{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Drift detection and characterization\n", "\n", "This tutorial shows how to implement drift detection, and a limited characterization, on time-stamped data. This data can be from almost any quantum circuit based experiment on one or more qubits, as long as the data is taken using a suitable time-ordering of the experiments, and the data is recorded as a time series. For example, possible experiments include suitably time-ordered GST, RPE, Ramsey or RB experiments.\n", "\n", "This notebook is an introduction to these tools, and it will be either augmented with further notebooks, or updated to be more comprehensive, at a later date." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "from __future__ import print_function\n", "\n", "# Importing the drift module is essential\n", "from pygsti.extras import drift\n", "\n", "# Importing all of pyGSTi is optional, but often useful.\n", "import pygsti" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## A quick overview\n", "We now give a quick overview of the drift detection and characterization methods in the `drift` module. Further details are given later in this tutorial. As we demonstrate below, the analysis can be implemented with only two steps:\n", "\n", "1. Import some timestamped data, into a `pyGSTi` dataset.\n", "2. Pass this data to a single analysis function, `drift.do_basic_drift_characterization()`.\n", "\n", "Here we demonstrate this with time series GST data, on the $G_i$, $G_x$, $G_y$ gateset, generated from a simulation (the code required to run these simulations is not currently available in `pyGSTi`). In this simulation the $G_i$ gate has low-frequency drift, the $G_x$ has high-frequency drift, and the $G_y$ gate is drift-free (where \"low\" and \"high\" frequency are with respect to the sample rate). More details on the input data format are given later." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading tutorial_files/timeseries_data.txt: 100%\n" ] } ], "source": [ "ds = pygsti.io.load_tddataset(\"tutorial_files/timeseries_data.txt\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# This takes 5 - 10 minutes, but can be sped up a lot with more user input (see below)\n", "results_gst = drift.do_basic_drift_characterization(ds)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Thats it! **\n", "\n", "Everything has been calculated, and we can now look at the results. \n", "\n", "** Is there any detectable drift? **\n", "\n", "One useful result is printed below: a yes/no outcome for whether or not drift is detected. This is calculated using multiple statistical tests on the data at a specified global confidence level (which defaults to 0.95 when no user-specified value is passed to `drift.do_basic_drift_characterization`). That is, here there is a probability of at most 0.05 that this function will report drift when there is none." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Statistical tests set at a global confidence level of: 0.95\n", "Result: The 'no drift' hypothesis *is* rejected.\n" ] } ], "source": [ "results_gst.any_drift_detect()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** We can plot power spectra **\n", "\n", "These spectra *should* be flat - up to statistical flucations, due to finite-sampling noise, around the mean noise level - if there is no drift. There are a range of power spectra that we can plot, but the most useful for an overview of the data is the \"global power spectrum\", obtained from averaging power spectra calculated from the individual data for each of the different gate sequences (again, details on exactly what this is are given later). This is plotted below. If there are peaks above the significance threshold, this power spectra provides statistically significant evidence of drift." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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X0aBBA0JDQxk0aBDz5s3LVW7Dhg106dIFgM6dO/stk59t27bRrVs3oqOjadmy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\n+P9Sp94oZVklxgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_gst.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** We can extract the drift frequencies **\n", "\n", "If we have detected drift, we would probably likely like to know the frequencies of the drift. This information can be extracted from the results object as shown below. All frequencies will be in Hz if the timestamps have been provided in seconds (again, details later). Note that these are the frequencies in the drifting outcome probabilities -- they are *not* directly the frequencies of drift in, say, a Hamiltonian parameter. However, they are closely related to those frequencies." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.001 0.003 0.005 0.008 0.011 0.016 0.2 ]\n" ] } ], "source": [ "print(results_gst.global_drift_frequencies)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Is there drift for a particular sequence? **\n", "\n", "There are individual power spectra for all of the sequences. E.g., if we are interested in whether the $G_xG_i^{128}G_y$ sequence shows signs of drift, we can plot the power spectrum:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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yZAhffPEFTZs2ZdCgQbz88ssMGzaMdKdAFi1aRHh4OMuWLSM3N5dWrVoBcPvt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The gatestring we are interested\n", "gstr = pygsti.objects.GateString(None,'Gx(Gi)^128Gy') \n", "# We hand the gatestring to the plotting function\n", "results_gst.plot_power_spectrum(sequence=gstr,loc='upper right')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Box-plots for GST data **\n", "\n", "If the data is from GST experiments, or anything with a GST-like structure of germs and fudicials, we can create a box-plot which shows the maximum power in the spectrum for each sequence. This maximum power is a reasonable proxy for comparing how \"drifty\" the data from the different sequences appears to be. But note that the maximum power should *not* be used to directly compare the level of drift in two different datasets with different parameters, particularly if the number of timestamps is different - because this maximum power will increase with more data, for a fixed level of drift. More on this at a later date.\n", "\n", "In the plot below we see that the amount of drift appears to be increasing with sequence length, as would be expected with gate drift. Without performing a detailed analysis, by eye it is clear that the $G_i$ gate is the most drifty, that the $G_x$ gate has some drift, and that the data looks consistent with a drift-free $G_y$ gate." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# This box constructs some GST objects, needed to create any sort of boxplot with GST data\n", "from pygsti.construction import std1Q_XYI # The gateset used with the GST data we imported\n", "\n", "# This manually specifies the germ and fiducial structure for the imported data.\n", "fiducial_strs = ['{}','Gx','Gy','GxGx','GxGxGx','GyGyGy']\n", "germ_strs = ['Gi','Gx','Gy','GxGy','GxGyGi','GxGiGy','GxGiGi','GyGiGi','GxGxGiGy','GxGyGyGi','GxGxGyGxGyGy']\n", "log2maxL = 9 # log2 of the maximum germ power\n", "\n", "# Below we use the maxlength, germ and fuducial lists to create the GST structures needed for box plots.\n", "fiducials = [pygsti.objects.GateString(None,fs) for fs in fiducial_strs]\n", "germs = [pygsti.objects.GateString(None,gs) for gs in germ_strs]\n", "max_lengths = [2**i for i in range(0,log2maxL)]\n", "gssList = pygsti.construction.make_lsgst_structs(std1Q_XYI.gates, fiducials, fiducials, germs, max_lengths) " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "
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\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a workspace to show the boxplot\n", "w = pygsti.report.Workspace()\n", "w.init_notebook_mode(connected=False, autodisplay=True) " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/enielse/research/pyGSTi/packages/pygsti/report/workspaceplots.py:1706: UserWarning:\n", "\n", "No dataset specified: using DOF-per-element == 1\n", "\n" ] }, { "data": { "text/html": [ "
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\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a boxplot of the maximum power in the power spectra for each sequence.\n", "w.ColorBoxPlot('driftpwr', gssList[-1], None, None, driftresults = results_gst)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Constructing estimates of the drifting probabilities **\n", "\n", "The analysis creates estimates of the time-dependent probability, $p(t)$, to obtain a given outcome, for each sequence. Below, we will explain how to access and plot all of these estimates. Here, we demonstrate how to plot the estimated $p(t)$ that the analysis concludes is \"the most drifty\" (the $p(t)$ where the estimated drift has the highest power). Obviously, the more this function oscillates, the more drifty the data for this sequence appears to be." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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1PK0Zu5znxhpH49V3r/rZmrGmrbfF6//bcqyJdf+WXi+onJNo/+slP8br89pa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\nASwGFc9Xv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_gst.plot_most_drifty_probability(plot_data=True)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "It can also be informative to display multiple reconstructions on a single plot. Below we plot the reconstructions for the $G_i$ and $G_x$ germs, both with varying germ power and fixed fudicials." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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5c2ejD+bDhg1jwoQJGIZRx4MTCASYOnXqCWn8nUw01P9NcSKcn82bN3PppZcy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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pick a list of sequence labels (here gatestrings) or indices to plot the estimated p(t) for\n", "gstrs = [pygsti.objects.GateString(None,'Gx(Gi)^'+str(2**l)+'Gy') for l in range(4,10)]\n", "# Hand this list to the plotting function\n", "results_gst.plot_multi_estimated_probabilities(gstrs,loc='upper