From 4f11eef4fde2c0e5f8b44dc11eab3b0634e579e5 Mon Sep 17 00:00:00 2001 From: dekelmeirom <33314493+dekelmeirom@users.noreply.github.com> Date: Mon, 19 Jul 2021 16:58:13 +0300 Subject: [PATCH] QV experiment (#32) Co-authored-by: Gadi Aleksandrowicz --- docs/tutorials/qv_example.ipynb | 378 ++++++++++++++++++ qiskit_experiments/__init__.py | 1 + qiskit_experiments/quantum_volume/__init__.py | 15 + .../quantum_volume/qv_analysis.py | 266 ++++++++++++ .../quantum_volume/qv_experiment.py | 131 ++++++ test/quantum_volume/__init__.py | 0 test/quantum_volume/qv_data_70_trials.json | 1 + test/quantum_volume/qv_data_high_noise.json | 1 + .../qv_data_moderate_noise_100_trials.json | 1 + .../qv_data_moderate_noise_300_trials.json | 1 + test/quantum_volume/qv_generate_data.py | 214 ++++++++++ .../qv_ideal_probabilities.json | 1 + .../qv_result_moderate_noise_300_trials.json | 1 + test/quantum_volume/test_qv.py | 223 +++++++++++ 14 files changed, 1234 insertions(+) create mode 100644 docs/tutorials/qv_example.ipynb create mode 100644 qiskit_experiments/quantum_volume/__init__.py create mode 100644 qiskit_experiments/quantum_volume/qv_analysis.py create mode 100644 qiskit_experiments/quantum_volume/qv_experiment.py create mode 100644 test/quantum_volume/__init__.py create mode 100644 test/quantum_volume/qv_data_70_trials.json create mode 100644 test/quantum_volume/qv_data_high_noise.json create mode 100644 test/quantum_volume/qv_data_moderate_noise_100_trials.json create mode 100644 test/quantum_volume/qv_data_moderate_noise_300_trials.json create mode 100644 test/quantum_volume/qv_generate_data.py create mode 100644 test/quantum_volume/qv_ideal_probabilities.json create mode 100644 test/quantum_volume/qv_result_moderate_noise_300_trials.json create mode 100644 test/quantum_volume/test_qv.py diff --git a/docs/tutorials/qv_example.ipynb b/docs/tutorials/qv_example.ipynb new file mode 100644 index 0000000000..c198dbc354 --- /dev/null +++ b/docs/tutorials/qv_example.ipynb @@ -0,0 +1,378 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8017bf80", + "metadata": {}, + "source": [ + "# Quantum Volume Demo" + ] + }, + { + "cell_type": "markdown", + "id": "2781de05", + "metadata": {}, + "source": [ + "Show some basic functionality of the quantum volume experiment." