{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "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", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "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", "$\\displaystyle d\\rho(t) = dN(t) \\mathcal{G}[a] \\rho(t) - dt \\gamma \\mathcal{H}[a^\\dagger a] \\rho(t)$\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 = A\\rho + \\rho A^\\dagger - \\mathrm{Tr}[A\\rho + \\rho A^\\dagger] \\rho $\n", "\n", "and $dN(t)$ is a Poisson distributed increment with $E[dN(t)] = \\gamma \\langle a^\\dagger a\\rangle (t)$." ] }, { "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", "$\\displaystyle D_{1}[A]\\rho(t) = - \\gamma \\mathcal{H}[a^\\dagger a] \\rho(t)\n", "= -\\gamma \\left( a^\\dagger a\\rho + \\rho a^\\dagger a - \\mathrm{Tr}[a^\\dagger a\\rho + \\rho a^\\dagger a] \\rho \\right)\n", "= -\\left( A^\\dagger A\\rho + \\rho A^\\dagger A - \\mathrm{Tr}[A^\\dagger A\\rho + \\rho A^\\dagger A] \\rho \\right)$\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", "collapsed": false, "input": [ "N = 15\n", "w0 = 0.5 * 2 * pi\n", "times = linspace(0, 15, 150)\n", "gamma = 0.15" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "a = destroy(N)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "H = w0 * a.dag() * a" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "rho0 = fock(N, 5)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "c_ops = [sqrt(gamma) * a]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "e_ops = [a.dag() * a, a + a.dag()]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "result_ref = mesolve(H, rho0, times, c_ops, e_ops)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values(result_ref);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solve using stochastic master equation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# The argument A in the d1 and d2 callback functions is a list with the following\n", "# precomputed superoperators, where c is the stochastic collapse operator given\n", "# to the solver (called once for each operator, if more than one is given)\n", "#\n", "# A[0] = spre(c)\n", "# A[1] = spost(c)\n", "# A[2] = spre(c.dag())\n", "# A[3] = spost(c.dag())\n", "# A[4] = spre(n)\n", "# A[5] = spost(n)\n", "# A[6] = (spre(c) * spost(c.dag())\n", "# A[7] = lindblad_dissipator(c)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\displaystyle D_{1}[a, \\rho] = -\\gamma \\left( a^\\dagger a\\rho + \\rho a^\\dagger a - \\mathrm{Tr}[a^\\dagger a\\rho + \\rho a^\\dagger a] \\right)\n", "\\rightarrow - (\\{A^\\dagger A\\}_L + \\{A^\\dagger A\\}_R)\\rho_v + \\mathrm{E}[(\\{A^\\dagger A\\}_L + \\{A^\\dagger A\\}_R)\\rho_v]$\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def d1_rho_func(A, rho_vec):\n", " n_sum = A[4] + A[5]\n", " return - n_sum * rho_vec + expect_rho_vec(n_sum, rho_vec) * rho_vec" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "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": "code", "collapsed": false, "input": [ "def d2_rho_func(A, rho_vec):\n", " e1 = expect_rho_vec(A[6], rho_vec) + 1e-16 # add a small number to avoid division by zero\n", " return [(A[6] * rho_vec) / e1 - rho_vec]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, c_ops=[], sc_ops=c_ops, e_ops=e_ops, \n", " ntraj=5, nsubsteps=100, d1=d1_rho_func, d2=d2_rho_func,\n", " distribution='poisson', store_measurement=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 6.71s. Est. remaining time: 00:00:00:26." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 13.41s. Est. remaining time: 00:00:00:20." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 20.11s. Est. remaining time: 00:00:00:13." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 26.81s. Est. remaining time: 00:00:00:06." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 33.52s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pVMLBwQE7d+5s87N4NzsREVHXcD5zIiIiK8P5zImIiPoYhjkREZHEMcyJiIgk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\njAxcv34dgiDg4MGDCA4OFrs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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.step(times, m)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/usr/local/lib/python3.3/dist-packages/numpy/core/numeric.py:460: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return array(a, dtype, copy=False, order=order)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, c_ops=[], sc_ops=c_ops, e_ops=e_ops, \n", " ntraj=5, nsubsteps=100, d1=d1_rho_func, d2=d2_rho_func,\n", " distribution='poisson', store_measurement=True, noise=result.noise)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 6.01s. Est. remaining time: 00:00:00:24." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 12.03s. Est. remaining time: 00:00:00:18." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 18.04s. Est. remaining time: 00:00:00:12." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 24.05s. Est. remaining time: 00:00:00:06." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 30.06s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pVMLBwQE7d+5s87N4NzsREVHXcD5zIiIiK8P5zImIiPoYhjkREZHEMcyJiIgk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\njAxcv34dgiDg4MGDCA4OFrs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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.step(times, m)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using QuTiP built-in photo-current detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=5, nsubsteps=100,\n", " method='photocurrent', store_measurement=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 5.63s. Est. remaining time: 00:00:00:22." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 11.25s. Est. remaining time: 00:00:00:16." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 16.85s. Est. remaining time: 00:00:00:11." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 22.45s. Est. remaining time: 00:00:00:05." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 28.07s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Dhg2ws+NX90RERJ1l1qpp7b00fuuoWxAE7Ny5E56enoiMjIRarW7z/FWrVhmf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\n4O/vjzlz5uD777/H/PnzxS7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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, c_ops=[], sc_ops=c_ops, e_ops=e_ops, ntraj=5, nsubsteps=100,\n", " method='photocurrent', store_measurement=True, noise=result.noise)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 4.92s. Est. remaining time: 00:00:00:19." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 9.84s. Est. remaining time: 00:00:00:14." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 14.76s. Est. remaining time: 00:00:00:09." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 19.69s. Est. remaining time: 00:00:00:04." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 24.62s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Dhg2ws+NX90RERJ1l1qpp7b00fuuoWxAE7Ny5E56enoiMjIRarW7z/FWrVhmf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\n4O/vjzlz5uD777/H/PnzxS7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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.step(times, m)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Homodyne detection" ] }, { "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", "collapsed": false, "input": [ "def d1_rho_func(A, rho_vec):\n", " return A[7] * rho_vec" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "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", "collapsed": false, "input": [ "def d2_rho_func(A, rho_vec):\n", " n_sum = A[0] + A[3]\n", " e1 = expect_rho_vec(n_sum, rho_vec)\n", " return [n_sum * rho_vec - e1 * rho_vec]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, \n", " ntraj=5, nsubsteps=100, d1=d1_rho_func, d2=d2_rho_func,\n", " distribution='normal', store_measurement=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 4.45s. Est. remaining time: 00:00:00:17." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 8.90s. Est. remaining time: 00:00:00:13." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 13.35s. Est. remaining time: 00:00:00:08." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 17.81s. Est. remaining time: 00:00:00:04." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 22.26s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2TcopGGOMsTpPUjN1jx49EBUVhdjYWBQXF2Pr1q0YNWqUXLExxhhj9YKkmrGl\npSW+/PJLDBs2DDqdDrNmzYKPj49csTHGGGP1guIrcDHGGGOsarwCF2OMMaYyTsaMMcaYyjgZM8YY\nYyrjZMwYY4ypjJMxY4wxpjJOxowxxpjKOBkzxhhjKuNkzBhjjKmMkzFjjDGmMk7GjDHGmMo4GTPG\nGGMqk5SMCwsL0bt3bwQEBMDX1xcLFy6UKy7GGGOs3pC8UYRWq0WTJk1QWlqKfv364aOPPkK/fv3k\nio8xxhir8yQ3Uzdp0gQAUFxcDJ1OBwcHB8lBMcYYY/WJ5GSs1+sREBAAZ2dnDBw4EL6+vnLExRhj\njNUfQiZZWVmid+/e4vDhwxV+7unpKQDwwQcffPDBR704PD09a51DZRtN3bx5czz22GM4ffp0hZ9H\nR0dDCFFnj0WLFqkeA18fXxtfX907+PrM94iOjq51DpWUjNPS0pCVlQUAKCgowIEDBxAYGCilSMYY\nY6zesZTy5qSkJEyfPh16vR56vR5PP/00Bg8eLFdsjDHGWL0gKRl36dIF4eHhcsViloKCgtQOQVF1\n+frq8rUBfH3mjq+vfpE8z7jaE2g0UPgUjDHGmMkwJO/xcpiMMcaYyjgZM8YYYyrjZMwYY4ypjJMx\nY4wxpjJOxowxxpjKOBkzxhhjKuNkzBhjjKlMUjKOi4vDwIED0blzZ/j5+eHzzz+XKy7GGGOs3pC0\n6EdycjKSk5MREBCAvLw8dO/eHTt27ICPj8+dE/CiH4wxxuoRoy/64eLigoCAAACAjY0NfHx8kJiY\nKKVI2Tz1FDB0KHDoEMD3AowxxkyZbH3GsbGxOHv2LHr37i1XkQY7dgw4fhx44gngxReBXr2Ajz4C\nLlwwv8QsBBARAeTnqx0JY4wxpUjaKKJMXl4eJkyYgM8++ww2Njb3Pb948eLyr4OCghRdIFwI4I03\ngPfeA55+Gpg5E9i3D9izBxgzBmjUCLh4EbAwk6FrK1cCH34IFBQAXl7A9OnAa6+pHRVjjLEyoaGh\nCA0NlVSG5I0iSkpK8Pjjj2P48OF49dVX7z+BkfuMf/sNWLwYCA8HGjS4/3l3d+DIEcDDw2ghGWzr\nVmD+fKrlOzoC584BEyYAGzcCvOEJY4yZJqP3GQshMGvWLPj6+laaiI2ttBRYuBBYsaLyRAwAvr7U\n7Gvqjh0DXnoJ2L0bcHOjGn3v3sBXXwGzZwNardoRMsYYk4ukZPzXX39h06ZNOHz4MAIDAxEYGIiQ\nkBC5YqvKyIlcAAAgAElEQVS1zZuB1q2BYcMe/BpzSMYZGcDEiVQD7tq14nMjRwI9ewLvvKNObHKJ\njwfCwoAzZ4CoKLWjYYwxdUnqM+7Xrx/0er1csUi2bx8wdSqg0Tz4Nb6+wF9/GS8mQ7zzDvVvP+im\n4vPPAT8/GqDWq5dxY5PDX38BY8dSV0FJCXDzJvD++8Dzz6sdGWOMqcNMhjFVTwjg6FGgf/+qX+fj\nY9o14/PngV9+oeT0II6O1C/+4YdGC0s2oaGUiDdtAk6coL79sDC6nn371I6OMcbUIXkAV7UnMNIA\nrhs3qE81KanqmnFGBtC2LZCTU/Xr1CAEMGAAzZGurpaYlgZ4etL1NmlinPikOnKEmt+3bgUGDqz4\n3PHj1Bpw4ADg769OfIwxJgejD+AyJUePAv36VZ9gHRwAGxvqszQ1mzcDeXnAnDnVv7ZlS2qiVrGL\nvlb0ehqQ9n//d38iBoCHHwa+/JISsk5n/PgYY0xNdSoZV9dEXcZUB3GtXFn1SPB7jR8PbNumbExy\n2b0bsLQERo9+8GueeAJwcgL27zdeXEpJTwdyc9WOgjFmLupMMj52rHbJ+PJlZeOprdhYqq1XVmt8\nkLFjgb17gcJCxcKShRDABx8Ab75ZfcvFzJnA2rXGiUtuKSnAokXUXeLhAbRpA0yaRDciJjTOUbLE\nRODTT2lhnZQUtaNhrG6oE8k4PZ0S2b3TgB7EFGvGO3fStCXLWoxvd3YGAgKon9WUHTxIffTjxlX/\n2kmT6HrS0pSPS05ZWUBwMJCQACxfTvFHR9PiLAsWAMuWqR2hdDdvAoMH00j+8+fpWjt1Ap59lr5m\njBmuTiTjY8eAhx6qeSIzxWS8Ywf1l9aWOTRVl9WKa7IEafPmdFPy44/KxyWXggKKedAgYM0aat1o\n2BBo0YIG4u3bRzXJixfVjtRwBQXUEjNgANWM160DvvkGiIykAYSjRwPFxWpHyZj5qhOjqefPpw/x\nt96q2etTU4GOHalGbQojqtPTgfbtgeRkoHHj2r03IYFaBJKSKAGYmrAwGh0eGVnzm6XDh4FXXqHa\nlyn8fqpSWko3RDY2tEjLg2441qyhwWt//1271g9TIATwzDN0rZs23f87EYIStacn8PHHqoTImElR\nZTT1zJkz4ezsjC5dukgtymBlI6lrytGRBkmZSn/Xnj3U/FfbRAwArq50Y3HokPxxyWHzZuoHrk0C\nGjCARpWHhysXl1zWrKGbqXXrqq75z54N2NnR7mHm5ssv6cZozZrKb440Gurn37aN/pbNnU5HrRjH\nj5vfLm/MfElOxjNmzFB1Ccz8fNoasbY7N5rS4h+GNlGXGTMG2LVLvnjkIgRd29ixtXufhQXVxEx9\nIFdWFi1Wsnp19a0SGg3w3XeUjGNjjRGdPGJi6Bp//bXq+ewODtS1MGsWtdKYo2vXqN/fzo5aO6ZN\no5tkc7gpZOZPcjLu378/7O3t5Yil1goKgP/8B+jRo/a1SlPpN9ZqaYDTY48ZXsbIkcDvv5veXfzZ\ns7TBha9v7d87fTqwZYtpjxR//31g1KiaL1LSti3NITenldOWLQNeeIG6UarTrx8wZQqwdKnyccnt\nyBGKf+RIIC4OuHoVuHIFePJJ+r/5xhum9//LEFot1fr37KFWq4ICtSNiZcx2ANfRo/QhmJZm2AAm\nU0nGBw8C3bvTYB9DdeoEWFvTFoum5LffqNZuSL9v27b077Jjh/xxySEqCvjhh6qXLa3MvHl0k5GY\nqEhYsrpxA9i+nWKuqQULqIZsTqOrN2ygOe6bNgEvv0w1Y4C6Vp57jqZBhoQAn3yibpxS/fEH0K4d\nXesXX9Dfb4cO1GJTWqp2dMwoQ0kWL15c/nVQUBCCJG7Ge/48TZNZs8bw5l1fX2p6U9uuXVS7kkKj\nuVM7DgyUJy457NhBg5YMVTbneNIk+WKSyxtvAK+/TtPLasPJiZo/P/7Y9Ac7LVtG05Zqc6Po5ERN\n1cuX0we+qTtxggaAhoZS11Vl7OxornifPjR/vLbdLqbgq6+Ad98Ffv654l7oJ07QDdS331KybtZM\ntRDNWmhoKEJDQ6UVImQQExMj/Pz8Kn1OplNU8PjjQnz+ubQyEhKEcHSUJx5D6XRCtGolRFSU9LIO\nHRKie3fp5cglKkoIFxe6RkMVFAjRooUQsbHyxSWHS5fo2goKDHt/XJwQ9vZCpKbKG5ecbtwwPMaU\nFHpvfLz8cckpN1cILy8htm2r2etPnxaiZUshzpxRNi65LVwohI+PENeuVf68Xi/ECy8IMWSIEEVF\nxo1NTuHhQnTrJkTDhkJYWtLj3LlCZGQYPxZD8p7ZNVMfPw788w/dsUvRqhXNi1RzcYmzZwFbW8DL\nS3pZ/foB16+bTvPnjh0097Qmc4sfxNqaasXr18sXlxy++YZqf9bWhr3fzY02zPj0U3njktOKFdS/\n3bJl7d97d+3YlL3yCq3aN358zV7fvTu1Zjz7rPmsqLZlCx3HjtHUs8poNLQta+PG9Ds3t77x4mLa\ndvbRR4FXX6UFhrRaWgiqtJRaPNasMYPfmdQ7gEmTJolWrVqJhg0bCjc3N7F27VrJdwgPotcLMWCA\nEN9/L095ffoI8eef8pRliCVLhJg3T77yJk8W4ttv5StPiocfFmLfPunlnD4tRLt20mrYcsrLE8LB\ngWqOUkRHU63f0Nq1klJShLCzEyI5WVoZ9vZCJCXJF5ecfv1VCE9PIXJyavc+vZ4+N+75mDNJly5R\nTT48vGavz8sTolcvId5/X9m45JSfL8TgwUI89pgQiYmVv+bMGSGmTROiuNh4cRmS9+RvQ773BDIm\n4/37hejQQYiSEnnKmzVLiG++kacsQ/TqJcQff8hX3k8/0R+l2pKS6MNcjiYvvV6Irl3l/XeS4rvv\nhBg5Up6ygoOF2LxZnrLktGiREHPmSC/n2WeFePdd6eXIrahIiLZthQgNNez9J09S91J2tqxhySon\nR4hOnWp/0xAfTwn8wgVl4pJTXp4QAwdSoi0tVTuaigzJe2bVTL1kCQ1CkGsFIzVHVKek0PSJ2ixW\nUp1HHwX+/JPmXqtp1y6KRY4VwTQamua0aZP0suTw9dfV7zVdUzNm0GIhpqSggAb7vPaa9LL+9S9q\n0i8pkV6WnL7/npouBwww7P09ewLDhtV+JL0xvfEGbUs6Y0bt3ufqStc1Z45pb2Wq1QKPPw64u9Mg\nz5rudGfKzCYZl5YCp09LH3l8NzUX/ti3DxgyRN4lLO3taeOIY8fkK9MQv/0m74jTceNopLja0y9O\nn6bVtoYNk6e8MWOozLg4ecqTw4YNtIBOp07Sy+ralcZDmNL0tIICWiv9vfeklbNsGSWB6Gh54pJT\neDj9HzR0tP6cOYCVFd14mqqXX6aZDN9/XzcSMWBGyTgmhgZdGbJk5IOoWTPes4fu7OQ2cCCt7ayW\nnBzgr7+oZiyXdu3oDljtm4yvv6Z5p3L952/cmOZ8btggT3lS6fXAqlU0ZUsuL71kWlOcvvmGFgnq\n0UNaOS4uwNy5prfAiV5PcX3wwZ350rVlYUFTEhcvpp26TM327TQVbc2aupOIATNKxlev0hrMcmrT\nBsjOpmUNjam4mLYJHD5c/rLVTsZ799IIVbnnK44dq+68cK2WPgSeeUbecsuaqk1hBOvu3TS6/5FH\n5Ctz9Gga5X/+vHxlGiovj0aJv/uuPOW9/DLV+m/ckKc8OWzaRC1ItW2evlenTtTNsHChPHHJJT4e\nePFFWljG1lbtaORVr5OxhQU1VV++LG+51Tl2jK6ltgtG1MRDDwGXLlENVQ1S19l+kLFjqelNraS1\naxf927q4yFtuz560ZOjRo/KWa4gvv6TVtuTcKcvKivrYV6+Wr0xDffMN9RPXdN/z6jg4mNbypjk5\ntDzwl19Km1JYZv58urE3lbW59XpaMOfll2u/F4E5qNfJGFCnqXrPHmlrUVfF2hro1UudD/eiIlo2\nUM5+/TK+vrRRwenT8pddE5s20brLctNoqBbzww/yl10bMTH0oVvTObe1MWcOrfyk1g0iQIPIPvuM\nVpuS02uv0RrPpjC//5NPaBxKr17ylGdjA7z9tvz/ZoZav55aqP7zH7UjUQYnYxWS8e7dyiVjgJa7\nk7oymyH++APw81Omxq/R3KkdG1taGrVmKLUM4uTJ1KJQVKRM+TWxbh3dbBi6kElVnJ1p96MtW+Qv\nu6Z+/pkGk3XrJm+5dy9vqqbsbOqbf/ttecudPZua4ffvl7fc2srOBt58k66xLvUT381skvGVK/KM\n8LyXsZPxtWtAbq6ya0ir1W9syHaJtaFWMv75Z2DECKopKMHVFejSBfjf/5Qpvzo6HSXjWbOUO8es\nWTTyVQ1C0MC0f/9bmfLnz6d/v9RUZcqviS++oL9Rb295y7WyokFqCxaou4LVe+9RBaZnT/ViUJrk\nZBwSEoJOnTrB29sbK1askCOm+2RlUfNE69byl23sZLxnD/2nkaNP50F69aKWBGMOTNPrqV9Vif7i\nMj170o2Msfv4lWqivtuTTwJbtyp7jgfZv59mKsjVl1qZYcOoKffCBeXO8SBHjtDc+xEjlCnf1ZV+\nf2otb5qTQ8tZvvWWMuWPH09TMNX6+7xyhZqoTW3kutwkpQSdToe5c+ciJCQEERER2Lx5My4r8El5\n9Spt9SXnwJIy7drRHW1envxlV0bpJmqABgQ99BAtAGIs588DzZs/eP1bOVhY0O5Ue/Yod457Xb9O\nrRlDhyp7nvHj6bq0WmXPU5nvvlO2VgxQ0+Izz6hTO161igamKXkDvGABDRDLzFTuHA/y5Zf099mh\ngzLlazRUM12yRJ2FQObNA/77X+oSqMsk/XmePHkSXl5eaNeuHaysrDBp0iTs3LlTrtjKKdVfDNCH\nRIcOdPeltNxc2rJsyBDlz2XspuoDB5RPWACd48AB5c9T5qefaC6wlZWy53F2ppr/3r3KnudeKSnU\n1z95svLnmjmTpqQYs2/86lUgLIz6dZXUrh0NXDT2nOrcXKqRK1UrLhMcTJuGbN6s7HnutX8/Lazy\nr38Z97xqkJSMExIS0KZNm/Lv3dzckKDAruJKJmPAeE3VBw9SjdUY8+MGDjTuIK79++k/rNIGDqSd\nuwoKlD8XQHOLn3jCOOdSo6l60ybqWjDGPrYeHoC/v3FX5Pr0U5paJediQQ+ycCEl49xc5c9VZvVq\nurlXYjzN3TQamp+9ZInxVsLT62lZz+XLlb8ZNgWa24taG2T79u0ICQnBmjVrAACbNm3CiRMn8MVd\nt4cajQa4ew3YdgA8DD0jY4wxVntikXKLFISGhiL0rtrPkiVLUOvUKmVnir///lsMGzas/PulS5eK\n5cuXS9694l5+fjXfBswQBw8K0bu3cuULQVsAurg8eINvJQwbRlvFKS0kRIj+/ZU/T5nFi4V4/XXl\nz/Ppp0LMnKn8ee42fLgQP/5onHOdOWP87SkLCmjryOvXlT/Xe+8Z//d34YIQzs60tZ/SVqwQ4okn\nlD/P3Y4cEcLDQ54d2aqi1QrRpo0Qx44pex6lGJL3JDVT9+jRA1FRUYiNjUVxcTG2bt2KUZWs+CBl\n1SSdjgbQKDU4AaCdky5fpvmkSjl/npoClRzgdC9j9Rsbq4m6THCwcfqNlVpNrCpTp9LIUWNYv576\nUpUc2HQva2sama70blWFhdSEK8fuU7Xh50e7JX33nbLnyc+ngWlyzyuuziOP0Gfx7cZQxXzxBa0f\n3revsucxKVLvAPbu3Ss6dOggPD09xdKlSyu9Q4iLM7z869eFcHOTEGANjRolxKZNypW/fLkQL72k\nXPmVOXGCWhWU5ucnRFiY8ucpU1IiRPPmym5cn5YmRLNmdIduTFqtEA4OQsTGKnueoiLat9aYLTVl\nzp+n/9NK7kH7/ffUMqSG06eFcHUVorBQuXN89JEQEyYoV35Vzp6lVr6cHGXKT06m1pMrV5Qp3xgM\nSa2S74mHDx+Oq1ev4tq1a1j4gFXFz50zvHylB2+VGTGCtjVUirFrjwCtNhQXp+xiBElJQEKC9F1w\nasPSEhg0iAbEKWX3bhoYY4yBP3dr3BiYNEn55TH37qV12Y3ZUlOma1ea16zUqk5KL/JRne7d6RqV\n+h3m5wMffWT8WnGZgABaUW3VKmXK/+9/aRqcMT73TYlRGqik7NhirGQ8fDitgKTEKjNaLXDyJC1T\naUyWltQEf+SIcuc4cIASo7GXqFN6ipMaTdRlZs2iZlwlVzxavx6YPl258quj5Ipc+/dT07sxphA+\nyFtv0SjgkhL5y/78c3k3vDDEe+9RHCkp8pZ75gzNt1frRkNNRknG5lAzdnenSeVKbETw559US1Vj\ny6+gIGX7jffvN8784nsNHUrnVmIXJ60WOHRI+cVZHqRbN8Denub/KiEtjf4mJk5UpvyamDyZWjZu\n3ZK/7FWrqK9YiUWCaurhh2kq148/yltuVhZdn1zbQBrKwwN4+mlKynIRgnZkev99WkCovjHpmrEQ\n9IEk1y4k1RkxQplFF9Rooi6j5CAuvV69ZNy+PdC0qTL75O7fT83uDg7yl11TStYc162jfYaNMbf4\nQZo1o7XG5W7KvXCBDmMsYlKdd96hxFJcLF+ZH31Ei4soOaC1pt56C/jlF/m2WCxbEEbqXszmyijJ\nOD7esOUm//yTJnsba+/K4cOV6Tc21upUlQkIoH7d5GT5yw4PB1q0oNWH1DBqFKDAgm/44Qf1P8yn\nTKHtKNPT5S1XpwO+/to0VjR68UXgq6/kXWLxk0/o2ho1kq9MQwUFUZ+8XDdVt27R7+6dd+QpT6qW\nLWkv59mzpS8EkpREffxff23c0f2mxCiX7etr2ALx//d/tBeqsZqb+vWjZTHlHPCUmEgDnLp3l6/M\n2mjQgKYjKNFvHBICPPqo/OXW1OjR8ifjpCT6t5o0Sd5ya8veHnj8cfmnOe3bRzdQxmptqkrPnjSQ\na9cuecpLTqZdvZ5/Xp7y5LB0KdWO5Vhz/IMP6CatbVvpZcll2jT6e5KySYYQwLPP0lGXd2WqjlGS\ncUBA7fuN09OpI//pp5WJqTING1KzrpyjPA8epJGHau7BqVRT9b591Jqglr59abT4zZvylfnDD9SX\nqtR2ibXxr39RzVHOgVyrVwNz58pXnlSvvEIDgeSwejW1aLRoIU95cujenf5OpV7jP//QutBKr0Fd\nWxoNbZCxfDltqmKIH36g1tP6OGjrbkZLxrXt29u4kXboMXa/3dCh8g6cUatP9W5KJOPMTGrteOQR\necutDUtLGmQlV+1Yr6fFGmbPlqc8qR56CLCzoxYIOVy7RqNVn3xSnvLkMH48EBlJyUaKzExKCvPm\nyROXnN57D/j4Y8N3dNLrgRdeoHJMceciT0/ateqZZ2o/ejwmhtaf3rCBKkP1mVGSsb9/7WrGQtxp\noja2QYMoGcsxSlevp/5itQZvlenShUbQJibKV+bBg0D//rSikprkbKo+fJhqxKbSVKbRUC1Wrp2A\nvvqKBseo/Tu7m5UV9R1LrTmuWEFT0by95YlLTh070mC1ByzDUK0ffqA+WTU+D2vq3/+m2SLz59f8\nPbdu0T7XixfTZ1S9Z+gKIz///LPw9fUVFhYW4syZM1WuRJKVJUTTpjVfcefoUSE6dhRCrzc0OsPp\n9UK0aiVEdLT0ss6dE8LbW3o5chg7Vt4VxmbMEOKLL+Qrz1B5eULY2gqRkSG9rEmTTOOa7lZQIISj\noxBXr0orJyfHeGtC19atW0LY2QmRmmrY++PjadWy+Hh545JTVpYQXl5CbN5cu/elpQnh5KTs2vxy\nycyka9ywofrXZmUJERAgxDvvKB+XGgxJrQbXjLt06YLffvsNj9SgnbJ5c2peWbOGhsLv21d1zXPT\nJrqDV2OeoEZDzbqHDkkvyxSaqMvIuaWiEOoP3irTtCmNWpU6JS0tjf4up0yRJSzZWFtTs/lXX0kr\n55NPqH/fwwR3THN0pKbz5csNe//ixTT4x9VV1rBk1bw5ffa99BKtnVATpaX0OTh5MhAYqGx8crCz\nowF0r71W9ep4SUk0OLFfP/rdsduk3gEEBQVVWzMWQohVq6h2Nn48rdu6b1/lr9fr6Xk11yX97jsh\nJk+WXk5wsBA7dkgvRw4XLgjh6SlPWefO0R2wqfj+eyEmTpRWxltvCTF7tjzxyO3GDar5ZWcb9v60\nNKoVq7EOdU2VrUccGVm790VEUMtBZqYyccnt22+F6NKFWnSqotcLMWeOEEOHKr9DktxCQmg3sGHD\nhDh16s7PMzKEWLCA/pb/8x/j7hZmbIakVqMl47utXy/EkCGVv/7MGfWbdq9fp23QpDSTa7VC2NgY\n/gEqN72ePrRu3pRe1rJlQsydK70cuaSkUDOnoR/IGRmm24Rb5umnhXj7bcPe+/rrQjz/vLzxKGH5\nctqwpaZKSoQYPFiIlSuVi0luer0Qzz4rRGCgEDExD37dokVCdO+u3GYMSisqEmL1aiFatxZCoxGi\nQQMhGjakGwwpGweZC0OSsWVVtebg4GA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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m)\n", " \n", "ax.plot(times, array(result.measurement).mean(axis=0), 'k', lw=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RaEO//X3GzRirYGFmu2WoyVhafb27YgL9KKJQF8RtOg3K9FW7HnLVWs27dzP/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KAAAg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\n3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zJpl5bNxgymXzJNIeC97y3/bvR6B+X+KNMflnc6qQWZQRQIZAHBQQdLWeWN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\nhxGzfUGFnf6iby4C1ziUV1KirypY9z//h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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, \n", " ntraj=5, nsubsteps=100, d1=d1_rho_func, d2=d2_rho_func,\n", " distribution='normal', store_measurement=True, noise=result.noise)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 4.46s. Est. remaining time: 00:00:00:17." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 8.92s. Est. remaining time: 00:00:00:13." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 13.37s. Est. remaining time: 00:00:00:08." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 17.84s. Est. remaining time: 00:00:00:04." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 22.30s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2TcopGGOMsTpPUjN1jx49EBUVhdjYWBQXF2Pr1q0YNWqUXLExxhhj9YKkmrGl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\nQQMhGjakGwwpGweZC0OSsWVVtebg4GA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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m)\n", " \n", "ax.plot(times, array(result.measurement).mean(axis=0), 'k', lw=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RaEO//X3GzRirYGFmu2WoyVhafb27YgL9KKJQF8RtOg3K9FW7HnLVWs27dzP/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KAAAg\nAElEQVToOFGELoooooivKPiyh2nDCFuRRY/R4n4iQUDK5ZEjD8eK6PM8pgoFHFOkJ+7l4vVH7/Mv\ngqqSO+tMPid4/JOY5tRT2ttHUrYw972RJNiyhcH+1ZYu37TIwtaHk9/Gk2ZJv716T5sG8lRidcwq\n/bTenpy2Dp6IIUIxn5C+kzFRJQ3fh0svvXRV52maKaySiG1CUEvmzIKij5tPvrcmz5O+IAjkxGVs\n2UwG3ZNRMgrlMiixMKf0J5wAeZms3E6kPxwPE6+LEQRhcX4Ls6Qv4EnuYnvHjzFftHd+OTBkA9EX\niYMYUUlOOyvLOIgImoZbr6M2myvMevp20CT9ZULW2mFUFHHakH42nZ2zd+SgjpWCsBxiLFPrI51O\nI2dkRDfE80ATRXqCzkrfOOkkpGa/gTiM6Y/XVj1Qkk6kNjxEvtmdbBHpRzZxoZdc5GPJGoFQnxua\nL1T6Q30rH3ObarIh1Wo9Vb78OcJ4gngq5tlnP8v99391xX0VBgfZcfgBPEGmGoYYTYU6q/SjBTkT\nhmwgxC6NKPr/7L15tGV3Wef9+f1+e977DHeuurem1JBKpTJUSAhJSCBhCCF0gAgyGCGyQKARWlFE\nRLptJ8DWRtSebHQ1jW/jYtG29GpcKry8rkZwzguCGAhIyFBVSd2quvfcM+15v3/8ztlnvnULbC3e\nleevqnPPsIff/u7v/j7f53noiAxDSCQR2DZxUWBJiSUEcQ/0nS6c5ACGiHDCjMhRIASJckiaIcth\nyKMrqyRmwaJYooKPMwMkv61YXcVSBQGPsVj8FbXFGbUHysYdzlUcOcKau7PZrWl6YART+ky/r+nn\n+fSWE7ZrYZ/rPRVkMX7qU/GmPxXv33cFgYRzVUODfmBj95j+bbfdxsqP/AjO3OzjpgyF51m0zyu6\nLmQtzfTTcynxXA/01UDeAair2bKp8H1yUWC7tm69UAjCXGhNP0kx/dnseybo53vxd+l9GGX6OUU3\nhUQSG9FEItebQoCGI7jnHi1BXyLxXQP6NbtGHuqudsLUoFhViggDadnEnQ52T8ce1vQNz8A3Lu4i\nPlUUdLuTDd+GQV9lW7R9KATUV2e7F5aXl1EVhehqpv/MWo2FqIrJdBY3f3zQ7T3dStmjLrZC9iid\npSr1zU1oNEYYi0w6FLUFqnlMU9kIJHGmcxd90H9863F2L1240Zlje7xl9ZkTrxfNLT73G6/i9C+d\n5s/+7O10dtBid25tjQdO/RU1w+DxKMJXA6YvLUkxVB3tmR6kXVpZRkdmmIVE0SW2bSwhkEJgCkGi\nFGm2hR1JNljCJMSPIXH1BZoYLlmzw3K7zTdX95HQwRceWSej8g80JwGAvXsReURsGwRFizue/zwq\nlVFgPXjHFeTCGsg7AJdfztLDX9/RT2TZAZwh3OmDftiT4KZM0gTA8S3cDc1S4yzGyzwCbzrTXzt4\nBZ6UrNcMeOghOr6D3WP6QgjW7ruPez76duaf/RNTP297Nq4LzXVJ2xvIO9n5lLSut3OY6QPUjdmg\nb7g+oRVjKw36LoKw0BLXZpphexcP+muVNVaqmsiMavoZeTfToC+jUt4ZMP0LgP5HP7rt3/+x47sH\n9J0aeTcnT3JErzVuxTCIMRA90Ld6jpVhTd/wDCo7tEr2Yz3LprpO6rV6qemrpEHTh6wiWV2b7TS4\n9957e6CvNf3/fPQoZnf2gLXVYdBvpOy15nHNnVcXZtlRukZG3XHgwQfLRmphCCppk9cWqGQJDWFh\nUaEZazZZq2nQP9s5y3zlwpKSbXncgcurp3SRbJ99bKIh2HYRLTh4pseSafF4FBGofgIShC1GmL5n\nehSZlne6MkflGvRDy8LuMWVLSmLDIGqewYoUIRXMokMQQx5oHSQ2PNJml+Vmk9i0KbIClRVk7Yyq\nPRv0d9mTjdC2C7lnD0XWIXU001vaM88v/dIvlU28XI5w1fccIxfmQN4BOHKE+c9+dtpXToTjHGB4\nGF2p6V8A9O2KQ2VTXxtRGuGlHpY7nZHuOnKUQEnOBBKShE5g4hh2Of7PlhJDuWQznhREIXAcaJ6T\ndLyiZPrF+ZR0BtOvmrOf0A8/WaVrRdhGD/SlJEIyNwfNosDdhunPSuSuLK6wO9DX8jDoFzInDzOK\nVBEOyTt9TX870BdC/B+bufHtxncN6FfdKnk3p0hHmX6MgbIdom63BH3XdOmmXcI0xKybBMXFJ1E2\neo3XhmOuMjewbGYdWj60a3BobTpIqqDCO9/5TlRFQTcrL5C8kxEy3fGwUh0s9KyR4TuSV52Y3Zlw\nOCxhE8fPoi1T5qpVePBBpNSW5SQBGbYogjkqacxGYWIR0Iq15l6twmajYL2zTt07cMHfcjyfoHma\nD95zD5b6zh5dv2Gvc9Oem1g0TZKiIDCH5J0pTD9L27SzjMgAWSgUXSLTLEG/z/TjrTOYiSTDx0jb\n+AnIXnV0arpkrS4LW1uIIqeIbGSek3dyau6MnMaJE1xmXVyV9PyBA6RJi8yxCbHxfMGb3vQmPiI/\nyk/u/TWeFnwWd5dFKowJpm/87d8SiAvXaQTBgZH/O3sdItckLvTxmAX6Xs2j2qxS5LpwzU1d5msz\nkvjLdapK8WRFX3tt38I2rBHQXwh2EwfT23C3m20cB4quou0VJdPnfEo+N53pbyfLdpYcPvSCT2Ap\ni40NCJQiKjTotwX4wQydXcyuOq+t1NhdmQR9RA/0E0HXCEfknSIt8ORsUub7PnKGxfifKi6trdkm\nar5m+uPyTiotpO0Qd7vY40w/6WLVLfzk4jXafMrw5bnaXCnvJFlMUoHzfsGJQ9Nb1y7dfjfVahWj\nYlB0MvqGoKIzvXjHdBwWhpK46WaKYaf81O0v5oVrb+TOuePc9ZLZM0Lvrb+eLJtjI09YnJ+Hv/s7\nQC9gKQpEt0ke1PGThHOZiS1GQX8rbGIpC9e6sGPI8QKq7dMsr66ytvidTS36ZOsveNGRF5X7XjGH\n5J0pmn6WtGhlGbmpELnCoE1oGDhDoB9LSXz+LImVYyoHI2kRxGD2WnKkpkve6qBaLRaiGLW5B9lj\n+vP2dFnBeuELqRc7b+kBsHroEEnSoPB8PU6xh+tz1jKXF0dYXHGIsohMqAlNH6B6gRL/SqVGEIxu\nk/IVn33rzSUgzwR936dttwmfDEvQv3Ltyonpad+3+H00nZyKoTjdI/Jtz8Q27PK7LSHYWz9IPPfl\nqeMOAVwXiCVtd5DIFRsZRQ/0LWWNMP2KPfsJ/ZEr4P89+JVS3qkYihjF3Bx0paASTD9ulmvhT0mq\nepZPvpxPZfqInCLMIJV0VHdQkduzbPpy9o05uIRcO/34rgH9elAn6+qhBX15x1cSZVQQlkUchli9\nSshheceZd3Djb68Px3jMV+dLpp9kCVkgOBsUvPiZtzHejeHYnbdSWdM3AxUoinZWepqLMOP1xqSE\ncPe7383iMOg3Ugwnw1UxKws38ergDg4fvpLq/snSqN21o7yg8oP4PpxNEhZ37YIH9czXIIAlq4GU\nGYW08eKE9dQaAf1KBdrFWRa9RfL8wu0JXL9CvXsaajX2zHjS2Wn8/un/zd1H7i73vTLE9MfdO57p\nkaRaYktMG5lLFCGRENg9jUMJQSEE3c1NEqfAlSYqahDEYFf1vmWWS9HRQ1VWsoy0ZSOznKydcaA+\nvbVA7TnPYS67uCZwB48coRttghsQDbH23FB4XUV1tUGYhqSMMf3du8H3CWbIJf1YXT0w1RhierIE\n5Fmg7wcVNqobbDyyQZzFOImD4Rt87GMfY81fRCC4ZfE5vNZ9LQ0XqsrglKfPxZancM1ReWetup9s\n4cvs2TO9lbjjAIUg9CDe0qAvz2cwr6UuW40y/cDdBjB9i4ROKe/UbIOkB/qxIalXp4N+NahOlVsu\nqx7gieoT05m+LMjDjDyVdJXO9VnKKhO57jZMfzx/cynEdw3o1yq1Ut7pu3dObjzEnvmjYFnEUTSi\n6fctm+6cix/+w7gxFmoLpaaf5AlUoV2B/Z6Hfb/Ni1/yYg4ceCbPetYvc8U9z8IQejGoiiJvZRQF\nJK0cTMmLnWXEUDJ3fn6eA/fcw8JQtWC6mWK4GQ4R54TADecxhGLP2Pxcz/P48Ts/TJiYeF4P9A8c\nKJl+EMB+8xTCt7XbII55MjJx5AD0pQR3YZ15e4ks2x70lVKYQUCQbkKtxr4jFz/hajiOLV/Jsr9c\ngn7VHmX6wz59z/ToJB0CJckdnxwHpWKinl0TtI5q5jntZpPULagoiepu8I5r3oxV06Cd2R55uwvN\nJst5TtKyEGlB3sm5ev/kUPrvvf9+giBgPt3ZGD+AarXKsbU1ut0nEG6VSA7IR25KvK7C3v0YYRqS\nIEc1fSHg2DH8+vb22ZWVA1M7DpgmI0z/uUdfOvGeH3rTm2jWm2w+ukmURTipg/IUN998M//te97H\nW9/0dn62+69wz7tsujk10+RJJwXDoOkqHHPA9G0p9YDwsM71t0wWuO3Zs6dMNqeuJGplxGdj5FZG\nvkefd9sY1fR9d/Z1K32H0HgCW9lsbsK8Y5IIg7k5SCyD+cr0G0a9Wufaa6+deP1q/2oe9R6doekX\n5FFBkUpiMy2fQMpE7jag/xTT/w7i8NrhEXnn6+e+zl888se85PirwbKIogirZz90DZd20tbtfeds\nrLb1HetqlmVR9+tD8k6CrEhEXaGEwF/x+a2P/hbveMfnuOqqHyPOI6wes1MVRdpMsSzonssobMUR\ne46feNpPcPnc86hUXsPnP/95mo4zwfSVl2MTcTZXuNEcShoce8MbeLrxdAAW1AJ/9Ed/xKHF/bRC\nOWD6+/fD6dPQ7VKpwD51EllxKOICN0x4MrJwZYVmNLAFugtnqZtLdDoBapuh5p7nYdV6F2S1yr6D\n3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zJpl5bNxgymXzJNIeC97y3/bvR6B+X+KNMflnc6qQWZQRQIZAHBQQdLWeWN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\nhxGzfUGFnf6iby4C1ziUV1KirypY9z//h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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using QuTiP built-in homodyne detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=5, nsubsteps=100,\n", " method='homodyne', store_measurement=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 4.41s. Est. remaining time: 00:00:00:17." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 8.83s. Est. remaining time: 00:00:00:13." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 13.24s. Est. remaining time: 00:00:00:08." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 17.66s. Est. remaining time: 00:00:00:04." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 22.08s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WlJTU6BxqUDLOzs5GXl4eAKC4uBj79u1D7969DWmSMcYYa3asDHlyZmYmwsPD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\n9eOPDauglZQEfPIJrZ1uSjp3puWU4eF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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m)\n", " \n", "ax.plot(times, array(result.measurement).mean(axis=0), 'k', lw=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qpxQbjvQtxyI4EDCzZ6Yn6c+b84xlxgirIS/715fh+A7MzREN5pCS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\nQ9Giu+bg27O/mxWndbiqZVj4dY83GTZs28q2rXOvO4z7Baq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G9Ae3b6fSGEcQoNCC9F91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\nsmULzzzzDKOjnSe6x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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=5, nsubsteps=100,\n", " method='homodyne', store_measurement=True, noise=result.noise)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 4.42s. Est. remaining time: 00:00:00:17." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 8.83s. Est. remaining time: 00:00:00:13." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 13.25s. Est. remaining time: 00:00:00:08." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 17.65s. Est. remaining time: 00:00:00:04." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 22.08s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WlJTU6BxqUDLOzs5GXl4eAKC4uBj79u1D7969DWmSMcYYa3asDHlyZmYmwsPD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\n9eOPDauglZQEfPIJrZ1uSjp3puWU4eF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"text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m)\n", " \n", "ax.plot(times, array(result.measurement).mean(axis=0), 'k', lw=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qpxQbjvQtxyI4EDCzZ6Yn6c+b84xlxgirIS/715fh+A7MzREN5pCS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\nQ9Giu+bg27O/mxWndbiqZVj4dY83GTZs28q2rXOvO4z7Baq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G9Ae3b6fSGEcQoNCC9F91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\nsmULzzzzDKOjnSe6x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"text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heterodyne detection" ] }, { "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", "collapsed": false, "input": [ "def d1_rho_func(A, rho_vec):\n", " return A[7] * rho_vec" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "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", "collapsed": false, "input": [ "def d2_rho_func(A, rho_vec):\n", "\n", " n_sum = A[0] + A[3]\n", " e1 = expect_rho_vec(n_sum, rho_vec)\n", " drho1 = n_sum * rho_vec - e1 * rho_vec\n", "\n", " n_sum = A[0] - A[3]\n", " e1 = expect_rho_vec(n_sum, rho_vec)\n", " drho2 = n_sum * rho_vec - e1 * rho_vec\n", "\n", " return [1.0/sqrt(2) * drho1, -1.0j/sqrt(2) * drho2]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, \n", " ntraj=5, nsubsteps=100, d1=d1_rho_func, d2=d2_rho_func, d2_len=2,\n", " distribution='normal', store_measurement=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 8.24s. Est. remaining time: 00:00:00:32." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 16.47s. Est. remaining time: 00:00:00:24." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 24.68s. Est. remaining time: 00:00:00:16." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 32.91s. Est. remaining time: 00:00:00:08." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 41.13s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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0rLNNcwrNGGOM3W2M0iQeERGBc+fOIS0tDeXl5Vi5ciXi4uKMcWjGGGPMLBil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\nMcbYXU3vgB0cHIy1a9fivvvua3Q7jUaDhIQEHDl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"text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m)\n", " \n", "ax.plot(times, array(result.measurement).mean(axis=0), 'k', lw=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4Gvd4+tm1olSCQ099ZTKlHyms5gbSH3Ah39zUX8B1oVhk2XQRXaTftncGkb7v\nd0hfhJS3WpT8iFYQ6Qtho4EVdEg/2zfr6d1hfYg/FbVa+Pv3j7Z3Iok1ZY1V+hPZO5nS3wsLISvk\nQsfi2QVkJBG2QclWGMqGQgEZRQRSDjyGZCBJqknb3tkKm8Qippkk/FW12lb6SZQq6TT/HpxKSX8j\nJf0dKP2tpn6tURWU7yxjrQtmbbtD+q2wx945fx5uvbX3JihIAl10z/Zf5ulHKlf6AzHC05/E3hEt\nrfS3FrawlwcvolIP65yv6/syGUtkJLH32QOVvlk0sWIoSGNgZDPZSvT7s8lZY5T+nfvv5OTmyfaF\nKEgCfvGLdX7iqDMwZdSd07+Snn4WQDGVQkW6ILW0KVh7bjjphyLElS5/cdcf4NgBtb+s9Sj9zD0o\nFsFcf5TP3H772DHKSGKunEE1BhBQZu2AVvpWEWl05sa3C7kZ6XcX/vpIv1RtUmxFeGHE9DRQr2PG\nEXHaPiBT+luhVoL1AcV7gKDZxJ+fH6v0rYo11tPvtnc+vbrKfz5zpvdFnte2d4avw7YDZIVc0LfZ\nu1T6MpQkLpRsCcoC18VP98sgpa8iRbKlSd81wEt0K+W/rtf5d6dOtZV+kjZck6lK71H6O7R3qk29\nzKVVExRvLIKAxdhq2zvC69g7mdK/9dbt9k6QBMgw0CdSZu9cJRl9uNpIv9nUJ2+/d97n6Q8t5HoC\ns2KyubCJsWQMjGx+/MmP8/6H9LRlURfYMzZW2eoh/UzpG4ZBVALXUwOVfrKZoCKF46STs+zRnn7B\nLnDL/C08t6GLhkESsOAr5mN7oMXTPSN3pL1jX1pPP7vTnypIjKIJBgSRIL5QGJreCZIAV7iIpIFT\n8BCe6CH9rAC+kKxy/KDD//vGN44do4oVFj5qkCrOkjuAPzXFll1A0CH9tqc/TuknIcXNOoVWQCsI\nWVigvTNMXxNvtm+qkeCA49AYEj+SQlArFseT/gRKv5v0j/k+v3rmDKvdEtP3aaBJes+Ufre9s0ul\nr0JF4kBFJZhCk35WIxt0DMlQIqu62SEyBtPVNpcQxEp1lH6iP0PVUtI/1WfvTEj609NQ9yQzloVd\nldgLNtF+kxtqVlvpy9Z2T38b6aehjCTwdWIts3eukow+XG2kb1labvax+rBCrlSKT6ystF8nPYlV\ntlifX8c4bwyckduMmu0LQVJLsGYsnf32tyt9gKBiaNIf4Olre6dL6dujlT5o8qkGmniCJKCcGJRw\nBmb1J+oNoExxAAAgAElEQVS9k0U254YrfSEGr3vbjW6l32/vhKFW5FOOwCyaGLZBnEjCJZetaDjp\n28JGBg0sVyI9OVDp37H8EKsLR2g6zsDP6YaMJBYBKhlAkF1K/9T+/RwKmgis9ryIslMmTEJkFtXs\nJ/30ODpx7zEONzxuf36ZMw8+xvy8au88K+gl/VqScMh1aQxR+gBVy5pI6Y/K6cei19P30/YX/7Wr\npQWeR8MsAntE+tkPBFrp74G9EztQJsIQxnjSjyQqtXeUDHHsCpGIaAp9jmU5/SQRGFJiNKB4a5Hg\ndKDv4D2Js9+ZqLVyGMJNN0HdU8zYNk5N4sw7BPtMDtdMgnR80gsoFjue/iB7JzuPRdhH+ldJRh+u\nNtKfmtJznPssnu5CbrenvxSG/MuuyVDCE5hlk/X5dTjPwEKuF3sdlVBLsGdtzJI5UOkDhOOUftzx\n9MUApe95HU8foOJU2qotFCHlCEpYg5X+BOmdzNO3ZiyS+uCFVP78z+Ed7xj49jaytsqw3d4JglTp\nu1rpG46hFdamy0preCHXFjYyamC6Sl9UHWeb0r/1hYc4ed3raGUE04dT7z3Vbh+tIoUpPdQgDl1a\ngsO6o+bzBw5wnVfFolNjEcJAxUXCTFAMKOQePXqUJz/2NJvAllIsfelbNJt/0643ZKSf7ZtGIlh0\nXRojCLGm1ESe/k4im4GU/KvrruOe5WU2ss9OSd/2JY2ulo/esYu0Zfa4kCtDTfpTsY8lzB7SHxQG\nUJFC1bTSlyJkobKoL36Z0s/sHSmohCE0Yeq1U/infB25XrAxHGMipR8EcPPNeo3jWdvGrSvseRtv\nn8lizSTsIv1M6a+XPE61Am67bbDSl32kn6d3hqFS0SfuANLPlP7cnD4HkwTOhCFx2oEPQLa00l+d\nX0Welzims62Q24panQMmI/0hSl8pxVfiP+c9P/MOPvkLv8BmagG0X9el9F0XEleQKL2qFOiD6cgR\nCJKwrfQrbqWt2oIkoBQrSsoemNX3J7F3EkVsAbaBWTARA0i40YCjRwe+vY2srTJsJ/1M6VdsCQWt\n9JNEwqbLRjB8cpaVWBRkjFmgY++kJ0EmJG889RCnD7xCNwrrg/AFZ/7jmfbiMDKSmMJHDjqRn30W\nXvpSAE7Oz3OoqUk/m00ZRUBcwl8ZQPqpvfPe975328d+9au/Ao0GyjCwQ/27VRsR/LMfoqkEh1yX\n5gjSbyTJZEp/B/ZOICUvKZX4JwcO8MFz5/SDnkfLcHHrimZXK9pv/71vt9eG2BH2uJCrQkVsw3Tk\nYQoDZY+3d4yU9BPhM1c+QCQiWqnSj0VM2SkjhGIqijBbJsWbi5iOiX/Mx9nvYNiTkX4YZqQvmZMm\nVqSwpi1a+0z2b9FW+ioI21MX5NvOc+bOC9xyy3ZPH0AGqaefFXLz9M4QTE1p0u/L6ncXcjMHaGsL\nzgQBCtqEKDyBVbFoOk2MgoFb3W7veLHXfkzURYf0Byj9j3/849yz9Kv81d98ha9/8pP82Y/9WI+S\nTrb6lL6jPyPr4bG2psdZb0UUrO1KP0gCSpGiqDpKPzwfUn9EK0svLeSOm5z1sN/gga2ttq//2Wc+\ny73H722/Jo7hhRdGi7V+pd9tB7WVviPBNTEdEyEkbLhU4wGk/5nPEIQeZmIyqywoDLZ3Fq11prde\n4PzMDTQzVdmFrPdJNodCxQrhtxCDOPSZZ+DOOwF4fm6Om87X+cHPdabQxzGQFInXN/UXzUhMSj2Y\ncpnPfe5z2z72ySfvg3odtW8/TqivhBvNBrz083gkHHZdvBE7thkEE3n6oyKb/TNy/XTS0pvn5zsz\nwH2fpuHi1BTNLqUvW3KgEBiL/kLuHtg7kQOzzQbCVkirMHJWt4oUZk1/zyTxmCnt155+2mo5ljEV\np0IiJRUhsDwDe96meEuRxiMNnH0p6U8Y2bz+egiFYl/TIpjSk6gaCwbzWxCkFyfla3sHoDArsPZH\n7N/fZ++k4k1FYW8hN1f6QzCB0oeOr38mLaBlJJtFNhOZYN9gYy6Z2wq5/faONWNhlsyeyVnxaoxz\nwNm2nm/9+ed5+OGHAU1E0pfQRfrS1Z+R+frZjcFWo6P0p9wpWlGLT66ucjaMKUWih/SXPrLE+d/S\n6SJfyolaKweW4nwUtRM8X3vhazxw6oH2a5JET6g8fnzonu9R+sM8/bItwbUwHAMptL3TkH0n7MoK\n/NAPYS+to0zFPC6qqAYWct8U/xVrL/nfaZoWrQGkH6fT4LO7MBUpHJp6RmfPTlA9pH9yZobbjwu+\n/z6rV+knJZKNLd2fJyu+Zle0xcXhy3o2GnD4MG56sa61ArASfCNh0XXxRvSRaHne2Bm5O41sBqkY\n6F7NTbVaHH/iW8Sf/xQvpF6/UkqvfzBgvYixGGDvLDW2T5ycFDJMSb9eJ3FAmYW2XTpM6Vs1QdEw\niOImU4WFHk8/lqnSl4opKbFbJs68Q/HmlPT3OxPbO1lvueKUYnrTwJ/Rx1dtAaY3VbvhmgqC9i5x\npyWF66JtK6q1bdow2ubp50p/AKp2QmNhasek3/Zt08hmLGPsRRtj3diu9BNvsL2TKn0lFKKpUz2n\nT5/eNsaHHnpIvzftxKdi2U7vyILoGU9G+rVmtM3T/5/LyzwWmhQiSVFZ7dvC6oPVdlHP61oucVTv\nndBSrEZRe4KWH/ustDoF7oxzBvSCa2NtTddLQJ/r3a5ExotlW6Jcbe8oJZkRLr6ZWi+x5JHXPQJ/\n8RcAmJtNlKOYEw5qmNJXFwgO3oRvG4Su225tm6G9epmXLjQSSlzVBNlH+qurYBi6iRfw/NQUB9Y9\nnLhP6cclVLWqST9TrtnBdfDgwP1i2zY0GhiHD+EmLaSEhp/eldm6kDtK6Xv1+tjeO2bFHOnpxzLe\nZu8U0wmD2fe7+6tf5bE//C94997DX//ar/Enf/In7WN60MpwY9Fn7yjP5yPf+xEarYsLhKpIEdmK\nmWoV4YA0C3hKccBxBuf0I4kZQTk2CKIGleJcr6cvYqbcKYSCimFg+7ptSvGWIvW/rXeU/oSkXyhA\naVpSWjdopeKnOm9Q3lDtfWx0kb5d0Uo/m3Cd6QU/8SnZJYijbemdXOkPwPFwicet9bGknxVzz6SX\n2IwssshmIhOsaQsrsLZ5+j32Tk3bO1bJaqsh0dQWkWEO/oGK6f1dnC60MInSrzXDjr2TevqelKwm\nJoVQUFAmQRIgfEH9b+pt0vfTQu64yVmhqViJImxaJCcu4Cc+K83tpH/s2MCPoFrVXLywAA9VqwRS\nMDXVWRw9U/olU2jSdwwMAS855BBbgkRqNdl8rIm6/0sAWFUPZStmhI0spUq/a3JWHEPBjDEKDn7q\nRvR3q9xm74QCmwCl+g7bTOUbBlIpTpdKLGwGuNF2e8es1/XdZEb6mXeYZfz74Dj6rDYOHGDWahFF\n0PDSO0xbF3L9Ec2DgnGkP6GnHyRBewJfZu9kSr/RaPC73T+ulHzwgx/skP7FKP0+eydcifgHj/4D\nWutjZgYPgQwloQMzm5up0nfxgOtcd7C9k9pdlQYEUYOSO9vx9DN7x60gFVRME8c3tb1zc5HgZLBj\nT79QgEJFUVgzaKaL/W3OK4obgiA798KwvUvMskTORhhGb5cKP/Y5NHUII4p7PP08pz8ETRc2Z92R\n6R3oZPX7lX4W2YxFjFWxMD1zdHqnnmDNWj1KXzQF1rQ19FY/I/1kS19YVNKJbKqCTob3K/2G14ls\nZkrfF4JVaeKGCQVp6unb36yjYjVY6Y+xd1biGPv8c4i/fowgCbYp/dnZ4Ur/zBkdWTMM+LkTJ3ik\n0WB6Wrsaz289z3J9RSt9SyJtExyDQmTwktsNzMCiLkRnVas//wq85CVYVR/lKGYSm6Q4WOkXrBjT\ndYgs/d5mH3m2lb6fKdYEkwDo+32eeQZe9jIAlqOIWSFwW8Z2pZ+UsBt9pJ8dXEOUfrHgar+rUmHW\n1rNydS7fIHEki65LMELph0NI/6mn4K1v7bJ3RkQ2s3hiuxaURnkz0v/GN77R9p0zPPjggx0h41+E\np99n7zROpzNeaxO2RO2DDCWBo5hdWyNxDKShSf9wYfBcDxnpBm2VOnhRlaI7TSzjjr0jUk8fmLJt\nXM9ue/oA9j57R55+RvrOKtTT5o4b82Cvi/ZyiUbY8fSNkiAs69+12+LxE5/FqUXMjPTznP5oNB3F\n2qy9rZA7yN5Z31CcDgLm4rjt6WeRzVjGhGUT5W+3dwamd7oim0kjwZqyaA3JXmdkk2zq9g0kHaVP\nSTBn29uUfsMbrPQ3pI0TxrhSK/3qQ1Wm3zDdVjmZ0h/r6ZupvSNbCE8OVPqvetVo0r/5Zv3/npSE\nUrYTPP/+gX/Pfcsf00o/JX1lQSEy9XrZTZtaknQah83sg9e8BrsWgAPTwiQpioGefsGMsQo2sZX2\nsOnzxrd5+kGCSQL0LXjdXcT1fW6NIozAxY2MPk+/iNtqbCf9EfaOa9u62NFF+s0gAKuIERvMWBbB\nCE8/rNUGkv7DD+viuorURJHNslNuF3O7lb4vJXJow7ddKv0ue6d5XlNF0Aj04HfY1E2GksiGmbU1\nYhdN+oYxVOnLUBLsMyk1Fa2gimOXsQyLpkiIlCKRSar0DSquS9G3tL1zs2Zlx/EwHXNHSt8pSew1\nqKVKf3VOYa4lBACFAkbUsXemD0giW9ASorvbAn7ss1hZxEpEntOfBA1HcWHa0LMru0iund558kl4\n5zvZtw/O1WOKwL7V1TbJZpHNRCb8edzi1EY4sJDbY+/M9EY2M6W/MaTXQ+bfxpsxzqIDsVb6pqmg\nKJm3nR6l77rQ9HuVfjNu4gnBpipgKnCloUn/wSoLb15oq2Yvm5w1gvSTWBJZsBJFGLGererHPmve\nWtsOiGN45St19+BB5+rp012kLwRBF+k/svQItbCqlZAhEbaFcgzsyOTIEVBNmwvNpLOU4V3fD7Oz\n2PUIXJiKTaKSGKz0jRiz4BDbepzNPvLMlH5Qy5S+IMbAIOlVcF2kvxxFXC8lZuBiD/D0S15zIOnL\nrKDRBydbP7JSYdpqEQTgRQFYZYzQoGxZ23q5dyOuDyb9p57S+2BSe2euONej9IumSbHZJAjDoXel\nmcIfSPrHj8Nv/ia88516LdJ+dCv9chlvWf9/WA3h7W8fvYRivd6e7Nb+DqEkcaC0vk7sGCgcPMNg\nv+MQK7VtUqOKFN5+k0Jd0gy3MKwiruXSFAmJUkQy9fQxmCoUKPgW9ozZIf1gdZu9s3HvBptf2r56\nWof0Fda6ojal37NZkeArRGygFhYwu0jfKOl9uxJF25V+ZRErFnlOfxKcEwkXWrXelYfpUvpnz8Lj\nj7NvH7wQBdxkWbhxTJze2maRzVjEbBUkUVOglOppZrYtvTNr9Sh90RBYUxabm4OX1svuAJLNBPeQ\niyG00o+UAgVl09IH8KlTrK7CbbdBM+ianNWl9BsUCB2HgjQImgHNbzWZ+765jqc/QU4/DAWJDatx\njBl5yFDhJz5SyfaiIXGs/fqZmU472G6cPq3tHdC+ekb6y1tbnNg8QSOqpZ6+RNgmyjZwA5NSCQqJ\nzYll0Z75KL/7+zh96BCFRozhGFRigzBT+l2efhSBayZYRYfEkUz5/nbSvxCxiUNQ63j6daYwSXpb\nMXSRvicEZcOAqIDT5+k7kYudxLoo1Ef61WzBhj5E2ZqOlQrTplb6XhiCVQZfUTbNkaSf1AbbO0eP\npg3sYql774zqsiliZguznfkdqRgofeUrBNUq8ZCaQdjUTDSQ9P/jf4S//Ev9/b/whe3P9xVy/fUy\nwhBEjUiT+qgp3v/rf8G/+Tc9D0WBQDlQqNeJnI7S/9ij9zBrmduKuTKUtBZMjK2QgmGQKHAsh2ba\ndiESkopTQRomFcui5FnYdoBdBIcqDvVtpF/7Wo3q16oDv2qhAFZBYW8oqlOdO237oMPCJiT792PG\nYdve8YTgetflQj/pxz6LlYM4idSkn+f0R+Pf/mWV//H2/8EHi0VYXtb55CBCqdQ+8Tyo1di/H5Zl\nyE1S4gjRXgi6O7K5WZCIpqBgF3rUvhcPSe9MqPQz0o8347a94zhpETK0cDCIXngBbr+dO47fyx13\nQCsc4OlLSVmGnD1wAEca2E/YlF9eJnQdwrTbX5bTH2XvhJHAdU3W4hgiD5kqfaDt6yeJ3n8vfeng\nYm6/vRNIyfQ0PL72bQAaSZViEQoIEtNEWmCHBqUSVLA5tZagWulv8Ibv4u98z/cQRQ64UIkUXjnR\n+7fP3nFTpS9cwWK9TquvZ3t4IeICReJmau+EAo8CBgLVSH30el1PhkivWl4aczWiInZiECSdu51Z\n36JZLGsFkRF1ehu5OSAyCtD0vI7SNzTp+3EAdhnpo3PkIwq5coinf/SoJopxvXeUUgglmC3OtmOb\nvtCTloqtFoFhDLUim1v69QM9/aUlePe79VTt7nYOGboLuaUSYXWGUwdPETdiTfijSN/z9HJ3XYhD\niXQNioUCsQMSB880qXmrVExjm8WjIkVzwUBsesy6JUKlUqWfJeQ06QsMZhIbaYKVeLC2xk38PpXK\nmo5sdt0RyiefQT6x/QTISN90JXZVUp3Wc398KXEOuRzakIQHDmDFHaXvRRG3SslKFPXYO0EScF3p\nIIll6A/Nlf54yETys6urrDz1FL/9N7/Nz97/c5TLusiI50G1yr59sGYF3BTHWumnJ53whM7cK8WG\no0m/v//OuMlZEyv9Le3pG2khtyUEZmDhYBKtr8Phw7z31L/ke2Yfxwt7Pf1m1MITgn3hJqcPHcKR\nUHyiyOzfn+VzXzRZX5YkUiKUwjWMbb13nvvp59rKOgwlrmMwbVlEKtL2TuJzoHyg7etnLQ9e9rLB\nvn5m78j0QM9I/6mtR7h94XaacZe9Y5lI28AOTYpFmLEsXthMUCv6IimtIjXbRsY2pmNSihVeKdrm\n6UeRJn275CAdwWKjMbCQe4EiUUr6MpJEmIBEbqatmJ99Fl7yEkhnoWZN6oxYS7IgXd0qimDON2i4\nRR1F6ivkbnRNaOqGF4aIqamU9Js0GiDNAKwKBJIoMrBHpHNoNhF9F7OtLZ1ViKLxnr5QAtMwmXan\nt9s7rRaBbdMcsPAQQLOqSX+g0l9e1jbXDTcMJv0ueycxKyRhidMHTxNv+vqAGkX6UaTvvrp+zzhT\n+sUioa1Q2HimiUhaTJu9WX2ldJihtmCgNn3m3QqB1DPsW7KTkJtyp5CGyUzo4E1JPaYLFzjCn2D7\n69uUvjpzHrm0vVtjh/QVdlMQzRj4QujayWGXxXVFsH9/D+m3hODWpaWB9s4he57YMnrubHOlPwZC\nKT788Y+z0lzhiyc+T7GU/nCZ0t+n2LACbvR8nCRpK33REhjv+7dcF83hlbTy7++/04pbIydniabA\nnrYnU/qHXIy0kNsUAiM0sTGItrZQb3oTd5sf5P+69wcJoj5PPwmwDIMFb0OTvgB72aZ0a4mTZw3M\nRLabrRmG0WPvKKVY+shSe23fOJZsJVvMENMqmMhI4cc+N83d1Fb6k5D+TTfRniyTkf7x5iP8w1v+\nIZ7U9o6rJLFpIh2wA0M3n3JtlmoJclVfJMNAIAwDYgejYFAMJY1SvM3Tj2NwjBir6CALgsVWi2YX\neYpAT37boNBW+jKUhNgoQ6Ey0u+ydqDTjppYV/4jv0vpBwZ1t9jbViC1dzZHNCnzymWoVKjQYn0d\nilPa07cTQb0OzijSV4ot6Okc+9RTesiZvWNWzKFKP5EJjulQcStEayvQbHbSO80mgevSOHFi4Htb\ndX2sjiX9rJVDN7oKuf5mBbe0TqvQQm2k+20U6Yeh/p27fP8kknrtFNfV9o5y8CyLJGkxZfauwKaE\nAgMacyA3A+YLU4RS6sXqhcQxDCKlqLgVhGkx7du0KrRJH4CNje2k3wyQAy6u2TwUaUmKniCaMWkK\n3VKleKjAgZT07USndxIpSQyDG5vNgfbO4cI+Qpte0s9z+uNx8ktf4tYHHmWpdQ77+nSJQd8HIbjz\nxhbW9QHVv27iJkl7yTTpSazHH+ZQvIBfAlKln2X1E5kQiWjk5CzRGG3vNPo9fdml9CMLS5lE1Srx\n/CJfKL2dqdp5ROD1ePrNOKFsmsw11zl1+DCOVLhrLu71LifOmJhCtpM7QI+9I30Jkrbv32h5+KrF\ndBLglRy9qlXic/PczduU/ktfup30Gw29Ww8c6OTkAymZmYFTUUr6Qit9F0lsWggTrNTeOVC2WW0l\nqHW9DKGX9pxHOJiuSTES1IvBYE+fGKvkoAqCRc/rIf14Ncba5xBikrQESZJwz8r/4se5j/eoX+Kp\nx1P74NixdlwTUnvHtkGkpB90SH8uVFQddyDpb4zw5ZuFAkxNUabFxgYUKtresYQmfSsc3dvmQqnU\nY/EcPQqvf31fIXdIZDMWMbZpU3Eq3P7bvw+/93vt9I7peThJQq2/t36KVi0l/f7JWUGgJ2Hs26fr\nG63W9h4dXUq/tVqiULyA7/rIra6FgochY8DHH28/lAQS5SgKhQKhDVJZeLaNTDzKhupV+qFWxY0K\nUI3ZV5gmlBLbcvClYt62iaXSM3INkynfpjGNTh5cuKBtgQGkL1sBcoATl81DkYaiEguSOZOtJKFk\nmrjXuezfUIQLC9iJVvqelJSThMVGg5U47k3vJD4HnTlCU/Uc73lOfwLY3//9/OD//DrvfnKG5JY/\n0w+mB6bVrHH4NSHn79vSSj9bjckTWFED10lJvyV7FlLJvO5IRCjZmXm7bXLWCHunkfYnyDx9Qyhs\nS9GSEiuysJVBVKvRqCxy8CCI8jSO1+r19EVMybKYq69w6vAhbAHuukvh+gLHnjexpGpn9IGe9I5o\npImM9EReqq2QGCGzkU+j4iJj7SvePHvzNqX/ildoldmNzM83jM4C34GU2NMbeHKTv3v938VX1Y7S\nN0yEDZavlf6haZuNQCDXdYHMy/zjlPTdUFAthwPTO44RI0oOCIO5KOpZdjBaiTAW3JT0Jffccw+/\nW/3/OEONx3iKt/3K3QghdO4xK0gAy5uCs6dslCghLNWj9A8ISdUeQvpZy+VBv7nraqWvWqytgVvW\nSt+RsW7AGY5Q+sBSX0/9o0fhda/rIv0R9k4iE2zTZsqdwlndQNZqxEov4YnnURSC2qDqPNCoaWLe\npvSztQcMQ/8dObJd7XeRvnfBoWCfxyt4qGqMgvGkf911Pb6+CCTYCrNcRjgQSwvPNEEGlM3eJRNl\nJDEKBrUp3X9nzq2wsiWpbenJOhXLIkbp9I5pUg5S0m809B3Mrbdq0neMntbKqhUxaMns7KsmKKaE\nIJmxOqR/2GVhQxHMz2MLPTnLE4JKHHOoVhuo9A/Ys4SWQnXN2spz+hPAPnSIz33/jfyf9VvwjnxR\nP5ipkWqVZRXwoy/b6FX6LYkZ1bHtefwSmC3Zs5CKF3tUnAqxiLWiL1sYltGj9JNGMlLpNz2PP1xZ\nobEe4ex3UIBjKZpCYMWp0q/Xqbqa9GVlGido9eb0U995obrC6euuxxaK0kYJtVDg1HkDU8p2W2Wg\npw1Du+NkOt7V+gbCSpgNGjTKek1QP06Vfh/pHzmiOW5trfN9epI7XfbOVulb7E9ez0JpgYCajrRJ\nQYSJsMD0dXrnhnmbapy07ZbMQ0cWsAoWbhCz6XrIQLLUWkXEUWdMxARlFwKLspTtIh10k76F8CR3\n3313z++wtLXOfffdp+NI11/ffvzZU5LnjjooWSFYMIiDTk7/IIItxx5s7wy5yAO613+lQklqe8cp\npaRPSvrB6CU5V/sWRz96FF79an0NHLdcYkb6FaeCu1El8H0Kqe2H51EEan3xyAxeU58v2wq5mbWT\n4ciR7b5+l73jnbMoWmfxXR/qCa/9vd/j+JC1kQHNgG98Y4/SF5HEsBRUKgjXIJIWnmODCCnRR/qh\nxHRNalMKpwFl26HuS8KoQskE1zCIpaJilxGmTdGzqE8bHaX/ilfA5mav0lcK5cfI2KBe702xZaQf\nScmMTEhmTDZjLcw+fuHjzG9AMDeHI7S940lJOYpY3Nrq8fSFFHr+gLKJLYPQlHlOfyewbZstK+KI\nOkw48zRrrbU26derVUIp+d5D6zhJQhDG7Su6GXvgzGFVTExf9RRyvdhjrjhHLGM9G3dGk6pZMidW\n+s1Wi988e5ZkK8Get1GWyXXrT9H60pew41TpN5usW4u6Fcz0NIXA61H6GaEvbF7g9OIiZmzgNl3O\nNFxiTGzZ8fSh195JGmlv71AilWSrWWO6XGK2WaM2VUTGilCE3Dh7I6stPTssI33D0GTzZGeZ3t7k\nTpfSX7UfYc57A1PuFDEtnEKCrSSRYZLYYIZa6S9WLEK7Q/p+au8oVcByLZwwYssOMQsmH/jaf6Pl\naRsoilLSL7ngW0z1kX68EiNnXX2R8ToJrW488sgjWqEeOdJ+bLUmEE0blEU8owuI2T44qASbtjUw\nvTPsIg/QtO0+0g/BLuOoiHod1KA1e7uwbHcWUlFKk/4rXwkFV4EAq6yV/qC8fZv03QrFzTpBEOjV\npABaLYq2TX3I+sKtZktfUHzJZ5/5bKdpWz/pDyrmdiv9F6CozuC7PqoheebGG/nWqEVvoqhD+tkd\naigxLJ1dVw5EwsSzHZABRZKenvoqUpgFk2pF4TRMypZDIBVCViiaBo6pp+hNmUVi26LQhNqMico8\n/Ve+cru9s7GBVCYyNrjnHnj/+wd81UBiAEbBZDNV+p/b/ByzWxDOzuJKbe+0hKAchhza2OBCV3on\nSAKKdhEjjklskxZRnt7ZKTbMkGKgWKh9H/efuL9N+idqdf7e+QJmvYabJDRbcTuuSRgiCnMcmCtg\n9RVyW3GLmcIMiUxIqtrPB3bk6VebTZ6oNbFaEnvWRloGhy48Seub39RKX5pEzSYXlFb65uw0xchv\ne/pFu4gwbEqmwWx1hc3paQKxgDfrcfykwey8AQpakfb9oc/e6VL6j114jAIlysUis40tatNFRKwo\nWLt4hroAACAASURBVAUOTR3q8fTtdI3wV78annii8316JmZ1Kf0L6nFKtddiGiaOmkG5dRwhtd1i\ng5HaOwfKNnEhQW7p2/2w3V+/yJpY48MNn6/+wWP8Hr/HiaWzkHR679gkNF0XI7QoC0Wza4JOtBIh\n5rS9I4bNKFVKk36X0t9sScyawwqneEY8RSsbV6z46P/9T9mwLW3gBoF+f5reGan0TRMqFYpCk75d\n1Okd1wip1Ri8UHsXztFZSGVlRV98Dx6EsquLe4ZlgMnA2aOJTHAsh4pTobzVJAiCthjA8yiaJs3u\n6epdaDVb2As20pe898H38sXn0jvmCxfapL9x7wbrwet67R2l2kpfJpLgnKQsz+C5HrFnEjsOT3Rt\n8y9O/gWntk513h+GcOON+qBLJbUmfZmSvkEsTXzXARFSJNmm9A3XYHNK4TRtpmyHSEkkZSpRhHv2\nLLGCaWET2zZWXeJVFHGr1VH6Gelnkc3lZRQ2MjZ59tnBy4HaTYVvWThYWumbJsulZaarJsH0NI4M\nKbgKT0oqQcDi+rqObBaUjvImPiWnBFGEcGyaMszTOztBo9Fgw/Bx/YRDre/nq6e/2ib9p5+Leff/\nE0KthpMkNJqJ9vPLFkYYkbizHFoo4Xiqp5DrxR4Vt4Jt2gRbQYf0S329d0Yo/fVGg7kWJFP6ZJWm\niZuENJtNnMTElAaR53Eu1qRvzU1TjnxcU5O+YRgU3FlcwGkFHDz2LI+xj/pcneeeg1e80kAYJoEv\n2oquO73T7enff+J+5uwFbBvmqxtszZaRMZScEotTi9ty+jCY9LsnZgGEStFiDVnXTchcMYd0a9hS\nEmKRmGAGupB7cMpGFBNUWjQMAgHNJh9+/j5+4L4f4O4k4cxfLvH7we/zwEefhLjL01cxLcfBDC1K\nomMvQUr607qQO7SNQLvR/1T7M+uR5Ozjf8CP8C7+3el38+Gf+yccP36chhCcvO0Ia0Vbxzsdhy8/\n80WSVmO80jcMbUvYMUdvWcIqBFjONI4RUK+DDEaT/nnZuc1/6il4+cs18ZdcBbZWf2ZhcKfNWOpC\n7oxZotII8KOoo/Q9j5JhDCV9r+Vhz2vSj0XMl5//sn5ieRl5+DBKKTbu3aBWu7FX6WcqwTSJ12Ks\naRMnauK7PnGgD6Qnp6fbL//8xz7P177xtc77MxZ9zWvaFo+MJKaZKv2CoZW+44IMcYl7C7mp0t+o\nSNyGTdlwCJ5+jPh4leL6Om69TqIU09Imsm2MqiCoSMJBpJ/0kb4wee65TjPB7uESShLTxJEWm0mC\nXa3ywrkXqNaWCQqpWLNjHQsOAqZSjrCmBFGk/fySrUlfOhZNok7DtVzpj0ej0WAND9uPmDL3Uwtr\nWpXt28eZNYNSYEC1ihMneF6MaOm+O4ZSRMVZjsyXcL3eJRO92KPslPWFYCvEmtX2jmEbKKF0W+XG\n+MjmD5hzBLN610nTwBURrTCkkBht0j/lpUp/ZpoZGfBwy22vqFV0Z7Ejnz/42gZn//V7eNuzX+Sj\nzY/y3HP6zjQxDIK1KqV0aT97kNIPJV86+SWeXvlb7v2TX+fLf/hnnHUCZKIo2SUOVg5y87MXUH/8\nx217B8Yo/S57x1NbRLUFvX0xS2JVsRJJIE1iGwgVx+tPsL9oo8oCUU2XgAwk/NEf8c3Nvoox4G/E\nPBx1Ips2MU3bxoosyhKaXfZGdCEiqmhPfyjp1+s91s6xY6AaZzjx3H9H6nIjW6vn+M3f/E29ghWw\nWbF10a1U4pf/f/beO8qOuz7/f02fuW3v9qaV5JVkyXKjmxhMzRfbEFqo+UECgUNMCIf2I6EllIAT\nICEQYkwNcMIvgLEBl+CKC+5ylWxZttqq7Wr77m3T2++Pudu0t6lAfL7Hz1/2aMq9e2eeeT7Pu93w\nCaZnjzT39AHSaQ71tTPy2r3ERoCiti2SftiE9Mf9pT7V8/OLHaAxlAhhgfTV2mmbC/ZOh1ldhfn+\nSntHFOvOF7ZsC6VDIbRDvNDjlpFbEgtpfJwPn3MO/z05iTfmERu5lUp/eY5+IbExZcdLsnc8hbPG\nxni8vZ1KJVkUbLl+C9pN2srjVRWe9azFYG7sxohCkFSpKgKBL2CpKoQOWuwtkX65TGQFCKrAvOxz\nm3srX3/rZ3A/+X7Cq+7k4Ec+BpOTBAhkIhlXkRCKIU4GXMtKSH/9epBlBM9eIv2JCSItQxSsJP0w\nTFqTyNV7OhJF5FBk10MP8fhb30r405D3Ru/hmiuvwxM0dBzMMCRtWQimSa+qEua8VUo/VhXKsfOM\n0j8elMolZkUH2XYwZCPJvLEs6O9nuigj2zEUi8SxjOkESbqmkQQ8j975CFe85Y18Iv47wtFwVSBX\nERWcCWdx+LkgLAVzw0qIkBLqkkDsOFwotuFkk4c1FEVk38PUNPJuGdkL8FSV0UIm6eGVzaIaMl8o\nCIxWQ/yammX25pt5YnKJLG6dupVHH93BmWdCIIh4O55A37ULqJ+9s/P2nfxg5z8xsudBHnz8AP9z\n01fx/AhDMdBlnRcdlfF+c+0K0j/zTNi1azGJZoWnb1bjCE4UYYbz2PPtyfWDPL5cQApC3FjEE2Mk\ncY6P3Pw35GUJIRMQFZNVmOeEcO+9dX/XkSBk0vOYx0OuKn3Jl9DDKrlW4U16uOnE3onqjGSMi8UV\npL9jB8h3/4j4mOkDv/vNbxaLeko5OVnaGwaBWcKvFJsr/TgGXadiaCDF2L0diEoWDZO3f+sCYrtx\n58lJ31v8g1esACGTxFpSSgxy8ggKqlAzbXOB9NtLCXk4nrfS3pEk6jU7Ni1zSelHPuOVcUbmR2B8\nnCcyGWaDAHfMJVIzK5X+siBuUAhQOhQUNyBMhcSezEvHxpgxDF77ZwF33QWxHSONLCtuW3hpnHPO\n4pzO0A0R8ReVfhCApWkQuSiRu5Sn/573EN1xN5ES4f79Z/hK/BWmDi913XXGJ5i8/XaCGNKBiC/L\nUAxxs+DNziYkm8tBZydCaX6l0tfShKHMxMTKtuGaBmEYMP8/v+C7wVeZvvkG7vvWt/ALSUZaSMhP\nfvhtpmMVHSeJyVkWVEk/yHmMRw53FUuJ0nddYkWhHC0j/adRnr78v/0B6mFifp5cykByLFKqQSWw\nwYqJBgYwyyqCFbFnapqRJ55ESa0lPCNE1OEKYPqnvwRgDNC/qmO9LiGkBaWvSAruhIvWv6ROFgq0\nwnKIKZh1Oxdi2+TLMFEdtBAJAkroUTEMOp0CitmGl88zvYtF0p9NbSYCylUlrShZnvjSl1ed+qmn\nLuOss77PrCDiTRXQwuTOXGHvLPP0Cw+u7CNSnh3l7uzO5MYD2qUMTqWwgvSz2cTO3bcvSXbQ9aUG\nk1YY0iHLOFFEyZ+D2UTpS14eXyoghmnsSMQTQY1D7MAmK8tghETlBdIPVvRNOhaTYcQ3R0fZNgRy\n7FORJORARA/FFeTlTyZBXhcfv04OvTc/v8LP37EjJrjvxlX77R4bQ5rZD5uhkJMol6HLMIisAqFZ\naar0y2EIgsBcLvl7lLv7EKQ0G6YfZ/3o3dA2WPdYgFl3KaC3rXAtv1z/Ft5+1VsQOj4F1pLSj71k\nvvKf7drFt08/nQ5FWSzOypc9yikZOwhW2Du6JGHVadFh2iZKh4J7xMULPV667qXceuBWNoyPc1BR\ncKMId8wlvSG1kvSX5+hP+ty8d5y9UURpb4E95gjro4it4+McEkwOH25DtEXUA8tmHC+0cOjuhtlZ\ndkzsYHTmCBILSl/E96ukHzrIkbuk9CcmiKcL3FPZA09tq/17jIwQRp2kIhFfkqAQ4mfAPXw4GZAj\nCNDRgVieX+npq+uJTCkJxh5D+pdccglTP/shvwW49NerrmnbJrcJOq/GwQoVUqYJpkmfquJmPX4w\nuB990iRfVfqoGqXIfiZP/3gwVSohZXPIToW0tqT0923ezOBkxI3xjWw+cpi7r/8VP/rS33Dtzdci\nafD5Y87jlBx2PJD4iqZnLtk74y5q39KNulzpF/1i/Q8Wx0izDpXcgtJPyvBNw6DHmkE1Tby2Nqam\nlkh/dNPZAJSqN7aiZIlrtJP1/V0MDYGPgD9TRK9mZcg1lL5rukRPrn4xXe3clywxgXYxjV9eSfqw\nZPF89avw0Y8udjDADEM6FAU7DLADi/Js4tuKXhueUET0I+xIxBVi5DgZ7JGRJGI9BDu5uSsVM7Fd\n6mAiipn1fSqqhxz5mJKEEkiokZh451V4kx6WpuAhYTt1esvMzq5Q+vfc8zg4tWe5rnnspwCUcmLy\n8QyDwKwQWRUCTaNYrP+bLxSNzefakfdoVDqGQE7x3AP7ARD8xkq/6LgE1RTRMWcPW533saljE3Pn\n/C2xlHxnQROIvIhb5+f5xfQ0TywUAVaVfq7oMN6l4Swn/Wr2jmXW7udvO3YSyHUST//ijRfz25Hf\nEkxOcjiOcbwQb8IjQknYb2FGZpW0d+zYwUs/8CI+Nfc63h7D4d+O8snCx3jigQc459Ah5vIVjo5H\nyI6MccjgsG0z4bpLTJrLQanEjDUDHohxMk1K0AR8N8KXZWTfR4rtJdKfnycq2Txhr7YHF2DNzKAH\nErof48sScTHEz4J79GhC+sATmsY/XP41rrKuwnXdJI4hG0SRzNlnL2V/J06UyX/91381/A0BdhGj\nxi6m55G27UTpKwrbzjiAHEgc8SJkNV/9+6kUI+uZPP3jgVOpIGfakF2TjGYkA4cti0c3bKB3tMQ3\n+ebivlEY8NUffxVRi6g1BnbHfQnpLyp9UcGf8FH7l0h/oUArKAcUvQakD0QzJqVqHCsURKTAx8xk\n6DGnUM0KXi63SPphNsv+TefSFybDRt70JoiiVM3zZjK5ZPwaIl7BRKveWMt77yykbFaWD7FdhrFo\nZlHp58UUgVmuSfq/+hXcfju8731L248eOYJ73XWM/u6OpKtjRSSKQHDzuEIhIf1QxJVi1Oo0J0kQ\nEH0RK5UsfWbmple0xT4WEzHMBQGm6iFVlb4SSmihlGTJkAS9wnKIJSWBXMet/V0rhcIK0n/ssZ/X\nva4ylsw2LmcT0o8MHcn1iS2buUZtFIBKlZCKuTyppyQgxpLyvGD3AfbJmxHCxqQfA5PV4QqT3gj9\n4rm87ay3IQs+SMl3XlD63xobIy2KHFiY/7xQkTtvMtohr0jlxbIwFAW7TsM1y10K5Hqhx8WbLuaO\n/bdyRBQTA2zKT6q7nXhlgVbVk3/HO97BvvE9q857zW9/y9a9e6n0mByZKqJ7OkpF4ZsPH+R74+Mr\nSb9cxvRNRF9ACd2E9BUB10nSHrUQpNBZIv25OaKSzXSwukfO4vcqFMh4CqoX4Usy0XxAkBUTT7+/\nn4ceeohzHniAr/zy5/y7++9ceOGFxEePEksaUSzz7GevVPqieICghgg7FnvjEC12sGybVByDZdGn\nqpi6x+ue3MLpaoSd2gieh6DpFCLrmTz944FnmshteRTPRNd1KiEJ6ff3s+vIHdisVHQ7D+xkJp6u\neS5RqzbjWmbvBJPBSnun2mkzrITM2/WrMwGCGZNCtqq8RQE58Kl0ddFXmUCrlHGzWebmkir3bT09\ntBdn6fM0SkHAzTeDbdfOtsjn25KcX0T8soPueTA1tdreEZN0vFoYj6YXlX6boBOalZqkf8UVcMkl\ni4kvPPjgg3zrwgvZ88UvsvsjHyO4NsAwkocjdvLYcQHBizDMCTzXWlT6AKoD5XTi/8/N1/4NFjAB\nzPk+luYhRT6mKKKFEuoy0vdnfJQuBccTEtL36pB+qbRo70xOxth2fdJ/aOg8AMqZJF0vUhWMIJl7\nOlejBmDFdaoEXMi1oZkhmeJeYkHk3P1H+UHwbqKg8fEAB0cPAzATjtAjb0CVVESiJaWvCowWbe4q\nFnnfwMAi6S8o/VTB5GC7uNhsDQDLQpMk/DqrG9uzFwO5fuRzWv40Noft7N8wDIA4Xq35cKKVBVqu\ny5wk8cSx5dtVzJfL9D/2GOG6CkfmZtA9HbPHxH6q+gJdCORWlb7lW8iByMTR3fz04Ycp2ON4bkL6\naggEFmYYJvf4/Dxx2WHGr0/6xDHadIjkegSSxOz8DI5s4kgSXncHl156KcvXwL/73e94/NAhYkkl\nRuHZz4pXkL6iNC6uW8AuvIT0PS8hfV3nrbkc/8+TZ5Eq62yRXcrGMHgekqZTDK1n8vSPB75lo6Xz\nyIHDWF/Awfb3846pKb7/5S9zWemymsc8ae6quX2mmgWzEMhVJZVwMkzsnX374BWvQDREgkKAIAsU\nSqt7bq/4bAWLUrpKwoiIQYDZ3k5faRS9UsLSM+TzSUbA9Z2dPGfngyiezJHZkEoFrJna8YJ0OmnT\n7McCQdlFz2QWSX+5vaN0KpRLtcvgzdhG9pJQTU7UwbIIgqU8fUiSKlIp+NCHlrZ97Wtfw1umGEv3\nlUinj1AuQ2y3UTSnKHpznDVxA75dQo3DRdI33AhTzxERMV9s8LCSxFmWSD+gIoqokYQcypjVCmR/\nxkfuTLJsXEQcv469Y5qLSv9Xv3qUKDpQcz+Axzq3AmClEvcp0BQMH0THbdh3B5ZWVcVsFsP0MUrJ\nfXa4V+MxziIMG68UAJ48lCjm2WiEfn0YRVSQiRdJX9REfnXzbfxFby9npdMcqNpBC6Svz5XYn086\noBqSlKScuC5yGNYdomJ51mKevhd6KJLC88RBdg8nObrihI+UlRLSX954zfOYERtTQ+rQITjN5Ghh\nGt3Xmdkwg7DHYT4Iljz9bBZKJUzP5ObSdXzvv7/GO77xDb7zvbfz4MF7MTwPNQQ/cslKEiXTBMch\nKjvMuI3vI3Ha5bHduylf8gHeYL2eB976Wl60Zw+vu+12rr766lX7b5uaSmwsRJ51doxlJQtSxwFJ\naizyFnAAB79SxHRd0nFSXbw1DDnDacd1YaNoMqcNgesiagbzQeWZ7J3jQhSRkjL4sgFyQPSJS/mp\naTL36KN1D9lRfLzm9tnpJDNjub0TToaJvXPwIDz6KKJezUnO1C/MWoBnWVTkKgkLAlIQYGazDBQO\no5cKlOX0grXIb9JpTr/vDmavv457bnuAwUGwJ2orsyAooqoQxxG+pKG1tcHk5KriLKVLYb5Q/0a1\njyTnT8cKguOsUvobNiTP9/IJgVdcccXKk8QA11EsxpS238IvLvk2f+q/gV8e/R6uFCNHQWK5ASk3\nwNQyOKpDuVQ/IAqJ0p/1PBzDR6wqfT2WIFaJSUrh/VkfpVPBcSCSJdyg9t+rYtt4AwMEUcS999Z+\n4S9ed+YIPP44gZ1U0fqajBGA4vjM2bXPv3idKumXMxkM00Mv7+QV+3by0Bl59jPU8NgF7B09gB/6\nVIQxevW1qJKKFMdEC/aODDfIBn/d2cmwrjOyTOkrkoIyW+BAJsBWVfSqtYBhIDbo5W/7idKP7AhJ\nkBAFkZ5SxP41A/SpKspEiLHBWCL9ZUp/vgnpz/khgiswIc1jeAYTwxOk9/nMBcGSvZPNQqVCsVLg\nGusXi8cGgcsvn/gBhpcofS/06PEl5qviLDZdZpuQfjxt897LLiNeNk87BG7aN1JzfzmOiaPkBbt5\nXYSiJITvuiBJjUXe0vljdu3Zzcj27fzippt4t23z1GOPLbZhGKRESWqnHATIukEhMp+WSv9pm70D\nYIQGrpymcGA7jNZuKrUc2+d31txemE1+VNM36cv0kfbTEIGUlZIJ64UCohrjTXsNc/QX4Dk2ZnWY\n997gSb6//0oeevcPeH2hgLTzPnrOfzmbB16DFyk8ds01PH7Hk4R3fJ4R4PnP/wrjhdp2hecVUBQQ\nI4cgnUfXoyV7p7pPWE5If6ZQ/6GoHE7Or4YCiuOvIn2A9val/66nFBWlyD333Id9MMmIiYn5nbmd\nzMS9bIqfhRM4xHFM1vWwlBSCalO2GqsmF5ibnwcjS0lXqAgCOhIuGpkgSFrazlbtHQeMNhF3to69\nE0V8sVSi07aZnGxsK+274jNwBQSGzEPvvIk3KRIDcjuKV2S2wWBzSGpGAEqZNGnLZS4qcdWll/KR\nP+vj0NW1Z+sei4MTRzlcPIwR9pNNqSiSghTFxGKVCMQQS02zSRBQdX3J0498zr/xfOxDT3BkwMHJ\nZNDDMCH9VAqxwQvL9m3kfBLIVcUkftVTDNh2Vh9bUinUCQ99Qwpnv5PYZAuCyvMatpoGOCDJtB2V\nmctWkKIujqydYvjGmHsW7B1NAylpeTG2ax9mvHK1tnt2O+d6LmEInuvxT5f4zPzbLMOAV3GYdxqL\nB/tIgYcP1JgDUG//bJbqwpSMFpFOJ9al64IgtKb0Aa68/XZ+fc01REHAw8AvX/96PveFw3heJ0Fg\n0RMVuEdR2GykmQsrz0zOOl7osY4jprGma7eOPRaPztT2ICtzCWksKP3OSif0JPn5VAlejN1Fpd8o\nfQ/AcWw8BWYKBf61eAl3mQcJ5ufx4hjbdTh0+w3Mzf0LX7z0UqLLLluRNb5jxxdR6lggrldEUUDG\nJjRy6KkUTE6uKs5SuhQKhfrqpHggCUQrQYTiBTVJfznqfV9ZNrnlltVL5Xt3/Rw5DojiiCAKyDk2\nlqxjqRYVs7lqsqenMUo6M1kDEzCQ8ASNjO9jhiHBbIDSqeC6kG4TVsVvFlCRZWaCgEnfZ3Z2qul1\nk4sHXHPNx3FViTVKJ5ofMVsnELp4nQWlnzLImDa5skl6rswTQxIuram3sekZRuZHyPjDScdSSUWK\nk+I+gJiAtO0juC5rNI0pz8ONkr/v6Y+ejjWZYTojYGcyGK2SfmgnBYuKQCpOkgc6iz6HOzvZbBjo\nkyHGcFXpd3TAQgaT69KMBg/EAoPlGCHj42keBwbLrDtEYu8sH7WYzeLO1j6bPDdHOpbpureLrqMx\nO49WQJKYKheJaTzQvHiw8Uv+WFQyGQI3RsQmMv0VpB/HrZP+V375S6JlQd+KZfHII/+9WJy1jnnu\nMAxUPc2cX0qqv+L4aZWn/7QmfS3QsKU0ldnmKh8giGt3/nMKySt+gfTz5Txx91IjJgAxtKsl583t\nHdMyETWBm2+7DTuu7a0/9NA/8KXPfnbVds+rEO3cXuMIcJwiggA6FqGaQUunYWpqVXGW0qVQKNcn\n19mR5PMrYYzqNif9I7UmJwFRNMqtt/5s1fb54hGkqo/tBA5tjsVUaLOTncyUDte/UBWpuVnUsspM\nJkUFMAQRJ9ZIex6VMFxh7+TaBEyxtoVREQSsMKQUBBSLrZPA1NROJiKfDgwMH442CT4vJ/2cabF5\ntELljA24uIhiY2toAUfKNiPzIxjOBgwDFFFBjJIKUIBY8EnZCWHKosgaTeOw4xBEAdn5LGHJx2xP\nY6VT6EGQMFY6jVCuf30ndJAMCcEQyERJxL6z4DKay7MllcKYXGbvVP13IAnkNsjAAjgQRayt+KQ6\nBAIt5EhHSNoBd85fkedPLoc1Xft5Cg4fQprS6PhlB6EmsK0cwNAQk1bj7DkAz2wchzkWZcMg8mMk\nbKKSQzqdvDcTd6w1e6cetm37Cb2Tj7H1l3exUaxwWyaDYqQpeeUkmOb7z+Tptwo5kLGENObsePOd\nGyAwA3zfX+y9ky/libuqN3XVRxQDs2Wlb1slJFVidGFKz3HCrzW+CrDt5KFLCWVCOYWezdbM3lG6\nFEpW/Vz4uSNzWJaFHMSoXtiU9EdrTU4CfH+UdLqr5r8VnOQYJ3CwH72Xv9/1//LVua/y5PR99S9U\nhTo7jVxRmM5lMEmGyTuxRmaB9KuBXMeBtjYwxdoPeCWKMMOQYhBQLreo9Kt4yjbJhTJKBIfGa3//\nxetUSb9iaLRZJluOOphnbmHmwRk2bvxwS9ebNn1G5kd4/pPPpe3KkUTpR0lMCCAiIOWE4Di85qev\nYY0qMeI4BGFAZi5DEOnE6TS2YSRZXVWlLx2u39feiRxEQ0TQBVJhtRd92WdeS7HBMEhPRegb9IT0\nq5k2AHge8/WKE6s4EvhsKDsYWZVQiyhLBqXTZLL7/ZXzdXM5rJnapLrjPy7nkV+YfGzPx/iReB9H\nHIHZLVuYdGrbeSeDoqrysPcAD/MgQdEmlVpS+lHUutKvBdsusn5yG5vu3sVGyWWfrlPu6GesPEak\nJKT/TJ5+i5B9GYs05syJkesiYpiensbyLcZ2j1HcV8TrrKbZzc7CunWIbhlv2mtJ6VumiayLzDQY\nvHEicB2TMAxJU8ZDZTycW2XvBOUApUuhYtV/MOIo5rHHHkMJQuQwJvb8E1L6jnOEubnaq6zD5WQU\nnu3b7LzxKtyodeW18XczXHSzz0w2TSWOSQtV0nfdFUrfdRMusuqQvhkEmEFAKQyxrOMj/T0Viw47\nxlNE9uypVd2xhEWlr6vkrRKTj7u86OpbmPjRBHv2XLdq/z5h9YvSLlkcGj/E2+/ehLqvhLx3P5++\nUyBaIP3YW1T6Dx99mF4p5oBtExZCZF8mNLrIaFksQ8fw/UXSFw61RvrpKA2AFeq0BTZpSSIzFS0p\n/WpOvRd6TM2NMteoXz5w1HfYVC6gKmlCVcQSMkSbNdYeAlvXEz8fIJfDnmtM4i4uV9tfY8NYmd+c\nfz6TXoMBLSeI/3jsMT4RfZwP82Ve/cE3YRj+IumH4ck9x6XSNJo1i14yySo6F01P89vBdXz4vA9j\nExC77tMqT/9pHcgVfIEKaayZ1Q9lWtAw49byawGOjB1h++XbueX+WwDY1ruNB0oPoE9NcHAojVQo\n4ns+6qDKoTrj5xZgORVkTWRm/OSWhbVQKpXIUKDgO2ybupNPHmvvVEK8vEjFbvwg7d69m9OrMwZk\nz0JR2uruW0/pFwqrC3MWcLic/Nv45DiFucaZFsdCHpvDmrmbL8/dxOTVv2JHKHKTkiE//TzKF11E\n53J7JwcloTbpx0DZspAMA9c9Po93b7nChWYOT5U4uP9gw31NM2nLUVEVHpu7lrusGBq43t1COwW5\nhOMvy993PXp+shZPkBHdEOGhh9gwJ7O7+n4IYx/DCcBxcEOXfhkOOA758ervrneQVtNYuoae9tGg\n8wAAIABJREFUMFXSx2a0PkHa2Ii6CDqkqgWB81KaNmy0SkwQgdqrJj1/qvbODXtvYN9D/8l8E9IP\niGmfO4wWnkugBthyDnWDzmkTNnNdXSw2pshmcSebW2AmM2R27uLq12xmXXhN0/1PBvfsfIBnPeta\nTPNNVdI/uefYNAt45hH0yMFQDN5w9Cg/2rSJq1/8TkzpS9y681f0eGc94+m3BBfKUQpnevUD/UdK\na6lyC7jy11cyff/SeXZP7uYnP/kJ/tRRbspOIpoF/Gmffe4+pqYaq0bbtVA0iflTrPQh6QHyjfgX\nHJ7YTUHxFpV+GMdEfkQcxHxwegTTa1L6XywiB9VeP4G9Ik//WNRT+o3wROlRuBw++7er4xbNMDGz\nh6v3fIyJmRli2ybwTGbMSfb95jdc8+MfLwZyF+0doT5pVCoVSmFIEByf0j9QMsmZAVOKTLnQXFla\nlkU5DnnAeqDpvhoy/fnuVds33nMav167DsEJYdcuMq5MdfggYexhuCG4Lm7g0ifHHHAc9m/bzzf4\nBv9i34HqqliampC+aUIqRXi0/svfxycW44T0w8TPGOvoxJBslMmAQs9So8G4SvpHSkfAdZpWKQNY\n9mHSpSKOquLJedrWGvRPwUw+x20Hbkt2yuVwSi2Ks4Mj3NrZybjU/Noni927P7qo9H3/5J/jWfMA\nqXLSHPKi0VHuyWRwkcik8nz+t595WmXvPK2VPh6MRzKRt/KmSYkyg+HxffSv/fPXVm374Ac/yL9K\nEoceD7le+REfiM7i3qn6HSIXYPk2qi4x+nsg/SuvvBIA4dqdDD73JTA/jxyGBHG81OtfDNGakH6p\nVEJaIH3fOiF7pymm4Obrbj7uw/bXKaIDeOiWW/BnX4rSldg7bW1gCfVTKiumSaCqxPHx+cCHCyaZ\nrjw7pdbuo8u/+11CSSKkebm+hkJ/Ry8HpldaY3duGWHS7EWwx2HXLpRIJoqq851jH92NiG0bJ3Do\nkUIev/8hfvVvnyMkaUGa/qc0HZ/9MwzHWRz+4k01fmFZlkWsxRiBAYcPs2fDaWTCMvJ4QKFLQBAF\nBEUg1jMI5TJjxVG6XY95v7HSByiYR9GKMzwVFPBmPLpPS9MzFTOZS3Pl4z/jFae9IiF9s3nFMsBE\nZYzneR6HtBiO+ck7hzcwO7K/pfO0Ats+skj6nnfyz/GEc5S042JIGlKxyMDPfsYbfvhDLgnBdSqE\nXvi0UfpPa9IPnIBDNZaZazNpMqXmN2UrOFg9/43eXjr4OYcPN88+sX2bdl2k1KBJ18kijkPm7tgL\n7e1IhUJC+tWpXo4aEgXNSV/0l5T+iQRy/zdQnJvDn10K5OZyYDVQ+lalghU2DjrWwkTJRi3Z7GtS\nhLSAT3z84y2fW0OivbN/1fZptUBpXia2E6UfcTpxtW+Pj4fuCIS2RUxMl+hz4Ne/JoyW7nNzwmTs\nqT3oz80nnn46jTvTmPRN0yTWY4zQgEOH2DuwBtktIo37zFYXI6IuEkUyoiQxOXuIHs9nrsmwd4BD\nhSNs/8mXuHN6DN4Dl//5HvoOb+CL/pPMfXA3L55/MX+RyeBYzV+UAKP+BB8JQz4grV4Z9K1b15z0\n3/MKhJ9uI67ToO9YLGTvnArSH/enEGPIuvC+O+5g98GD7AZuBzY/3k7ohc8o/Vbwsx//nE4vs2r7\nunwb6VLjlLITwU/5Kdohrel+dujQp0mUGuTKnwpYt43CmWciz8wQVpW+mJXwVIiaNPkqlUpIfkAg\nghomSj+0Qgq/K9B5cefifnEc/15JPyX0YsW1B3fXglUqERQDlPYlT98+VvYtg22aVKzW0iaXI4xi\nJgom+0/9bYQeSwz0rFm1vUiRgicRmB43HTzI7VqKXnsv8CKC2EfzFPxqrCYV+7jXrPa2R264EX3r\n2WCaBFIO222cabao9Kuk/2THAOK+RxDKATPVeMLiuNBcjuLUEQTPY95trs6//eRKq+u7P/n20v+U\n4N3vfjenv//9OG6LpB9P8yeZDH9Rg4SHBvqp33ezio1b0F59GmeesZ6HL/2HptdLlH6M6578c3wo\nTDKfZncd4mcHD674t8lH7Wfy9FvF5PgEu+J9q7av7ewk06R440SxMFqxEezQQTMkzAYthE8ZenqQ\nZmYWlb6QlvAVcMLGRFcsFhH9gKIukBUtBAEqOyrs/cDKoPjs7CxOk94zJ4OcthZBa/4iXYBTLCHn\nZARJWLR3HOp/Pts0CRu0pGiEg0WT/TXm0p4stFikv3s16buxhemK/Ef071zk+3zF3cGnDr6fu+66\nCz/20EKRoJqV5Ue1SdctlTEsCywL2+nEyTYmZ9M0ibQIPdCJDx1itL+b8T1TxOM+M9V3/3LSL82O\nIXoBc6fonvinu+/G8lpblR9hGlPNU67xIhtqa6NhYAqQ0gP0rXeZPuP5LV3PNKFcNomixi+lNsNA\nvvjihvuMxDaFjMzNV9+26t8Kk07ShuFpkr1z0qR/4403smXLFjZt2sRXvvKVmvt86EMfYtOmTZx7\n7rk82qB3TqtY29tLhuNf0p8IVHF1G2Q7ctB1CfP3aO8swO/uRp6eJohjgnKAkBHxVLCjxkvYUqmE\nUCX9jJS8ICI7wjnsrJjQdMJ+fotIZ/uho7P5jlU45TJKZ+JFLSh9J67/gut7wmTdUyf28t3veuyv\nYWMIQrbG3q1DQ6avc/VgFdMpUqls45r42sVtbuzyb//2b/j4aLG0SPoLIz6PhV8sopsmWBaW2Y6b\nbixSLMsiUhPSH5uZQXIjzPk5rnngJvZObiMMwxXBXGtmgsDxcFtoNdwK/mfnTqygNdI3cbnzqZkk\nhrEMopAhJ0mI/asts8V90jqy2kF7j8mk1hqtlcshxWJzwdCeTqO+7xK6s7VbogPMEbGjQ+HeBx6r\n+e9Fv/h/R55+GIZ88IMf5MYbb2TXrl387Gc/48knn1yxz/XXX8++ffvYu3cv3/ve9/jrv/7rk/rA\nAOsGB8lyajz9ZhhIv3LVNjOy0HUJ+w+g9A/pKvLUFCFJumacFglVsFoifZ95PSYrJfZIaIXEUYx9\nYIlEj5f0tX++knRbb+v7924g7mqd9H3HhmRA1WL2jhvXt3e2PGYztOPEludPACM1Rh2m0889ofMt\nQBcV+vJ9q7aXylO47t+s2v7444/j4aNGEqGTfFenzmCW2HGRCwUwTexiDkdrTPqmaS6S/lOui7p/\nBvHmO/jcIx/hviv+josvvhjUpL1ymEmhWx6uvfrZkqQTV6nmccRcbty2Y9W2lNKNrijIQ6tXTwsQ\n21JIQgaj3cbNteZaz87OUm5Q2b6AjmyWONvG618+wM+3fJR3XfgDzlqYMboMV0YR+8dq1xRNMoXw\nBxKqzXBSpP/AAw+wceNG1q9fj6IovP3tb+eaY3zIa6+9lne9610AnHfeeRQKBSYnW/d4a2Ht0BCZ\nPxDph5k/X7Vte7yTv3/B6QTHsQTO6foJXX8vEdLU1KK9E2cksnqIGTUO4JVKJQTPZ16LSYsWt9xy\nC2f/xdm8glfwlne/ZbEA7Xj8/Lyg476wi87e4ZaPaR/sOC6lD+DlEpW7YO94UX2lL9oO0QlmUd0E\n+Me0G8jlOkmn153Q+RagiQp9batJv3hgD/Dwqu379+/HI0BFXlT6jXorTYyNJUp/LoXXpBe8OTJC\nqIWogcqTkoT5//2EcH7pJXrLLbewzd1G5ERYusyw0o1TYyZxPqfSvmpra3Di1snu3odXV3TntTya\npqEN1R9LKeQ0ZDGNq0tIFR3DSDe91tzcBOVy83unK5slFAQq+jyb27oYDgbZOrz6GfjJRH2rbVKY\nIh4YgJPkvlOBkyL9sbExhoaW8uXXrFnD2NhY031ONnC4dniYrPT78fSXI9Pehh9vqvlv9TpT1oIA\nfPwlLzmhz7DP95AnJxdTNuO0SBDbeDT2covFIoLnUTYEDKnAn//5nzMxn6iQG7bdwNe//nXg+JT+\nsCCgjKVIZ1sn8bY1HWjZ+svyWrCzCcnb9ijbt9+M3SC7QrBtgspqgmzXG6QrVVGruUd//2ZSqdXJ\nA8cDXVLpyfZAi83YABx8FGSi6kCUudn6AdqDVdK3Z3TcOoVrC7A+9CHk8hyGp3I/4D+6OsV2u7Od\nyIkwdZHTxC5cd/W9baRUnt3ytzlxPPnkHau2desZNF0ntbZ+bU6cVZClFEVUhrMaXo0EkGMxPz+J\naTYn/e62NkIBikoBT7FpK8Vs3bSaF0oN4kOfjz/LR6dn+PG11/LII4/8XuNozXBS2TtCk/arCziW\nIFs9ruY1EVizcSOH0wr8nt2VNYMDTB1trhiaIatJfPy5z+XHfX3M3347lq6zNT5Iz9H13GQ1bgGw\n16wgl+wke6ccEqUFvBayDUqlEngeJV1iIn5o1erq0ksv5Utf+tJxvYDXGBGHt3eTTne0fExuXTuK\ntY7Wa6fBTtlcf/0NOM5bede7Guffx46NU6Odc0faYN45/iKf7u7NFAon6enLClIsoWm9uG5rLUTm\n1ID2QCSyLdAak/7I5CROro1fHLmZ7f4jDc9r2jbrRg+T6xC47VDt+ohd5i4iJ6KoxQySYc4X4JhE\nCT2j8ingTlEgiH5/gsuyVrdA6ddVdMMg25Glnk6OsxKSbFBG44IBjfFUmkqTmrtSaRLDaO4YdLW3\nEwoxkZLHUipkp6Dn9NNb+DYr8e9xBH/1VwB85zvf4ZJLLjnucwDccccd3HHHHSd0LJwk6Q8ODq5Q\nikeOHGHNmjUN9xkdHWVwsP4yrRliYpTTTkPZsg4eaK3l8oli3dBaRg+ePOm3pRQMx+G8T3yCnr//\ne+4plbj4H1+FPb2Rm2pO9V3CgWIB0QqJSfruBGkRv8k4R0hIPxYETEOmEtfvUno8Sr87q9B79xrO\nHynxUIvHpNbmifeub/kaALZm8/nPfAFoXnAVuTZWjZdgWyoFs8evCvL5zYThyQUxdVkjDmIMY7Bl\n0p9XfGRXXFT6CzMgamH33Bwvv/Me7vf/p+l5LUGg7dAhKkGWie0P1txnxBwhciLmZJ/eKM1DwWrS\nNzIGfwz86R8NcPjeYe6P72rpe50KbOmQ0dJp8kP1ZxdEmRhJ0jCjNGs0jaG1KZ5skuNZLk/QCgV2\ndXQgRyKiNoCpmGTKAutqKP3jwTnnnHPCx77sZS/jZS972eL/f+ELXziu40/K3nne857H3r17OXjw\nIJ7nccUVV/C6171uxT6ve93rFifN33///eTzeXp7Ww8E1kRfH6P/vDogdqqxds1aXPcUkL6ahXKZ\nnCQx4XkYokguVFDjfNNjD83OwegosiDgl0OCtEDQQvApDEPsIMAyFKQ6/ejh+Eh/oEcjHSmsnWt9\npaYMZPC81mMAAOPRDNu3t5blFXg25RoNs1rxdGshnd5MFDVuuNcMuqwSBzHpdOviZl70kEOBuNof\nvzBX/zf+zcwM97fgRQOY69eTKsxy4/7bkxGLNTDtTjMxMcG05NEdqJTE1fEnoy35e2r9Mp/ji7zx\ntTu4tKVPcPJ4bneMnsnQ3tcLcp17LysiKTKunGWNppHKNk8TtqxJ7BYEVGdXF1IoouhrKCsWqYrI\n8JYtx/s1VuCss846qeNPBidF+rIsc9lll3HhhReydetW3va2t3HGGWfw3e9+l+9+97sAvPrVr2Z4\neJiNGzdyySWXcPnll5/UB/6TTX8CJGrw942BgUF8v36aVqvomz0T66hITpaZ8DxSokguklGj5qGx\nsclpmJ1FBoJKSJASCVtIMwMoKgqOpiDWqWj1fb9pc7kFbBnaRPdpOqoKKSmL0IJfreQ7CQY6iN3T\nWrrGAu6ealqGswjftymyOnU2bdRvMNcIbW3n09Mz0NK+7Ztq/366qhMHMZlM/WyTY1EQXORQJHYT\nr7c4d2rSgc1cjv3rDH5XbPwS3blvJxOSSbsvs6dj9edOtyUeuZkVUOOYdaedzcdkAfkPUN+5IQ55\nvabxkb4cUqdacx85k0KQRXw5z6Cqohq191sO257AcZoLqM7u7oT0U4NUNAfDkukcGiKbPTEbcHh4\n+ISPPRU46V/s4osvTtK+luFYr+qyy2oPMj8RXLT5IgAssfGIu1OBnp5BdF0hDBT84MSbQOnrbHbc\n9hr6nwyY7PE5I5UiF4rMx8298bnpeez165FI7B0/LRNMtJaiWFIUAlUlrJPyuGvXLsIabS7SqXbM\nqk+uKYO8l7dw4YUlbgtvQKtAKEt0eh3MxPUVsYjIwDv/hukooltpw+rupTjdWubCI2ON590ux53u\nrau2SbKEkurkOaLII8vU7R9f+Gp+e9P1dc91xuZz8Lwenve8i7juur9teu2BcwaY37v6BayrOrEf\nk822rvRLsYMUCsRVe6c8f2raC8+lUvzYP4TfJNtt5/6dSOkybZ7ASK4LWNlhNdWeAyDIaLgCdKVD\nLEOizWpjNjyBlVFPD+uVeeSywb4mqc/DlkW+u5uNKQOpUyacXB0hkjMpUGKQu+hVRBSjeSDfdSdx\n3ebipaOnBzEU0FNrsKUZYiEm8mWGh4fZsWN1imkznHvuucd9zKnE06NaoAVs1FXeuvGVXLj1QgCK\nQRGxwcc/5xS8Sbu7B9E0SKdOzuLRtrpsWH8DZ79rknOuckgJAqepPWhea1ktB3t7kaOIsBIyao1h\n3XBnS8eVZBlPVbGi2qT/yCOrg4BnciZ/95rLeO0FF3B1ezvv2Xwv65/9Bs7cu4cnsy6qCpYk0Edt\nf/Wdqb+k66IuLlN+QPtr38S459GnqvT2tG7xjI3Wb+ncCjL5DHas8d+9vZwpn43Q1g4bXs8Pfvhj\npLb6L9qXvvgVFArJ0vv/PO9tTa8zdE7tbBJdS5R+LnccpB9aSKEIjkv/XD88emqCpVOSxLWHm1tl\nOw/t5HBUwEZjTlitBbPdyaomzOhYAnSkQsoq5IXjX1H93Sc/CVdcwctfKPHiztWprcuhGipd8/PQ\n05MMnumSau6npLJEUgRaDx1iiNhCgZbkH6S3tK3pfp0DA4iBiJ4ZxEfC0z2CuYDhGmmbreBk/PxT\ngacV6a9dW9sGeO2b38wDG9fy8qE/QtKSH33WnkUX6ue+Pyd18rZMZ+cgug6GYZzUebJdeXr0+5m4\neh1v/lHE4O6Y8zrOJOO3ZiMcyOWQo4g7Dt3Bhz7xKsKdrXUbLEkSgaodF+kPMMDasIstL3kJrzdN\nNrkWj50ds27HTnZkKmgaWDL0C7Uf1i36mXSt6WKNNEwgh4x7Ht2iRl/XxpY+M4A/e3JDczLtGWzR\n4PT+Qb7W+S06v/8reP43GerrwthQ30u9+BX/h2IxqQ34qzd+lk9d+F+s+ega7r777lX75nI5uteu\nbp8Myf0SBzH5fOukXwksxFAAx+Wy/7wMq9Ba07BmuOqeeyhWmge0nzjyBFOyw/aOTjI1VmTZruRl\nGbcZmGJMhxpQVmPa4uMn/c72dj45NIQXOQyrjVMruwa6EKanobc3GTHZVUOZi6AoOUI5IlbaycRe\nMkegCaJoEsVrnr3WOTCAEIiks4N4skqge/iz/jOkfyqQydRW533pNFqxQhALi/0rZu1Z9BoBpwU8\nu1FbyRbR3p6QfjrdmtLPi7UDs9m+DiiXMbakeOJM6DycDLY2JANNaV60NaKqSEHA90e+g++31qYW\noChJ+KpGOaqdMPnwQ6tzcAalQXJlCSefh/5+cnEROychAfMGSJqDpcT0xbWD8V1GDykvRSgIuGLI\npOfRgUpH+/H5+ieDVFuK7R1rKH3/CtAEVA9EV0IUBXLra5O+hs7LX3IBhQLk86BpEn3GesS1Ii98\n4QtR1q5dsf8ll1xCZ0/teoVYkYiDmPb21j39iltBDESCUhZf8pnKnuS0uIXPUquepAZXjUyPIKU7\nKcRAabW11N7RAWvXQnuaWSUi57sUlJC2qHkywrHo6Ojgs2sHiDWF9XJjcdYz0J0MbO/oQJVUxO7V\n30dMi0hhinnZRQpNvMCE5pY+DiUqDQr/FtA5NITgi6SzA1i6TvgM6Z861CO0fsNAnSviR8Jie9JZ\nexZDqq/Az+LkAhaKqqDrHeg6NX3vWhgUayu73ED3UvZOH+SPRlAqoQgK2XSu6XkPhCGS77PXbpze\neSyKooiv6pTrNO96uIbSX9+7HqUY4GSzsHYtWcEmpUUIw8O0aW0IRhFLjuilttLvSfeSclP4CEwL\nDllJIquL5HIn9oCcCFLtKSRZo9IzTKyJqB5IXrJC7ByqTfrniOeSak8tKn3VkMBLGvBJkkT6c5/j\n3Oc8Bz2r85xXPYdPf/rTpLTahKXpBrEf01mj/0492I6JEArsn8pzVfYqJg+eXAZRI2RfmqVXWPnS\njuIIP2ijIAiE1uqVYUdHBxw4gJRNMauHaJUSo20q+RNQ+h0dHbihS6worI8bZ9ms6e6Azk6QJBRJ\ngf4YQV7J6NFAhOjqeGKEFpYwfZNYbc0e29+kcePLBIF0WxuZ8Szb2xVMXSc23BMm/VQqdcIvi1OF\npxXpz8zUnn6UjWNk0yaIlpT+jDWDIdcn/U7H4WSK6Xv6e3BdAV2HA4cOtHTMkFjb482t7U1IX5aZ\n6IPsWAgTEyiCTDrd/KHZWyohlUqrGlEtR2eN/jZH0ml8RacQ1Q5Ce97ql8HGjRuRyyFOJgNr15IR\nfYY6bNiwgbyeJ9YK2FpMJq69LM8YWU7TTiOIJQpxQJ+qkk5DJvOHU/q5nhyqqGKaIKgCig+Kn5B+\nb2/t/Opzo3MQDXFR6euaBD64YbJKsjZsYNuDD/Len7+X93zxPeTzeXRZ59mvWVmn2itJnDuwlTiI\nyWazqGprsSXbKrHD3MEbR6/nqrGrTuLbN0Zf31byA3k2yqvtNquiURQEfHu1+u3q6AJRRJM17A4f\ntVxivKudvNRctByL9vZ23MAlVhX6IxnE+sHUdfk26EniR6qk4ss+Pc+/YDGel5PycAEIdvICNsIK\npmcSKq0JtVp79WaTFVrP2k7+I5vF86DtimEeUYr85rzziHWXYDagZ039uoF6OPvssxFbnOHw+8LT\nivTn52tXIaarS1Q/ZDFAM2vNklLrLw1zMzMMn4TFs2ZwDY4Dx9MypyeqfRNkenvAdckBE32QqpK+\nGgvoevNy8bt27kwGuDfAUI0S9X2ZDK6kUTqO3iebztmEXIlwUylYu5awDD3eLAwPk9fzoBVwjJCt\n1FDMGzYgaRL//MJ/xo+SdVZ/lfQN4w+jbgRBYOsrt6LKCpYFgp4ofblK+plAZlNm86rjXqS8BARh\nUenrhgRujBd6uNUMIE0UcQIHXU5uCl3Wed7bnscLXvACAFRZ5TuvfQ1yXw9xEKOqkMm0pvad4ixf\nmv0nnBYmc50MXvjCt5MjxyZt9ctv/2MO87KMW6OXfldn0nxfkzRe9HYXuWgx29lFR40utM3Q3t6O\nEzigqAhOgNRR34s5LZ1ZJH1FVPBDn9Mu3MoPhB/ykU/8gC+d/QNYA7GVWLDp2ML0TQL5xP6OIvDN\nP72cF3zyE3zmq+9ic7qN88+HDX0y/3XGGewZGiLWHPxZn3ltvm7i8nB/7Qyd/21rB55mpF8Lmmiw\nQIthuNLeSWv1vfY2YEOLXnwtrB9af9ykvyWqXbChKTpkMuQch4k+0EcD4tk5tDDCa6H6s1Aq4T3c\nuNx+3brV65pDuo4ZtG5ypQSDwXMGEU0BR9dh7Vqkikh3cQyGh2nT24jUIk4qpJtuLvjjC1ae4NWv\nRtREwnKIFya/U7+mkUqBJLUWtD4ZnNF1Add9/jpya3JLpK8tKP3k75AKBF7U/wo0cclW6Nr4brq1\nIUwTNA0UBQxdRvATe6cYBOSqvdydwEGTk2N1WUfr1Lj33nu590P38qbz38Rrf/krhMG+RdJPGa1l\naHnTE0xHxzfcfQHSGRfAeefxkvaXN933la98O+kozbnZ1aQ0sfcoU3G8Kg4gaiJt1RWpJmk43Q7u\nEZdyZw8d8fE3Emxvb8cNXQRNI3I9tK76L45NugHVYk5ZlAnjkI4+m0F5HWcO/hHptmqthJmwRA4X\n0zPx5NZjX8uRV1WykoMdWbRHKodm0rzznXD11fCq3jzfuPybdLvj+LM+j88+Tp9aO5toa/+La25/\nhvSPwac//ZlV2y7ueidpUSSWZeIgsXeiOGLenier118650SR4fYT7QuYNIZbIP2Ptzgqb4OwgZ4t\nK9X+sy96dkISnZ1kCwUm+kAZ9Yk6+kEA22mt3sC6v/5AbkEQOPfs1Q/xUVnG9Fv/iQeFftKb04i2\niKPrxENrUS2R3vE9i/ZOqBbw9AiEiG98+xt8SoDXXvQaPmB8GN74RiRNJCiFuKGAxJLSt+3f7632\njvQlfGDwHzn/gvPxQx9NVhJ7p6r0lTB5OFO+SFf7AF+/4Ov8y7v/hZtuuom//MQ/4kpLKh/A0CUE\nL07uNd+jTUqOP1bpO4GDJEl0q93EaowkSgiyQOwnpB+1MGC8FXT017fHUu+9HL78ZZ7fc17Dc2Sz\nz2Xz5k1kogxnt52NoKz000PXZM/UaotVTsmLVqoma1hdFuFYiNPZR8dxzqoG0DN6MqxIVcF16W6r\n/+LYUnEWSV8QBBRRIZO3sI2YcMInNBKtHZQT0s8LPqZv4ogn1tCsXdNIxyZOZCIVRcpRmg9/GBba\nhb3n7jvB3os/6/Pw+MOsTdd+YW3uqE36/9s5+vA0I/23ve2tLP9Iomrw8rY3kBFFMAyEIFH6BadA\nVsuSrlNqb6QM5EyGDd21U+paweDg4CLp/+Vf/iUZmtswOT3Hn3z6TzhfeQlrN5/Jm8W3seGtG1Al\nFYaGyIyN4epACqy2s/FUGddtrbK4srt+wdIbX/lKTq/RAGrfffdxw3duaOn8AAPRIMZGHcGTcRSF\nqGeISICBvTsTe0fLE8oFnFSAQEheSvGPAnz1S//CS4yXgyAg6yJeMSQURDKStOjpm6cmA7EutjrD\ndM6B2qfiRz66omJZIGkiig9alfTTnoCnRnQPdfPWLW/lVa96FT19AbYoLPr5AOmUjOAwUDT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Jrk00/scgyLDhVvehOMNzQSVqCzkiw4xmqVE0yeSubtndSjF/ZIzidkT2WTJl+z1TsmzdFtR/pq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\n9KEPcezEN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FRbnoh+W2s6JicKYoZxTCwO8PT3kH6+tMrmdk4s9UT0X7eyTO0f3sxoz9xc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\n01dlFeJcQ7SdZPpZ1TvH+o7hk+2p9tum6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"text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using QuTiP built-in homodyne detection functions for $D_1$ and $D_2$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=5, nsubsteps=100,\n", " method='heterodyne', store_measurement=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 8.13s. Est. remaining time: 00:00:00:32." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 16.27s. Est. remaining time: 00:00:00:24." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 24.42s. Est. remaining time: 00:00:00:16." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 32.57s. Est. remaining time: 00:00:00:08." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 40.70s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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u7sjIyKh7npmZCXd39/uOS05OhhDCZB/Lli3Tewx8bXx9fH2m9zDl6zPlaxNC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\nu5ZaV0aNkicuKbRqRZ8F//pX81pICgp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"text": [ "" ] } ], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m)\n", " \n", "ax.plot(times, array(result.measurement).mean(axis=0), 'k', lw=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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dde9XxPzGl1f4mSfDXqU/YXWym4aQfo+9kyRgGO1AbiEuYJQNTfrZbHlpSTfi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\nbMB2fbFxSZF+dyC3ZIBlV7B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W+zHimMj3CUZTfFvQmsgnZ6kXVbjg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\nj9RaaJair4l3eE3Lpvw7xQZjWQ/kpvPww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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Solve problem again, this time with a specified noise (from previous run)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "result = smesolve(H, rho0, times, [], c_ops, e_ops, ntraj=5, nsubsteps=100,\n", " method='heterodyne', store_measurement=True, noise=result.noise)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "smesolve\n", "smesolve_generic\n", "Completed: 0.0%. Elapsed time: 0.00s. Est. remaining time: 00:00:00:00.\n", "Completed: 20.0%. Elapsed time: 8.09s. Est. remaining time: 00:00:00:32." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 40.0%. Elapsed time: 16.20s. Est. remaining time: 00:00:00:24." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 60.0%. Elapsed time: 24.31s. Est. remaining time: 00:00:00:16." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Completed: 80.0%. Elapsed time: 32.43s. Est. remaining time: 00:00:00:08." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Elapsed time: 40.54s" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_expectation_values([result, result_ref]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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u7sjIyKh7npmZCXd39/uOS05OhhDCZB/Lli3Tewx8bXx9fH2m9zDl6zPlaxNC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\nu5ZaV0aNkicuKbRqRZ8F//pX81pICgp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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "for m in result.measurement:\n", " ax.plot(times, m)\n", " \n", "ax.plot(times, array(result.measurement).mean(axis=0), 'k', lw=5);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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dde9XxPzGl1f4mSfDXqU/YXWym4aQfo+9kyRgGO1AbiEuYJQNTfrZbHlpSTfi\n7wvmRkoxsYPFWU630k9CHOG0kwu00mdr2TtJgorWhiv93N7ZHOK0mg5IF0IwhqqlzCttT6PTC/3v\nXvMOAA7au0jq+4j8NaRTwTQTrfSHZO8cekbghKDK+rjtGzZrwyAlZmRgi9GE2oyaSCVx07d9P+ln\n9g4x3LznZk6snejdQaOhfe84ppmWiEM6BJXgzDhtpS9HKP3sARqn9J9xXX780CHCuZDDP314854+\n4EfR2OKspaZJCUHrIb2UnFqu6WjkJuwdFanNe/oPPQRf+lL7xyAJqIddy9mtJZr0U1LLvoMgCWgk\nSW+vljFKXwQCpUzsQowM9diE0F/fzAy8S/0u7lce1fvZoqe/LumPyN5pK/0wJf0hnv7BlZjJxBpQ\n+gP2jjcikBvH+i2gFK3mKnaoa2EG7J1XvpLzx5/k5/7q5zrnpRRTO1Cc9UL9haGeviM7pO+YDgmw\nO7V3LmTNA036q8hhnn5u72wOkZQ4ph5S2TSJMIcr/fTCZqTvxi4Vp9JRNL5PvLYfEdYQZlmTfqr0\n+wO5x85IiiGIVOm37Z1U6YdIihg4yfBURdCkD9DKSL+PMO65/x7+hD/h7m/fzWxhlhW/70luNHSd\ne5qymSn9ZkNRkgmFttI3SEbkmW9kAfflOOY5z0O4AtES+L4mqw1n7wBeHI8M5JqOyblViyIS77E6\n9rSB3L0fdu/ecJ6+UqoTH9iM0v+zP+sh/TAJiUTUDtQmawmFA11Kv3aSl0y/RJN+X3A6UmpkIDep\nJdiWh+GYbU8/i0MC7HEarJ6tYxnWlglgLOkrNdLeyQLJQdBiZWoK4pi3fumtnGvqLqOxjDmwGjOR\nGIRJqK+5UJgVc8DeUe4YpW/bqIkJpNvECi2sskUkIm3vrIT6GXr5y/HmTnJ09Wh76AO9d7YhkKuU\n4tYP3oqXBAN5+o5w2skFmb1TMU2Kaewwg1CKTw3JNurHWhwjwpVee0cKSnYpV/qbRdSt9C2LeATp\nZwoqy+BxI5eqU+0omiAgXNmHSupIs4RpaaU/LJB7+rwm/SRNi+upyK1WiQ1J2TBxktHNzJphSvro\nfXeT/vve9z7e+cF3cg/38If3/yHPfeS5nqwSQJP+7t0deydV+q2FhNiyKDna08cyEKOUfkpa4+yd\nQErWkoRWI0YGksCVTExsUun3qeIMGVG/sGgxQ0R8wmPqhhh54Dq9jusG7Z1sP4ZhbNzTj2Nd9du1\n84zs60Ef7Br1AAAgAElEQVQdpRRJLem1d2onufWqW/ETn2bfOcVjArnJmib9mqihUqWfuRMAE7KB\naNSZKc1smQDGBnKjSBN99rYZovTD0OP2u+9m1TT52vGvMdfQq1zFXourahETsUEows5LtmgOpGzi\njQjkpmmWqlphn6oiA51a27Z35uuwaxccOIC5sNRzLSKlKKfiLpFyW/rpL7qLuLFLIJIepR+KEFvY\nPfaOwMAxTaZsu8fXPxuG/G/PPkttnZWK1pIEGS6jjF6lX7JLudLfLLJALug3cYw11tPPlL4Xe1QL\n1R6l7y3uB9FEWmVMS4709OcWBaUA4lJq70zp1sqq5SLLZYKvfY73n/0Mrff8AadHVGm2ohZlu4yX\nkX6XavyDP/iDnm2P3neUc8t9fd2bzQ7pdyl9bzEhLNiUTF2RqywTOWKhi2AD9k62zXw9nbq7gsnJ\nTXj6k5P4Qgx9+WWB3NMLJmUkzq2TWKKJ2ndQL+m3QXsn8/OBjSv9v/97vXJ3Vz5hm/TDOsLVNRrW\nlPaslVKcqp3ilj23DFf6Y+ydpJZgGy4N1UQEg0q/IhqoVoPZ8uzOKv1uaweGevph6FKvVnGVoh7U\n29fEPjsPQDU2iESkr7ljYBb6lL7joLrsnWJRf39Sdk46qZQ4YEwhfYldtjv2znwDrroK9u3DXlru\nsboiKSkYBkXT1GKlW+mPqMiNpaQ55kZ9of5Cum/R4+lHIsJOOqTvZKRvGExbVk8GTyNJUMCDWYxt\nBNaSGOI1JJ36kUQmlO1yrvQ3i/5AboI19CL2e/r99o70fBJvglKsiJSF5QhN+n3ZO1LC+TWt9INU\nqZlFvcpW0lD8t69/HfmB9/K8P0fw4Df5xde9bqgH2IyavGTmJfgGWEKw1vW75SHpFydODPH09+xB\nRREtIZhIlb6/lBAXu0jfNhDr2DvrKX2A87Ve0t9w9s7+/TrbicFMpiyQe/JsWtl8xzSG10BedXWH\n9CO1vtIPdeYOsHFP/5574LbbRir9ZC3BnrXbFb4L7gIVp8JV1avwYp9mX2uJcYHcZC3BokVkCaIg\nzWXvIv1y3MBwm0wXp3c2kNtt7cAIpe8T2zYBOpupTfpndCfcaqRtsCyGYhSMXk9/dhZ8v92GwT/m\ndTJ40ulNUi6yj6ouoqtaneydBRf27IH9+3GWV3tegLFSFEyzsyLdBpT+Z5eWePORwYJMpRTnP36e\n0/XTgCb9HqWf9Cp9yyxgojANQyv9rps/+/+/r9cHjtONtSSBaA1p9GbvlJ3ywIteKsWvDhn3xcSl\nRfqpAgCt9JNRSl8OUfpOqvQnJ1GeVgvlqEorUZi2agdyuz39kyehOC0pBeB21SZXX1nFbe7h3/7h\nH/Yc94Xjx3n44YcHxtMMm1w/cz2eabC/2WRtne6jNa+v6jC1d1zTpGyaWOnfhysJSalD+lgGYoTS\n30ggN1Ovy/WUHH0x0t4586dnaDzWpXiCAPbvpz277yPFLJB78gWDEBPr9mnMVg21e397gQwn9tYl\n/awwCzao9JXSpP8v/kWP0s8ClPVQk74zq/svqVBxcu0kL515KWW7jJtEJEoRdT2Y6yp92SCyE+JA\ni4826Ychjoww/BYzpZmdDeR2Z+7AUE8/DF0i2yYQelWnjPQLc+cIihaVWOext7Olin1Kf3YWI9BK\nX0nFY698jF3FRF/mNPgalRz2qkqP0renbcSS11b6haW1XnunS+kHUm7I068lSXtVvW6IhuDIrx7p\nUfr9nr6d2G1P37JKWGnzxGnbHlD6VdPkW7UaIugVG299Kxw5ou3N+Ktfg/eeJ3nzb/DFL34R6LJ3\n+l70nhD8l/n5CwoY7xQuKdKP074ZkHr6hj3W028r/cjl1NEKoZto0vf1zV0KK3iJxHRUx97pyt45\nfBh2HxAUImh2VfpP3D5By93P6lq3Ztd46KGHBj5rRS2un74e3zA50GyyZo6/rDV/COnv2kXDcdrW\nDkC0kiArTof0bXPkOqaBlDr4vQGlv9pMycgfbe/UHqix9JmuopogaC8faTG4UHwWyD11Cg7ZuzBu\nm8IMGsiJdDmpqSnKcWNdeydrwQBszNM/ckSP7Ud/dMNK/2TtJC+bfRklu0RDpG2GuwhlbCB3LcFW\nDUI7IUlTNtukn9oCtu9qT3+IvSM8gXdkY751HOtdtr+fv/gL3cQMBu2druUSW1GLkl0iiAOUaeKl\nz1B2TYpzC5w9OEU5UqOVfhjCzEyb9OOVGBUprirEPUo/KNnsUWWEL7ArNrGM9ZKjtUiT/v79lFbq\nvfZO+pwXDUOLlSwoMmZhdE9Kjvn+AHnKQKJixemaVvqxlNjpCyXL3rFEpx+UbRUxUxu2fyGVepLw\nEzMzHGq1ePglD/csKvP447pv4P0PPYT4oz+CZQmnTvOGN7yB06dPd+ydvu88CxTHOekPR08g1zRR\nhjP0wen39N3YZXGuSm1JK30jnZIW/SJuIjAdOTSQe/gwTO+TlHxoWp3Pq7dVaCUvGTrGqampgc8y\neyewLK72vDbpJyM8yFqrj/SbTdizh4Ztt4O4oAlGVbuUvj1a6Qdpwct6nv6MbVNr6AfQCEbbOypS\nrH2j66UXhqj9+wlMk2nb7nm5qLTHrFAG587BJ299JaLsYIgQReqbpaS/7Ur/S1+Cn/7pgR4B3Z5+\nvBZr0i+lpJ8q/ZJdoinSGVLXRYhTC6t/NgNa6TuiTmgLRNTn6aek74T+yEDu6tdWOfZ/HgPAHeOr\nSam/l5kZaGuPv/xLnZoKY+0dN3LZP7EfP07FUVrEmF2T8tkFzl07QzmSvUq/YHZ6E6X2Tpv0F/S+\nrrHq2nZPlb5XtNgti0hP4lQc7elPWohGrO2d3bspND1UPMLTT+2dxyYmiLIXV1cgtfFYg9o3a3hC\n4ErJ+f4FikIJEl6oaaUfK9mbpy9CzKSzmptpFrHSBZGmbIvF0O0cSwiuLhZ5RalCvBj33Htpxwn+\ncEgr4/e85z3t7J1+keql38lmKuV3GpcU6XcHcosmGFa5ve5k73a9xVle7CHDKl4jhqkpjNDn4EFw\n/CJuLDALxtBA7uHDMLlbUnYNGl1XYuImkxXj+qFjrHSrK0AqiRd7XDd9HYFlciAIWEvVejiC4WrN\n4fZOo1DoUfqikWBM9ZJ+z5J2XQilZKqPjPsRSMnN5TLNVOkb4Wh75+knJc1DLeJa+gAGAcHVV1OQ\nkpJp9rxcsiDu3Bzs26cFaJKAKQKk0uejpqaYZH3S71b6G/L05+bg5pt1lLFP6RsYvUq/ZCJDyYm1\nE7x09qWUnTJu2ro56roI2bkN8/Xj1RhbNgidBNGVvdNN+oXQZ7Y0PJArWoKknvBkq8X/+OSTI08r\ns7l37+6yeA4d6rwBxtg7rajF/on9eOlLJzuPjPQr55ZYuG4XpUiuq/TNQGfvRC/oOMEe0+9R+l4B\nZhMH6UucqtNW+qIptNK3LILpCtONDln3ePppIPfN+/fznVZrIJi78qUVlj+/3FbMx/oCvVk21tzK\nHBOFibbS787Tt5KO0jctByO1d2qtc3zo0Mfb+6onCdOWxU+Up3r2nX0frRZ8+/7Bivq/+Zu/GW3v\nbMB2fbFxSZF+dyC3ZIBlV7B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W+zHimMj3CUZTfFvQmsgnZ6kXVbjg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\n", "text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software version" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python3.3.1 (default, Apr 17 2013, 22:30:32) \n", "[GCC 4.7.3]
QuTiP2.3.0.dev-6fe28dc
OSposix [linux]
SciPy0.13.0.dev-7c6d92e
IPython1.0.0-dev
matplotlib1.4.x
Numpy1.8.0.dev-b307a8a
Cython0.19.1
Wed Jul 31 13:31:13 2013 JST
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 50, "text": [ "" ] } ], "prompt_number": 50 } ], "metadata": {} } ] }