right')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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WFrJ69WrKysoc73ey+W233UZSUhJ5eXlMmjSpjozzzjuPTZs2sX37doqLi1m/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\neUb03xyfAjwg5MxGfjXDEGbrdcMwz7Ag45TzeJDBX9GFIaQ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OsxQrJ48HnvNMyT5+OTwQ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ugGcF7vUhTkZPAg6Pfhqkn9sOa7o9h5qAUn5+fgTAsPVtQ0oSaawsxB3ZAfDuCNiirk+X2Y29vC\ng7YkVhxqRs+yXMwZciJeXX8QDVEaD5Z+fwwpzcDPJ/TFvmNtWLu7DifkBDC1N40Ho04qw6CexXhu\n5V74AFxg4UGrouItAg8+/fow9h5tw6CiCIZ0pfHg3GHdYRgG3mXwYF9LAmsPt6B/13xMO70b/vnF\nfkRZPNh1FDqAq6f0w5YDjdi0v4HCg/VHWrCnOYEJJ3dC7055+OcXlQj6JJxn2czGg/L8EBae2Qvv\nbalBdUMcw0tzMdDCg+X769GsqFg4qida4ml88nV2PHhu5fdIawbO7VmC4kgQaV3Hy3vqIPskXD2l\nP9bursOO6ib0zw9hjIUHqw814WBbCtNO74rSvBBe3XAQEQvDQ34faqMp/KumCSeWRHDusO54s6IK\nx1qTGNs5H/1KTDx4fW8d4qqOS8b1QXVDDGu+O4auOX5M710GCcC241Fsr49ieJ9SDO9TiqdXmHhw\nQZ9S5IYCiKU1vLHvOCJBGb+YeBJW7DyC3YdbMbAwjOEWHnxS1YgjcQVzhpyIgCzh7c01KPDLmNvH\ntNmB1gTW1Lagb+c8zBx0ApZ8WYmWeBpTTihEd+v69CW7j0E1DFw16SR8U9OMDXvr0T0SwJSeJh5s\nPNqK75riGDugHAO6FuBva/ZTeNCYTOPdAw0oyQ3iojG98eG2Whw4HsWQkggGWXjwXmU9GlIqFozo\ngYSi4cPttSgNyphl4cHupjg2HG3FqScUYtJpXfDC6r1IpnWc3aMEnXIzeCBZ/GDD3npsPdiIvnkh\njO9u2uyL2mbsb01i8mld0LUojJfXmXgwv6+J4UfjCj6uakTXojDOG9EDb2+qxuFmGg/e3Hcc0bSG\nn43pjaPNCaz89ig6h/yY0bsMulqHLicWIqZqiAT9yMvx43hrEgaA4pDfvLncABpTafgkCWX5IbQl\n00goGsKyD7nWltJWRYWiGyiMBCBLEhpjCmRJQlHQD0kyj3K0KhpCfh8KI0E0RlNQdQMFARlB2YdU\nKonzL5gCAJB9PkyaOhXDRo3F4sV3wC/7EAgE8OAjj6H7yT0weuwYnH/+JIw7awruuOc++HwSevcq\nhoFm+Pw+FHXLR2leCDmRAMJFOeh8QgF8UiGCQRlzLpiLt955BfPmTUC//v0xZPgI5JdG0KtXMSQU\nY/TY0Zg3fyKmTJuBRx55GLf+/m78z9UXQjIMBAIBPPro4xg1aTTmnn8BFi6citKycgwePgy5hSH0\n7mXaLJrWUFmzF3Pnz8ell8xBIqXg2t/ciHnzpsEnmVv2J0yegr1VOzF52ljc/0Az5s2fiMeeeAoT\nxozF8uWrMHXWLOR3yUNJbgiarqMlkUZAMm8V7dG9CLlFhcjvMhqLfn4ZLrlkNlRNx0U//wWmzxiH\nQzVVCARl5Hcxb5Ytz89BNJlGXNHwza4qXPurn0GSfJD9fvzh4cdwYu9i9Ox7Jm6+8y6qrw898hhG\nThqN+QsXYuHCqSguLcPg4cNQUJSD/v064Y477sBFF81C567dcMaggcgvysHgsUNx+11345rFF8Ew\ndPj8Adzz4CPo0rMIcjAKn9+Hgi55KA75UVISRiCoYfC4Ybj+lltx5ZULAMmHU08/A888+wL++Mc/\n4JrFF0HVdMgBPx59/An06FOCprg1tkJ+SACmTJ2KXQe+xtSpU1EQDuDFN5fh97fdghdffBrlZeXI\nzc3Fb+/5Iz5d8y4Ki3Jx5TWXoyWewvwZk1B1cDsmTjwLr765AlNmzkS3XsUIBXyob0tBsuaAT5Kg\nGgaaUyr8PgkleSH8a+VqvPfemzj1tIH46cKpAICb77gLvfr1x9WXXgjAfH/k/AUX4OKLz4ME4C9P\nPI5fXfM/0NJp9O3bB/c/9gzyC/NQFMxcvNiQTKM5HsLylZdj3Z46bKtqwkl5IVwzC+0qHXUAwwDE\neWLgcwDXZvuy9W6KpwBMBXAIwGZJkt4zDOM75nP5MC+X2dgeoexNrAHr3UlB6yA4eSZCtX4O+iXn\nelnNoA+KA0BA9jkHyTUD1rXYsvN9+5ldh0qcH0kzn7HbsAUU1qFozjkA+5C/7DP3YNvnGcjD//Zt\niKacEtcGK4NzKF7jdRGQfY6uNCNz1suuI0jUoemao09Sl2QbtJyG08eATOvbrMPqB1MHeSEDZTO7\nDuJsh0q0QR60TRs6wpB5XVg2Sxt8GwHinSqakTnr5VaHLaduXYJiH1anbGLrQiNtJtCFIbaZqovH\nllifvJyKpjvnbTK6ovVNjouMnBJh08zZzzRThz0+yBs6xXbPnPVKG5nnPklyzqTZR3rSrC7seaaL\nbZaZy5k99652t/pqGAZThz3PwOFBkMED+xyh3Wf79sSMPh0xCTkkaHrGZs5cNTLPbTkTac25hMi+\nuMkvm2cISJtk2tCd75JycpjDyEmeHyVtQmGfdR5EJTDH/j+l6k4drpgjwgOX8cvWYes17WZ3AnNs\nPCDrsG8O1GFfpiQTeMLKKRi/sgTDyMxle/yy8ywo0+NTM8wLRyTrDAvZV64NFhud8ZuxqZs+7Qui\nzDpIOfk27DrSWmZsua1naTfModZMI3sdAgzn1lXrYqnM2JKsVwKYZ9LsYyxpN5sJ1nYSt7JhuINb\nJB7YN07KLG5l5wfkWVta3xamkHhAzDP7qnbVY64m07rzWVIGSZIIbPSyWebslSs2CvUprsO2v71e\n2uebbP7APXcurMgU+2cJxE2ixCeco2L2e9wkifpENJpEQ9J8g2R5fg5SaQ2tyTSmTJ2GQuuMZjSt\nIanpeOHFJQgHZdRZjuqxOjNz1KNHL6xY/5XTxpPPvYBEWoMBoGfPXvjqq+1oTql46c13UJIbhAGg\nyXJU7fL8319CLK055y3PPW8BZs87z3FUDZgk/br/vRl/uPtOxFMqoinVeb+irYtdO7/Bk888g8ce\nfwzHLWeCfH7JFVfhH88+hbmzZ+DTNeuQUjVELNu8/vpruPF39zg6z+gT2LXbDIrHrQl1zXXX4+ab\nbkR9Wwq6hRc9e/bC5s3b0JhSHVvZdZw1eSrOmTkDQMZpt29/PWf+Apw7fwGKLKdH0XS0pjXccNOt\nuOv3v0NzTMED9/7Bsdrixb/Cwl/80rJZCClVR2sijbnzFuCSn/4UABBTNSRUHZIE9OrVCyvXf+Vc\nCHT99b+BZhhoSqlYeNEiXH3V5U5wwQCwYMEFWLDgAjQrKlTdQLF1oR6lSAm4/Kr/weNPPIZpU01H\nrEuXbnjqby8iPyAjZM2L+qT55tvFV12OhKJBlmV8vPILFFhj6603X8fNd95j6ptuRTh+R40ei+rG\nGCKyDxErCNKUUqEZBjZu2QZNN9AcV5x3pQLAwNMH4cNVXzqBloa2FLUWEccpAYjnslfp6Gsg3gEw\n3+XZeQA+8Pj+CAD7DMOoNAxDAfAagLmCz/0BwIMAku2Syuqv20JkL8o+blHOHJQlF0x7IQJALEQu\nizIJnIaYjInaADILkX3bmENQGCJlL0RUHV4Lkey+ENGLcob8ZhYinfquQ7YECxHZH9VtUf4BCxG3\nKHvUQS2IKkNQshApEflVRY4VS6B1FxmIOmx1UMSUeMeO/c4tnkBLVBu0Pn3Oy7o1+1Idqg7GwXPk\n5Em8LaejCxfClzWAAXYOuJBGjzqcIIgrSXeacCXQ9qUOIocFABTrQgZ7PvmsF9qKSXhGn7J11bNh\nfZd9Tv6vugQXMgEMAR5wwRq3cUEEQVhdsI6VYOyRehXPVbHdOWeCcc44mwnbEDksGUrnRqBtkq5b\nl1fYzzKBKxEeMA6zh6PqqgsKw8X6tP+3L+YhMZzEJDdnlw82ZnOsOj5Xgy7zjHes+GCjSs0zQbDR\nwU4x5lBy+DM2U7OMT0efDB60G7faExxz8ECn6vI7gVdinjlyZjDFfNl2Jtgo7IdzO3H2wJVuGBwe\ncDbTmHGRxWY/NPAqmgNU4JWow7ncwnHwrL9bn7A/Z//d5rTkfRMZgpz5HAzvOsiLTQzruSRlniMz\nPDN1sHIazHNWTmRKpg7mwhCmEdZxctowQP2ddM6cNgwDVQcqcVK/fs5zshgwcPqgwRgzfgI0TSP0\nad5qOWfOOejT9ySnD+zFJnYdor7a+nTVFWh928+y64r+X1RYfbJjq936BC8IWYcouHDGoMEYPXa8\ng7ekPrP1w36uKApmzj4HfU7qx+nCc+wROvDWp5FVjszgo+cyGWz0Kp4ZQEmSyGTixwD+JElSL5jO\nYB2ATgD+H3lvHq9HUeWNf6u7n+e5W0JIICRAwhoSAgESIBsSEBBQFlcWAQVncPuo87qMsogLzqgz\njsuMuDuvM6O4IAqKuwMMKCKKguKugOwqSW5uknvvs3V3vX9UV9U5p6qfe3HUd97fr+fjkHu7b1X1\nOVVn+X5PVT8TwCEAXjdDc3sBoIW5jwBYJ/pbA2CJ1vorSqnXzjQ+wAsqCKQiTkSpiCNScUcUY71m\n64isbmKOSCZ4feGUZbIxkPVSZkI41ks65QGOSLKh9axXlZBIRySTzD+BU7a/r3XKLJAKA/1e7lmv\n2oCvhg21i5QGptIpS8S/LkFkrBcFFwjrZdmiwClbnUTYD6qzXA9AoK3O8roAhQbhxgjFgt9SU9ar\nZp1V7xGyoX7+uqCxCHXWhmcm/tggnQIYkqn060zKKjSclvWKrUXKes00f+Uz1tEWGLAGrM6sLHQ8\nILQJHrMHAlywrFc9O2f6CNhQts74/A3slktU4wl3lPVKawJsyYYKsCZkQ2OslwDpMoV+gZD1ChJZ\nMk4CCNmxcdZLvKtIhmuTdu1ZL/rMINbrj0tU4za8DmyU8o6zXhw0nQlstPYgBF69zakFF9IEnX5B\nwEap04gsaoDXABio0Xtdwu3aEDqz4EIvLw3Y2JpdfECfyWkM4u7HgdcQbIzZLSNnqtcQbIzZAw42\nSuBVgo2GhzOXD9LNL92rVv/1QTr7Nfu3YZMi94M2eOJE/57+N9oGeZZ+NNy3wdui8bN/V7AI3B7F\nH7Kd9u80+2+QFIk+vv+z3yBNUtcGWSJuPOc//yKkaQqlSvd3zWYT55//PGytGCuT9IjGVZ08w6Re\nypNePGkP79tohcrz1Ze+HiPVXLPvRPUR9BG0AQIMqAFJO9U8Hadv2OsMOOeCC5FVJ4jLNtwJtHZ+\ni/E1m02cde55jg21bWj6grKNmsTfjVOT+1ZngSwqnWkhq+q/3O8OyL7JNZsS0C+D6w0widwpkWev\nBvDpWfUcuZRSCYB3w3xcfqZnXwTgRQCwx5L9AdQ7ojqjF3VEaZ0jijuJOqdsryfCegVOeaAj8ij3\nE3FE9Wzo4PIhgDqiOBvKHBFxygMdURZ3RGGplU8ydV2iOiDxj8lCPkNLQD2SLpxyDZIe6syDCzG9\n5qT0tz5IN2OoL1HyrFdt0KhnSlRJCR0Jfi3rVWrPetUj0GKNZJwNHRSYunetKOrawLT05dqxkq9y\nAMvYFOvMlW9GAj6n9yJcq928DAP9AclETuTpEsAyBBfqqgrq5B21B07m5rMvuUtUa5jfUvu2EGND\nY6wX10k3YNbCwDTUGZm/GBCYCtarjh2Zufy9QK82sQqBKzpOTWzmoISF/l7qLAY25hH7GQUbRR92\nnJINHWjDaysC4uswCjamNWBjnc6kzUlDNvT/BtgoAYxcyiIib9kGfYaBjRJ4tW1EwMZmppAXNOGO\n66QWbIyACwHYmNaBjXGdWbAxAF4F2MgSwJkCU5lYwV/uGXIfsfs17IcP0sH+y/vQrH+bTNBP+bD7\n4u9YP2SIrI/qh0SOM/KecpzWNtLEyo6Hl9TKNsKM2bbFSkDJGplRnrIPcZ+3wZN2LR6QiZOThfZ/\nz/rwXQTyVuJva1mxmjYGzgv7PrXgAh9v3fy1bWiY2DrFIHnTVnz7Lmmn4EKtPLV9lA2CxTGxDD1y\nzSYB3G82Dc3yehTAEvLz3tXv7DUHwKEAbqmEvgjADUqpM+VBMFrrjwD4CADsc9ChGkCF2up6R5Ql\n0KWOOiLqlE0bRn5dGZja+8IRUadsmh/slE0bNY4orcY5yBGliWujjvVifcSYCx1zImEbgxwRHWed\nI1JArSNqplxnRSTA5jqLINBCZ471Ik6Z3o+zXoBdSaWG+4ZknTxjDpXprNTRwNS2QVmvmE7p76lT\nVt/KUTEAACAASURBVExntI8y2kYvAoJwnflvM8bGEdvr1awbp+ijmfk1EqwBqbMISCLXqktUWWBq\n2mWsl66RZyQwDWTh5m9cnv1IYErvW9aL2oNUhQk3bSvo479pD8xeL9GGXQMWHAuSDWV0xpg12YbU\ne408yVr1e72IPVAIWK+Z1gDTqbA53obH7VavsuF1a9mV2GvPhmaJd8Cx/aV+DUiwkei09PfjYKP3\nAwxs1OK+ABsL8vfQELbR6kz6s/pENbSvZqFRQMi+Ewcb4/M3d2MYtM6kLITdmmENxFkvbg9i4ALV\nWQg2RtZAkKiq6Fqtnb8ERLDAq2I6i/gJobMY8BqzjRDAq20jCjaKtWzBxkG2sYRGAhpg1wWm1X3K\nEJoH/BUJ9MkSCYP0usRKBNjuJvnZ96FIy7GkZ1Aiqvj4gzaUf86/nk+KBjFrkM+As15BG/bvdPzv\nSbthMoEZ2uDP2Xss8SfPau0fiO0NpW0P3Bvq2uD3AnBBykIkb+xdyP+PTL1QnrV98Hb5M+S/zv6q\nkA0VbRCx8THE3mMW4AL1NRQcm+maMQHUWj8469Zmvu4EsEwptR9M4ncugPNIX9sB7GZ/VkrdAuBv\nZzoF1F7NNEG33XdGa3K6j4mJDsZ7OQBj1Drkfj8vMT7RxlCWotP3TE+PPLNtZxe7Jil2TPfcfdpH\np5tj63jbKbyRKuT9EoocQjA+Pm1ONKto+kaWVH2YZ3ZM9TAx0cFE19/vtPvOEfXyAuPj02hmqfvY\nrGkjd+MYn+hguAAm3Ti5LKa7ObZta6NNDHyn3UfW8MHFxLY2hhoZ2l0vr1677xzN9skeJhodbG+L\nPqr73V6BbeNtZGniEs5MKfQ7uXNEmyemgV4Lk+1+dJyT7RwTEx1sryKqRqq4zooS4xPTGMoytMkz\nVGcTOzuYSFPsmIrLotPLMT7ehlJwTrnMNZIEjvXauq2N3lADU508qrOd011MTHSwTeiMzq2t26bR\nylIHIvg2rM7aGCuBndO+DTrOdifH+La2c96NNEG3myMlwdq2iTaGGxmmu4V7ptfuO9Zrx2QPE60O\ntndqdNYvMT7eRiNLfEKSKPQqnXXzElsmppH1S6IzxdqYapt1tjOP6ywvNbZVOuu4tch1tn1nFxNp\nhh3TXS+Ljpd3p2fWQJooZ+CU1ij6xvD1C42t420UwwWm2nF5WnuwrcYe9PISW7cZe2A/fOzWQPXM\n1u1dzEVSO7faXaMzz9Ak6PdKKBtUwtuD6WqdNVO+lq3OJjpe3nycZp01ssQxJUaeRmfoFRifaKOV\n63CdVTqb7ph1NlXprGntgU3aB9oD88yEtAdO3l5n1h7YwDNNgH7XvGtRFti8rQ3dLfw4pc6quTXR\n9+swtAfWhsfX2bYdXUwkKXbW2YOusQc2AEmUgi78/hCtgS3bpjGnReyBnb+ZnVtdbsOtzjKvM2sP\nenJuVfLcOtHGSAnsnJK20dy3NrxL7UEnR0YSAWsP2sIeuHU22cNEs4MJacOtLPoFtm2rdFbJILP2\noEoAN09MI+mXtXZrqlpnO4g+uM4i9qDSmU3at1sbPk3mVofa8ALj26aRKuXWmipLlKUHGzePt9Ef\nLpjd4jrrxe1B5m34+LZ2ZcPjOhvf3sFcrUJ7UN3vdAuMb2uzvdH9foGUgA/j49MYaTUw3RHrrHpm\n52Rf2AMu726f2INckzaMztoosHViGs28xGSlMxkrTVfrbDIXOiPgw8S2NubP9XvbbeDpKmdKjaIo\nHUChVHXf3EapNfLqgA8ZvFrWK89LIFEOgFVKVW1U8VTVR06C9LL0pXhaa+RF6fx4dJxFWVUfiHFW\n98tSOzDG/b1g0/KiNCee1rxr4cbp75e0D61RWFm4hJm3kecaSRqRp2vDvEvde5p31dBKs6SdyjPU\nGZdndJzuXQ3rlRcloJVrI4nIsyhKv07BZRHVmZBnXpbICg9+yXfVRGc8//dly3leIk2Uq8aJ6X3G\ncebVOCHkWWWAeaGRovTzAvQ+UJZm7tAks05n4fxU7n6hSgfWKICt5V6/BED2fA24ktk8RC+lVKaU\nOkcpdZVS6pPVf89WSs0mmcwBvBzANwD8AsBntdY/U0q9RSl15hMdi72sMW2kCrvMaTlB7L5oDBs3\nLMWKgxe6+3NGm+5+0kixft0SbNywFFl1ilMjTTB3rOUc0f7LFmDjhqXYc+9d/H3Sxpx5w9iwYQlW\nr9nT3W81Uww1U3cS3eFr9sLGDUsxZ5ch38acljOui/aai40bluKAZbu5+3PGmr6MaKiB9euXYuOG\npa7WoJGo6hnz87KDd8fGDUux+yJzTHgjS7DLWMvd33W3EWzYsBSrDlvk7o+ONjFU1UFrBRx9tJHF\n8FjTt0Hkuec+u2LjhqXYZ79d3f05Y14WQ2NNrF+/FOvXL4E9c6aZKYwSea1ctQgbNyzFrruNOp3M\nI30s2KPS2SFWZwnXWZZg3Voji2YrYzqzz+xzgNHZ3kvjOhudO4QN65dgzVF7BTqzzxy6ek9s3LAU\nc+cJnVX396h0tmz57kxnlvXKhjKsX2fGmVR6zBJlxlk9c8Byo7NFi43OmmmCuaN+XuyyYBgb1i/F\nYUcsdvIeGc4wVN3XAI48em9s3LAUo3PqdGbGud8BC6r7iutspIH1G4zeqc7GiLwOPmQPbNywFLst\ntDqr5lZ1f/7CMWxYvwQrD93D3R8bbbo1pFKFtVZnI42oPJfsNx8bNyzFkupobKmzkbktbNiwFEev\nNQUEaaLQbKQYHsrcM4ccvhgbNyzFLvNH/DjntFwAvfuiOdi4YSkOOnh3J6s5o00HtKRNbw/SZqWz\nVLG5FdiDjOts7q7DWL9+CY6w9iBTGBpKMdxM3cFSa44yOhtz9kBh7ljTJe2L996lsgcL2Nxy9mC4\ngXXrzTi1tAfVOA9cUdmDPcaiOtt1t1GsX78Eqw5b7O6PjjbRIvbA6mx4tCnkadrYW9qDlNuD4coe\nrFu3xAFkzTTB6HDD62yVmVu7LvA6m0dso7MHK/3cmjPqZWHsgZFFQ9qD6pl9DzRza68lVmfKzK3q\n/tgulT04ci93v9lIMdTyc+swaQ8yPn8X7mV0duBBwoZb39TKnA1XWXxuWZ0t2nOOf49Rf3/e/GGs\nX78Uq47wOhsZaaBVgXglgKMrezAyJnVm5sleS3ep7MF8Nk67BoZGzdzaQG14tZ6lPViwcMzdn5U9\nyLw9cDZ82NoDxXzikv0re7DPPH+f6Gx0bgsb1i/FkUfv7e43GimGW5l7xtrwefOH4zrb09jGg1Zw\ne2Dvp80U6yp7kDTiOjvgIGMPFu81N6qzufONDT98tY8PhocyDDVTVzZo7cHo3JZvg+hs0ZIqPjhQ\n2IOqjxazB6ZNaQ8OOnjhYHuwu7EHh65a5ORJbTgShbXrlqLVypAknjlJU3/QRqOZYWys5fyyUkCS\n+PtJmmB0rInR6kRNBRMAJ4kvKRwebmBsrOVATt+HuZ81EoyNtTA0VPUBuBPA7R+MjjYxNtZiTFRK\n+mi2zDgbjdTdT0gbaWbm60jlq+yplwkpfRwZMX0kbpxKyCLF2FgLLSsLVGOwvFTix2kblfIaGrLj\nTMS7Vv6qstnDbpz87wFgdNTIUwU6q2QRjJPLM0kU0xmTV/XQUKUzt6cOlSyoPMdaGBrO3N9TfSii\ns4TqjIyzVems2UyjY0gqWYyONCM6Mw8Nj1RzKyXyTL08s0YliyE/f1MiT6XMmhgba7GyTCovrzO/\nv5COM61iq5GIzmyiOlKNM0ltH1yecm5B8bXeGmmgLLuz+vjlE/oMhFJqIYBvAjgMwAMA/gBgA8z3\n/36slDpZa715UBta668C+Kr43Rtrnj1+NuOyGX0jS5ApvyeiVxjkwzEwaYJEAS2HavlMnCLpqYJz\nIp0K+aOobSPxtfH9KpvvknKuRPn6+bxnjiKWbbBxVpl8j4yT3u8XZbXHSZNxJqy0zL6jRSqbqTkK\nnaKuWoMhmQmAJPV7vSzi659RSJXfvG/HR2UVG6dHIY0cEvhxdqqaxB5BGlOmM9uGZzqVgjueNy99\nCYeVeZaavQ42wLDjp++aEZ3lpUHN6H1FdNbNS3T7RdBGQ/k2epF5kSpywFBRupIHK69mNf/qdNZI\nzaZ7egKiBpFFZaySxPy7X2gzzuGYzuw4dSgLqrNKFlYmdm9oSnTWrtjxbt/rhM8tg4dJnbkTJwvt\nTtyyz2Ri7nQj8pRzS2t+3+1jrVgv2UZT6KwbWYcJHWfpS02s3Jp2ndmS8MgaaVT6MLq264zYHPg1\nUJQF2lLvQp49Oc6seg+xljVdJ8HcKgf24e0WHaedY5U9KHkbmZxbRTh/Y/agIPspvW008mo7e+B1\nRm2OGacmtlHV2wM7jgTCNkbWQGT+Utvp7EFaldjX2QO3zoRtzLg96Bcehafvmijy2aKqjQ6xjc1U\n+DNw25jABBCW9er0S8wd5npPI3Yr0BlZq1r7tWD3kaXwa8D7RK8TY19VpRNhDyof0yLrrCy5LLJE\n2oMZ7FY1zqg9SA3rNbPOQllQfXB7QOcn8Wf9cJ0Ze+D70NKfEXvQzUu0rTzJ3MlUaA9oJUmmlAMb\n+9U4S63dnlkrc6mzDtFJNlMcA/+pJ1Oube7RkzgBUt5W/Z6WgJokj9/3LE91n7ThTqWsK1ms7F60\nBA+0wFO0oUi5oObPJtXf0/JNDc5GuXHYvV7BuyL6rlq0wd5DyC0B7ys8oVNV4+Tjj5Xk2mTCvyuR\nBRmHfUfKirFxVv9PK/H3rr+ILEgSZ9uI6Sxx8vY6c6WT4G34cfo2zHv6Pth7yHfV/m8p+8bftV6e\n7j3Iv13bisqTt5EorlMt34O8L9v7CUTmOJcF1Sm14SaOJyjAgCuZzUPkejeABQDWa63311pv0Frv\nD3OS54Lq/l/8soIwTsIbPReYCqc8yBE1Up6QWEdEnXKW+M3m1vgGThkkABGOyAS/A4I1m6gKRySd\nMj3ExToi5pTVAEdUOQjahnNELpBSzNn1guA3qRIv6/hjTlmxALoTDUBAApAySFRT4uyoI2KBFOg4\nwwC7KZPhWCBFdRYN6MDboOBCliAFD3KkU26KALobccq8jxi4ANaGDEBMIOUTEp8UcRCkSZNMkUjY\nA2DC+evbaBCd2aSd66yaP9UHS60MguC3LjDNzNHzNDAttWYJiwKXV7sq5eqSNUDvuzZEsjwk5h4d\njwUxvCxEMJZye5CLRLWZmj2w9BTErgBBpM7cOivq7EHJ5lWamBP/aNIeAxcawdzSTN6JgnmXjOvd\nriefDHPbSNcRBWJscubvV4AQnVvBu3K7lRchWEPtgbHhIoAWSWQvj8zfRLE1UIo1kABMnra8lOqM\n20bN5ZlKe2DmhbFfVZCeKJacOdvYF+tIBukMuCIgCODARgeOJcIPSH+XmTVKv+nJATiLpA+YW5mc\nWxEQRCk07OdUCNjowLHMAxBUzgx4TUNwga4RaQ8s2BjYpQBsLMh9Hh/Y4LXH1mI92Ni09mAA2JgI\nnQXxgdWZBBvJGmGJagQoTJO4PaDAa4PYnJhPVNYeWLtVjdPGW4kLoGUQbv5rkxW510se4AKRfJk2\nfBDOAn2RvCkxBr+hjJbpyaSmPhE1fdQkobQNEaTbh3zyRoZj/075w2LsZU8lVe4hkXyBJ2fsvkxU\nSbu0hJO+U608qSwi+pB/j1hSQ/rmsrLyFsAAaKJakzCDt8ESbiX60ELepJ3oOKobCZUnTVRJP3IM\nwfwM5q9to/o/mgyDz1/al5GjlFd8/moyUAlczS79e+IJ4NMAXKK1/j79pdb6TgCXATjtCbb3J7ms\noLIKCW0QQQSsl/L/tY6IOuWmRc5k8ECccsaMbxj8KoW4IwoCFMmceaebRRyRdMopUM96ZXWsV4SZ\nCAK+weixTBZaGXdE3CnzJFMGD15nPvg1jogzE6lwRNQpS2ZNsl4W0aeH2YQMIAYiu1miAp0xcCHl\ngVReaBRlyROJRIkkUyRnNSwNS1Srxd4QemeBFNVZTdJuy8aKyBoxgZRH9EPWK2EfvY+i8VACXOBz\nq1kFyLUod5V42aSnL8eZqUjSLnSWqlnJ085Ty3rlZYlCGyPqkPQ6cCFNkBHEPy9lkmmTdjK3IslZ\nItZZLClvNaqkpxD2IKKzjlsDJHljiH/YBmUq6TjpvqIU5JMCsYoBmQBqXoGhAMaMdYV9lTqrY72y\nxH/svZtzEMPZgwHgArVrzk9QNtStMyvP0vXF27BrgLOIgW2swEaWSCSJmL8hSBLzZz0GcPCkx9lw\n14YAMCIAHNOZqBRpEp3Vsl7OHoj5W3CdDQIbJbNm/5YCr4lSaNWBjdY2ItRZUHUwCGwksrBgIwVe\n6+wBZ0NFMowQeOX2IB+os34EXMjY3AqrIxRmp/cAbBRAC7MHld7r2Lc4E6R80qM5i+L+HhHWiyUC\nKgh+WdJDkgWNGEvIE6uACYLsw46VB+k0UbXj5EG6CPQ12XsHmSjUJ6EB0yPHKVivGMs46F0RkSdl\nQyFkwZJMqrMavdP3pX0H84bJA6wNm5gE98nv7RznshA6Q0SeboxCni55I8CBguhDi7/3/wZ88iZP\nIg2TSLD7iOlMvKuUJ10DWUKBbE16HHw90QSwBWBnzb2dAJpPsL0/yWUFIlka64ik0aMGvJ2XAt0L\nSxIBmUzAOaJ+zCkHwZh0dgppgoGOKEmSwBHRMSRAVQoYD0yzKtkIUMKCO8w0GeSIeGJlHVGnlvUK\nA2xlAynXRxiM0fsyALE6k8kZY0NTxRKSkPWyJUgkgBZsaApTShUi/nGd9WI6q+YNZb2CID2pZ72y\nqpacBY0ymdBi/va4ziTKHbBeVSBl935GkyJwnTnWi5Tc0sDAz18yLxIb5FQ66RVhiZJI/Glf9j3Y\n3EJY8kiDmG6ENQgZ1TCQoolRt1+IPjgL48AFcsCFAjDUEMAAkyc/Uj2wB5W82BpAmLDY/XmW9eJs\naNwe0ODX2AMbQEvgqqoISLzOfFUBCUxp4u/sK2VQEDCqjA0VAIazByL5GlSa5uxB5sEFyoamslS1\n5MmwBXzo3ArWCHjSIxkUk1DzxD9MSFQANjI2FNb+KtZ2V+isRdZZYA8g7Gtv5jVQSp0Bzh4EYCPp\nIwQbPRuagPizCMDm7AFZZ4wNtXNL2sY+X+8B2ChZ24g94HOHyLsQNiVTFQtOfAm1B5kKWMaeqxAi\nPg/ShgvgVcuqAp74N4Q9CGxKapPh1MmiKMsAeKVtBOBYBWg2aR8sjqkHG3lSMygwlSV29r4M0lXw\nDAuyFQ2gOWPEkx6fnIVM0uBAn44nlrC45Ey8qx1nUj0Usl6+Dcu7KcQSRH/5PkSSWTWe0D5iiWqs\nDcGGStZLJqKJeA+eQMblxd6V6EOT/7kx2Geq35XQARtKk/KAFSNJpHsP8KTI/S94FyIvqjOIdyXA\ngRunDpNM3ocdr33ZUG6mHNWvId+GlWeYJAJc3hJcSJQH9e3WjdlcTzQBvAPAJUqpUfrL6udLqvt/\n8csKqpmYgK0pHJEMbin6Gxp4fl+yXpllJhre+EpHpJLBgWmzQtulI+KBlK53RJVxzlQSOCLmaAgq\n0HeOSDrlhDki6ZSDfVjgTlkpYCgVjoj2AVtGEpenedfEMz2STarKxpjO8jJ0yghZr47TmdH7UIME\nOcIpz8h6ZVxnsbKxTPGgsZ0XwZ4KKu8YO5dIRlU45TTheu8KtL2ZxvfOMfBAmWBewbNekrFiOhPJ\nRCMxAIVMVCkbqpBUrK0N9On8NUlXJtYZTyaMnK1RM4lsjJlIQtaLMcMJ+w6gCaRCRio+Tt+HY6xk\nyWJimUo6t3QQdDJ7IJh2w4bKfZlcFokyfVHWi7GhgT2Qc0uxuRUrXTelZ0Rn/YKxoXLfpmURmT0A\nWB9lGZZF0rkVlJEKe1BXVs4DaKmzeKm13yNoEhYPgoR92EMbJPvRcwCGtQd1YKNhgrg9KCNs6CB7\nYHWmanVm2CS6BmrsQR3YmHFA04GNIiGP2wMvi5Tag1hypqQ9yAPgNdzjJwAKgIAgMmFRSKCYPGPA\na0LWchRsVIqtxU6/jNscATYy4FUpDDFwTACvwh506uyBABs5G2pByQjYSOZFbYm9BUHIKeBh5YJi\nOmv3chak20A+YL1IsgGEe704oxVnvYKkR7Be80aHcOqm9Th+w1ocuWYN3vGP/8gYFDuGHdu340Mf\n/CAbz6knHsfHoSzTA/8eEEG6TeBcHxoTExP4949+2LeBSIIYSVTf/Y9vxYev+meXtNCxMRaRJKKd\ndhtPfcoJKMsCjz36KG647nPGl/V6eMoJT0ae514npI33ve8qHHzwwXjFC1/g5GmfkX1Ynbh3dvKm\nOvUlpDR5Y+8K/660cf55EA4OlHrw3tC6cSauE3GfyrN62qZFU9NtnHX6KSiLAgrA5scfxyteeBGO\nXnUwjjrqKJx0/LH4+pdvMHsybYJG5nCn28NzTjsZRZF7aSmFPM9xzrOejt122w0//9lPff/KjHPj\n4QfjhA1HY82a1XjShnVunC+8+K+x56JFOH79kZUsNB5++GGcdcapOGH9kTjy8MNw1Xv/JcLa+ndN\nFNAkJfYMDRhwPdEE8DUADgHwsFLqM0qpf1FKfRrAwwBWVvf/4pcViAxAQkdkHCoP+HJRFsmNc8wR\nKcX340QZFOpEIk6ZHxgiy9vC0slOP4L4q5D16uZUFrS0J2Q/5H6cTr8InDJFdkPWS7kxcEdEgniF\najO5SACtLCqr22x4eUpHlClRPtTLA6fMSqUie72ShJQTWrSTlrqKYM0GtX2hsxZz7NwpQ4WsV+iU\nI6wXQ7FpkF4GgZRS4UEyrEQpkeVDYWLlEtEo6+URwID1IoEUC/Qj5W+Z0mzudGjSbgNsgOlMtkEB\nDMt6SYYlVo7VFwmc2y8W26uYKLaOOrlIhlFtsCasl9SZUrGkndsLGlR2c76Hz5bySTReJlbMHkQS\nVV76y3XWSIzMWwSsiZWuc8Q/ZEOpTvulYH6tPSCOiLNelc5AWJgIOAaA2S3JzkmgpdMrgsNsZOlv\nwPARe2BZL17KCr7XSxzMY/fzchaRg0qAkCdZZ5YNjR7QYt+l0llTgo1BxQq3B2xvqJjfAdiYEHtA\nwMbAF5F3kmCj1Rkt15bAawot9sWLfYaij5hNkeCYBBvtZ3zqwEZbOSMPfZKHxFEmsivslrMHAmzk\nzJki/ixSYm/XAAEbY3tD5R7VwB6AggsF7wO8zDQ4WCoN7UEIvELsIyxJ0Onjy1rWCzwxcgmiYHHs\ns7SNICGhfWhgeHgYX//WHfjWHXfirrvuxiWXXMrasGPYuX07PvyhD7IE76s33sIT1UiQz8ZA3oEm\nZ9u2bcN//O+PxNuAZKSUl0k1zhKxvWQkKSKB/jWf/DjOfPozkKYpbvmvm/HTe34ErYFGs4njnvxk\nfOn6z3F5Vv/+6Ic/hG9845t470f+jTFZMpnwB/sYPxuyXvzvuE7sX5rLJmU2udDV/+MHuBgYgcp8\npr2hwd47hWDuMTbUJoFinJ+5+j9w6ulnIstSaK3x3LOfjbUbn4Tv3fML3PmDH+Bf/+MT+N1jj0YZ\nvlIDjUYTx2w6Hl+67nOu/QTA5a/5Xzhw2XJ84QtfwIsueh5+9+ijhL0z//3sl76GH951N751+/fc\n7y+88CJ85atfc3LVGkjTFFf83dvwX3f8EN/+zu34wAc+gF/94ufsPehhTN6GJ1yGM1xPKAHUWv8I\nwDKYD7DvDuApABYC+BCAZVrrHz+R9v5Ul2MAK0fSFI5IJni8vI3vHYHi950jEk45cERik3iacEfE\nSpRs0lPniBIVBAddGpi6ZAK1jsgmRvJQkjgb6h1RwIYmSeiIgqCx3hGlUhYykKrGIR0RC6SETmJO\nOdCZ5k5ZVeydQpz18smbTyakU5Y6k045gTE8NEhnfaAqsRuw1wvgAAYPpBRSpYO9XvQ+lDGqkvXy\nZWVJBYJAjJMHMGyflgwerM4yznqx4EL00e0X4d5QGqTLxD9JHKIfZb3cOPk6o0BLyyaAxB5woEVF\nS+j4XlteWhljflmSWYYMSwp+Il831+wba2nlHeRJjDSxsk6GJhOS1U0V2Z8ngRZbmkaAFrlG5N6k\nbl8m7WCMgAMXCm4PONNTRu5H7IE4DCTUmQCViDxZ0p6FAIYsRW0kqgLHzN9b1ouXrsu5xdnQwB7Y\n5Kwv7ZIEG+n8DeeWPDESGAA2pgkSpUUfXGdQJgEcxHoliQQChX1V8RL7PmNDMQBsVFBBH9zmmLkV\nsl4cmFLBwVJMZzA6a0r7SkA8gANXsdJfWWLPgFehMw+keFlQncX21kkAo9sX21CShI033CKiyFaW\nSie9AuHe0BBs9LJQ7JTPGNiYKsXetZsXLsr3DMsg1ss/JE/YdPeVYBEjzBlty4e8/PcA0J6exkXn\nPAtrj1qDIw4/DDdc9zm87co34P777sOa1avxxssvAwDss8h8TuPBBx7Ek9etxkte+FdYsXw5Lnre\nBfj2LTfjGaeeiBXLD8Kd3zdHXVz43LOw9uijcdiqQ/GJj/0rAJOcXXrZZXjwgd/i1E3rcdklrwMA\nXPPpT+KMkzbhpGPW4iUvfjHyiiV61zvejoNXLMdxmzbhvnt/Y9qgiRWAC84/D+eeey6esukYbDhs\nBb7xta9Vz2l84dprcMaZT8dtt92GS1/7t/jqDV/Ayceuw/3334/TTj8TX7j2Gp6wQOGyV/8NHvjt\nb3HaaU/Dv37gKigo/PN73oPDVq3C+iNX418/+D5oDfz2gQewfvUqvPKlF2P9kUfgkUcedsnu9NQU\nzjzjdBx95GqctPEofPHzPum59jOfxhknbcKm9UfjxS9+MfJq/r3jH96GFcuX46QnH4eXX3whPvje\nf8YDDzyA9Uce4f72Xe96F95y5ZuhAFz32U9j0zEbcOSRa3Dpq16Bsiwq/TyAdatX4XX/62U4du1q\nnHLKKZiebgMAPn31J3DE4YfjqDWr8cqX/DU0gKuv/gQ2HbMBp25aj7/9m5cZhk8kibqS5clPkABd\n6QAAIABJREFUOx1KKdx8881oNpt43gsuduDC3kuW4gUveinu/sEPsPqIw9HpdNGemsKJG47CT376\nE2honHLa6bju2mvc3H/H2/4ec+fOxVve/o845phj8M73fgAvf+FF2LF9O4AYC+7Bh2M3HYv58+ez\ndbTHosVYdfhqKKUwZ84cHHzwwfjdY79za0CDzx1pw2fLAM76MxBKqQaAtQB+q7W+dLZ/95e4DOMZ\n2UNlHZHYR5Bo6Yio0eOBVuCIMn8IQZqYj18Ge71UyHrx+1XZWJ0jSk0ZVKJK5oj89w7NcQ1U4dYR\nUafMgt8Ye2f3bhBHJJ0yVOiIZCClKkfU6Yesl4JlP7wjYiUx1tnVOaJK3lpxRxQe2BBjvbgs0up0\ntl5ecpTbOjuq9zxyYIMSjCoi8tSasV5pwsv4YqxX6JRJkhmUZ4asl2RDlRrAejmdeZ20KfOb+fkr\nWa8+CdJtf+49BBtqdMZZL7k3lB7ME9uLCPhgLC+LivUS8hSsV1GBPony36iie2U40FK9qyaJlSzb\nFfagHwTh1bxJzLOlY7140CiTCV6CVwXp7kCREGhJVYIkKb3OeoXzbGadyf26Zg0EbChNNhCWv4Ey\nlQWfe9IeGLsl2A34+dnNS1NVQGWlwMvbImwowEt/TWLF17sGtweyPD7OesWSWf85FZmcsUOKcglw\nJCyxCsFGYg+cfdVQ4AkLtb9yr5dlrGpZrywEc3p5GbChUDGwUYzDrqPqcyqy4kX6RNuXGWels0HM\nGip7EAEb/d5Qz3oFp/4m1h6Y+Wk/pxKsVWYbOfCaJDYZrtkKUAGvND6IAa+BzgiQ4k+k5mCj9InS\nhgdsaKJCsDFYZxxsrG67GEMRECQAGy24IMBGyYYCHGx0yRuA9Rs/hD/H9cM7Xhowja48s0og2+02\nTt203lV0XXLJpZguNBYuWowv3vAlNNIE9z72ONauXYd7f/UL3H333djZzbG93Xf9aK3xwP334VOf\nuQZrDl+FtWvXovzcZ3Hd127Enbd+E+98xz/ggx//DN77gY9g370Wotvp4KijjsZTTjsTY4v3wNve\n9nb86Mf34Jvf/h52n9PCL3/xC1x37bW47ms3YbjVxFsufTU++5lPY79lK3DdtZ/FXXffjV4/x5Fr\n1uDQw45wSYB5T+Cee+7B0888Ex/596tx0y234q1XXIbnPvvp6HZ7eOjB32LffffF8gP3x5FHHYXX\nvfHvsWLlIVi8yzAWLOrgx3ff5RI/297b3/1efOvmG/HNG29C3hzDT358Fz7+H/+OO+64A5PdHJuO\n2YgnHbsJB+y9B+6/71686/0fwYnHPQkjzRRlBXTdctN/YvHiPfG562/A+HQPvelJKAX84he/wBc/\nb951l5EhXPHaV+K6z34ay1asxLXXmHed7vaw9qijcNgRa1ji7otHgd/8+pf40vWfxzdvvhWjwy28\n8MUvxXXXXoOXXvwCAMB9996Lf/nIv+Gf3/dBvOLi5+PLN3wBKw5ZhX/6h7fjO7d/B/MXLMAvH/wd\nfvOrX+Kzn/0svnnzrZjKgTe97lX41Cc/iQsvvND1V2o4WS7dZx8oAD//2c9wxOrVZj5UY7JM5ZFH\nH4UzzjgDb3zDFdi2YwrPPPscrFx5KLQGlh98CH501w+r9wEuff0bsKPTdzo9cu06fP6r/4ldx1ru\nGaUUzn/2mWhkKS58wcV41vkXstJguP45G/rAAw/g7rvvxtp1a5Ej3BsKZUtNKxveBdSfOgEEUAC4\nGcBTATz2BP7uL3LZIF0l8hQ6WaJkUNM465XA0tLSEckSJWvAnSOiJUqJTYq8I5LlmyaQko6IM0EK\n3BGl2r6rMsgvYo7IO2Ub8FlHZA6S4Qae9kEdUZPcDxyRCDB4uat0yqEjsn3Y4+tpMhw4osppaw3m\niKi87eqp2+vlj+I3Y+rlJS+hs8hvwvd6SacM5VmvvjvhUDhl0ICvQJb4pN0em03nhfzmIeBPOMxL\nXbFeA3Qm2VCrM8Gg0JNGZQDS7YtAXwRS/cKfhkd1Ig//kUAL1Zlk74yz8u/skjOxZ9LOnXa/CFlE\n8a69XL5HVa7NyvTk3jkOtISsl02WeWIlWQVbNm6THllmSu0Bm1vVe0ARFrwU4IINfoneO3npgiOT\nvGmetFdlZXSctFRVHixlS77sHAHCvbYxexAczIPKHlSOiLFemZUnn1v80wqCsZKMampYYU0Tq5zv\n03L2QAAUkg214+gXRcV68cNs6IE3surA2wMBNhb19qDTL9wHmWPgggMbBdDSEGCj3BtKdcLWANGZ\nBBs5iBeyXoNKrfPCMNj8pNzBJczOHtTYHDv3BgFCzh7EwEZrtwTYKJlMkwz7NRLbq6ioPQhKreMl\n9hR4BQaBjQR4JWCjPKCIrTN5CEzig3wKNtqzH4ysdAA20n3arVQcJCPBxszrhMYHWgl2789w+XJD\nuheM9zdUlYDuMtzAWCuD1sD3f/QzvPnyS3HF6y/D6aefjuVHrMX0zh3ub+iYLYuyZJ99sWrVKiRJ\ngpUrV2LdsU+GUgqHHHIoHnzwQQDARz/0fnz9yzcAAB599BH89r77sPeiPQKW8qabbsLdd9+FM048\nFgCQ97oYm7cAm7dsxelnPgMjIyMY1sApTzOH5ZdaO2ao2+1iy+bNeNOb3oSeAg5avgITE9sAAFu3\nbMHcXea5fn7z61/jwIOWu5JalaRoNBuYnJzE3OFdg4TCyvPOO76Lpz/9GRgdHYVqFnjq6Wfijtu/\ngwPOehb2XrIUa45eS/7OSHzFykPwtjddjisuvxTHnHgKjj9uEwDg5ptuwo/vvhtnnHgslFLodzsY\nmjsfE9u24enPeAZGR0bQHBrGU059Gkt0rbxsN7fdegt+8uO7cfwxG6CUwuT0NBYuXOie3Wff/XDI\nqsOhAaxZswYPPfgAxsfH8cxnPxu77bYbSq0xf9f5uP7aa3D3XXfh+GM2oNAa3W4He++5iOlHQ2Pz\nls1GlmQ+2X9pDbz85S/Drd++DVmjgdu+ewfe8MY3Yt3atUgbTVz39ptdeXGapmg2m9i5cyd23WUu\n6YPL3MlTAZ//2o1YtHhPJJ0dOOXkk7HXfgfgxBOOJyPwbdh2pqcmce7ZZ+E973kPdtllLrZO9txD\nPv/zIMmfjQHUWpdKqd8AWDTbv/lLXjSolIg/ZXKAMLGSH1enQaUNQNy33JhDrBwRCx4sM5HEHREL\npHySGRwVDVn2WCCzCWBmg1vudHPhlFXiTzjsRQJTeTphr+Csl51DzeCEOO3GATvOmr1ejqVx8pQl\nY4olVn6vl2bP0ECqLx07QnlKNhTgwQHf72hODpQB9KDEypXU0sNAID95odHIOPIbfI6i9OWArYQk\nzClhveheRaVEqZTQWWUMgjUg2FCafMkk0gbhlPViwVySAMoeiERZL8r0JNBEZwzlTmlgqrzeGdBi\njRphKgW77E7wJPOCnkRq54UPfnWQWClwAKNL2mhmYZLZF2W5zQYPkLt5aZLVgJHiB7TIfYZ0nEFJ\nLS1NczorSAKonD1okHe1+9KsrVIkqfGsFy9tZ8xZHpZvgurMyoKsI8AnVoDY61XZV/k5FcmGMnsQ\nKbEHpG0sw0QhkKdnsL1NqWO9qqQdfA3w/dGRZJgxw6QENPN+IBXMmgQb87IEZUOpPXBgIz0pF4qV\nUvdKUQIKmwxzsJHbDOETi9AnyqSH7Uer7IFNrC3Y2Cs48ErtQb/kds1aLgk2SqBFgo3SHtD9ezxZ\npvGBB0HKiG1MCevVLbhftmsg+NYlreIg9sCsdVq5YEt/PdhI4wMLVgKREnsBjjGGul+ghAcXnD1I\nw/nrtqEov080LzV6RVgpAtJHPy+hq4hRKeB7t78EWaLQ7hfYOtVDlijsMWcIv9/ZQVFqLBhrYShL\nUGpgy2QX/aLEgtEm8kJje6eP0VaGXYYyJEpheyfHzk4fQ42UfVrBXi7ADpKJ6oYCDjxoGb56y3fw\n3VtuxJVveiPWHnMcnnv+Bf5Z8EsDaDabzsYnSYrWUMXYqAR5nuO7t30Lt/7Xzbjt9tsxNjKCY487\nHt1uB/YwHNqu1hoXPO95+JtL34REKSyaO4Qtk1184H3vZQmZ61/7g0l+9fOf4cBlyzA0NIR+N8dP\nfvwjrDx0FTSA1vAQup0OlFJVMrgLGo0GyioZ0Vqj1+1heHjIjYUmOFJmTG7VNTI6yv7Oxir7H7gM\nt333+/j617+Kd771LfjB7Sfg79/yJrN37oIL8KrL34yhLMH80SYe297Bxz70/qi80yx132tVADqd\nDlQ1tuecez7e+ta3oZWl2DLVdesTAFqtlhNWmqbI8xz8MmtSa43zL3gerrjy77Cjk2OslWHucIMl\nw1oDraHhSpbmd4cccgg+9/nrXGtXve/9+PVDj+LkTcdAQWHr1q2YnJxE1mii2+mgHBtChYGg1+1i\neHiIydMy1MHnPwDsuedeKLXGbrvvjtPOeDp+9MMf4KQTnhzMDVuq2u/3cfHzz8Nzn3senvWsZ7lD\nrVwf5G8S8KotpZIEs7hm9RC5Xg/gjUqpVU/w7/7sFw1QbPlFoQXKbZ0yCxo5OmdnbVMEUizIUUax\nHtnN3SlxNrGi6JwNtux9QAYopQikiLOjjkgmqiTgCxKrhKPcAIQj8kFjlEGJBVKO/SDlLoqXMfX6\noVOWDEqnHzpl64gAcEdEAyk3ziLulEXSzpyyZGH6JS8rizATHcIg2onBZQERbFlUttJZJLGi+/MM\nkm4ciT2+HoowKJU83dyyyC+kzujpcDoytyKBFHnXjmCw3dxiAZ/twxs0eXqmZO+4zjQJCBOHfNrA\n1Ja/0TLTRPGDYjo511nqGFWftHfYCbXKtQVEWK+U7EWMsV420Kc6K0sUmrOhzh44ECRnn4kwQEuN\nPci8w23RT0kINtTq3cmikPuOw5Javsc1ZHp4eRtPNqKycEG6ZcF5WRm3B3YN8OA3rX7vZRGyz1an\ndq9XXmj03Brwc4uV2AtZUL3bMmg7zpZli8i7tvvkVMpMeZ254Fd7u5X58CoEWurBRgaOZSZ5k4BQ\nv0pG3N5Q5RN4oLJbBbfhjPXKS6EPaw98kknBxmbsQ++RbRHh3IrYcOKPQrCRH1LUlSW1TmccbLTy\nYMArARspGyq/W9cvSvJ5Bn/gRIuc/lqWvA3pM6VP9DZcuTYs226BV2fDSYl9R6wjukZ6kYRbAQO+\ngWp9DbW/wmcmoc6kbZT2oB2cNC4+kVPQpMdHrbWfTxD/s/fcJwkAF53TBM+Xf7ounF2gwbVro/rv\nH37/GIaGR3D2uefhf73qNfjpPT/CnDlzMLlzZ9AetDyVkrdn7+3csQPz5s3D6MgIfvnLX+IH3/+e\n/XOMjo1hanLSyfLEE0/E9dddhy2bH4fWGuPj43jowQexbuMx+PINX0S73cbOnTvxza9/1cnC9vOz\nn/4EDz/0ELrdLqanp/Huf3grXvSyV0BrjXnzdkVRFOh2OnjggQew5+LFbJxbtmzF/AUL0Gw0mLzs\ni9okc/3GY3DDDV/E9PQ02tNT+PpXbsDaDRvdIS1Uzvbfv//d7zA8PIyzzz0fL37FK3HPj++GgsJJ\nJ52EL15/vXlXAFu2juORhx9yfbTbbeyc3Ikbv2H2MS5cuAe2bN6MbeNb0ev18JWvfAUAcNzxT8ZX\nb/gCHn/8cWhoTGwz7chsXZN/bDz2OFx/3ecxvnUrAGBi