErNdBxlnl2TJjKEi7QGV2EqZoMEaHZGRMmZkLWqtGqFwCsQ/sjLlfR7D3vm5K7U9ZRRW89OsZ9l3Mpr2vI5+MDqVJdTsn1SDLMosOJvH5lmhCbNV8OjyApsGtDHZ9EZirICmnFAdLE+wta2Eu9FY2zURzfAlTbb9n2Qtj7u4aer3SU750QFkO5Hr9fOgLq0+x5WwGh17pXTNzv3mJMK8reLThYKdFTFwcyYJJbenf/A7XSd/OlVOwZAjY+8CUzWBhz5HEXMYvOMLrg4OZ3r2JYe6z52PY9wm0fwwGfUpWcSXdP9/DwObufD0+zDD3uJGk/bBqojKMPnYJ3yS48dWOi/w8rQOdqzMfHLdDWTqn08DoH6DpAMrUWgbNPqDsa/Jst+q/0NxO0RWlBx+7Gb1TU95UP8S6ggBWPtqpypXZrsk4p7xwXNwKLsEw5Avw7Xrt481n03lixQlGhXnw6ZiWNR+cywsgchEcmQ+lWciOTYi07s2b8YEUWfvz0ehW9AxyvfG5RelKudvzG5TnkXXg0wU6Pw2BA0Cl4lJOKYsPJbHpbDo5JWqcrEx5c2hI7cxByzKkHoeoJXBhE1QoJY0rzF05XeZEsYUHLXwb42JniZGsVUYKClMh5yJori5jc2wCQYOVpFevDtdGBpTLy6yJSuWDjTFUavU8368p07r6GayXeltF6XDpACWXIrkcfRTniks4S4WokKFRK3hsv8FuJQJzQ1KYhu7rVvyi6YbPwwvvLiHnz+HkwV9A++nXfZSSV0bPL/YyuZMvb91XhWzlu3XiJ/jjKXQ9XqX1vjAGNHfni7GGe9skL1GZzzY2h6k7wFapNjZh4RHisko48HIvw/UiZFnpNR/+DrrNhD5v8cmWC3y/P4Etz3a7bd3tu3L2V1g/Q/kSe/BXLuuc6P/1Pno3c2Xug21vf/7tFKQoPfGMs9D7Deg2k+PJ+Yz7/jAjWnvw1bjW1b/HzZxbCxtfAJ0aevyPF1I68/vZHBY+1JbezapRae/CZmVjlsLLSm+z3/tgo1xv9s44Zu28SLdAZ+Y+2Maw0zd/UpfB0XlwcDZUFoJ/H0raPclzR2zYeSGb+1o15sORLbCt6r2LM+HMKji2UBnGdw6Czk8pz2Zshk4vczghly+2x3IqpYBugc58NDK06smOd6K8AM78ogTkrBgwtYaQ4dCkFxuLA3hm4xXaeDvw45R2N34+nVZZUnn5iDLFlrQf9Boloa/FaKU8sXvotZ50VlEFb6w/x/aYTFp62vHp6JYGnd+9Rq+HlKPKi1D8TsiJBaACEy7K3ph7hBIYEIhk00hJPAzoY7Bbi8DcwGg3vgiRP/I/+y/54tmH7+wt+MJmZVvGluNg5Pf/GjJ6c/05Vh2/zP6Xe9HIrgaTSGRZydA+8wvf+3zJt5c8OfpaH8MkF5VkKUG5ogAe2X5tqO/E5XxGzY0wbG/5T7IMG56FE0uhz9sUtH2Kbp/toYOfIz9MbmfY+0R8q2wy4tMFxq9ANrfnoR+PcSI5nx0v9KCxoZJ/1GXKM51drXzJDp/LrP1XmL0rjq/HtWZEmIE3bynPV5IRz64Bj3AYtYA9OTZMWXycZ/sE8ny/ptW/h7pMWct9aLYyh977TWWLVZURq4+n8OpvZ2nqZsOKaR0MN1qk0yjJh/s+g5IMaDoIer1Gvm0zRs2LICWvjDeGKAVg7qpHq9NA9HqImK28SFm7QYfHlFwBCwd0epnlR5L5fFsskgRfjm1lmNGpP3vHkYuVtfHacmXdf9uHocUY9CZWfLE9lrl7E+gS4MTCh8KxNK3in++KIiVAn/tVCYh6rfLi0XIstBgDjn7Isszmsxm89fs5iio0vDk0hEkdfao/KqDTQvJBiPlDyVUoyQQjU4rcO7CusClrcv2x8WnFp2PDanSqSgTmhqY8n9LZHcksg4RRm+nXuopZ09mxsLCPspzkka3/WlKSVVxB10/3MCrMg09Gt6yBhv+DuhQW9kZTnE2Xgvd4flR3HqjimtSbqiyGJUOVZ528Abz+CopTlxwn6nI+h/7Xu2ayi/U6ZQj47BoY8DHflffji+0XWTujE219HA1z/W2vwdH50HwkjJgPJuasO/F/9s47vMbzjeOfNyebDBFBEhGSiMSWIfYeNWtTlFK02mrp0NavQ3dLd9VWalWtUtQesQkRIxLZsnciOznnvL8/HtQIMk4GfT/X1auXnHc8T/Ke936e+/7e9x3D7D8D+GRIM55v71j++9yNLAtPwP4PoU5T1CPXMmZzIkEJWeye2RmH2jrafYUfEaVbsxKg27vQaTY5aujzvS8mhip2zeyk21SZlFDRazz8CNRvLZqu2LXl6PVkpv7uR3Nbc9ZP9SmfV0WrhcBtIr0uLRwc2kOvj8HBB1mWmbHuAgeuJbJmSjt8Gusgbi/LYj4nfxLaCoMa4DERfF4GSwei03KZse4Cl2MzebmbE2/2blI2F3Bxu+MWI4VBthWelJv5Rcz64yIHg5IY6+3AvMHNMNQvo7s5N00Y/sub4cZJ8TN7L3HPZsNIkyx4a1MAh4KSGNrGjs+HNi/5AuA26gIIPwrXtovNS14aGJiS69Ad/5pd2JDhxs7gbOqYGfF2X1dGtLWvcPGZYpifQNThx9D7fRB7DHrT970/UT3uIUmPhN+HCGM47YioCX0fX/5zjWW+4Rx8sxuNrCtYtHSb5GDkpd0I0jbgfxafs2Vm77JfqzAH1o8WqtyxG6BJ35zK+OMAACAASURBVDsfBcbdpP9Px5jduwkzdZUDXhyaIlF+9NoOCru8T4cTbXCyMeOPaT7lW8kX5gqjf22HaMXZ+1PQ0yM1u4Be3x2lkXUNNr/UoeJeFmGHYNMLgExqj/l0322Jo3UNNr3UvnwGsyBbFD05uwRqu8CwJXcqz33ydyArT0Sw+aX2eDrqYGFzP7IMV7fCnvfFrqjNOOj2Hv/cUDFj/QX6uNfl13Eej/9uFXfdsINwYJ5Quds0g14fiVS9W8/AlvMxvLkpgHf6uTKj22NaqZaFhMvCs3JlixhPs6HQcSb51s2Z93cgG87ewK2+OV8MbU4bh1qPv55WI75XF9cXuzu+nZKm0cpsOR/D/H3BpOUU8vEgd8brYhd7m4xoMafLmyDxCkgqaNwNbbOhrImz5+MTOTjVMeOrYS0e/cxoNUJMF+Er+sdH+EJhlhAJuvYj0qYnH1ytx7FIEfeub2HM8Lb2vNTNqeL1FbdQDPMTSuiGt3EOXsppj2/xGfTiww9MCoI1z4q0k/Fbwf7BGGROgRqfLw/SxaUOC8e1rcBRF8O1v9FufJ7jmmbUenELLRqWIY5YkCXU19GnhYu+5ah7Pn5l/QWOBidzYk4Z85ZLg0YtKm1d+oPLji8wKKgXv09uR5eyptmlR8HGcULE1PcLUQzkFrM3XuTvS3HsmtmZJnUrOL8zLQK2TIHY88Q6DqNP0ACG+TTl02fLmEIVegD+niVivt7TxW7SUOzAL9xIZ8SikzzXzoHPnq3gtLP8TOFmPrsUkMB7KhtVA5lzII0JPg2ZN7hZyRY8GrVQgJ9eBFEnhLq4+/+gxQjQ+3fxEp2WyzM/HsO9vjkbpvmU3vCXhswYMZ7zq4XhsW0Lrv05ofLk7aNFxGcXMa6dA+894/agFyk3TcR8w4+IHvTZicXujkHkIx8KSuK7/dcJjL9J6waWfDTIvWRGv6wkBgpX9+VNkHEDgELj2lwodCC8sBbW9s50ae6IsYEByFrISRIembRwUZK26FadfksHcOoBrv1JquPDZ3vC2REQh3VNQ6Z3caKHmw2NrWtUejaOYpifUGR1Ide/6oSzOgRN53cw7P7OPS8AsXI/JHJ4VYYwYRvULV7QdTtXe8vLHfBoWIFfpoeQd2YVJv+8ziXz7rR8Y8u983jsyRmwbqQoYDJ8OTQfds/H1xOz6PuDLy91dWJOv6Y6HvlD0GqFq9RvJUf0fFhkMZs/ZvYp/Zc7/IjYqWo1MGIFuPzrUTgbIfKLX+3uzFt9dZzW9jA0RcKIHVtAln5t5uUOo/OIVxnSphQhiMRAIT4M2gnWTUSamYPPnY9zCtT0/+kYao3MP290LrkYqrxk3BAK+4ANIElct+jIgiRPLNx68OmYjsW7tbUa0So1ZC8E/CFEWOb20HEmeLxwp/DMbW7mFzFhxVnCkrL55/XOFSPEKo68DBHnDvxLfE8AWd+EOENHzmXVwsCoBj5NbKltpBHGPCMa0sLEufrG4rlrNkx4oQz/9aapNVp2XY5n0ZEwghKyaGBlwtt9mzKoZf3KM2SyLHbP0Wch5hyaxEDyU25QQ31fNzhJJdJDLRoIBbVta7D3FqE9SeJ4SApvbLxIVn4R07o0ZnrXytsdF0elGWZJkuYDg4BCIAx4QZbljMedpxjmh3Mh5AZRv7/EUNUJcOwMbSeKzlCF2XDiJ4g5C7UawYStQsFbDLerm1maGvLXKx0reQb/snPx+wxMWEiRc18Mhi0G0xK4L2PPC8N1M1YU+XAfcs/HsiwzZulpghKyOPxWt8op/fnvzeHUL2j3f8QNjTWxvRfRsXMJVZt5GaKy2PnfoE5TGLNevEBuodZoGfjzcbLy1RyY3bVicsAfRfQ55D3vIsX6ESg7YtXzDeq1GwFGD9m1azUiPe/CGuGKNDITKT4dZt6TQw/w3tZL/HEumj+m+tBOF7HX0pIeBedXIfuvQcpJRitLRBo0xs6lFUY1agnDlJ0kjHDSNRGPlPRECpb3NCHuUj34Qs/MLeL5lSKHfuG4tvTVdXpgSclKEAv2hCuQFEh+Uhg3s7MxkAvRNzRGNrfDxLohBnYthcDQtu0Df6MCtYatF2JZfDSMqNRcXGxqMqO7E4Na2lZe6tJjuBgezwebzxGbnsPz7R0Z07kl9Wo9GKJLzylkiW84S3zDcKpTk4XPtcW1XtVXF6tMw9wHOCTLslqSpK8BZFme87jzFMP8aGZv9Ef/8h98Zfw7euq7WtpZOECn10XxC4OHVwE6eC2RKav9+GlsGwZXRivLh3ApJoPNiz7kI8N1qMzqwcjfRGGQ4lAXiDSRAx+LVfCI3+4Ret1mm38MszYG8MXQ4jsQVQaayFOkrR6HlZwOLceg6vYOWD2kBGRBlhC5HPkScpJF1aru7z9QVvK2h2PRuLY806J+JcyiGGSZTL+NZO76CAcSkPWNkZx7gbWL0DCojMTuKz1SxFxzkoUgyXsqdHy92IXXvqsJTFtznpe7VaJ342GoCyH6DNfP7iH16mEa6Kdja1SAXmG26Flu6SAWu07dhSv0EQvJtJxCJqw4Q0hiNgvHtaW3eznSviqAtJxC3tt6iX2BiciyCIXbWpjgaG2KvaUpKpWELMvczFMTkpRFREoORRqZlvYWvNLdmd5udatNJa67ySlQ89muQDacjQbAxaYmXo2ssLUwxsbMmPNR6fx1MZYCtZaRHvbMG9Ks9MKxCqJKXNmSJA0FRsiyPO5xxyqG+dEkZeXTc8FRfBoYs3RIPaScFNGswLHzPVWOHsZzy04TkZKD7zvdK7fyUTEMWXiCellXWWz8C1JmNDTuJlK7GnURea0FWSKN4fwqETNy7Q9DFhb7UszMK6Lnt0ewr2XK1pcrUBhVAnwvXuP65nlMMjyEPhrxIrfzEC41TaHYxcQHiLSXohwhrBn4vfj/faRkF9BjwRFa2luyZop3lTcuOBWawrcr1/CaTQBdJH+kzBiR3gKAJBZODbyFK9Slz5048v0kZObT/6dj1LcwZtuMjmVX8VYAZ8JTmbzqHNZmRqx7sR32tUrugg6Mu8n0tX4k3ixgyQQPuj+seEg14GZ+EZeiM/G/kU5YcjaRqbnEZuQhy6AngYmhCuc6NXGpa0ZnF2s6ONWu8uevJAQnZHH0ehLHQlIIiM7gZr54Po0N9Bjaxp6JHRpWTL2BclBVhvlvYKMsy2sfd6ximB/PiuMRfLozkO9GtWJY25K3pLwal8mAn47rtllFOfg7II7XNvjz2xhXuqf9AQEbhTjoHiQR6/KeJgzcQ14MH/x1hXVnotjxaiea21lU/OAfw/Q1fgQGB7PL8yLmsb4ipYu7vk+GNYV6tu1EsPd86Lxe2+DPP5fj2fNGl6qt73wXvx4J5Zs9wcwb3IyJPg2Eq/d2xyf9x4cPijRaEXKIv8n2VztVm3ndjf+NdCauPEtNI32WTfSkme3jn6ntF2OZs+USFiYGLBrvQduKFEMplJj8Ig3JWQVYmBpUnoahlOjUMEuSdAAoLngyV5bl7beOmQt4AsPkh1xQkqRpwDQABwcHj6ioqJKM7z9LkUbLuGVn8ItK47tRJSv+kJSVz8jFp7iZV8Tht7pVfblRROy06/wj2NcyYeP09v9W3km8AgamYrdVv/XDXcG3OBOeyphlp5nY3pGPBzerpNE/mvjMPHp9exRPRytWveCFVJgthFCGpqKzk0mte8oPFseOgDhmbvDnrT5NeLVHBaZ9lRKtVmbq7374hiSzaJwHvUrpqv10ZyArjkfw89g2DKrCcMrjuBKbyQurzpGeU8hrPVyY0d2pWC9TZEoOX+y+xr7ARLwdrfhlXBtszKpfUwmF6kul7pglSZoETAd6yrKc+5jDAWXHXFJyCtRMWX2OMxFpzO3vhp4kcSo8FQOVxHvPuN2jAL2ZX8SYJcKFvX5qu4pNayglS33D+GJ3EDtfK9tON6dATb8ffZGQ+Of1zlXbqvA+bns2ymKAEjLz6fP9UZxsarJpevtqI7K5TWZeEc/fahDyw5jWDGxZsvndrlU9qUP1WUQ9ivScQj7++yrbL8bhVt+cWb1c6HUrxhqZksPqU5GsPR2FgUqPGd2cmN61eOOtoPAoKlP81Q/4Dugqy3JySc9TDHPJySvUMG2NH8dCUgBwsDIlLacQgA8HudPJ2ZoLN9L57UQkAdEZrJjkVXVtLB9CZl4RHb48SJ9m9fi+DDWZ5267zPqzN9g4rT3ejSqgMEU5UGu0DF90kuuJ2ax90bvEFcFkWeb5lWfxi0znn9c741hZBWBKSVZ+EZNXneN8VDofDHRntFeDR4ppToalMOm3czSzNWfjtPbVKq78OPZciefz3deITsujSd2a1DEz4kRoKio9iWFt7Hi7r2u1bL2o8GRQmYY5FDACUm/96LQsyy897jzFMJeOArWGsxFpNK5TEztLE6LTcnlzUwBnI9LuHGNqqOKr4S2rVIX9KOb9fZU1p6I4+k73UjV+972ezPMrzzK1cyPmDqjAJhzlICkrn9FLTpOSXcCGqT4l8grcjuF+9mxzxvs0rIRRlp3cQjXT15znWEgKJgYqervXZVbvJg9Uk/O/kc745WewtRRhi0pNZdMRao2WnZfiWeIbTk6BmpEe9ozyakBdxSArlBOlwMh/AK1WZsuFGLIL1Hg0rIVbffNq7V6Lzcij57dH6NbEhsUTStYtKTOviH4/+FLDSJ+dr3Wqmh60JSQ2I49Ri0+RV6RhxUTPR4YSjoek8PzKM/RvUZ+fx7Z5IlSwWq3Mucg0tgfEsd0/luZ2FkIzcIvQpCyGLzqFpakBf05vrxgyBYX7KI1hrr5vcoVHoqcnMdKzAS90bERLe8tqbZQB7CxNeK2HC3uuJnA4KKlE53zydyBJWQV8O7JVtTbKIOa39sV2GOvrMXzRST7fFUheoeaB42Iz8pj5hz/ONjX5enjLJ8Iog3je2jWuzRdDWzCjuzNnItIIT86+8/n8vcHIsszaKe0Uo6ygUE6qj4pG4alnaufGbPOP5cMdV9jX+NHVrfZdTWDLhRhe6+FMqwaWlTjKstPIugZ7ZnXhq3+CWHYsgm3+sdQyNUQryyKJSoa03ELUGpnF4z2qlYitNIz0sOe7/dfZeC6a9/q7EZGSw77ARF7p5lx5JSkVFJ5iqvc2S+GpwlBfj0+HNCc6LY9fDoc89LikrHze33YZt/rmvFaNUohKgrmxAV8MbcH6qaL1n0vdmjStZ45bfXPcbc3p2