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "e3e7791d", + "metadata": {}, + "outputs": [], + "source": [ + "import qiskit_experiments as qe\n", + "from qiskit import Aer\n", + "from qiskit.providers.aer import AerSimulator\n", + "\n", + "# For simulation\n", + "from qiskit.test.mock import FakeSydney\n", + "backend = AerSimulator.from_backend(FakeSydney())" + ] + }, + { + "cell_type": "markdown", + "id": "0c279b08", + "metadata": {}, + "source": [ + "## Run QV experiment" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ac7b11fc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---------------------------------------------------\n", + "Experiment: QuantumVolume\n", + "Experiment ID: 9d91d7cc-fc21-48bb-a3bf-57c8735f43a7\n", + "Status: DONE\n", + "Circuits: 100\n", + "Analysis Results: 1\n", + "---------------------------------------------------\n", + "Last Analysis Result\n", + "- quantum volume: 1\n", + "- qv success: False\n", + "- confidence: 0.9671702090007046\n", + "- heavy output probability: [0.798828125, 0.7236328125, 0.7626953125, 0.7587890625, 0.7412109375, 0.6845703125, 0.765625, 0.7314453125, 0.7353515625, 0.7177734375, 0.6669921875, 0.8154296875, 0.7421875, 0.716796875, 0.7119140625, 0.6748046875, 0.708984375, 0.7998046875, 0.724609375, 0.70703125, 0.681640625, 0.705078125, 0.638671875, 0.8369140625, 0.8359375, 0.7587890625, 0.798828125, 0.8935546875, 0.7373046875, 0.6416015625, 0.751953125, 0.7177734375, 0.75, 0.7412109375, 0.728515625, 0.74609375, 0.921875, 0.8017578125, 0.759765625, 0.689453125, 0.64453125, 0.8154296875, 0.7705078125, 0.763671875, 0.81640625, 0.6640625, 0.7373046875, 0.71875, 0.6943359375, 0.7216796875, 0.765625, 0.7451171875, 0.724609375, 0.7333984375, 0.716796875, 0.826171875, 0.7021484375, 0.6953125, 0.7490234375, 0.7939453125, 0.7265625, 0.7041015625, 0.705078125, 0.70703125, 0.69921875, 0.7421875, 0.734375, 0.900390625, 0.7802734375, 0.7021484375, 0.771484375, 0.79296875, 0.7978515625, 0.75390625, 0.7265625, 0.751953125, 0.708984375, 0.7109375, 0.7451171875, 0.7177734375, 0.72265625, 0.8125, 0.6884765625, 0.689453125, 0.8095703125, 0.67578125, 0.84375, 0.65234375, 0.7978515625, 0.775390625, 0.8427734375, 0.734375, 0.7373046875, 0.80859375, 0.7001953125, 0.771484375, 0.740234375, 0.7529296875, 