2zYcs+l4XH/ddfjDHx53v3uoYnCtfrUG\n5s2bZ2TZ7QIATjjhBHQ7HXziYx+tdKExNTXt3v8lL3kJrnzLW/Dsc87F2698g9PZtnEj80aj4SqN\n7DhtgkaTz6mpaUxNmnk4OTmF/7r5Riw/eKW7T1+31CZWee3fvBQHLV+OV77qVQD4KbVW91TXNN76\nc5SAAsAVABYA+JFS6lEAfwBPRKG1XvsE2/yTXI3MBIvUEVnWSzrlBIg7ImbgvSOyiKxlHJzhpI6I\noZ0RR1RQp2zGbD8lYR0RdcqJ4huwzV4ZuPdIncP0jkgmVuZduSMKnDKEI4o4ZXl0fJ8ygCJZ6OSy\nRMkG+jHEX3n0rXJEeVlU4+SfA6Dy7hY66pSpY8+r/WBKARk9ZY4E+t4p+6SGBqY8qdcuMKWsl2Qv\n+MfNC3TzxLeRcJ3lpdAZc8qVzkSZUyqCtQCNDxLVyHe9EoVUc6aSf9A+YTrLC80CGG9wzM9B2WNi\ndUb74ElmArCSRHnKZ5bYueV10hNJpgIHQWjSTnVmD0OwiVewzxBkDUSYICNPH0B7eStTdg6RWPU9\nGOPKGiHWQCxhEZ9ToWxocOBNv0RiywmzxJUaU2bCzd9M2oMEQIF2j+osZEP7ZYQNVeGJpy5pbyRV\nwsL3fsrgl7JeMbvl1mpqWK9pqndadWBlwZJ6m8gSe1Cx7JYNZfaAjrPv2VCAJ2+BPSCJqgIBGws+\nDn7IC7cHqbMHkfmbUXvAwcaAPSZrhLFembcHwaeR3DhTXzpJwEYGtNgydjq3IvbAJk4WlAq2NNSB\njbYiQCn2DckiArwyvVNwjNoDlgBG7IFgvSQbGoCNNDmzOiNJOwMwovaAVwilAmhhayDzYCM/VAch\n8KrAwEZ7NbKE7K33a1V+vgnwwFW7X6An4gOFEGy0X3pWCs4esOAXPjC1ds0+D8hv9CmnM5Ygur/n\niZlSypXgdao9gPYU51NOOQVHbTwWb7z8UmRpimajgSv/6Z+xYLcF2LhxI1atWoWTTjkFr7ni76qx\nhokmTVRtrHXciU/BZz7+MRyyciWWL1+Oo9auq8apMX/+Ahy1bj2OX38kTnvqU/HOd/4TrnzLW3DB\ns89EWZYYHmrhyn98N4448mg856yzsfqII7Bw4UKsXuOP+7eW+Wc/vQfPfOYzsW7dOnR7fbz0la/B\n2nUb3Dg2nXAivnPbbXjSxg3YsnUrTth4FN7+7qtw6gmbcNu3bsUJTznFJeI08bBjVQAOP2INnn/h\nhVi3bh00gHOfdxEOPewIdMZ/H+jJzo1f/fyneME5V0CpBEmW4T3vfR+UAlauXIk3vPlKXPDsM6G1\nxlCziTf9w7uwdt06nHXW2TjiiCOw+8KFOHy1edc0y/DqSy7DGScdh7333gvLV6wAAKxYuRJ/e/kb\n8ewzT4PWJVSa4Z/e/S9QKw4M5oWdX8sPXolLLrsMxx9/PNI0xYpDD8M73/dhvOHNb8azzzwNeVGg\n1WriA+9/P/bdZx8yP83c2fTkE3Hnd2/H3qefCqUUPnf9dXj5K16JD733Pdhj4UI0h4Zx6Zv+Dp+6\n+mo0Gw2cd9552LyzjVOffBxu/a+bcfwJJ+D2b38LTzn1qQyAsLKOfYz+D3/4A575zGeae2WJZ5x1\nNo4/6WQoAOeddx5uveUWbNmyBWsPWYZLXv8GrFq5Atdd82kcfMihOOrINVAArvy7v8eaJ51A9gD6\nviU49udKAH9a/e9/3GVQbvNvWX4hnXKJ+n1DWSU36ohiDlU6osBwBgyKKHdR5ptacUeUmuBXgzmi\nwrIOxCnTfUNyz0XMEYVOucYRpcqhiOxDxGxfEQlQiCPiiZO5ah1RdT8Rjogj+oYJoDqLOWV6wiFz\n/MoGjbJ8SLBJUmeMWeNJjQlsC+aUVaAzjV5K2dBKZ+Qj7LE9bTQw7UgmBz7wtDrpsIRbMlaaBVL2\npFyaOPXyEBhgOqOJgA06ic7QRQC0yEMIJAvuEity2AdlQ/1pjpz1snMrS/3pmfWsl3kPO8dNAK4D\nZrgkOuMHn5hvghlZeNark4dAC9UJD369HaZAC1+r/lCeRCmUWrt9VgAFWnjCQvfohEkkH2dK7UHm\n10DUHlid5ZqvZbvOWHkmP8DF2wMCjpF1lFayYHPL2Ubv8G0pqi+xD+0BZ73CuUVLwuVeXfeuaWQN\nZMoDgTF7kPq9oXVgoztRWnt5dnONVIWJFQUbY2yoApg8KRsKhIeSxNi7OrCxlREWPGZfiU4o2Oh1\n6oFXCTbG9t/Ft0Ukfi0TsJGxoUnEHuSaAa9Re9D3+pDAlQUbGRua8IO8umLuWHtAwcaYP6M6k+XF\n8n6dziTYSNnQIBkuCpdY2XVIdWaSdq8zZ8OJTgwgxNlQCTbKb/wB/IRDm1hZH2OfpSyh/Jg3yLOW\nQbEyolEsDbIfGZ9EXpWZDldy3NbuY/2mEzDSTNFIE2xv96GgcPUnP4U0UejkBTbv7OLXj2xGqYEl\nS/fBzd/9oWv/Y//2b9gy1UUvL7F0n33wre/fhU6/wOe/+CWMtUyp6o5OH9vbfWiY97jqo/+OVpZi\n1xHDBJ1zzjk47qlPh9bAorlDeHxnF6XWuOSyy/GmN1wBDWDbdA/TvcK0UcnzZz/5CT760Y/gqquu\nwnS/wNbJLkumX3Dxi/Hxj34Ap578FNxxx/ewuSqp1QA+f+1n8Lo3vEXIyvz0w5/+GiPNFOPTPSgF\nvOpVr8JrX/Ma9IsSv99hSln33Xcf3Hj7nZXeqM5MAnzGaU9DUWpM9XLMGfIs43POPhsnnvYMNNIE\n84Yb2DzZhVIKl11+Od5wxetRaOCSy69wev/rF78Mz3/hSzF/tImRyh5NtPs481nPwTnnnINWlmCi\n3cdIM4MCsO++++KuH/8Yj+80snj1q1+D3+0wpbDPf/6F+OuLLkIJYOtkF928xLOeczZOe8Zz0O4X\nbm8oAygq9u75F78I//ah9+OZp58KANhz8WJ88GMfR6k19phjynYLrbHbWAsXv+BCaABZmuGGG2/F\naNPsN/3i5z+LK//+rW5WJmT+0s9d2OuA/ffHTd/5PvpFifkjTUxVnzJTSuFTn/oUFIAd3Rw72n20\nsgSjzQwPjU9hqGHmVpYk6Jclfr+9UyXCPtG0C4X6sz9pAqiUGgbwNJjk7/cAbtRa/2E2f/uXuii6\nrGockXPKkI6IJAsuePCOKJ5YcUdEnbKKOSIWoJgxW4WFjoigiMQRZZoEKNV7U/RYHoUOhI5IOuVa\nR5QlSKtUgO71mu6TAxsc08MdkWRD6TipI3IHzThE1Dsi6pS9zqhjJ/K0TtklquHBFFJn8lASe1HW\nK9A7Yd8sY0CdcthH4d7J7utkfZQ6KK0EeADdzblTdsmCTd4kG1rphLJe072ClyghZL0oG2rH2YrN\nLRrkiISEs6EIWS8ZEMIDGP1SlgZbloYEpuKjzPaiLKIL+AjQQvd68QMuUieLJlkD/KPNZpweENIc\nzKnsASuVyvk4Xak1acOtgcyz+XYcnb5hvVjJIsw6c2WPZen2ItDEasiWkVJZEFkpcJ2xvXNVkF2n\ns6wCUizwU2iNtjhgC5BBo0+sbDk4WB+cTeL2oLKvpDyzmRJ7QBJVdgiXEvZAHG5hA0v5ORV56A5I\nHzQ5a2Y+GZZgI2VDbRBMgSs77ynQEgUbKThGGak+Z0M9eOB1xgChav5SsLHdJ2yo3TMCngxTNtTZ\ngxqwEcI2ArZUlbN3tA/J1qdSZ7K6ArZKg4ONURtO1yqrOuD2IAAbszTKerGtAhK4CsBGBAm1BFpi\nOuNVBVzvdl8xZUPtHKZgIwOIrc4o2BiRlQQbGRuahCX29OAJmiwAInkT8af9iTGA5L5jC7UOEkSl\nFKCrn3V9GzLQd7+j7bhuwiTUzFHzi5I94x9ie71o2SRNZqEqtskH6ZwNtW3YVBl44P77cdCyZeyd\nTLJs/n346jU47vjjURQFVJK6ZzrdLk457Uzsf+AyBxgxWUDK0wrD/MsmLLJkkcsz/u1Ga6Fi943O\ntPtFqbUv/Y3JEzJxUvy+1ozxcn9PnmGf1SB9uHFWz6w6fDWO2XQcyrKAShtAdW6GLQuOMsNEnt1u\nDyc/7XQsO+ggVv1gxgkPkoBf9hnOgvt3cHoHLU8O31VrjbL0pZc+VmIJYIJZXDMmgEqp/QHcCGBf\n8usdSqmztdbfnE0nf4mrmfnESjqiwClDOiKK8Jkr6ohYICUcEXHKVtFx1osESsQRtXs5O7DB9kEd\nUV61SwOUoUGOSKnQEUmnLB2RYA0Av9erm5fY2en797ROWXFHFEsW6Cl0/KQxVelMxR2Rc8rcEbHA\n1JXp+WCtTfdckkVay3op2QYv63XJrk0mumLfED0Ag5Z0RdjQIcJ6heVckX1YBQ+2gPoSpNTJ0/zc\nLwpMdnOvDxUy1F0Bgsi9czlNzkjQyT6g3hdsqOsjorPM68yeAltqk6j6MRCdxRIWorMmC3KozsBk\nAYAdqmMTGZD7bK9XmjgD2SSslzwR2DRR88mLNGIPgk972MTJs15TnZztDXXBL0narQdokMSKlqq6\nPZdZ3B70hCwAnrDEDtUBeIn9zupYdbvW3VolrBdlQ5XQmWS9PKjEWUQJjjEbXvKqA1ceT1gvXmoN\n966M9aI6EaW/EgRx64zoZKqXMzbUvAcBWorS9U3lGQUbLUsjEquO2Dsn7YEsCZf2IC8L7OhQnYVb\nGroSTBT2QMqC2fAI2Mh0Vsd6MXtgArWpHrVbYO9h5FnwvaERsJFXHZg26sBG6/ODEnvKDFc6o9+t\nDU6LhjhYqkZntJS6Q2yjBV4p2DjZNTqrY0O7eYFCEyZeAC156U/bpcCrBBsZGwowsNFWaFgZ2svG\nALrau2R/Ry+eJPpEQLn7itz3v+NBuInSbSlgOA6bLPhkwibkgD/wYnAyAdeGDNLle0QTKyifqJYR\nNpQ8WWpAVW/y8/t+677/mMRkBeAFL/grZGniDvoDgEajibPOPQ95qQnjKlkvLx8/Sp9MOJ0FSbty\n4yzJ37n7TBbkb4jOXnvZFQ44oPIM2qBJJPl9vbzpOH0bdH9poDPtC3/Pf/5FSNPUteB1QsfhO6Ly\nzBpNPOfc89l9zwCSuaVoibNm8zMOYPiXLUHbIOMIZEHmFVmrgTJrrtlkie+AGc+xAEYAHALgbgAf\nnk0Hf6mrzhG1+4V3yokXJd/rxY/IN+0R1ss6ohqnzE849G0wRyRQbjNO74i2t2uccp0jcvu0Io6I\nyqLGETWzMDmTCYkN0mkQvqMTccrgjoixoZZRjTgiHkgh7og8oiESqxrmrJLnpEtUic6OfmjSAAAg\nAElEQVRAgjER8LlAquH7kGW7AEd2p7qcDVWIsV78wAaqM8p6NdMEFrOp15kK5lYYmJr7NCHZIYJ0\nJ283fyULY4Pfmj4izG83L/ne0Opq0OA2wjLSfSw7iM6sQaP3e+LAhiCQKgUbGin9bRM2NIsg6Zxd\n9jaUsl7TlBFA3B5Ixsm0QcrGIkALbWOnCNK9rEiiGkuGCTDQ6evgfgIvT5ZMZGlgG81a9TqL2YOd\nFlzIaJDOgSt2wmH1DGW9mD0AGScB8WyimlF7UANc2fewrBcABoJwe0AAIbHPEKCJah3QEtoDC/JZ\ne0DBRsqGJq6MPw42WpxPgo0BgIF61qvhAgRvP3d2vM7sFbBehA21cycGNjZJ+SadFx3KhmY1OhPr\nCOAHS02SNRADx3q55joT9oCX2FOGmuisXzA21NsD5dsgJ+Xai55eTMFGxmBnkblFdcZAvJg98Drb\nIYBXJ+8ZkvIo2EiA11qwMbPBcXi4GsCDdPOzTRZqgnQbIA9Ivsx90gZvwgfppQ4DYJr0oD6IjwXQ\nirVjx6Gj4+Csl393l2yQtmgiEJUF4uWuVFYsaVLkWdJHlFGF74PqxA/Fy8sngGSMVBZUnixpr+5r\nnpAzvVY/MDaUvKfTO+Ly4u9q2VSps4g86bvU3re2UchTvL95xuokzh67f9bcpz9rxNlQnviH7xHV\nGbnLyKM/YQK4AcAVWuvvaK07WutfAHgxgKVKqcWz6eQvccXQToAEKKl3uNIRtUlZo0dh/DMT7Z7r\nQ5b+ABzlbpKgkToih2ZmCfmODw3SSSBV/b10RG1SluOdnXdENshpSgMfRfhIkEMMPGNhYN/VO6Lt\nVBYInZ08yMBe1BHxQCl0RFPdgrGhMYc5TWShInqfoMGDNZxE3nKvl+2Dlo1RBNq1QXTiEivmlFVc\nZ8Qp2/fWmiTUJMnkTrlgQbq9/D6sEtMkuGWBqdMZSSYiAUo/5wyKFcYQYWn8vFBEFhxoiQWm9NRU\nhuhX9xMSeE60ecDn+ogFpikFMKo1UGgP1jC9x+yBTxAl6zXNWAPze3rC4cR0tQZIya2Cl6dJrOgJ\nskIWpcZ016+RjNoDq7MI0KJAkglRMuvsAWG9pnpWnooE6WQN9MuAAaTyNG2EQToFWpwsgiDd3O8V\nYpxCFv3S92EOmgnXwGQ3h9b2W4uhPegX3m5lqWJIetSGU3tAWC966E5gD9jc8kwQXUcxoAWgttEc\nvGPbsM9QsJGyc2mkpJbbg5q5FWHSaXBAdWb3m0mwMTa3KNhI+3CAJlmr033+OYvQHni9ZykPKm0b\n29ocEJJ9yINmQj/B7QEttQ4Sq1TYcOLP3LsS4JWuAeYTKdDi9gSXcb/biPSRChZcxgcMeOVroNML\n4wO6d9n73TiA0emXAfBKx9wv4gdc0MA0L3mi4P5bPcnL9HwLNPilpYBO84omE+5XQQAMcAYwTEjM\nTyzpiQT6NhGwMvJ/T8dJEismDfA+wK9oklnTRxFJvGibjPWi78H6sO/B/96NkzJvZCyqRp72YqwX\nSyL930t50vbZe+uZGb6YPBV5nrF3NLGy/9D0XYU8lehDjJElb9GkHQ5c8OPkE4PO34GJqgAfqP9P\nIvPXypSCjQHqUHPNJgFcDOB+8bv7qvH8j/kmIHPKoMlb3ClTR0STROdoiGF8fGfXteGCRhaYzuyU\nJ6ZrWJjMOjvvRHyQXuOIiHG2e73MODvuvnfK3hFN9wt2fL1zymTfkJVXViOLrVM2+FXsPagjakc2\nxbeIIxoXAYjsY3vEKTN5Fpqg2D6JpG1sJjrz9yl6HN9PRpF0qrMsCdsYF4lV0EapMdkNnbIJGkOd\nZXScFvFniRVN2pXrYyIWKNFxTnud+cSKB3ztyNyy86YoNbZOVfKkbCjpw64hujfUjNMnkT5Ajgfp\nWya77j1jQEs/p8wD7cMn7eNUZzQwrX6gOqVXg+ksD56hgenmydjcIgwK1VnMHhQlSUj4OnLB7xTX\nmdtHSGRBExJ7pcqzXm4NZDIwrYCWfs72htpWKOu1nYzTXlF7IALTGMAWDdKLEuNTEXtAdFZnD+jn\nPXZ2Q/tKAQovC8/EU7vVywv26Q57edtYYhtJ/JNB9iATNpwkkRYEsfvRAV5VwGy4k7fvIzhsScjC\n2INecJ/qjNpfLyuvY6azLAK0UHuQCuDVsYxkrZPtKDQ5oyx3DGjZQtcZtQeU9XIVFH5eULDRr6O4\nDZ9gIJ6/qE1x9oDYcNqGjQ848BovCWf2gMhiYgadjEeBFg42TkfmbyPxYOPmSTu3CPAKYg/ENhTp\nu+23Gc37eVnRoD4v6pIemyygJmHxwW9hvxdHg3DaxwwliywIV+KJ6ud+ESYCNNgO2Dfwf2tNxkFf\nWPlncjEGqzM6pJn2tfVnkGfdvjf6b5aQRNpwOquTJ2W1xDjNA1QWs0+sAJn4h+WbUZ3xB0gyXCNP\n0gdLnKjOIOcWG6ZPdjVPyukV6ExJefk5LtlQ9h6ol5f9yY4zEfftWpa6rrtmkwDaMf2PvgKnTAJ5\ne986ZcAb+FJ79II55Vgb0ilX9zVMgGCf8YbTG3j7S+6UaaAU9iHH6TZ5U5aQtOGSuzSJIv4F/cBw\nEjrlovRGjzpl6oiYLAjYYO8bw2gTFv8eGXFEdqGbMj2QPiI6o7KwjoggJCyxIgGfbYM5ZXDnyI6v\nr64hcnS8veqCSjkv5F6Zgo6T9EtZL68zH5hScKGsjFrglBv+7+1IKRtqg/pgnMQZ2TFoaKezRuqN\nDC3H4nPLyqJOZ15r9KPLbpxUniJAtm3YVUB1ptkzhA0lrJdtlyZndWvElmuZcZr/FtUGa/uMtwcq\nIk/ChhJ5a2Aw+1Fq2JFyWRB7QMZJ10CD2IM88kwy4F2dvDNpDxIWpNPAlOqM2YPIGmA2x+pMg9kt\n/x6e9bK91JWZUnlTf0fXQFxn8TUQK1nUUE7mHGhJyd97nXkgJTJ/hQ1vEXtQ0HFWF2W1rM4YGyrs\ngYZnQ2Ufue0AnA2t01lsXpREZ00BLlBQyLRBgde4vOn8pYenWBNL3yNqDxjwCmK3yDphQIsHG+01\no80J7EEli5L4K6qzAW2Y+2RukQCZAq90T7C9OPAaiQ8yHto1Y+tM2hSSuHt5kj6ymM58L02mc+U+\nKxBNBmhyR4N08m9aOinv00BTib/zAXKYWMk+/N+QPurGSZ9n4wwTJ8p6+b+RffBnAvaOJBO15YKR\ncTqGGlResaSJ7nfk78bHEfYBItOE3LftSDZUub+uSXoi42TvSRL/aCLL+hwsT9aPCu/T70cGbGiN\nPOkeOz8C/m62lag8ozqrY0Or+zq+x5WCC27+aZ9bKKVIuf3sMsDZfgbiG0qpPPL7m+TvtdYLZ9nm\nn/TiTtk7lelICRPgHVGvKJHpxD1jL+okpkmJEk0mrCPq9EtWouT6IIdTuO+b1ZSixkpqTBveyfQj\n5VreERW+rCxV0X1FsfJO+152nH2yV8H3QVFCWkaS1LQRBunW0XT7snxIsfvBOKlTJsFFP4mcaFbz\nrrx806OyUadMnJ37lluNU6alQUyeJGj08owH6dOsLGewvFliRT6g7j8XQNhQEjROReQN8FI/q7Nm\n6nVmg4d+gfoSpSwyt4jO6Pfe3Dgpkg5E23BJpuLlmX3Chto3saxXXpL9eYKhnlFn5Fj3RA0O+Jw8\nKRtKnrdsasiGxteZY0OhgjVA2VAzTp8gOp0RNtQCFO1+wUq+MiLvpnuPkOkExKc5Ivtko/OTzD36\nruYj12acLTJOy3p1c1J2ntWsEWHDJYjXLzRSFbNbdfbV23BXptev9oZCJu2VzSH7ITNpG2vWgJTF\nQHuQJUB3gD2I9REBWvqldvKuszlUZzQAqTsJ1142Ye4XBdNZrGSR6VSFOjPf1yWVDdQeDPDdFGzs\n5WVUnhZsLLX4XiFoHzP5RGMPeuS4PTY/Ebd9sT3t02RPMQVeh4jNoTrzQEu8j5g96JXxcm4LNnb7\nfJ05oAU1OiOycCx4UWIyV5jeMYF5IyTMI4GpPABD/rvuREkbDLM9gjUMCz1wJJYIaK1d42GCpwB2\nUIft3bcJVKeAunHxcZpOZrPvTfxNdbG9XuJv3CjMMOtlAdFHICvaRyTJVP5dixnkaWURjjOiMzo4\nEHkyeccTK9cH7yJ8V9E/S5xiSaTyiSo7rIa1I/qokSe0jo5TRcfJe0lm6IOCC+xAHNoHWQNaa0zt\n2I5Gs+XasH4gaLzmmk0CeOVsGvq/fWWzcPxRp1xqaF3nJMxPU7Fkgjiiaba3yXfyRzmiTEGxxMo7\nophTpo6IBqYxR0T3IVKnTB1RzCnXOiIvTu+IirhTVsQR0cCU3vey4Ac2uD6II7IOLGRDIzqzKAxJ\nJuqcsp07dF8Rc8p1gSkZaCsSSFE2lCb+XGdWFjTgC/eG0j7ymsRKRYJGemCD/dmOM8aGUnCB6swH\nY4iugRjQwoGBMKhkskhFYEqAFsqG+nGaNvKy8Pshk4QDLXINkAAb8KxXvyidnCkbGtWJSFRj65Da\nA8p6yY+fS1lQvVOJcnmGe0OTGrsUY0MlSOKBFgouhMlwNGgUwFUcVBIBdJUATkWC8FkFpoT16lt7\nELAfA9YZBTDYKbf+XdnnVCJ7QxXiCQtdZxRs7EcTqxhYQ9hQxJJ2wYYSsDGWtNeBjWycLFEN2dA6\nezBw/tb4idq5FbEHFHilbXT6RRR4pWAj3WeYUBseARsZ8ErARhuM0cSqzm5RmxKTBZ2/FGykH4pn\n7xHVGYkPGNgY2leW+Ed0xoEBvn86Zg9+uiNDu78FnZ0T7iA5rc1Wh7wskSYKRanRSBM83kyd3jq5\n2f9q7wPAxFDDzfFSa+zo5NBau2eGGimGKiZca2C6bz7hY++nicLWZuYAiH5hynVtwllqjfFW5t63\n1Ka83/5tUWo0swTDDT/Odt98AsXeVwC2kXEW2m9lsM8MN1K0shRKVUF5zxyAZO9nicLmVubWWq8o\nMdXNXUWUhsa2VoaMjHNnJ0dJZNHKUgw3fFXAdN+UrLtxKoVtLS+LotRuf6t9Zmsz4zrrFcjpONME\nm4nOutU2g/+Oztp98xkrez+ROitLTHZykywp0yYdZ6k1pro5cqKzRppghM6tvvmM2sBxVt9u5OP0\nOpuuSuvp3NpSp7NKfrOZWyON1OksmFtSZ5G5taVZzS2EcysvNfrIcMjy/Yk9sD5jVvnfzAmg1vr/\niQSwLkjnAR9xdsQRlconE/aKOzPvlAHviOgBGVTsnPUiaDsLQMJgjQem3hHFnHKd06XjqEPS3XtQ\nR1TMxKyFB82YcRon0cnjbGisjboDG2IJN+2DJYAC7YzpjOQ0DtFvR4JOQLJe4R4rjvyGB4pQeVJm\nrUGYNYYOR4N0kqjWMGtpxS4VpfjkBe0jNi9YkG7GVMeGJmwcXmexPjir4PugHw2Psx/xhCVl4/RO\nz/89nVuE9YowfAlQI88wSLdlUABnQ2tZ8AjDV6czynq5+Vezr6huDVDWK8aG1jI91f1owhKwoZXN\nEfaA9RGbvwhlYQ8XkmwoZ738/lFmDyJJexRoKTWSyCFcMXvQDOaWuT/QHqSW9YrtBYvYnBo2NCfs\nHGNDEQFSGLClQp2lnA3lYGMkmcATsAdFGWVDOePv7QHdUxkk3KKPGNgYAAMDgBYzTgnicXtAwUZ6\nQBbrQ8YHEnglQEu0jF/FdZYOsuECeGVgIzkNOmYPagG2mYDX2PxkQAtdy/E1wA7uyRVu+b3Cufvu\njRWL5yJRCp2ixCfvfAi/fGwHdhttYstUD4cvnYczD16MuS0TYn7/kW24