qQOyyd60rhO9cvrLSk25sb0crNh8/kYCtValh8Lx0BPj4kdHKt6aAoKTwVP5pJd4YmlvVNthrW149cjYdSuYcTkTvfmLx8JTuLtzZe4ma9mzZRWT5Sq9246OFnTwcm6qodRYYzxdmDv1UQ2nrvB5vMxDGtrRx0zo6oeloLCU4FimBUqnS+GtiC3QMMnOwNJuJnPS12duBybyZ4r8Ww4G02TujVZ/YI3bvWrV0k9hX/p4lIHO0sT5v0diFor82Ln4huqKCgolB7FMCtUOsYGKhaOa8u8v6+y1Decpb7hgKjdO7ljI97p51rtxV7/dVR6EqM8G/D9gev0crOpliU3FRSeVBTDrFAlqPQk5g1uRhsHS+Iz82ltb0lze4tqW+dW4UHGejfgYFAir/dsUtVDUVB4qlDymBUUFBQUFCoYJY9ZQUFBQUHhCaVKdsySJCUDumwvZQ2k6PB61QVlXk8eT+vclHk9WSjzqn40lGW5RI0MqsQw6xpJkvxK6iJ4klDm9eTxtM5NmdeThTKvJxvFla2goKCgoFCNUAyzgoKCgoJCNeJpMcxLq3oAFYQyryePp3VuyryeLJR5PcE8FTFmBQUFBQWFp4WnZcesoKCgoKDwVKAYZgUFBQUFhWqEYpgVFBQUFBSqEYphVlBQUFBQqEYohllBQUFBQaEaoRhmBQUFBQWFaoRimBUUFBQUFKoRVdKP2draWnZ0dKyKWysoKCgoKFQ658+fTylpEwudGGZJklYCA4EkWZabP+54R0dHlH7MCgoKCgr/FSRJKnFHRV25slcB/XR0LQUdE5mSQ9f5hxnyy3FWHI8g6WZ+VQ9JQUFBQeEh6MQwy7LsC6Tp4loKuiUqNYexy06Tla9GI8t8ujOQ9l8d4ps9QRSoNVU9PAUFBQWF+6iSGHN15WRYCn8HxDHB2x53TRCYWIFN06oeVpm5kZrLmKWnyS/SsH6qD271zQlNymbJ0TB+PRLGoaAkFoxsRXM7i6oeqoKCgoLCLSpNlS1J0jRJkvwkSfJLTk6urNuWmD/PRfP2ij2085+D7bLm8NszaJf1hIQrVT20MlGg1vDi7+fIK9Kw7kVhlAGcbWoyf2QrVk7yJDWnkNFLTpGUpbi2FRQUFKoLlWaYZVleKsuypyzLnnXqlEiYVinIssz8vUG8s+USX1luY4jhBWLqduc9+VWSiwwpWjMcMmOrepil5ocDIVxPzOb70a1xtzV/4PMeTeuycZoP+Wotvx4Oq4IRlh+NVmZHQBzz9wYRkZJT1cNRUFBQ0An/+Tzma/FZLDwcxvOtzOhUcAyp7Xiaz1jHK2/M5U2D/1GQk0nh7yMg/2ZVD7XE+N9IZ8nRMEZ7NqC7q81Dj2tcpyajPO1ZdyaKmPTcShxh+dBqZf4OiKPvD77M3ODPwsNh9Pj2CNPX+BGckFXVw1NQUFAoFzoxzJIkbQBOAa6SJMVIkjRFF9etDALjhcGdWfsskqYAPCcDYF/LlI+njuYdvTfRSw0ie++nVTnMEpNfpOHNTQHUMzfmfwPdHnv8zJ4uSJLEjwdCKmF05ScgOoNhi07y2gZ/JOCX59pw9v2evNrdmdPhaUxYcYbMvKKqHqaCgoJCmdGVKnusLMv1ZVk2kGXZXpblFbq4bmVwPTELI32oHbQeGvhA3WZ3PnO2qcnLk6exV26P7L+WqPjqFxu/n+XHwglPzuHrES0xMzZ47PH1LUx43qchWy7EEJqUXQkjLBuyLPPR9isMWXiC2Iw8Foxsxd43ujCwpS025sa82ceVtVPakZpTyOe7Aqt6uGXmYnQG3+0L5vU//Bm95BRrTkchy3JVD0tBQaES+c+7soMTshhuGY6UFgZeD270W9hb4DpoFmbksnbZfK7EZlbBKEtGToGaFccj6NHUhs4uJY/jz+jujImBiu/3X6/A0ZWPP/2iWX0qigk+DTn0ZldGeNijpyfdc0wLewumdWnMn34xHAup/ouo+9nkF82IRSf55XAo56PSScsp5IO/rjBltR/JWQVVPTwFBYVKQjHMCVmMkfaBaW1wH1LsMc4evSio7c4oeQ9jl54iPLl67iw3nL1Bem4Rr3R3LtV5VjUMeaFjI3ZfiScksfrFaGPSc/l05zXaN67NvMHNHukJeL2nC43r1ODdLZfJKVBX4ijLjizLfLf/Om9vvoRP49r4f9iH43N6sG9WF+YNbsbx0BSe+dGX6LQnRwdQHNFpuey5ksCPB0JYfiwctUZb1UNSUKiW/KcNc2ZuEUU3E2mefQJajwN9o+IPlCSMOkzHRY6iNcF8urP6uUrzizSsOHqdV22v4xH6M1xYAzF+UJRXovOndGqEiYGKXw6HVvBIS4dWK/PO5kvIssw3I1o+sEu+H2MDFfNHtCQuM49v9gRV0ijLx8LDofx0MISRHvb89oIXFiZi4SFJEhM7OLLj1Y7kFmr4eMfVKh5p2Ui6mc+r6y/Q+ZvDvLT2PD8cvM5nu64xbc35J2bxpKBQmfynDfP1pCza6IWiJ2vAbdCjD24xEowt+KjuCQ4HJ3MkOKlyBlkSivIJXf8WO4qm8lbax3DsO9jxKizvCT+2hpADj71ErRqGTGjfkL8D4girRh6BdWdvcDIslbkD3GlgZVqiczwaWjGpgyOrT0VxNqJ6F6QLTcrmp4OhDGhZn29GtMRA9eBXsmk9c2b1asLBoCT2ByZWwSjLhizLrDkdRc9vj7IvMJGZPZz565WOXJ3Xl8+HNufo9WRGLj5FQqaSR6+gcDf/acMcnJBFc70IZEnvHtFXsRjWgNbjcUo5SNtaBXy6M5Ci6uCKK8hGu24kzSNWEmbUDHnMBvhfIrx2AUb9DiaWsG447JwFhY/O9Z3auTGG+nosrCa75szcIhbsDaaDU23Gejco1blv93WlgZUJc7ZcIr+oepYe1Wpl3t92GWMDPT4e1AxJerg3YFJHR1zrmvHxjqvkFlb/XWZqdgFTVvvxwV9XaNnAgr1vdGF2H1daN7DE1FCfce0asmKi552SsWk5hVU9ZAWFasN/2jBfT8yilSoKarsIw/s42oxH0qr5zD2GsOQc1p4ucbOQiiEvHdY8C1EnmFX4MplDViE17S9c8rWdRMx82lFo/yr4/QbrR4P64S9A65pGjGvXkO0X44hKrfqCHb8eDeVmfhFzB7ghyTLEB4j/8h8vwDM11OerYS2JSMmptqK2TeejORuRxvv93ahj9pAwyi0MVHp8NrQ5sRl5/HyoeiycHsa5yDSe+fEYx0NTmDe4GWuntKOR9YPfr26uNqye7E1cRh5TVp8jr7B6LqAUFCqb/7RhDkrIooUqCql+q5KdYOMGFg64ZZ+ik7M1Px0Mqbpds6YI1g6HuIsssfmQY6Y96dG0mGIiBsbQ93MYugQijwkX9yPSb6Z1aYxWlvnLP64CB/94YjPy+O1EJDPc8mnm/wl87w5Luoj/vnKAb5zg6HwofLggqqOzNWO9G7DsWHi1U9OnZhfwxe4gvB2tGOVZMm+Al6MVIzzsWeYbzsXojAoeYdnILVQzY90FTA1V/DWjIxM7OD7SE+DpaMWPY9pwMTqD1zb4P5GCsMSb+QQnZJGVr+TPK+iG/6xhlmWZ5IQYrLUpUL9lyU6SJHDpjRR+lAle9UjPLeJ8VHrFDvRhnPgBYs+TPeBXvotpwpDWdsXGJ+/QajT0+B9c2giHPnvoYXXNjXGta4ZfVNXGZr/bG8w4aS9vRb0E/uvA3lMsLkb9Dr0/BXsvOPwZ/OwBl/586HXefcaNWqaGfLj9Clpt9ckHXng4jKz8Ij4b2vyxgra7+WCgOzZmRrzxh3+1FE4tPxZBclYB345qVWwp2OLo17we8wY348C1RL6tpt6N4giMu8nrf/jT4atD9P3BlxYf76PVvH3M/vMiF26kK/nnCmXmP9tdKjmrAPuCUDAESrpjBnDpA34r6GIUgoFK4nBQEj6Na1fYOIsl6Roc/QaaDWVroTdFmqsMb2v/+PM6vwUZN+DYAjFn98HFHublaMXWCzGoNVr0H2XsK4jrN2LpdeVtnlGdhcZ94NnFUOO+33HHmRB1CvbNha1Txe+k54di8XQXFiYGzHmmKe9svsQ2/1iGe5Tg91TBxGbkse50BHOaJNIkeDEcvghZCWDVSIRVGnUBB58H5gJiPt+Nbs3YZaf5dGcgXw0v4aKyEkjNLmDJ0TD6uNfFo6FVqc59vr0jgXE3WXw0jM7O1nRwtq6gUZafrPwiPtpxla0XYqlhqGJyR0da2lsSl5FHaFI2uy/Hs/VCLC3sLJg/siVN65VsgaKgcJv/7I45ODGL5lKk+Ee9FiU/sVFnUBlhEnkI70ZWHAqqZHW2Rg1/zQAjM+i/gC3nY3Crb16y3YkkwYDvoH5rIQbLSSn2ME/HWuQUagiqirrT6gKkP8bRW8+PvK4fwdiNDxrl2zRsD1P2g8ckOP4d/P06aB+MU45oa0/rBpZ8+U8QN6uBu/Gfv9azVf99pkfNEt6LpGtgYAI3TsORL+C3frCyH4TsLzbs4NO4NtO7OPHHuWj2Xk2oghkUz8+HQslXa3mnX9lapX44yJ3G1jV4Y+PFaisGux0//8s/lhndnDj5bk/mDnBnUCtbpnd1Yv7IVpyZ24vPhzYn4WY+zy48wdYLMVU9bIUnjP+uYU7IopleJBoLBzCpVfITDWuAYycI2Ud3VxtCkrIrt/DD2SUQdwGe+YbQHCMCYjIZ3tau5OerDODZRVBwUxjnYl78Xo5it3MuspLd2VotBZun45Lrz3bHuZh0nw16j3lE9VQw8AfhDbiwGrZNB+29cUo9PYlPhjQjNaegamuC56aR89swXoycja1RgXDNv3sDZl6ASTth1hV4LxaemQ+ZMbBuBGwYC7kP/h1m926CW31zPt5xtVqIpsKSs1l3JooxHvVxTvOFg5/C1mmwaiD8+bz49+XNUPDwxZ6poT4/jW1DRm4R72wOqHau4N2X4xm95BR6ksSmlzrwTr+mWJg+WOymppFQne+a2YlW9pbM/jOAV9Zf4HBQEgXqqv9blYXLMZmsOR3FrkvxnA5PJbsahlGeJv6zruzghCz6qCJR2XqV/mSXPrBnDn3q5/IZcDg4iefbO+p6iA9SkA2+C8CpBzQfzpa9waj0JIa0LoVhBqjrDt3eg4Pz4MoWaDHino9tLU2wszTBLzKdFzo20uEEHsP+DzAK2sZXRWMYOfClkp8nSdDzA7HrPPQp1GoEPebec0hLe0tGtLVnzekoZvZ0uVPEo9JICYX1ozBMv8E32vFMnvElWBbj5TCqCe2mCS/AuWWw/yMheBvxGzT491k11Nfj40HujF56muXHwnmtp0vlzeUuZFlmm38sP+84znsGu5gYdgouJ4OkAnNbMKsveppf2wmyBgxrQstR4DVVPIf30czWgnf6ufLZrmvsCIgr/bNdQZyPSmfWxou0cajFqvHNMSNXhB9q1i025ABgY2bMuhfb8cOBEFadjGTXpXhqGukzoX1DXu/pgrGBqpJnUXoiUnJYsDeYXZfj7/m5pakB07o0ZlIHR0wNnywzkpCZz1b/GKJScslXa1BrZNxtzenkbE1zOwtUpdB8VBRP1m9Uh0THJ+JAQuniy7dx6Q175uCQehLH2i4cCqokw3xuOeSlQbf3ySnUsMkvhq5N6jw21aZYOsyEoF2w+y1h6E3vjQl6OtbiVFgqsiw/UlWrMy5vhlO/sFGvP1cbvcC7dWqW/hqd34T0CPD9Bmo7C8HbXNaSlwAAIABJREFUXYz3acim8zH8czmeMd4OOhp4CYg4BhvHoZH0GVvwPj5dB2BdnFG+G31DaP+KiDVvmiTc20OX3LOIate4Nv2a1WPR0TBGeTWgrrlxxc7jPgrVWt7Y4Id10Fp2Gm7ClAKkBv2g7QRw7iW8M7dRFwpPz/nVcHG9SN/zmiIEifd5rF7o2Ii/L8Xz6c5AujWxKXZXWpnEhlzEd/1y1hpewjMtBOnbuzxkBqZg5QQNvKHZUGjYQXhxbqGv0uOtvq681tOZk2GpbLsQy6IjYRy8lsh3o1rT3M6iCmb0aIo0Wo4EJ7PJL5qDQUkY6esxs6cLIz3syS5Qk5CZz+pTkXyzJ5iVxyOY3duV0V4NqoVBexQXozNYeDiUQ0FJaLQyNmZGmBiKv9Wuy/HM3xtMLVMDhrS2Y6SnPc1sq+5vI+nCXSRJUj/gR0AFLJdl+atHHe/p6Sn7+fmV+75lRZZlJn70Pb/rzYPnNkGTPqW/yM8eUKsR8yzmsf7MDS5+2OfOH7lCKMyBH1oKBfmEbXy3/zo/HQxhy8sd8GhYClf83SQGwuJO4kU66Md7Plp7Oor//XUF37e741C7ZBW3ykx6FCzuRFoNJ7ziZrN0Yjt6utUt27XUhbB2GESfgYk7waHdnY9kWabXd0exqmHIppc66Gjwj+HGaVgzFCwd+Lr2J6y8ouXEuz2wrlmKxVReOvwxDqJOwsDvwfOFOx9FpuTQ+/ujPNvajvkjy7DILAdHT5/DYvc0WuuFIzfujjTgW5E//zhy0+Do13B2qahR33++MGp3cTUuk0E/H2estwOfDy2FBkRXyDJE+KI5/gOq8EMAFFo1wdCpq/AEGFuArIW0cEi5Lv42RbliB+01VXg9jIt/sR8OTmLO5kuk5RTy+xRvOjhVkdAtNw0ij0PCJUi4DNlJ5OXnkZCeRYLanET9+pjbu9Gm6xBqNfZ8IKx0Piqdr/cEcTYijRZ2Fswb0oy2DmV8F1UgBWoNPxwIYcnRMGqZGjLKqwFjvBrQsPa/ufXJWQWcDEthX2Ai+68mUqjR4t3Iio3TfHS2MZEk6bwsy54lObbcO2ZJklTAQqA3EAOckyRphyzL1a+g9C2Ssgpw0oSLCHtZdsxwS529kl7DzfnthJaTYSllNyYl4dwKyE2Bru+SkJnPUt8wBrSsX3ajDMKV6PMynFoIbZ4He487H90dZ65Qw6xRC1U18L7e69jXNqO7azH52CVF31CkVC3rIXaaLx2DGuLFJ0kSwz3s+WZPMFGpOfd8MSuEuIuwbiSY25IyfDMrfrnCSA/70hllEDvK8VtErHbnGyJO23EmAI7WNZjUwZHlxyOY2MGx8nZgoQfx3DcRtZ4WzdBlqFqOfKhL9wFMreCZr6H1c/D3G+LvFOELfb8UefcIl/YLHRux8kQEwz3sK/eFn3BFeJJunCJP34pfi0bTffRMvFo2f/g5hTlwfQ8E/CHS+E7+DO1nQIfXHihe1N3Vhn2zujBk4Qk+3H6Vf17v/OhUR12iLoSr2+DKZgg7BFq1CDtYNyFV3wb/VBUqlSVtbPLxyb+MFH0Q1v4CNepAk77QdqJIVZQkPBrWYuM0H3YExPHF7muMWHSSBSNbMawkGSIVhVYLSVch6iSa5OukRl8nO/kGQ9VFTDI3wLqWBapMBzjnIN5/Du3BqjF1zIwY0tqOIa3tyMgtZPvFOLIL1JXjLSwGXTwN3kCoLMvhsiwXAn8AxbdpqiaEJWfTXC+SQuM6YFZGY+rUE9T5eOldw9RQVbHq7MJcOPkTNO4ODu1YsC8YrRbeLaP69R66zhGr/N1v3qNodrGpibmxfsULwHznQ/QZYjt9zp4YQyb4NCxVXm+xmFrByFWQmyoESHeJwZ5tbYckwdYLseW7x+NICRE7d2MLeH47qwJyKdJoebFz47Jdz8AERq8TO8v9H4jF1C1e7eGCpYkBn+0KrHjBlCzDiZ+Q140gVluLX11WoGo1quRG+W7qt4Ip+6Dj6+C3Epb3gtSwOx/P6t2EeubG/G/bFTSVkYNekA173hcx/ZTrRLb7FI+c78j2foxRBmF8mw+HcZtEtb1GneHIl7DQB4J2P3C4pakhHw50JzQpm9UnIytmPnejUYt6AL94wLZpIhPAZwZM3gfvx/Kn9ya8o17iO6uPcH/jLyxfO4L0dgi8FQpDl0LjbnD1L1jRGxZ1EBuFojwkSWhcDr7ZjfZOtZn9Z0DlV0Qsyhcahk0vwDeNhBfwn3fI81tPUvwNYqmDpUNz6jq1QlWzDiRfF8/b9lfg57awoAn89QoE/wNF+ViaGjKxg2Opu/TpEl3EmO2A6Lv+HQO0e8ixOufstp8xDt5Gi3cOID1OwXuLiJQc2kqRaOuVIwe0YQdQGWEYcQRPx2crttDIxXWQkwxd53A1LpMtF2KY2rlxiZs6PBJjc1EZbMsUoWr2nAwIJbOno1XFGub4AGGYW45mdZYX+noRDG2jI7GPbWvo9yXsmi1Sqbq8JX5saUIHp9ps9Y/hjV4uFbMizkkVO2UkeH47Ocb1WHP6EH3d6xVbmrLE6BvCsOXCOO59H1SG4D0VCxMDZvVuwofbr7IvMJG+zerpbCr3oNXC3vfgzGKSGzzDkJCR/NK2bfmuqTKA3p9Aw07CYCzrDsNXgksvahrp835/N17b4M+WCzElrpBWJmL8YMuLkB4JHpPI6/I/Ji29jE0tmTmlXQDbtoYx64R7e+ds+GMsuPYXXgLLf7UNPd3q0t21Dj8cCGFwa1tszCpAI6DVwrXtcPgL4XKv3xoGfA/OPUGSkGWZHw+G8MOBEDq7WLNovAc1je4yCzXrCK1Gq9HCU3NlqzBqu2aLa3pPA++p1DS1YsVEL2asuyBCYNeTkSQoUGuZ4NOwYryJSUFCIHlpExRkUmRkxQk9b7YXOnEOd5o1dWNsu4Z0dqnzYPxbqxW/j+jTwp1/7W+4uBYMzUQp49ZjwaHD47NCKohKu6skSdMkSfKTJMkvOVl3Tew1BTm0zD9P4o3gEp8TmZiJsxSHkW05YleGpsI4hx2klb0FIUnZFdNcQJbh7DKwbQMN27PUNxxzYwPdruaaDxcvxgPzhFG5hadjLcKSc0jJLtDdvW6jKRIr1hrWaPp+zfaLsXRzrUPt0rp5H4XnZDG3w5+LL98thre1JzotD7+KWEypC2DjOLgZB2P/gNpObDwXTWZeEdO6lnG3fDcqfRi+HFwHCHfr+dUAPOftgLNNTb7cfY1CdQWUtVQXipDDmcXg8wo/WL6LnmENOuqqEEiTPmKnaeEg0sSOfQuyzMCW9WnjYMmCvcEVU+lMo4YjX8OKPsJj9MJuGPQD832TiEzN5evhLalhVMb9S8MOIpTSax6EH4GF7eD49/fUq/9wUDMK1Vq++kfHLUplGa7vhaVdRKhA0oNRa2DaEXDpBZJEkUbLnC2X+OFACCM87Fk5yeteo3w/RmbgMVFcY9JuUY3vyBfwnTvsegvjrBssHu/BGK8GBMbfJCo1l+sJWby09jyHdeVR1KiFEV09CH5tBxd+hyZ9Cem9ilY5PzFXfhnn3i+y9d1RLHnei26uNsWL0vT0wKapyH4YvhzeDoXxW4VRDvwLVg2AZd0eWb64ItGFYY4F7l7K2t/62T3IsrxUlmVPWZY969Spo4PbCmo36wVAQsD+Ep+TkxCCgaRBqutWvps794TkILyt8tBoZa7G3Szf9YojwhdSgsF7GoVqLYeCkujbrK5u030kCQYsECvig/Pu/LjTrZfu0WDdLaTucOJHITjpv4CTcWoSbxYwtI2OY1OSJERtVo1h82TIFi+Hvs3qYWqoYuO56MdcoJTIMuyYCTdOwdBF0MCL7AI1vx4JpV0jK93FSVUGMPI3cO4tiqpc3IC+So+5A9yITM3l91ORurnPbQqyYcNoEZfs9TGa3p+xNzCZHm51dZvyU6uhcG03HwYHP4FNE5EKc/hgoDtJWQUs8Q3X3b0A0iLgt2eEcWk+HF4+Dg07cC4yjd9ORjDBp2H5hVkqA+j0BrxyRoSiDnwMSzrfWSg2sq7B1C6N2Hohlo+2X9FN7f2IY7CyL6wfJb7TQ5fAyydFpb9bHqL4zDzGLTvDn34xzOzpwvyHtBwtFkkCx47w3EaYcUb87s6vgp/bYrhtMl/5qDk+pwd73ujCnlldcK1nxvS15zkZmkJ6TiFnI9K4FFPKWu85KWKx9mMr2DgeUsOh50cw+xrR3X9kzKGa1LGoyd+vdeKV7s7YlDZDQd9QvM+fXQhvhcCwZdBmQtlCNDpAF4b5HOAiSVIjSZIMgTHADh1ct0Q0cmtDsmyBXtSxEp+jSr21u67jWr6bO/UAoFXheQACKqKxwNmlYGIFzYZxJiKVrHw1fdwrwFVp4yaEYBd+F249oIWdBfXMjXXfAzj5ulDlug8B98FsuxCLmbE+Pd3KIfp6GEZmMHK16Ei15UXQaqhhpM+wtnbsuBhHUpYOewH7LoBLf0D3/4mXFbDkaBgp2YW817+ci8D70TeC0WtE+c7tM+DKFro1qUNnF9FcJSNXR5WzclLh98Fixzf4F+g0C7+odFJzCulXES5zQ1MYvkLUQ7/2N6zoTdua6QxqZctS3zDiM/PKfw9ZFvHWxZ0gOVjcb/gyMLYgr1DD25sCsLM04d1ndKDhuI2lA4xdL7woRbliR7Z1OtyMY3ZvV6Z2bsTqU1E8v+Is6WWtehZzHn4fAqsHQka0UPC/6getxtyTwnXwWiL9fzzGlbhMfhjdmtm9m5Q9pGPTVBizNy6LFMzQgyIcsWogXN+HuZE+v09uh2NtU8atOEObT/czaskphv16kpDEx1QWlGWR1bDtJfjOTSzWajsJrcXrAdB5NjdVFkxedY4ijZaVk7ywqmFYtnncjaGpyLX3nlr+a5WRchtmWZbVwKvAXuAa8Kcsy1fLe92SYqCv4rpJa2wzzpfI7VCo1lIr59bK27pJ+W5u4w5m9TGP8aW+hTGXYnTcwSgjGoJ3C/eRgTCQJgYqOrlUUHpFt3fBrB7sEkIwSZLo5W6Db0iy7noaazWiw5VhDei/gJwCNf9cSWBgy/oVV3ChXnORkhNxVNQYByZ3bESRVsvaUzoSqlzZItS4LcfciWfHZ+ax7Fg4g1vZ0rqBpW7uczcGJjB2AzTwgS1Tka5sYe4AN7IK1Cw6Evb48x9HepTYeSVehdFrRVod8M+VBAz19ejmqjvP1z1IklCdj98CWfGwpCvzGgaglWXmbLlcPiHYzXjR/nT7DCE+e/n4PbnhC/YFE5mayzcjyuHCfhSuz4hdZue3xDPzUxtUBz5kbvd6fDuyFeej0hmz9HTJO1XdNl4bxsLyHsIL1edzUU3Oc/I9ueSFai2f7Qxkymo/6luYsPO1TjyrK02HeX3oPQ9mXYU+n4k0svUj4df2WF1czIahtXi5S2Pm9ndjyQQPahjp87+/rjwoVtQUwY0zwgj/2FI8f9f+FmrwV87CxB3gNhBU+uQXaZj2ux8RKTksHu+BU1lqH1RTdPLkybK8G3hQelhJZNX3wTriKAVJIRjVfbSxvZGWi5MUS46pHTVK0oP5UUiS2DUH7aKV3YzSu2cex/nfxP89JyPLMvuuJtKliXXFGTAjM/Gl2jJFuKa8ptDbvR5rT9/gZFgKPZrqQMBxdpnIMR66BGrasPdCDHlFGt27se+nzQQhxjn6FdRrTmO3QfRsWpc1p6N4uZtz+XLQo8/BtpdF6sXgn+64v77ddx2tFt7uW07PzKMwrAHj/hTGZsuLNO0/n6FtvFh1MpJJHR2pb2FStuveOAN/PCdelOO3Ctcloq3jrsvxdHGpUzGG626ceoi487aXsNr3OgfsezP0+jC++qcmcwc8WDXskWjU4L8GDnwkYrx9v4R20+/ZSZ6NSGPlCR25sB+FoamoVNd2Ahz5SqRWnVvB8BbDcRo0lOE7snhtgz/Ln/d8eBOZ3DSRnnVuOcSeF+r/7nOF18vI7IHDb6Tm8tqGCwTEZDKxfUPe6+9WMe8RY3ORIuY9Ha5uhdO/wv4PqA28Y+Eg+hIUuFDLrSZbAxI4/5cfnjYyZEQJRX70WSjKETHxxt3FnJoOeGBOao2WV9f7czo8jR9Gt67WTU/KwlNR+cusaQ+I+Jr4i/tw7PtowxyRkoOLFIvaSkclDJ16wMV19LaIY0+gIRm5hVia6sCdoi4Qwh7X/mDpwOWYDBJu5vO2ewW+5OHfeNHBT8B9CD6NrahppM/+wMTyG+b0SBHDdu4FLUVVrm3+sTSwMsGzPPnYJUGShGsv5bpIoZq8lxc7N+LAtUS2+scwrl3Dsl03OVjEX81thYtNX4jXrsXfZMuFGKbpSj3/KIzMxO5y82TY/RYfec9il+zFD/tD+HpEGTIPLm0SwjwLO3juT7D+97vy86FQkrMKeEkXQraSUKuhqCN+8mccDn3GCdMT/HqyP9us32FouxJ8F2RZGLD9HwmtRsOOMPjnBwqhpGYXMHODPw5Wprp1YT+KWo4wdLFwAZ9aCJc307rody5a2LMv3JE9q9ozsJOHqC6mpxKd4VLDIOYsRJ4QJU6tnKD/ApETft9G42Z+EXuvJLDrcjzHQ1IwNVSxeHxb+jWvX/Fz0zcULvRWY4TnL2Sf8FglB0PIPry1RXgbAAG3jje2EL+P1s+J8IxjpweqEd5GrdEyZ8tlDlxLZN7gZrrb9VcjngrD7OremsTdlhSFHUN41R9ORFImnaU4pPoDdHNzpx6AhJfGH2jHpZhMujTRgYsvaJcoKHKrytP+wERUehI9mlZAHPZuJEm4fRd3ggMfYzTkF7o2qcOBa0l8rpXLnmMsy0KoJOmJphOSRFpOISfDUpnepXH5c5dLgoEJjFkvio9sGEu7qQdpYWfBimMRjPVyKP0Y0iNFTE9PXxjGu7pg/XQwhJpG+szoVkm5kAYmQnW783Uszn7PrtrteO78REK7NMLZ5sEdVLHkZcCe9yBgvVDpj15zz8sxLDmb5cfCGd7WHk/H0rV1LBd6KiGgcu2P4cFPmB20mdTd+4gLH4pt+9GibOldO1+0WlGa9cpWMZe0cFGidfQ6sfu6L56q0cqio1VuIdtmdKh4T8D91HUXcdp+X8CVLZiFHqRv6AlqRh+HDfcdK6mENqbTG2Iu9ds8kNITnpzNqpORbD4fQ26hhgZWJkzp3Ijn2ztiZ1lGD0p5sGwgyq96TRH/1hRBbirB8Rm8+NtpXBva8e4wnxI9p0EJN5mz+RIBMZnM6tWEiR0cK3bsVcRTYZitzYzZr98S79SzwgA8QsiQEReGsVQE9UvpCnsYplZg74ld4iGEYc7QjWG+8LtIHWksBGb7ribi5ViLWroQNzyO20Kwkz9D24n0drdl1+V4LsZklF1Z7LdCCIgGfCu+qMD+wAQ0Wpn+LSphBX8bs3oiLruyH9KaYczwXszL20RN4N7upfAI3IwXRrkoT6TY3LUDC03KYs/VBF7p5ly5dZ5V+kKgZdsWp71z+cfwXTZtTsD5pVmPzsfUauH6P7D7bdGYocvb0OUdseu5hSzLfLzjKsYGqsrbUd5PnSbojVlLVugpgv/4CI+g9RC8WjTGqGkjqlMV5kJqKKhvicQcO4u5tBhxb+3uu/jpYAjHQlL4cliLKq2PjLGFiAt7TsZEo2XJziOcDQwl++ZNDCQ1Do2bMrBLO9q71CtWrHUlNpOfD4Ww92oihio9BrWyZUL7hrSyt6iyClbFojIAs3q4mtXj5WdN+WL3Nfp878torwb0b1Ef13pm1KlpxM18NbHpecRl5BGXmUdwQhYbz0VjYWLAz2PbMLBlJb43KpmnwjADpNVph0WCL3LKdaRHqK3lpFv5gnV0+HJpNhTV3vfpWjudAF0IwNIjIfywiK/o6RGVmkNwYhYfDtTRYqIkdJ0jGkvsfpPu4/ai0pPYH5hYNsOceFVUVHLuBR6T7/z4nysJ2NcyoVlJeknrkvqtxM75j+fod3YyrS3nsPBwKL3cbEr2Aku4ImK6+Rnw/A6o2+yej389HIaxvorJnSqxM9dtJAm8piA5dkJeNZ6Xkj4h9/s1mHadCU2eEQsTSRIL2JtxELIXTv0KqSFg7Qov7gc7jwcuu+dKAsdCUvh4kHvZmqboEDPn9rjP3snE5UewSTrGLKd0GpnkinQ4cwvhCrV2FtX5aj06RLH9Yiw/HQphWFs7xnhVYAGTUqJS6TF9SA+mDe5OSFI2Oy7GseHsDdavvICDlSmeDWvR2sESlZ7EjbRcrsRmciI0FTNjfWb2cGZCe8cq/zuVhOfaOdC3WV1+PhTKujNRbDgrUhgN9fUeyMc3VOkxuLUtHwxwr5wNShXy1BhmI5eukDCf9MBDWHV9uGE2vXmrH2+dciqy76bZUNg7l7EmfnwYrYMUEv+1wuXb+jkAFh8NQ19Pol/zCqroVBxGZtD3C9j8AhZnFtCuUW/2XU3gnb6upVt9F+aIUnkmlvDs4js7t8y8Ik6EpjCpg2PVrOadusP4rUjrRrJG9REjY17jVJjr40UkQbtF2pWxBUzaJao83cWN1Fy2B8QxqYOjblI3ykodV8xfP8Gn333NyJxtNN05C5glKhtZ2Il+z4XZ4tj6rUVFsWbPFrurzC1U8+nOQJrWM2O8Txlj8TrG0tSQZdO6M2WVGT0C05jb340pwxuV6lnadzWB2X8G4OVoxefPtqheu8pbSJJEk7pmvNXXlVd7OLMjII59VxPxDUlhq78oF2Go0sPeyoS3+jTh+Q6OmBtXbTeu0lK7phEfD27GG71cCIy/SXBCFrHpedQ1N8bW0gRbS2PsaplgXcOockJe1YCnxjA3adqSOF8r5ODD0PXlYo/JzCvCtugGOSZ1qPGQzi9lwtwWGnbEJ+UISVm9SMjMp55FGcvr3a5p69wLLOy5Fn+TjeeimdShEbaVHR9qPgzCDsKxBUzxaMSUsFoEJ2bRtF4Jd7iyDHveFYKrCdtEeb9bHApKpEgj80xlurHvp2F7mLidmutGsdNoLrv/ugAzfxSq2ftJj4TDX8KljbdKLm4QKSL3sehoGCpJYlqXShJHPQJDQ0N6jniZfsvb8IVXPs81SBc1vDNjoFFXsTit3wbs2j4y/PPLoVDiMvP5cWybh6uEqwAzYwNWT/Zm9p8X+WzXNSJScvh4cLMSFco4ej2ZV9f708LOgpWTvCq2M5yOMDZQMcqzAaM8GyDLMvGZ+chAPXPjat9ysSRYmhrSwcm66rptVSOeGsPsWt+cv2hF/8STwripHpxaREoOTlIseZYu6LyvUIvhWO6chbsUxcXoDPpZlHF3G3YQsuKg/zfIssxnuwIxNzHg9Z46UpGXlv4LIO4i3a/+D3tpHjsD4ktumI9/J2LlnWaLHepd7L6cQD1zY1rbV0B+b2mw80B69Rxha95gcPyfFP5wFEPX3kL8ZFpbuHjjL4mcUz2VSAXp9l6xxjs2I48t52MY4Wlf6b2RH0YHZ2uebW3HRxfiadelH07epcv1DE/OZtmxcIa1tbvTcaw6YWKoYuFzbZm/L5hFR8K4Fn+TeYOb08JeLLzDkrPxi0yjg5M1DaxMyS8SLQCX+obhWs+c1S94P7oMZTVFkqTKX6grVBpP3hP5EFR6Eok2nTFJPkxB1BmMGnd84JiI5Cz6SLEU1e2m+wG4DUHe/TbDDE9zLKRL2d3O51dDDRto0o9DQUmcCE3lo0HuVdcs3sAERv2O3pKurK35EzMDLHizTwkqBZ1bLlKuWoyCHh/c81FOgRrf68mM9S6DEroiMLXCftJKpnz1M6+yjzbXdopwwm2MLUXOaZd3it0l3+bbfcEgUaVdaYpj7gB3DgUlMfV3P/6c3r7EbSdlWeajHVcx1lfx3jM6rlymQ/T0JOb0a4prXTM+3RnI4IXHGdzKlvjMfM5G/NuExcuxFum5RYQmZTPGqwHvD3B74ty+Cv8Nqo9fSge06TaMIllF2PEtxX6eHBtODamAGvaPaeFWFmrURmrcnaEGpzkQmFC29nuZMUId22YcGkmfz3dfo7F1jaqP69V2gpG/Ya+J5ofsOQRfu/zwY2VZLC52vSXERs/++oAi+HBwEgVqbeXGzB9DDSN9WnUayNC0Vzkz0g9eOiFa4r0dDu9GiRzoRxjlq3GZbPOP5YWOVZSS8gjqmBmxYpIXcRl5jF9+pkTlOmVZ5qeDoRwLSWF2nyZPhJDo2TZ2HH67G9M6N2b35