/vsPY8FoE1unemikCi87\n8QDsOdqEUgrbezmuuvk32D7dd22cvGoPnHDAbsbPaY0v/vR3+O6DW1wbSxaM4Llrl2D3YcOAPLB9\nGp+46V60sgRZqjDVLXDRk5Zgxe5zkCiF6bzAv3/3Qfx286TrY+0B83HGQYvcvLz1/q348o8edX2M\nDWV44aYDsLga57ZuH9d889fo9AvsNtbElskezly9GIftOx+pMmXkn/vRo7jrwXHXx7JFc3DWwXtj\n1+oj6r/YPImrv30/5g5lmO4VyEvgJSfsh/12GUaiFCb7BT767fvx2ETbtXHs8t1w6kG7uzX69V89\njpvu/b0b54KxFi46Zl8sGjWy2NLu4eNf/yW0hmvjrLV7YdVeuyBVCt2ixKd/+DB+9sh2d//Qvefi\nGQfvhV0qnd312HZcf8eDmD/axPhUD4kCXvGU/bHXaAtKKezoFXj/Lb/B+GTPtXHSIQtx4rLdkSXG\nFn3p57/HbfdtduPcc9dhXLBuKXYfMeN8ZGcHn/jPXyNLFUYaKXZ0clywcW+s2MPMrXZe4uPfexD3\n/mGn6+PI/XbFGQcuwmjTjPM7D47jCz98xPUx3Ezx4uP93Jro5rj2xl9jqps7nZ12+CIcvt8Cl0hd\nd89juPPBra6P/ReO4ewVS7Bg2OjsN+NTuPqW+zDaSt2Juhcfvy+W7TqCRClM5QX+922/xcPj066N\njct2w9MOWuhioBt/sxnfuPd3bpzzRpr4q2P3w+JKZ+OdPj759V8iL7Ub5zOP2guHLZmHVCn0ihLX\n3P0I7nlowvVx8J6jOKLh0zjb12wzwGTmR/7fuGYsKxNOuRUpv+BOOcJ6BXvSBiPp1hHxZ2YIoKVT\nrhxRN69zymFAR53yoGTCjaOOMWV9zA7x54EUccoz9BF1RMIpU0cUO2Qjxno1sjh6PJNTBnw5FmND\nibxjJyQCdSxNHVJeU4I0Q9IeL0Wtc/whGwp4xL9DvlGZkghboQaBfgIlzOYbdQbd6vQjbCjiOmMg\nSLVW69hQwxaJAFmyoWKckg2NldRSNrSW9SLjcGugHw/WomW52Ux9SLvl7UGMDY2ugRo2tC7Apnu9\n/Dj8/XgSKXTWiM3vGexBxu1BfA1Qe0BK7CNsaHydCXlG7tfag5jO6pJ2LwqfqNaULMbGmSUyKR/s\ni2pL6F0fYXlxI/MHTxlZmH+3me2c2R5Qec7EMrIS+8jBaXU6o+CBXauxE1WdLCLjGGQPQuA1ZMEp\n0FJnD3jiFE/a2btGnnH3IzFIwIa6EuYa4BWhPZDbUKLrjNqDCrzRoJULdeCCv0+B16az4eF7AhJs\nJH3QmC6qs9Ae5HXAaw2QwtdZ5P5M9kACrzOAILRaKg68xnVGr1ZgDzjwSg+Wmo5Um9Szy+E462K6\nmbbD1NmLWNk5i+kC4DXUyRMCXuk4u6E9qAV3qSxmAl5RE7+CtDHD/Zjv5uBu3Bcx4DVz6/r/Zwkg\n3QdDBMWO4SfPU0c0o1Mmn4ngBj7lfcSc8qCkh9ynbXCnXDFrNSVKzBFFPjlgxqkCWVCnnNQEB6yP\nyH4GyoaGfRhZxdBhOk7KhjYjOqOLMGOOqGYRDjB6ZpxCZ0FiFSsTFQZejFM65SHCrMXZUOKI+t7A\n01LUmM6oU447ImGcIzrjTjmUN73q2qACbUXaoE6ZOiL/TJxZq5+/MlGtN/Cxd6EJCzuRkr2H+SEv\n9YxOuU10Ri8/f/2eTA60hG0ETjkqTzpOYQ+kU0ZE3pm0W2KcwinH7FIzCKS4zpppwqsjInaN6QwI\n1gBP2lWos0yxNUAPlrLJRKtu72eNPWhG7AG34bHydxV1/LFPvpgx+eoIO27Ghkbta8LAmNhapWxo\nDGxs1gXpRGcsyGnUz00ji5l1FuqdJ9wxe8CA15g9qAFeY9/fM23EfCKZ36jTme+DfgOVAq9snEJn\n0obHxkntQVpjw3mQLuQt7UFUZzPIU66BqM6SeBskEbWXisk7qBAK7QEHy+PzM9ZHne+mYCM9lZ0l\nJFH22F8zxQcmFgpjJR7TReItCrwG/kwCr/GYbkZ7QH1NBKDgwGtcZ2lkDdTFt0ohjJVmsAcSeKXf\nanUxHQNe4zqjOonFIExnNL6NnJRr+gjjVxbTVQhorxZ4jciTAK/23eU4qbzjMR19j/haJq/iZDGr\n7A//X0oA5UIWwax0ytQRATUlSpE22CKM9UF+RRXq/ybuiGibsUVY957UEblnyCIEfJDj7mdKJIDh\nu4ZOmU8pgzzQPmLyFuMM5CUC6BnaUKKN0CmH8g6ccnRekHEiPk5v4MM+YokqdfRhkB7RWU1g6u5L\np0wckf8bmahGdBZJrPh9zmCH81f8HNMZ+TmJtMGdclxnsYCvrg8VWwOSDY20QZ0yTcrNfeVOFXZ9\nSHkKe9BqzDR/Y/Ik9xGZnzVOOfaefpwz2IOIDgNASD5DnXKNbYwlmf6+CnUWaUOOS94P7JawUxnT\nWbhGspQ75VZkjdBf0cCUvgvrI6IzOvRmZN7IExBnkkVL2oOUs6ExndWxofQ9WJCTyj44Gxpbq3Jd\ntbLwXQN7EHmG2QPRZgi8hjpTbJ0Ntq80MKVtsMBUxAOD2NBYH2acoc5oH/FxEJ1F++DjGgr64MCr\nEnbNjoODeBGd1QSm9grKzmf0Z39EHDODTZHAaypiukHbUOwVAq//vTimTmexIL3uPaPxlgBeY3FM\nWpO0+2fiwCttg7PL4fzlIF7cr9IrqveZ1qrYhhKNDyIsovt7CbxGxjWjPRB6N2Cj/HsR0wW+ZOY4\nRs3kd+XWoajeIzr7n8oAKqVOVUr9Sil1r1Lq0sj9Vyulfq6UukcpdZNSap/ZtBsmE6GToPKXjihw\nyrOY3HFnJwKlYHJSpxybeNwpB44ocMqRSRE45cEGp24BeKccMZwJf/fAEQVOOe6ImIGPBmP1CyRw\nyn+kI5JHGw/SGRAPbqmOpCMKnXJNwDco0J8hGQa4U3Ztip8HB+mzcURx9Nj9LJyydDSzccoNEaTH\nHFEd2umf4eOO6Yz+SsrTrGVq4Gv6mMkp0yA9Mq5Gyu1BTN7SHsiSu5BZkw5T6iju2N04YwlzEme9\nfB/cKbcaf0Qf/6e9N4+2HLnrPD+/kK7u+tbct6qsvbzhrbDNamNssFlsFmMMGAyYNocz9PT06W4G\nevpAQ9MzY+YMdE/D4eBpGNw0YIzZCmMMbi/YLDa2MZvxVl6rKrfKzPfy7XeRYv6QdBWSQtJ9mS/3\n+J6TJ5+udCN+it9PH/0iFIo7ww0zdw2Q51a8v9jeZZ/l6rB02qWUSBXuLYV4LA42BsWOapEHxaeh\nM/Cg3FGQxsTUfBoqXK0k3b6arllGHQ/sA6/la8D29CNfh2EnNjYW8wObz7JtGw/ybWHhQcNAS2ng\n1WKnmVNUDS6Yn9gGG0ttYfGZKbvPzDLyuZIUyrBxbbcdK+vgwgwDxF5NGdacruGeaOtMFHOMukHQ\nqsGFXEdV8rOnijyw5SDFMq3taWzbBr/KT0PLPjM/6dgGNHN12HPPJqaUB17zuVLuaWhVflA3kD1T\nrkRhu3we+adzBR6UBl6beVC6TxTyW5tP8gOv9j5JPqdL+wX5cqo0689A7IlExAN+AXgx8BjwQRF5\nWGv9T8ZhHwEe0lpvicgPAT8DfHtT2S0J0VtfQEs6X7+f3+8p1PAMOnk/R3Q/cVg6fUMhkw3YXo+X\n/9VCy2vlyvCVRm8bdchcoQ5BRhfQeiepo10OPEaw9QQ68U/RTt9TsPM4OvmZA4kGtDxFGBlTFsbr\n6K3TSR2eJfAi2KqzU6FG59DROCmjU0rSvWgHvXV2GsCB1y2dqxo+jh4l05qiOUSyZXhbnkKNL6G3\ntpI6/DLUZFLw2aBs5/AMepL6rJe7QHxPYLIZt4WAaGh57VwZvoDefhSdLBPflvnyeYwuGj4Lyj6T\nMXrr87U+E4vPcj/YHJo+U7nEH2bzmYzOo6NhUkYnP0UG8Bmit84ZPuvl7VSCGD7zornpzyekdahJ\nvc/8wnXWLvjM9wRvdAYdpj7rWny2hd46E9upoeV3Cm0BGD7r2Hw2XkVvbSd1tMrXQDG2VNFOhQxP\no5OpFKrAg9ZMPCBfR8lOhYzPo3XqszIPWlLggV/2mckDFQ1IF5ZK61BFHhRv/IXYaqt8bPmeoIbn\n0KGdBy1PUAUetIo8UILsPDb1WRBZmFPkQek6K8SWqueB0r18Z8JTOR5g4UFLkWN4m7LPVI7hl8MD\nKTM8WVgq3a8mmc/QqjTIVOKBsjE8z4Piu3R+tFPgQd5nfoHhXjSXW0kv5sEaemszsbPss5aKGn1W\n5EFQ8lmBB16BB57kGW712Spabyd2tsqdSJnkfNZWZZ/ZeLBjTO+UMOMBWmj5lvygwWcYPkO3ywld\nIT9oN/JgrnyvGZs+s+QHMktsZTxAd0vXmYQZD7S284Ccz8q5Up4HFp+psIHhyb3GzA+KA68lhgeF\n9mzK6VQhpwsqfHbeYPgMOZ2vmIyqcjpVHsRTejafVeR0SoSW3m1ON4+S7GcLWp6U84Nix7903y3f\na/I8KPpMWXK6TqGMfE4XlGJL4Y1Wcj4rdkT9Ag9aFp+p4Sl0Mi1VdJ+Wr7L3lpOcju2NJLbKDC/y\noHzfLeZ0lvxA78DWOeNeU+CBJ7ncM+aB0A4KN74KqeZD9lTPAR7RWn9Gaz0C3gS83DxAa/1urfVW\nsvl+4HhToULcmxavA14XvC6H5jocmGsTeMJcx+eOfX1EBdP9Svk8cGSetq9o+4oHjs6jlDfdL16H\nO/b1meu0aHvC/rk2B+fbSLIfr0sv8Dm5v0/gCb3A4+5Dc/ien5WhWtxzaECnpWj7wn2H5+LRNqOM\no4sdlvsBgScsdFscX+7h+Z28nUfnCXyh7SvuOzKP8kw725w80Kff9mn7wqGFuDyMtljsBRxd6hJ4\nQr/tcdeBAZ4X5Oy87/AcHT+288Gj86BUzs7jy10Wei0CT1jsBRxZ7OTqUMrnwaMLBJ7QaSnuPTyH\nMtvCa3PXgQG9wKPtC8eXewy6rVwZ+wdtDs53CDxh0PG5c38flbPT5/7Dqc+EB48soJRC/MzOE8s9\n5ruxncuDgEML7Vwdbd/j7oMDAk/otjzuOTSHeC2jjoB7Dg2SpZ2Fuw8OaPsq5/fDCx32DWKfzXdb\nnFjuIapjlOHxwJHMZ/cfmUdJ3md37u8z6Pi0PeHgfFyeaedcUu40tg4O8HJ2tmx5i1AAACAASURB\nVLj38Nw0tuL4zfvs2FKHxV4SW70Wx5a6uWtExOfBJLY6LcV9h+dQyvRZwMkDA/rtuC2OLnVZ7OV9\ntjxoc3gh8Vnb5+T+AZ7XztlZ5zPxY58tJD5b6gccKsSW7/nxteMJ3SS2xMvbeffBAd0ktu7c36cX\n+HkezLfZb/Jgfx9R7Vxb3G/w4P4j84jRnuJ1uGN/n7nEZ/vn2hycy/Ng0I5jNuczVe2z+w/HyZvp\nsyMLHZZyPOjmeCDK58EjCxkPDs+hPNPONif3D6Y8OJyU18QD38KD1GcPHFmIR6cNO08s5Xlw2MqD\n+QIP8tfAXQczHpxY7jHo+LkyDsw18aBl+Cy7Bqax5XU5sS/jwb5BwIH5du48Oq0iDwaoEg/mpjy4\n5+AgudcYPlvssGzw4PhyD1VguOmzB47MIwYPlMkD386D9N6QxlbM8OrYevDoAuLl7zXHlro5Hhxd\n7OZ9JnmfxTww7Qy4q8CDhYLP9g0CDpk8ONAv8eA+kwdFn/ldTix3pzxY7sflmXUEfoEHhwY5Hiiv\nzd2H5qY8OLm/Tzfwcj47NN8xeNBK8oM8Dx44auQHR+bjJ8PTOjrcsa835cGBuTYHCjyYa8flVvFA\nJbE1ZfiRebwCD44udjMeJAzPx5Y39VmcH+SvM+W1E4bHsXUkKS/H8H7AkcWUBz53Hejj5XKlAsOP\nzud4IH4+P1jql3ngJflWxoP5gp0Bdx+cm/Lgjn09Bu18bB1M2tjkgRTsfODIXIHh+ZzuxL7eNKfb\nN2hzqJjTtXzuOjCY+uyeg/k8puizew/NxYO5ps8Wspxuvtvi+FK3nNOZ+UHpOuvEPMjldPn77kK3\nxbElgwcH8zmdmiGnO5bcz2OGl3kg4uVyuvsOz+fbwmtzl+GzY0sxa/MMb3HIYPjJAsOV8rn/iHmv\nKfPg+L5ultP1Aw7P53O6wPe551B1TqfS/CBh+F0HBnRaeR4cme+wb5Dx4MRyD1SejQ8U8oNiTnfH\nviynO5DkG2YOMtdpcWKfkdMdGKAKPLjvkMnw/DWC1+VYkQeLHcTP557dwEfMx+91faf0N26uhUTk\nFcBLtNY/kGx/N/BcrfUPVxz/88AZrfVPW/a9DngdwNOe+axnv/Xd7+J4e2c6HeLspM9Qt9jeuER3\nsIDWmmOtNfykN74ZtbgQ9hkNd2h5IH6HTrTFwfZoWsej4wU0wnhrjVZvHh2OOdHenD5evjjpsqHb\nbG+u0+n2EOWxT9bo+3FvfKQVZybzhJMJKhoiQR8v2uFokNl5ejxgjM/OxiU6gwV0FHE8WMdL7FwP\nA1aiHsOdbQLfQ/yAgd5kOYhHerSGRyeL8Y9x7qzjdechHHG8vTW18/ykx5YO2N5Yo9MfIKI4pC7R\n9uI6diKfc+GA8XiMzwRpdQmibQ63h9O2eHw8R4jHaHONoD9PFIWcCDamdl4K21yKuuxsb9EOWojX\nYo4NllrxSE+ohccnC0RRhIy3kPYACYccb29P2+LcpM+O4TOAw+oSQWLnVtTifNhnNBrSEo20OrSj\nLQ7lfDaPRhV8tkX6494rkw7rusP25gadbnzBLLHOXCsejRtrxenJPGE4QYV2n50ZDxiZPtMRx1uZ\nzzaigIthj+Fwh8ATxG/T05vsz/lsARDC7bXEZ2OOG7F1YdJlU7fZ2lyn2+sjojgga3ST2BpGHmfD\nOSaTMV40RoIefrjNkfZwauep8RwTPIabl2j3F0o+WwvbrEZddna2aLfKPou08NgkPj893ER15pBw\nxDEjtp6Y9NjWAdsbl+j048TA9Nl25PNEOGA8GuFLiLS6tKNtDhmx9dh4ngjFeHONVn8eHU6S6yz5\nTZ9JhzXdYXtrk067jXg+C6yzkPhsohWnJvOEYYia7CDtPioccsyIrZQHmc80x1tr07bI8yD2WTfa\n4oARW18Yxz5r4sHW5jrdhAf7ZY3elAceZyZzDTyYY4zHcOMS7Roe7Oxsx78PVMMDPVxHdco8yHzW\nxIMRPmEFD+YJURkPEp+ldq6GbdaibuKzAPFazLPB4hXwQGvNEW+tlgfNDJ9wor1h+KzDhu7kGH7F\nPCj4bMqDne2482jlwWLcLlMe5H2W8mB7Y51Ov4YH4zGeTngQbXPU8FnKg9RnOgo5buPBDAxnlPHg\neHvL8FmPnZl5ECUM3x0Ppgzf2qTTaSPKr/BZxgMvHHLUiK0yw+08MBne1VscCGbnQY7h3T6iVI4H\nNoYXY2vK8IQHRYbneNDyEC9gwCbLrTi2Ig2P7YoHc4hIjgdTn+0BD3a2N2kHMQ8W2GAhia2JFk5N\n4vOT8TbSHlQy3OTBUW+Nlldk+JCWp/csp1uWdQZ+HFtXK6fr6032XXFOt0bbi2NrJ/I4V+BBK4rz\ng8xn1zans/FgK/I5Hw4YjUa0pjzI53RTHuQYbuHB5gadbmc2HlzFnG6yvYbfnY0HVyune96T7r1w\n+tFH99Oga/0EcGaJyKuBh4D/y7Zfa/0GrfVDWuuHgNKM13itSEC89Av5OfzJfhGFTpohbcRiGTqZ\nAz4ts1SHIvWQZxwzbVwRIrIy8u/CJMer2E5dqCPdLyLo6Rzx7Jj4o/hHJbM68u2RnUe2J/8+Q1oH\naMt+81ymbVHZnlkdvnEuYuwPk+fZxeAr+kzrCPOJuFlHakfhVcSSnclWVkd6rkpN7TT9bto5bc/C\nIMm0/ad2FnyWloFMY6s4Jz3djDKL83UYZaRHK7GcB5md8QIu5TK0cQ3k7BTTzrJPsngXwmlc6EJs\npX/EP3iqtS6822H4jPrrSCuzLYzrKLFTSXaCXkUdkaWtTDur2iIrQ2VtIXa/NvFAqLfT5IEq8CBr\nCzsPxGgLGw+Sk0uuM4M51vOw8yDvM8l9VrbTzpy0DqVUzEfybLTzoIqv6dQaneNBzs4pD+p9VrzO\n0k9FedMz8G08YHYeVF7LYvIgz/D0mKjilizmwTZuGfeJLLaKZSR1JG2hdfFaLjPc9InJ33B6LUe5\nOrJ7nsGDKp9Z6jCPaeKBVLSFaWfKg+I1ooo+K/EgPS6z06uys4IH5n0gLTBnp8VnXjE/KPCglOeI\naWfZjni3LvjMzgNETX1WdW/XBresbaHMOmy5UMaD6tiq8Jklp8stutdwneXsbPBZbOOMOV3FfTXN\n6UrMseR0RR7YcjqbndqwM9fekpYl0+u9yIPLyekqfTZDTpfGVj6ny87ZloNAdu55hs+e0+V4IMXS\nk2MaeGCPLcNGI6drynPM/EA18KCY02V+r8/pSklpha7pO4DA48AJY/t48llOIvIi4H8Dnq/TF2ga\nVL6Qk/9V5hbb8SLZS9RF4KTHVD1NVaJBJ4npNGm01zF1eMnugp2lm3JqmyCWizCtRyPJBWC7KcfH\neyoDfNVN2Xahm8fk27MIrfy55jtW8XdEBFH1gM/aIrc777P0nGr8am5ndRj22m7Khe9D9UWovPrk\nWBkv6NuOyfusCF+MMmw35fQ8MvIUfZbGZ7rIQvGmPLVTzB9ztt+I0hfhm31WHODI7JzGb6mM+M27\nKp+ZHSf7QIt5nTG1o9bOmrjIFueoSApVxU055YGquCnPwIOsjOT7NX6v8pkkZzf9UfViHRYe5G7K\nlgS7qozsZfxikp7YY3ynzAMKPKioo4IHZntOO8YFO4sML/EgaW8xDMjdlA07zXOzddpTHlQOCOV8\nVrbT5EE2DFE8j4wH+ToMOy1xYZ6ryYOmgZbcgFCOB3afle4Txfid8oDL5kEu9mzXgIUHxYHX6TEq\nvTM1+6zMvthOVTEIIrlrWabH1NuZlxR4UDmQTXavyQ28mjyo6AjY7u25gRaDB9l1W1FGcUdqZ+76\nrMoPkjNJ27uqUz5TTpfaU2HnLDmdrXNm8VmZB3k7i9dqPo+p5mtUkx9M8x+DB7bcE6OOujwlVjGn\nK9+vvJJ7dcM1UuZBdVsk36nIw2fL6cp25r+fxqGdBxnD82eZz5Xyn5nH7Cani4+x2EmeW7k6ivlB\nRVzMqmv9BPCDwH0icpeIBMCrgIfNA0TkmcAvAS/TWp+btWBF/iKcglFlo525443EtDrJmRo1LdMK\nX7En6cXANb9TPIbciNQuk8ZpYWmSnt+fXcjJkZV2ZqtmlS5Csdlp2mAGb3VialpceVNOR6htwU++\nLaqAI1VPJoynXvabclpX9lS3ukNS354YbeFXtJdtNDRnpzHqZXv6gZlUVnRYqBj1ynWsLDdlm53l\nm3LZTvt++w01d0zdTTktw5Y8GImpOTpnT/jsPNjNIIgZF008qBwQKpZZOqZitNNip1/hM13Rabfx\nwG5Ddae9iQe587ANCIn5nSoekJWBxWe2a7kitqp8JgWfmfWWvt+QgJhtUcXXaVvMdB8w6rgKPCh1\nNiznWhVbVTxQ1vitr6PKZ1U8EDH/SM/V/H5cb8yc+ico0zqqGL4rHtifhopUDLTMwBx7e1p4YHQy\nq2YyUTmIl+5O24LC/vJ1VozfaXxWDLTYOk42HsRtUf/0o4oH9pyu6lqdjQd1T0ObfJbngZnTGXZW\nDNaUrtWKJ9i5nM7aVjUDr405XdnO3CwOKdtZ/eTMzgNlyemqZnFI3cArEP/QUJnRGS4yHlQNaFYx\nPNtf7bNyTldhpxG/9qeh1X2Scn4Atv7CrLqmTwC11hMR+WHgTwAP+BWt9UdF5KeAD2mtHyae8jkA\nfju5kX1Ba/2yprLntj8Aqx+fbkvvudB9JvNyjh3upBOdxzv7+9l+tQBL30FbNkFHTFiiv/pHEK5M\nj1HzL4fWEQacZYeT9EcfR1b/Kiuj/QAMvop5Fe9XekTrid/M9gMsvw4RRVefZYc7GWy+D1Y+m9XR\n/0roPJl5icvohqdRZ9+WleEfhIVvoSerTBgQ0aN38fdguk4OqIVXEvrLDDjDDicZ7Pw9svI32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/lffZoWdCK3kBNgoJv/AJMOyUwRFYvDuzc/Us4Va2eqEWD449L6tjvJXYaaxOuPwA9PZnlZ7+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\ntpwuO7JKzbF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pick a list of sequence labels (here gatestrings) or indices to plot the estimated p(t) for\n", "gstrs = [pygsti.objects.GateString(None,'(Gx)^'+str(2**l)) for l in range(4,10)]\n", "# Hand this list to the plotting function\n", "results_gst.plot_multi_estimated_probabilities(gstrs,loc='upper right')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** More details please? **\n", "\n", "Having provided an overview of the tools in the `drift` module, we now give a more detailed introduction to:\n", "1. The types of data that can be analyzed, and the format they must be imported in to use the `drift` module.\n", "2. The analysis methods that are used inside the `drift.do_basic_drift_characterization()`.\n", "3. How to access the various outputs returned by the analysis, and some details on how to interpret them. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Input data types and formats\n", "#### What types of data can be analyzed?\n", "\n", " The methods in this notebook can be used on data from any experiment that satisfies the following criteria: \n", "\n", "- The experiments consist of $S \\geq 1$ different circuits, or sequences, each with $M \\geq 2$ possible outcomes with $M$ the same for all $S$ circuits.\n", "\n", "\n", "- Sequence $s$ is repeated, and one of the $M$ outcomes is recorded, $N$ times during each of $T$ different time-intervals, with $N$ and $T$ the same for all sequences $s$. Let $\\tau_{s,1},\\tau_{s,2},\\dots,\\tau_{s,T}$ denote times associated with these time-intervals (e.g., the start time or mid-point of each interval).\n", "\n", "\n", "- The time-gap between consecutive sets of $N$ repeats of a sequence is approximately constant, and approximately independent of sequence. That is $t_{s,gap} \\approx \\tau_{s,t+1} - \\tau_{s,t}$ for all $s,t$ and some constant $t_{s,gap}$ (the time gap is constant for each sequence), and $t_{gap} \\equiv t_{s,gap} \\approx t_{s',gap}$ for all $s,s'$ (the time gap is the same for every sequence).\n", "\n", "#### What type of circuits can the data come from?\n", "\n", "Many characterization routines, including GST, RPE, restricted sets of GST sequences (e.g., Ramsey sequences) or RB, satisfy the above criteria *if* a suitable time-ordering for the repeats of all of the sequences is chosen.\n", "\n", "An example is a full set of GST sequences, with sequence 1 repeated $N=5$ times, then sequence 2 repeated $N=5$ times, etc, with this entire procedure looped through $T = 500$ times. As long as each circuit follows on from the following circuit with a roughly constant time gap, then -- even if the different circuits take varying times to implement -- the time-gaps between consecutive sets of $N$ repeats of each circuit are all the same.\n", "\n", "To obtain best performance, it is preferable to minimize $N$ and maximize $T$ for the same fixed $N \\times T$ (this will provide better detection for high frequency drift).\n", "\n", "\n", "#### What input formats can be used?\n", "\n", "Two data formats are allowed:\n", "\n", "1. Data can be provided to the analysis function in a `pyGSTi` dataset, which can be imported using the `pygsti.io.load_tddataset()` function, demostrated above. The automated input for this currently has limited functionality, and the analysis is much slower when using this form of input. However, this method has the advantage of simplicity: minimal user specification is required when the analysis uses such a dataset.\n", "\n", "2. Data can be provided to the analysis function as an ordinary numpy array. The analysis is faster when using this format. The array can have a range of different dimensions, but the most flexible format is when the array is 4 dimensional. \n", "\n", "Here we will explain the format when the array is 4 dimensional, below we will demonstrate the method with lower dimensional arrays. When the input array is 4 dimensional, the input data format is a numpy array $A$ of dimension $(S \\times E \\times M_{\\rm marg} \\times T)$, where\n", "1. $S$ is the number of sequences,\n", "2. $E$ is the number of \"entities\" (often 1; and more on this below),\n", "3. $M$ is the number of possible measurement outcomes for each circuit,\n", "4. $T$ is the number of timesteps.\n", "\n", "The matrix element $A[s,e,m,t]$ should record the number of counts (a value in $0,1,\\dots,N-1$) for measurement outcome $m$, on entity $e$, for sequence $s$, with the $t^{\\rm th}$ set of repeats for that sequence.\n", "\n", "The aspect of this array that is perhaps least inuitive is the \"entities\" concept. This allows the storing of independent data for the same circuits, timestamps, and the same possible measurement outcomes for more than one \"entity\". For example, if multiple single-qubit experiments are implemented in parallel, and any correlations between measurement outcomes are discarded, the data from each qubit can be stored with different entity indexes. This then allows for two things:\n", "\n", "1. The analysis function independently looks for drift in each entity.\n", "2. The analysis function combines the data from all entities, to see if that has evidence for drift which was not evident in the analysis of each entity independently. For example, weak evidence for drift in each entity can combine to convincing evidence for drift in the device as a whole.\n", "\n", "Later we will discuss further how to use this \"entities\" concept to optimize data analysis, via examples.\n", "\n", "As shown below, the input data is stored in the results object as an $(S \\times E \\times M \\times T)$ array, \n", "which is the same format as can be used for the input. In our GST example there are 3121 sequences ($S = 3121$), a single entity ($E = 1$), two-outcome measurements ($M=2)$, and 500 timesteps ($T=500$)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(3121, 1, 2, 500)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "np.shape(results_gst.data)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## The analysis methods\n", "\n", "#### What is the aim of the methods in this tutorial?\n", "\n", "The analysis presented in this tutorial has two purposes: to detect and characterize drift. To explain this further, we need to define what we mean by drift.\n", "\n", "There is an underlying probability for circuit $s$ to output the measurement outcome $m$ at time $t$. Denote this by $p_{s,m,t}$, and assume these probabilities satisfy $\\sum_m p_{s,m,t} = 1$ for all $s$ and $t$ (i.e., one of the $M$ measurement outcomes is always observed). By definition, there is no drift if $p_{s,m,t} = p_{s,m,t'}$ for all $s,m,t,t'$. Otherwise there is drift. \n", "\n", "In the experiments considered herein, we are essentially taking $N$ samples from a multinomial probability distribution with probability vector $(p_{s,0,t},p_{s,1,t},\\dots)$ for each $s$ and $m$, at a set of equally-spaced times. As such, the data allows us to estimate properties of the vectors:\n", "\n", "$$ \\boldsymbol{p}_{s,m} = (p_{s,m,t_1},p_{s,m,t_2},\\dots,p_{s,m,t_3}).$$\n", "\n", "The aim of our analysis is:\n", "\n", "1. **Drift Detection:** Starting from the assumption that there is no drift, decide whether there is statistically significant evidence in the data that $p_{s,m,t}$ is *not* independent of $t$.\n", "2. **Drift characterization:** Estimate $p_{s,m,t}$ for all sample times $t$.\n", "\n", "The drift detection and characterization works via spectral analysis, by implement a type of discrete Fourier transform on the data and looking for peaks in the power spectrum that are larger than would be expected if there was no drift.\n", "\n", "Specifically, consider a data vector $\\boldsymbol{x}=(x_0,x_1,\\dots,x_{T-1})$, of the number of counts observed for measurement outcome $m$ with sequence $s$ as a function of time $t \\in [0,1,\\dots,T]$. We remove the data mean from this vector, and renormalize it in a particular way, to obtain the $\\boldsymbol{z}$ vector, defined by:\n", "\n", "$$\n", "z_{s,m,t} = \\frac{x_{s,m,t} - \\bar{x}_{s,m}}{\\sqrt{ N\\bar{x}_{s,m}(1- \\bar{x}_{s,m})}},\n", "$$\n", "\n", "We won't fully explain the reasons for this mapping on $\\boldsymbol{x}$ here, except to note that (1) it is not essential, and (2) the motivation is that -- after this mapping -- the statisical behaviour of the random variable from which $\\boldsymbol{z}$ is drawn, when there is no drift, is largely independent of $N$ and the value of the time-independent probabilitiy $p_{s,m}$.\n", "\n", "We then perform a Fourier transform on the data -- specifically, we implement a Type-II orthogonal discrete cosine transform (DCT) -- to obtain Fourier modes $ \\tilde{\\boldsymbol{z}}_{s,m} = F \\boldsymbol{z}_{s,m}$. The precise definition of this transform is not important for obtaining an intuitive understanding of this method, but for completeness it is defined by:\n", "\n", "\\begin{align}\n", "F_{\\omega,t} =\\sqrt{\\frac{2^{1-\\delta_{\\omega,0}}}{N}} \\cos\\left(\\frac{\\omega \\pi}{N}\\left( t + \\frac{1}{2}\\right)\\right), \n", "\\end{align}\n", "with $\\omega,t=0,\\dots,N-1$.\n", "\n", "We then square these Fourier modes, to obtain a power spectrum $\\tilde{\\boldsymbol{z}}_{s,m}^2$ for each measurement outcome and each sequence. It is these power spectra that we analyze to detect and characterize drift. We can look at the individual power spectra for a particular sequence and measurement outcome. Using the central limit theorem and some statistics (which we will not cover here), it can be show that - when there is no drift - each Fourier mode is approximately a zero-mean unit-variance $\\chi^2_1$ random variable. As such, we can calculate the probability that a spike in a power spectrum is due to random statistical flucations, and if this probability is low enough then we can be confident the peak is due to drift. I.e., the underlying $p(t)$ is not constant.\n", "\n", "We can also average these power spectra over measurement outcomes, and/or over sequences (and over entities, which haven't been discused above, and on which this entire analysis is independently performed). When averaging over all of these quantities, we obtain the global power spectrum presented above. The advantage of this averaging is that it supresses noise from random flucations, but does not supress any \"signal\" due to nonconstant $p(t)$ - as long as the same frequencies are present in many of the power spectra that are being averaged.\n", "\n", "Before explaining any more of the analysis methods, we turn to a simple example." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Example 1 : Single sequence data\n", "We demonstrate this on single-sequence data, for a single entity, with two-outcome measurements. This is the circumstance under which the analysis function can be given data in a 1D array, and so we will use this method below. We now demonstrate the method with simulated data for a drifting and drift free probability.\n", "\n", "Below we use a drifting probability of\n", "$$ p(t) = 0.5 + 0.2 \\cos(0.1 t).,$$\n", "with integer $t$ in the range $0,1,2,\\dots,T$.\n", "This is similar in form to the drifting probability that would be obtained with certain sorts of Ramsey experiment with drifting $\\sigma_z$ over-rotation angle." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Imports for generating fake data to demonstrate the methods.\n", "from numpy.random import binomial\n", "from numpy.random import multinomial" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Due to input array format, analysis is defaulting to assuming:\n", " - single-sequence data\n", " - single entity data\n", " - two-outcome measurements\n", "\n", "Due to input array format, analysis is defaulting to assuming:\n", " - single-sequence data\n", " - single entity data\n", " - two-outcome measurements\n", "\n" ] } ], "source": [ "N = 5 # Counts per timestep\n", "T = 100 # Number of timesteps\n", "\n", "# The confidence of the statistical tests. Here we set it to 0.999, which means that\n", "# if we detect drift we are 0.999 confident that we haven't incorrectly rejected the\n", "# initial hypothesis of no drift.