XgSb+bzTj9Xdr7Wibf7upKRW4RGK7N6sjdfDW+pGGWFastTs2MG8HF35LKBOzUiD6ItJuc2OVxksxvUq6DVf/Ph1A7dj13BFa7Eet9xp5WY86uEYfOczKmwVMKTc/hxTOvKa6L+KFx6kzd2K7XWjsZw62DQXyri4Hcb3cxY0Q7u+h4Rwxy5qlgx0faLcVjXNKp2rtEXOzdi0/lo3vtLNK830i953PGrf4KwMDGovLzlUuLlaMWy5z2ZssqPib+dY/ULXg8thJNToOatTQH8cyWBZ1vbMqGqF4alwNzYgPf6uzGrdxMMVXp33gHN7SyqnSdDQeFhVIM3vu6QJAlV0344aSM5dv7iPZ+FJmWjrYhUqbtpOgDZoAbj9Q+w/1opGz+oC8VOs0k/sHRgq38MZkb6FddbtwyYuXRigd2PZKoNRB3cn1rDoc9EVaWNE+BXHwg/Kmr1TtgGBg/GWVOyCzgclMTQNrbVTrBiaqjPZ8+2IDw5h18Pl7zWtO/1ZI6FpPBqd2fddv3SMZ1d6vDLc20IjMuk/4/HOB91b6/tzLwi1p2JYvAvx9l7NYG5/d34fnTraiX4KinGBqrqESZRUCgDT9WOGcC10zC4Mp9rvlvo6tXmzs//9IumpV4kWlNr9B5S6q3cGJsjtZ3A4DPLmHQlEHqXIiUr6G/ISQKvF8ktVLP3SgIDW9pWXF3sMuLp5UO3jfPZ0zeTxjc2g+980DMQ+aLOvUQNYKuHK5L/8o9FrZUZWZFN78tB1yZ1GNyzi3FSAAANrUlEQVTKlkVHwhjUyhZnm0eLpbIL1Mz7+yr2tUyY0L767yz7NKvHlpc78Op6f0YtOc0oT3sK1TLxmaI/daFaS5O6NVn1grduCuUoKCiUmqfOMOvXdSPb2BanjJOcCkulvVNtCtVadvqFMUvfH70mQyt2AO2mozqzBJ/UrcRm9C15vPHcClEr1qkH+y/Fk1OoqZY1YHu51QV9I37L9ODTiRNFO0XDmveWRHwIsiyzyS+GVg0s/9/enUdXVZ57HP8+JCEjgwSCkIEIVUOESEgUKSC1oTXUIRTBYoGqrZfeu9oLDutSrFZXu6xXW297aWtx0drYIlosoFJqq8igVuMYZkJkMIQkJMDSmMiQEPLcP/YJF5kak52z9z4+n7Wycs7Z5+zze1eS8+R9997vy0X92zlNpAd+dG0268r3c8eSDTx526iz9oJbW5U7l2xw1kD+9uWfaejbSzlpvVk5eyz3PruFZe9Vk5zUnf4945h2WTpT8tIYnuqzmaKM+Zzp1BiViEwVka0i0ioi+W6F6hQR4rInMjZqC3c9/TbV9UdYXVZHztF3iNfDMHxq175/n8EcHlzI9KjVrN1c0b7X1G2DPa9D/negWzeWl1aT2jueURf46xgsONeOXjN8AM+tr+ZQU4sz0UY7ijLA5uqPKa9rZGpeF68k1Un9esTyy2+MYHttAzMfP/vJUvNX7+ClbXXc87WhjAnY6jY942L41U25lD9QSMndBTz3vTH8pGgYOWm9rSgb47HOHjzaAkwGXnUhi2uis64mniaGH9vErcVvU/xGBdNiS9DEFGe6vi6WOH4258knNJc+1b4XvD4fouMgdwb7G4/y2o4DFI0Y6NtjZDOuGERjUwvPb6j5TK/7y7tVxEY7c/j6XcHQ/jw2I4/t+xr55u/eoqb+yIltR48dZ8G6XcxfvYMpeWncOibTu6CdZEXYGP/p1FC2qpaBD/+4M8dBfB8eSXyBvJpLiGs9zNj4UmTYbe3u3XVKxmj2JWQx/sOlfHz4XnolnONSk9otzmxSY2ZDQh9WvLabVoXJI/03jN1mZEZvsgf05E8lFdx0eXq7fv5Hjx3n+Q3VXH3J+b4+QepkBUP7s/Bbecxa9B5jHl7D6MHJjMw4jyXv7uVAYxNfzkrhgUnD/Pf7b4wJtOCdbtke3RNg4s/ocXADS3M3Mr3nRqL1WNcPY7cRoXnU9xkiNWx/4bfnfu7qHzuLi4+9A1VlWWk1w1N7tX+pPg+ICDNHD2J7bSOllR+16zXPra+m4WgLU/P9PYx9qi9dnMLLd4xnTsGF1NQf4Tdrd/KFfkn8edYV/OGWy3x3cp4xJvj+ZY9ZRF4GznTNzj2q+nx730hEZgGzADIyMtodsMOGT4EtS8kp/zU5yUOg+QJnTuAwyRg3nU2vLiB76yNQOONT80SfUPFPZwHxCT+G+PNYX/kRZfsa+OnXu2ACFJcVjRjIg38rY1HJHvIGnftY+JFmZxrE3IzejA3YsViAjOQEbp9wEXMKLuTgJ82BmGzDGBNc/7LHrKoTVHXYGb7aXZRD+1moqvmqmt+vXxguwxBxZmuKioG6LU5vOYxDjtKtG+X5PyG29QgNK+ae/gRV5/rfHgNh1HcBWPxmJYndoyga4d9h7DYJ3aO5IS+NFzbXcvCTpnM+t/iND6htOMq8wqxAD/uKiBVlY0yXi8yh7DY9B8LEhyEqFnK+Efa3/9LYcSxsvZ6e7y+H3ev+f8PxFlh5O1S/C1fdDTHx1B9uZuWmGiblpgZmUv2ZowdxrLWVx//5wVmf89GhZhas20VBVgqjBieHMZ0xxgRTZy+X+rqIVAGjgb+JyIvuxHLRiG/CvEpn4fQw69cjlm1D/o29nI8umQEv3gP7y+Dpac70m+PugtyZACwrraappZXpo/w/SUWbIf2SKLp0IMWvf8D+xqNnfM6ja3dyqKmFuYVdNNuaMcZEmE4VZlV9VlXTVDVWVfur6tVuBXPVGaaGDJdJlw3hW03/RV3KlfDmAmfayl1r4Lr5UHAfiKCqLH5rD7kZvcke2M4lFX3i9gkXcey48uianadtK69t5E8le7hhZBoXn+/fk9mMMcZPInso2weuykqhMXEQP4q5E+ZshPE/gBnLIO+WE895c/eH7D5wKFC95TaZfRO5MT+dp96upOqjwyceP3a8lTuf2UCPuGjmTbTesjHGtJcV5i4WE9WNqfnprC6ro6KlD1z1Qxhy1Yntx1uVh/6xneTE7lybc/ZlBf1sdsEXEBF+ser9E8td/nrNTrbWNPDg5OEkt3P9X2OMMVaYw+LWL2YS3a0bC1/bfdq2RSUVbNxbz33XZQf2mtgBveK5efQglpdWU/A/r/DQ37fz6NqdTM5N9dXqWMYYEwRWmMMgpWccN+SlsfS9qk+dJFVTf4Sfv1jOlaEVjYJsbmEWP5uSQ3JSdx57ZRcpPWK5//pLvI5ljDGBE4zrciLAd68czJJ3Kil+vYIfFGahqty/YivHVflpBEzrGBPVjRvz07kxP52Kg4eIi4kKzNSbxhjjJ1aYwySzbyIThw/gyZI9XJrWi4Wv7qa0sp55E7NI75PgdTxXZfZN9DqCMcYElg1lh9F/jB9CY1ML//5kKXUNTTwwaRizxg32OpYxxhgfsR5zGA1L7cW91wwlKTaaySPT6B5t/xcZY4z5NCvMYXab9ZCNMcacg3XZjDHGGB+RtgkhwvqmIgeAPS7usi9w0MX9+YW1K3gitW3WrmCxdvnPIFVt19KKnhRmt4nIu6qa73UOt1m7gidS22btChZrV7DZULYxxhjjI1aYjTHGGB+JlMK80OsAXcTaFTyR2jZrV7BYuwIsIo4xG2OMMZEiUnrMxhhjTEQIfGEWkUIRKReRnSIyz+s8bhCRdBFZKyLbRGSriMzxOpObRCRKRNaLyEqvs7hFRHqLyFIR2S4iZSIy2utMbhCRO0K/g1tE5GkRifM6U0eJyB9EZL+IbDnpsT4iskpEdoS+n+dlxo44S7t+Hvpd3CQiz4pIby8zdsSZ2nXStrtEREWkrxfZulqgC7OIRAGPAhOBbOAmEcn2NpUrWoC7VDUbuAL4XoS0q80coMzrEC6bD/xDVbOAS4mA9olIKjAbyFfVYUAUMM3bVJ3yBFB4ymPzgNWqeiGwOnQ/aJ7g9HatAoapag7wPnB3uEO54AlObxcikg58FagMd6BwCXRhBi4HdqrqblVtBv4MFHmcqdNUdZ+qloZuN+J8yKd6m8odIpIGXAP83ussbhGRXsCVwOMAqtqsqvXepnJNNBAvItFAAlDjcZ4OU9VXgQ9PebgI+GPo9h+BSWEN5YIztUtVX1LVltDdN4G0sAfrpLP8vAB+CcwFIvYEqaAX5lRg70n3q4iQAtZGRDKBXOAtb5O45n9x/qhavQ7ioguAA0BxaIj+9yIS+LUvVbUaeASnZ7IP+FhVX/I2lev6q+q+0O1aoL+XYbrIt4G/ex3CDSJSBFSr6kavs3SloBfmiCYiScAy4HZVbfA6T2eJyLXAflV9z+ssLosGRgILVDUXOEQwh0Q/JXS8tQjnH4+BQKKIzPA2VddR5xKViOqFicg9OIfGFnudpbNEJAH4IXCf11m6WtALczWQftL9tNBjgSciMThFebGqLvc6j0vGANeLSAXOYYcvi8iT3kZyRRVQpaptoxpLcQp10E0APlDVA6p6DFgOfNHjTG6rE5EBAKHv+z3O4xoRuQW4FpiukXFd7BCcfxI3hj5D0oBSETnf01RdIOiF+R3gQhG5QES645yYssLjTJ0mIoJzvLJMVX/hdR63qOrdqpqmqpk4P6s1qhr4Hpiq1gJ7ReTi0EMFwDYPI7mlErhCRBJCv5MFRMBJbadYAdwcun0z8LyHWVwjIoU4h4yuV9XDXudxg6puVtUUVc0MfYZUASNDf38RJdCFOXRyw/eBF3E+MJ5R1a3epnLFGGAmTo9yQ+jra16HMuf0n8BiEdkEjAAe9DhPp4VGAJYCpcBmnM+LwM68JCJPAyXAxSJSJSLfAR4CviIiO3BGCB7yMmNHnKVdvwF6AKtCnx+PeRqyA87Srs8Fm/nLGGOM8ZFA95iNMcaYSGOF2RhjjPERK8zGGGOMj1hhNsYYY3zECrMxxhjjI1aYjYkQIpIhIp+EFncxxgSUFWZjAkxEKkRkAoCqVqpqkqoe9zqXMabjrDAbY4wxPmKF2ZiAEpFFQAbw19AQ9tzQ4vHRoe3rROQBEXkjtP2vIpIsIotFpEFE3gmtXta2vywRWSUiH4pIuYjc6E3LjPl8s8JsTECp6kyc+ayvU9Uk4JkzPG0azvSuqTiLAJQAxUAfnGls7wcILVO5CngKSAm97rcikt3FzTDGnMIKszGRrVhVd6nqxzhr8u5S1ZdD88z/BWetb3BWIapQ1WJVbVHV9Tirm031JrYxn1/RXgcwxnSpupNuHznD/aTQ7UHAKBGpP2l7NLCoa+MZY05lhdmYYHNrFZq9wCuq+hWX9meM6SAbyjYm2OqAwS7sZyVwkYjMFJGY0NdlIjLUhX0bYz4DK8zGBNt/A/eGhqCndHQnqtoIfBXnpK8aoBZ4GIh1I6Qxpv1sPWZjjDHGR6zHbIwxxviIFWZjjDHGR6wwG2OMMT5ihdkYY4zxESvMxhhjjI9YYTbGGGN8xAqzMcYY4yNWmI0xxhgfscJsjDHG+Mj/AZQHtRMTaUrEAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0, 0].real / np.sqrt(gamma), 'r', alpha=0.025)\n", " plt.plot(times, m[:, 0, 1].real / np.sqrt(gamma), 'b', alpha=0.025)\n", " \n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,0].real / np.sqrt(gamma), 'r', lw=2);\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,1].real / np.sqrt(gamma), 'b', lw=2);\n", "\n", "plt.plot(times, result_ref.expect[1], 'k', lw=2);\n", "plt.plot(times, result_ref.expect[2], 'k', lw=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.0%. Run time: 2.00s. Est. time left: 00:00:00:18\n", "20.0%. Run time: 3.83s. Est. time left: 00:00:00:15\n", "30.0%. Run time: 6.04s. Est. time left: 00:00:00:14\n", "40.0%. Run time: 8.52s. Est. time left: 00:00:00:12\n", "50.0%. Run time: 10.81s. Est. time left: 00:00:00:10\n", "60.0%. Run time: 12.66s. Est. time left: 00:00:00:08\n", "70.0%. Run time: 14.80s. Est. time left: 00:00:00:06\n", "80.0%. Run time: 16.94s. Est. time left: 00:00:00:04\n", "90.0%. Run time: 18.78s. Est. time left: 00:00:00:02\n", "Total run time: 20.38s\n" ] } ], "source": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=ntraj, nsubsteps=nsubsteps, solver=\"milstein\", # order=1\n", " method='heterodyne', store_measurement=True, noise=result.noise)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_expectation_values([result, result_ref]);" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for m in result.measurement:\n", " plt.plot(times, m[:, 0, 0].real / np.sqrt(gamma), 'r', alpha=0.025)\n", " plt.plot(times, m[:, 0, 1].real / np.sqrt(gamma), 'b', alpha=0.025)\n", " \n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,0].real / np.sqrt(gamma), 'r', lw=2);\n", "plt.plot(times, np.array(result.measurement).mean(axis=0)[:,0,1].real / np.sqrt(gamma), 'b', lw=2);\n", "\n", "plt.plot(times, result_ref.expect[1], 'k', lw=2);\n", "plt.plot(times, result_ref.expect[2], 'k', lw=2);\n", "\n", "plt.axis('tight')\n", "plt.ylim(-25, 25);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software version" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.4.0.dev0+21a52e95
Numpy1.16.0
SciPy1.2.0
matplotlib3.0.2
Cython0.29.3
Number of CPUs2
BLAS InfoOPENBLAS
IPython7.2.0
Python3.6.7 (default, Oct 22 2018, 11:32:17) \n", "[GCC 8.2.0]
OSposix [linux]
Fri Feb 01 13:43:38 2019 JST
" ], "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] }, { "cell_type": "code", "execution_count": null, "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 1 }