\n", "confidence = 0.999\n", "\n", "# A drifting probability to obtain the measurement outcome with index 1 (out of [0,1])\n", "def pt_drift(t): return 0.5+0.2*np.cos(0.1*t)\n", "\n", "# A drift-free probability to obtain the measurement outcome with index 1 (out of [0,1])\n", "def pt_nodrift(t): return 0.5\n", "\n", "# If we want the sequence to have a label, we define a list for this (here, a list of length 1).\n", "# The labels can, but need not be, pyGSTi GateString objects.\n", "sequences = [pygsti.objects.GateString(None,'Gx(Gi)^64Gx'),]\n", "\n", "# If we want the outcomes to have labels, we define a list for this.\n", "outcomes = ['0','1']\n", "\n", "# Let's create some fake data by sampling from these p(t) at integer times. Here we have\n", "# created a 1D array, but we could have instead created a 1 x 1 x 1 x T array.\n", "data_1seq_drift = np.array([binomial(N,pt_drift(t)) for t in range(0,T)])\n", "data_1seq_nodrift = np.array([binomial(N,pt_nodrift(t)) for t in range(0,T)])\n", "\n", "# If we want frequencies in Hertz, we need to specify the timestep in seconds. If this isn't\n", "# specified, the frequencies are given in 1/timestep with timestep defaulting to 1.\n", "timestep = 1e-5\n", "\n", "# We hand these 1D arrays to the analysis function, along with the number of counts, and other\n", "# optional information\n", "results_1seq_drift = drift.do_basic_drift_characterization(data_1seq_drift, counts=N, outcomes=outcomes,\n", " confidence=confidence, timestep=timestep, \n", " indices_to_sequences=sequences)\n", "results_1seq_nodrift = drift.do_basic_drift_characterization(data_1seq_nodrift, counts=N, outcomes=outcomes, \n", " confidence=confidence, timestep=timestep, \n", " indices_to_sequences=sequences) " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can now compare the global power spectrum obtained when there is drift, and when there is not drift. Except in highly unusual cases (1 in 1000) there will be no drift detected when there is indeed no drift. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Ek3/Q93OJnTZNCqJq1aps3ryZEydOUKVKFT7++GPq1q0b7m5l0759e9q3z3O5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\nqxcwcoQY9GbF7EuLFrKtdRvZvv+AzH/pBjNz57Ec0Se3x9e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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_1seq_drift.plot_power_spectrum()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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nz2bZsmU0b94cgIMHD1K1alWqVKlC7dq1+frrr6lTpw7r16+nVatWjBkzJsPy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\nG/r2lUEnf+uOo8nEiZL3pKTA64XNPscNN3BQ6yB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_1seq_nodrift.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can look to see what the p-value associated with the largest peak in the power spectrum is. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0006544481483725662\n", "0.3749917484310896\n" ] } ], "source": [ "print(results_1seq_drift.global_pvalue)\n", "print(results_1seq_nodrift.global_pvalue)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The analysis function performs:\n", "1. an analysis on a per-sequence, per-entity, per-outcome basis (properties starting with `pspepo`), an analysis on a per-sequence, per-entity, outcome-averaged basis (properties starting with `pspe`), \n", "2. an analysis on a per-sequence, entity-averaged, outcome-averaged basis (properties starting with `ps`), \n", "3. an analysis on a sequence-averaged, per-entity, outcome-averaged basis (properties starting with `pe`),\n", "4. a global analysis on a sequence-averaged, entity-averaged, outcome-averaged basis (properties starting with `global`)\n", "\n", "That is, it inspects all the power spectra, after the relevant averaging has been performed, for evidence of drift (e.g., for case 1 there are $S \\times E \\times M \\times T$ spectra).\n", "\n", "In the example here there is a single sequence, a single entity, and two-outcome measurements. Hence, in this case all of the analyzes are exactly equivalent, as is clear by noting that all of the power spectra are the same:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.04870979e-30 1.76948267e+00 1.04190088e+00 2.03213493e+01]\n", "[5.04870979e-30 1.76948267e+00 1.04190088e+00 2.03213493e+01]\n", "[5.04870979e-30 1.76948267e+00 1.04190088e+00 2.03213493e+01]\n", "[5.04870979e-30 1.76948267e+00 1.04190088e+00 2.03213493e+01]\n", "[8.07793567e-30 1.76948267e+00 1.04190088e+00 2.03213493e+01]\n", "[2.01948392e-30 1.76948267e+00 1.04190088e+00 2.03213493e+01]\n" ] } ], "source": [ "# The power spectrum obtained after averaging over everthing\n", "print(results_1seq_drift.global_power_spectrum[:4])\n", "# The power spectrum obtained after averaging over everthing except sequence label\n", "print(results_1seq_drift.ps_power_spectrum[0,:4])\n", "# The power spectrum obtained after averaging over everthing except entity label\n", "print(results_1seq_drift.pe_power_spectrum[0,:4])\n", "# The power spectrum obtained after averaging over everthing except sequene and entity label\n", "print(results_1seq_drift.pspe_power_spectrum[0,0,:4])\n", "# The two power spectra obtained after averaging over nothing\n", "print(results_1seq_drift.pspepo_power_spectrum[0,0,0,:4])\n", "print(results_1seq_drift.pspepo_power_spectrum[0,0,1,:4])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As we can see above, the power spectra for the two different measurement outcomes are identical. This is because the Fourier modes for all of the measurement outcomes must sum to zero. Hence, there are only $M-1$ independent power spectra, which here is 1.\n", "\n", "As already demonstrated above, the analysis function also creates an estimate for the drift probability for each measurement outcome (and for each sequence, and each entity, but here there is only one of each of these). This estimate is created in the following way:\n", "\n", "1. Inspect the relevant power spectrum (the power spectrum for the sequence, entity, and measurement outcome under consideration).\n", "2. Take the modes obtained from the data, and set all modes with power below the \"significance threshold\" to zero. This significance threshold is generally adjusted for the number of sequences and entities considered, which is not relevant in this case but is discussed below.\n", "3. Keep all modes with power above the significance threshold and invert the Fourier transform.\n", "4. This is the estimate of $p(t)$, up to some final adjustments to guarantee that $p(t)$ is within $[0,1]$.\n", "\n", "Because we have created our data from a known underlying $p(t)$ we can compare our estimate of $p(t)$ with the true $p(t)$. We do this below." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Dz4nIJ8B9wHxjzJYOy2UHMP3dd5v4fXHoUK4ePpy9jsPZ773X5PoV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets create an array of the true probability. This needs to be\n", "# of dimension S x E x M x T\n", "parray_1seq = np.zeros((1,1,2,T),float)\n", "parray_1seq[0,0,0,:] = np.array([pt_drift(t) for t in range(0,T)])\n", "parray_1seq[0,0,1,:] = 1 - parray_1seq[0,0,0,:]\n", "\n", "# The measurement outcome index we want to look at (here the esimated p(t) \n", "# for one index is just 1 - the p(t) for the other index, because we are\n", "# looking at a two-outcome measurement).\n", "outcome = 1\n", "\n", "# If we hand the parray to the plotting function, it will also plot\n", "# the true probability alongside our estimate from the data\n", "results_1seq_drift.plot_estimated_probability(sequence=0,outcome=outcome,parray=parray_1seq,plot_data=True)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Example 2 : Single-sequence multi-qubit data\n", "Single sequence data with two measurement outcomes is (a) often not will be obtained in experiments, and (b) is not sufficient to demonstrate all of the methods contained within the analysis function, or to understand all of the ouput. Hence, we now consider an example with a single-sequence and 4 measurement outcomes, which could represent a two-qubit single-sequence experiment.\n", "\n", "Let us consider the case of 4 possible measurement outcomes:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# We only explicitly name them for labelling purposes.\n", "outcomes = ['00','01','10','11']" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This could correspond to computational basis measurements of two qubits. Now let us assume that the drifting $p(t)$ for obtaining each measurement outcome factorizes into probabilities for outcomes 0 and 1 for each qubit (e.g., because it is parallel single-qubit experiments and there is no crosstalk). Specifically, take the first qubit to have drifting probability for outcome 0 of\n", "$$ p_{0}(t) = 0.5+0.05 \\cos(0.08t),$$\n", "and the second qubit to have drifting probability for outcome 0 of\n", "$$ p_{0}(t) = 0.5+0.05 \\cos(0.2t),$$\n", "with $t \\in [0,1,\\dots, T]$.\n", "\n", "Let's create some data from these drifting probabilities" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "N = 10 # Counts per timestep\n", "T = 1000 # Number of timesteps\n", "\n", "# The drifting probabilities for the 4 outcomes\n", "def pt00(t): return (0.5+0.07*np.cos(0.08*t))*(0.5+0.08*np.cos(0.2*t))\n", "def pt01(t): return (0.5+0.07*np.cos(0.08*t))*(0.5-0.08*np.cos(0.2*t))\n", "def pt10(t): return (0.5-0.07*np.cos(0.08*t))*(0.5+0.08*np.cos(0.2*t))\n", "def pt11(t): return (0.5-0.07*np.cos(0.08*t))*(0.5-0.08*np.cos(0.2*t))\n", "\n", "# Because of the type of input (>2 measurement outcomes), we must record the\n", "# data in a 4D array (even though some of the dimensions are trivial)\n", "data_multiqubit = np.zeros((1,1,4,T),float)\n", "\n", "# Generate data from these p(t)\n", "for t in range(0,T):\n", " data_multiqubit[0,0,:,t] = multinomial(N,[pt00(t),pt01(t),pt10(t),pt11(t)])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#### Example 2.1 : A simple analysis of the full dataset\n", "The simplest way to analyze this data is just to hand it to the drift characterization method, as before (note that now we don't need to specify the counts number, as the input is a 4D array). We do this below." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "results_multiqubit_full = drift.do_basic_drift_characterization(data_multiqubit,outcomes=outcomes,confidence=0.99)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "By looking at the global power spectrum, we can clearly see that there is drift." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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6OmvWrAFgx44dXHjhhaSnp5ORkcGzzz5b5nL8pk+fTvv27cnIyGDUqFFAyYzL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\nKYF8hWCVbwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_full.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As always, we can also return the frequencies, found from inspecting the global power spectrum. As we have not specified a timestep, these are integers between $1$ and $T-1$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[25 26 64]\n" ] } ], "source": [ "print(results_multiqubit_full.global_drift_frequencies)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Because there are multiple measurement outcomes, we can look at the power spectra for each of these, and also we can look at the drift frequencies found from just analyzing this spectrum. One example of such a power spectrum is given below" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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5fvw4GRkZNHInJt6+fTtXX301rVq1omPHjmzatAmA4cOHc+edd9KuXTseeuih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\nT5IkSZIGzNAnSZIkSQNm6JMkSZKkAfsvA9LnozGNiywAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "outcome = 0 # the outcome index associated with the '00' outcome\n", "results_multiqubit_full.plot_power_spectrum(sequence=0,entity=0,outcome=outcome)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The drift frequencies found via an independent analysis of each of these spectra. Generally, these need not contain the same frequencies as the global analysis. In this example, because all of the frequencies appear in all of the spectra, the global analysis is more sensitive (reduced noise without reducing signal strength). " ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[]\n", "[]\n", "[26 64]\n", "[64]\n" ] } ], "source": [ "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,0])\n", "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,1])\n", "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,2])\n", "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,3])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As always, we can also look at the reconstruction for a given drifting probability. An example is shown below, where again we construct the true underlying probability with which to compare it." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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mzJjBL3/5y4zymT59Ovfddx9jx45l9OjRVFRUNH/nteyf/exnnH766cRiMYLB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\nd+GFX44fT20yydVlDMSyTDj+eL579tlMGdD0u0uxQICTzz6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FLVT5ZwUCPG0YfJZKMciD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Creates an array of the true probability.\n", "parray_multiqubit_full = np.zeros((1,1,4,T),float)\n", "parray_multiqubit_full[0,0,0,:] = np.array([pt00(t) for t in range(0,T)])\n", "parray_multiqubit_full[0,0,1,:] = np.array([pt01(t) for t in range(0,T)])\n", "parray_multiqubit_full[0,0,2,:] = np.array([pt10(t) for t in range(0,T)])\n", "parray_multiqubit_full[0,0,3,:] = np.array([pt11(t) for t in range(0,T)])\n", "\n", "results_multiqubit_full.plot_estimated_probability(sequence=0,outcome=1, plot_data=True,\n", " parray=parray_multiqubit_full)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#### Example 2.2 : Marginalizing over qubits\n", "\n", "The above analysis looks for drift in the $2^2$ measurements outcomes of a two-qubit circuit. This would be problematic for many qubits, as for $Q$ qubits there is $2^Q$ possible measurement outcomes, and the probability of any one outcome being observed will - for many circuits - converge to zero as $Q$ increases. Then, even for very large $T$, there could be, e.g., at most 2 counts for any one measurement outcome, and the power spectra obtained will be useless.\n", "\n", "However, it is likely in many circumstances that any drift will show up in the marginalized probabilities for obtaining 0 or 1 of each qubit. E.g., in the example above this is precisely what is drifting. We can implement an analysis like this by specifying that the analysis function marginalizes.\n", "\n", "To do this in an automated way, we specify ` marginalize = 'std'`. This then assumes that the data is such that the 0th indexed outcomes is the bitstring 0...0000, the 1st indexed outcome is the bitstring 0...0001, etc. It then associates the first qubit with entity 0 (where first qubit has its measurement outcome recorded as the first bit in the string), the second qubit with entity 1 and so on.\n", "\n", "Note that, when using this method, the input data array grows exponentially in the number of qubits. As such, pre-marginalizing will be preferable for a large number of qubits, in which case the data for different qubits should be stored with different \"entity\" indices.\n", "\n", "Below we demonstrate this method on the same data as analyzed above" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "results_multiqubit_marg = drift.do_basic_drift_characterization(data_multiqubit, outcomes=outcomes, \n", " marginalize = 'std', confidence=0.99)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As we can see from the returned data shape, the data has been split into separate sets for 2 different entities, each have two possible measurement outcomes." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(1, 2, 2, 1000)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.shape(results_multiqubit_marg.data)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As always, we can plot the global power spectrum (averaged over everything, including entity, i.e., qubit)." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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iIlJSH330Eeeccw6tWrWidu3ajBw5kkWLFhVabuPGjfTv3x+ACy64IG+ZjRs3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\n0rXzz6e6NpVcufTMLbdo3a4dybwrX11hXHpp6numTNH6r3+t3TeNx7V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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_marg.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "However, now we can look at the power spectrum for each individual qubit. This then shows us that each qubit has a different drift frequency. Something that was not obvious from the analysis implemented without marginalization. Moreover, these spectra show higher peaks (they are approximately twice as high), because -- earlier -- when we constructed the global power spectrum we were averaging pure noise with \"signal\" at both drift frequencies." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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LWLduHdHR0QCcPHmSBg0aUL9+fZo1a8ZXX31F8+bN2bx5M+3bt2fGjBl+yxtz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\nyrhx44iOjvbeU+pPy5YtSU1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eCWV8FdUuRWnZsiVpaWnepC8zM5PvvvuOnJwcdu3aRadO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\nSaQ6OizKf7dA1g88MLk95vJlwYKktDDRe8RhbFxJkweMMccBfwCKgXu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_marg.plot_power_spectrum(sequence=0,entity=1)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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9y1WVhQsX0rx581zlJ06cSL169fjmm2/Izs6mRo0a3nXVq1f3vg8ICODs2bN+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\nKIqiKIVIR3D6PsZaa4G0r0Y3xpxrjHnFGPPKxo0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2uUaPHgPvn3wg1BbD9LUw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_marg.plot_power_spectrum(sequence=0,entity=0)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "With this analysis we can isolate the drift frequencies of each qubit" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[25 26]\n", "[63 64]\n" ] } ], "source": [ "# Drift frequencies for the first qubit\n", "print(results_multiqubit_marg.pe_drift_frequencies[0])\n", "# Drift frequencies for the second qubit\n", "print(results_multiqubit_marg.pe_drift_frequencies[1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Finally, we can again plot the estimated drift probabilities. Again, these are more informative that what was obtained without marginalization. In particular, the oscillations are noticably stronger, as they are each the sum of two of the drifting probabilities from the \"raw\" unmarginalized case." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Pn4T3JvpmIjLPOTesunSZCahhGIZhGIZhGEY989NPP9G7d++k14cMGcJhhx1W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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Creates an array of the true probability.\n", "parray_multiqubit_marg = np.zeros((1,2,2,T),float)\n", "parray_multiqubit_marg[0,0,0,:] = np.array([pt00(t)+pt01(t) for t in range(0,T)])\n", "parray_multiqubit_marg[0,0,1,:] = np.array([pt10(t)+pt11(t) for t in range(0,T)])\n", "parray_multiqubit_marg[0,1,0,:] = np.array([pt00(t)+pt10(t) for t in range(0,T)])\n", "parray_multiqubit_marg[0,1,1,:] = np.array([pt01(t)+pt11(t) for t in range(0,T)])\n", "\n", "results_multiqubit_marg.plot_estimated_probability(sequence=0,entity=0,outcome=0,parray=parray_multiqubit_marg)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#### Example 2.3 : Marginalizing over qubits loses information and can miss detectable drift\n", "Marginalizing involves throwing away information about correlations between measurement outcomes. As such, it is insensitive to certain types of drift. In particular, if only the correlations between measurement outcomes are drifting. This is perhaps a rather contrived situation, but it is possible. For example, consider the drifting probabilities:\n", "$$ p_{00}(t) = 0.25-0.05 \\cos(0.05*t) $$\n", "$$ p_{01}(t) = 0.25+0.05 \\cos(0.05*t) $$\n", "$$ p_{10}(t) = 0.25+0.05 \\cos(0.05*t) $$\n", "$$ p_{11}(t) = 0.25-0.05 \\cos(0.05*t) $$\n", "In this case, as demonstrated below, the analysis of the full data clearly demonstrates drift, yet the analysis of the marginalized data does not." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "N = 10 # Counts per timestep\n", "T = 1000 # Number of timesteps\n", "\n", "outcomes = ['00','01','10','11']\n", "\n", "def pt_correlated00(t): return 0.25-0.05*np.cos(0.05*t)\n", "def pt_correlated01(t): return 0.25+0.05*np.cos(0.05*t)\n", "def pt_correlated10(t): return 0.25+0.05*np.cos(0.05*t)\n", "def pt_correlated11(t): return 0.25-0.05*np.cos(0.05*t)\n", "\n", "data_1seq_multiqubit = np.zeros((1,1,4,T),float)\n", "for t in range(0,T):\n", " pvec = [pt_correlated00(t),pt_correlated01(t),pt_correlated10(t),pt_correlated11(t)]\n", " data_1seq_multiqubit[0,0,:,t] = multinomial(N,pvec)\n", " \n", "results_correlatedrift_marg = drift.do_basic_drift_characterization(data_1seq_multiqubit,\n", " outcomes=outcomes, marginalize = 'std')\n", "\n", "results_correlatedrift_full = drift.do_basic_drift_characterization(data_1seq_multiqubit, \n", " outcomes=outcomes, marginalize = 'none')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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fDz/8UN944426vLxcl5WV6UGDBulPPvmkyvrXqVNXf/GFee9rGb17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\nCRqmOP9ChrRvftO+v/ZiGWO9oMYITS9bFlY8CO0d8hW6OXOEdy1eLN6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jd95p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\ngaKYPtXjdcwxNqQmj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_correlatedrift_marg.plot_power_spectrum()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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MjAzatWvHoEGD2Lp1KwCNGjVi1KhRtGvXjpSUFJYtC64U2rp1KxdffDEpKSmk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\nAmNuDnlv5ZQXWL1/KfYKBehclx97W6Rj74znYGx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_correlatedrift_full.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "What this demonstrates is that it is important to carefully decide how to analyze data from a given experiment, with physical motivations for the analysis used." ] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 2 }