0.7705078125, 0.8427734375]\n", + "- mean hop: 0.74671875\n", + "- sigma: 0.043489062808761185\n", + "- depth: 4\n", + "- trials: 100\n", + "- success: True\n" + ] + }, + { + "data": { + "image/png": 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MAwgPPpgBdFXVzS0rjREUEXkKN8Lw9JaWxTD8iMhM3AjUq+K9t7FNDw8CPwAGSO25QIZhGIaRcjR6NJmqvqCqd8bT1CIix4vIK+LW1lQRuTjAPYeJyNvi1pv8SkRuiWgiMwzDMIx6iXcUZFMpwvXVPcOe0Xgx8UalvYkbpXYEbiTnk7hh6PckT0wjEajqTOoOnzZSHFW9uKVlMIxoqOqoxt7bqD67RCBuIuJVqvpUPX4ux42W6xayIEXkJtz6h720pYQ3DMMwWhXNbdnFyzHAOxFNpW/glqbqw57J7ACI21ZnPECbNm2G7rtv3VkHWVlZfv+1zlWVVGsh9etz/3lNTU0073FTU1NTK08yhUxMdyamGTIz3U1J8/LlyzeratcEi9TipLqy2wc3pN/PBt+1WspOVSfhVvZn2LBhOn/+/DoBbtiwZ0T57t17FuWoqKigvLyc/Px8qqv3LFTRXMajX8lmZ++Z85mXt2fxg7Zt24bPu3XrlpB4Z86cyahRoxISVmsiE9OdiWmGzEx3U9IsInUWGU8HUl3ZZQx+pepXthUV0Zcd9SvtRCk+wzCMdCXVbfv1uGWu/HTzXTMMwzCMBkl1ZTcXtwRTgc9tDG7Vj9UtIpFhGIbR6mhWZSciRSJSLCLFXty9vf+9vet3ioh/u43ncOtLPiUiA701GX8F3GsjMQ3DMIygNHef3TBq7w11m3c8jdvTqju190rb7i1C+xBug9JtuPl19zaTvC1CU/rvwPrwDMMwImlWZdfQJONok1lVdQluoV7DMAzDaBSp3mdnGIZhGE3GlJ1hGIaR9tg8uxQn3v47sDl4hmEYkZhlZxiGYaQ9puwMwzCMtMeaMVsR1qRpGIbROMyyMwzDMNIeU3aGYRhG2mPKzjAMw0h7rM+ulRKr/w5sWyDDMIxIzLIzDMMw0h6z7NKAyA0g4lk8urCwMHmCGYZhpAhm2RmGYRhpj1l2aUg88/Fyc3OtL88wjLQnkGUnIqYUDcMwjFZLUCW2TkSeBh5X1WXJFMhILA1ZeVlZWezevTvsblaeYRjpSNA+u98Aw4GPRGSuiPxYRIqSKJdhGIZhJIxAyk5VH1XV4cBA4L/ABJy194SIjEimgEbiUNXwUV1dTXV1NSJCRUVF+Ni9e3f42LBhQ/gwDMNozcQ1GlNVl6nqDUAvnLV3ATBLRD4RkZ+KiI3uNAzDMFKOuAaeiEgecDbwI+AEnJX3ONADuBkYBZyXWBGNZBDqyxORuOblgfXlGYbR+gik7ERkCE7BnQ9UAs8AV6nqcp+f14D5yRDSMIKwdu1apk6dytixY+nVq1dLi2MYRgoRtNlxHnAAMB7opao3+hWdx2pgcgJlM5qJaH151dXVra4vb+rUqbV+DcMwQgRVdvur6qmq+k9VrYrmQVV3q+olCZTNMOJi7NixtX4NwzBCBFV2M0Skc6SjiHQQkc8TLJNhNIpevXoxfvx4a8I0DKMOQQeo9AGyo7jnAz0TJo3R4vgnoVdVVUU9Ly0tDZ9v27YtfJ6Xlxc+b9u2bfjcBrQYhtHS1KvsRORs39/TRGS77382cCKury4wInIFcAPQHfgY+IWqvlOP/yuBq3AK9wvg96r6TDxxGokllkKMNarTv0IL1FaEfkwpGoaRLBqy7KZ4v4qbYuCnEqforgsamYicC9wPXIGbtnAF8LqI9FfVL6L4vxz4I3Ap8B5wJPCoiGxT1VeDxms0D0GUINRWhH5r0KY3GIaRLOrts1PVLFXNwllUe4f+e0e+qh6iqq/FEd+1wFPeiizLVPVnwDrg8hj+fwA8qqp/V9XPVXUyMAn4ZRxxGobRDKxdu5ZJkyaxdu3alhbFMOoQdLmwvqq6uSkReRPShwLTIi5Nw627GY18oCzCrRQ4UkRymyKP0Xz4pza09ukNRmxs6oeRykjkLtfhCyLXAg+rapl3HhNVvbfBiER6AF8BI1V1ls/9FuBCVT0kyj13AD8GTsdNWB8KvAZ0A3qo6roI/+NxcwHp1q3b0MmT60778+/MnZu7R19mZWWhqogIIuIPs6GkGU3A//75z2tqasLnlZWV4fOSkpKExLtr1y6KijJrLfNkp3nHjh2sWLGCgw46iL322itp8cSLPev4GD169AJVHZZgkVqc+vrsfgY8jbOsflaPPwUaVHaN5HfAPsAcQIANnkw3AjWRnlV1Eq6Zk2HDhumoUaPqBOi3FPwDJyoqKigvLyc/P79WH1OsykC6EFLwyWLr1q0sWrSIwYMH06lTpzrXY1UssrP3DP5t3759+DxRozxnzpxJtPcjncnENENmpjsT09wQMZWdqvaNdt4ENgPVOKvMTzdgfQwZSoEfichlnr91OMttJ7ApATIZSWbRokXh3xNPPLFev/HssA42oMUwjOA02y4FqloBLADGRFwag7Pc6ru3UlXXqmo1bqHp11S1jmVnpB6DBw+u9RsU6+MzDCORxLTsGuqn8xOkz87jXuBZEXkfmA38FLdjwiNenM944V3k/T8YOAp4F+iIG805EPhhUNmMlqVTp04NWnQNEWSiu78vb9OmPUZ/fU2jn3/uFv+xCfCGkf401GcXhMB9dqr6vLfs2E24SeUfAWNVdY3npXfELdk4BXcIbl7fDGC4qq4OKJthGIZhBOuzSySq+jDwcIxroyL+LwPia/8yDB+x+gGzsrKi9gVGNoOapWcY6UFcm7caRmvGr/iysrLCzaCx1v0EW/vTMNKFhvrsEjbPzjBaA5FTTeJd+9OUoGGkJqk+z84wUoamLIBtStAwWpbmnGdnGGmJzQ80jNTH+uwMI4GY9WcYqUlgZSciZ+KmAfT3nJYB96rqv5Igl2GkFaYEDaNlCaTsROQ64A7gGeApz/kY4DkRuVlVJyZHPMNIbxK5Ea4pQsOITVDL7nrgKlV91Of2hLcSyu2AKTvDSCBBVo2B2lMlGpom4d/xwzAyjaDKrgi3ekkkM7xrhmG0AEGUYkghFhQU8Mknn4Tdbd6gkUkEVXYvAeOAP0S4nwO8kkiBDMNILCGFKCLWX2hkLEEXgl4J/EpERgNzPbejvcPm2BlGK8QGzRiZRDwLQW8DDvYOv9vFuH47wzDSgKbsMhFJrF0nrAnVaG6afSFowzAyh0QpzlRSmmvXrmXq1KmMHTuWXr16Jdx/IuRbsGABBx54YLPE11pots1bDcMwGot/M9+qqqrwUVJSEj42b94cPj755JPwEdq78PPPP0/IJr9Tp06t9Zto/02lueNrLcQzqfxg3CCV3kCe/5qq/ijBchkpyNatW1m0aBGDBw+mU6dOLS2OYdQilhWZk5MTth79VuTmzZtr3R/UYhw7dmzYUgtCvP6bytixY3n++eebLb7WgkSu8h7Vk8hpwD+BRcBQYB5wAJAPvKOq306mkI1h2LBhOn/+/Dru/hqdv8O9oqKC8vJy8vPza3XQB8mf1oyq1moiqo/p06eHzwcPHtyqFV886U4XMjHNkNh0RzanhsqKIIoyCIlqfp05cyajRo1q1L0iskBVhyVEkBQiqGV3O3Cbqt4pIjuBHwBfA8+yZ3Smkeb4FdyiRYsAWLRoESeeeGILS2YYzUOQPshY/ZFBSNRgH1tAoC5Bld0hwPPeeSVQ6O1zdzvwb2z6QUbQqVOnsGLzKz7DMJKPLSDQNIIOUNkJFHjn64ADvfMcoGOihTJSn5Dia41NmOnA1q1bmT59Olu3bm1pUQyjVRBU2b0HHOud/xu4R0R+CzyJNWMaRrPjb0Y2DKNhgiq7a4F3vfNbgWm4pcJWAj9JvFiGYdRHqPnYmpENIxiB+uxU9XPfeQlwedIkMgyjQfz9p4ZhNExck8pF5AQRuco7TkiWUIb1ybQEQfLcnothtE4CKTsR6SsiC3HNlzd6xzQRWSQi+ydTwEzF+mSanyB5bs8lPbBKS+YR1LJ7HDcic39V7a2qvYH9gW+Ax5IkW0ZjfTLNT5A8t+eSHgSptJhCTC+CKrtjgKtV9YuQg3d+jXctMCJyhYisEpEyEVkgIsc14P8CEVksIiUisl5E/ioi+8QTZ2vEhvY3P0Hy3J5LehCk0tLcVrwp1+QSVNl9AbSJ4l4AfBk0MhE5F7gfuAMYDMwBXheR3jH8j8Ct0vI0MAA4E+gP/C1onIZhGJEEqbQ0txVvTeTJJaiyuw54QESOFpFsEckSkaOB+7xrQbkWeEpVH1XVZar6M9wk9VijO48B1qrqn1R1laq+C/wZOCqOOI0MxGrJRlNpbivemsiTS0xlJyI7RWSHiOwAngOKgdlAGVDunQ8hoJUlInm4RaSnRVyaBgyPcdtsoLuInCGOLsB5QNL2rsjevJmsO+9kxiuvsGXLlmRF06w0d8GfCorGasmti1R4Z5pKU9NgTeTJpb55dlclOK4uQDYQuZHUBuBb0W5Q1bkich5OobbByfsm8MNo/kVkPDAe3JpvM2fOrOPHv0Bqbm5u+DwrKwtVpTQnh3fbtiVr1y4WLVrECSe0/hkW/oI/WnoSvbNDQ/E1B8XFxSxevJji4uKY6Uv3HS2ikappTvY70xzpToX3vqamJnxeXl4ePg+tmQm1tzZatmxZ8wiWAgTa4ichEYn0AL4CRqrqLJ/7LcCFqnpIlHv645TbfcAbQHfgbmCxql5UX3xN2eInd/x43hw6lP5nnZUWtaz69qFLxrYvrWHfu0zb7iYVn4lfJiBp8jXXs06FPA6ls7q6utbiz/EsBJ2uW/wEVnYikg9ciBsgosDHwN9VtbzeG/fcnweUAOer6j987g8BA1V1ZJR7ngWKVPUsn9uxwDvAvqq6NlZ8TVF2XSdMoOOLL7Jszhw0J/D+tq2STCv0Q2Rauv17EabKyivNJVMmPWtTdrEJOqm8P7ACt5XPUUBocMpyEekXJAxVrQAWAGMiLo3BjcqMRiFQHeEW+h/X6i/xUFJcTFZpKQXLlycrCsNoVlJx8EMqymSkL0EVxv24Xcp7q+pxqnoc0Bv4AKf0gnIvcLGI/ERE+onI/UAP4BEAEXlGRJ7x+X8V+I6IXC4i+3tTER4AFvrn/CWakuJiAAoXL05WFIbRrHTq1IkTTjghZZowwQZkGM1L0Da6EcARqroj5KCqO0Tkf9izG0KDqOrzItIZuAnX//YRMFZV13heekf4f0pE2uEGy9wDbAfeAn4ZNM7GUNW9O5XdulG4eDFbLrggmVEZhmEYzUBQZVcGdIji3t67FhhVfRh4OMa1UVHc/oybW9eslBQX0+aDD5o7WsNIC1JhsIZh+AnajPkq8KiIjPAmlWd7A0X+ArySPPFajpLiYvK+/pqcDZEzJQzDaAib52ikGkGV3c9xA1TewVlyZcDbwHLgF0mRrIUJ99uZdWcYcZPpg0/SYZJ8utGgshORLNwgkguBg4GzveMQVT1LVbcnV8SWoezQQ6kpKLBBKhmKFVZNI9bgk0zJ10RatvHss5guqz4lgyCWnQKLgX1UdaWqvuodK5MrWguTm0vpwIFm2WUo1gyXHDIlXxNp2cazz+Jiq5zHpEFlp27W+adA1+SLk1qUHH44BUuXImVxjcEJkym12HQk2c1wmfpuZErzZiKnVcSzz2Kx1/1i1CVon92NwEQRKZZMWYoAKC0uJquqirbvv0/el1+ya8ECZkydyjdffAEBVp7JlFpsOuIvrJKhmDL13bC5dfETzz6LnTt3bkbJWhdBld0LwJG4FVDKQrsh+HZFSEtKDj8cgD5XXsnBY8fy4Zw55H/2GUtffpkBQ4bQ5yc/oWjOnJiKL1NqsalOU5VVMhSTvRuG0bwEWhtTRC7G9d1FRVWfTqBMCaEpa2NWV+9ZoazdG2+Qs2kTNe3asT4/n3d37+a40lKyt25ldk4Op738Mp332ov111/P7iOPTG6ikkCi1g1M5XlV0dZgjCfdqZy2eMikNSL9ZFK6bW3M2ARVdvlAjqrubtBzipAoZRcrf6ZPn46okr19O5c+9hjZ27ax8p//pLJnzwSmIvkkqiBIxYWGQ0RTVplUAIZoLWlOdOWitaQ7EZiyi029zZgi0kVE/g3sAnaIyBwR2b95REttBg8ejIpw2OjRrHrsMRCh129+A9WR61ZnBk1plkv2YA3rJ2pdxGo2ztRBPbGw/IiPhvrs7sTtLv5b4AbcBqx/SbZQrQF/AVrZsydf/+Y3tF24kC5PPhn2k7V9O7lr1wYazNLaaYpCaVWFW1UV+DbITGVSMv8CEKvilKmDemJh+REfDa2NeTLwI1WdCiAiU4GPRCRXVSuTLl0rYvvpp9Nu1iy6PfQQmptL23nzKJo9m6yqKiq7dKFk6FBKBg2iondvd/TqhfqaFjKZwYMH19rEM4T/Y47VNOpv8upcVETbd9+lYPlyClasIO+LL8gqKSGrrAypqqJi330pO/BAyg86iJ1HHEFl377ga97K3rqVnE2byNmxg+zt28natcvdX1JC/po1FHz6KfkrV6J5eZQOHEjpwIFU7LsvmpuL5uRQU1BAdbt2VO+1F9WdOlHVuTNkJW0nqgYJkn8tjipZJSXkbN1K1u7dUF1Nz+pqeu69NzWbNqHbt0NODlRXc+TeezN/7VqGHHwwUlKCtmlT6/mlJJWV5K1fT3ZosndODpqVBdnZqAiokr1jBznbtpG9Ywc1+fnUFBVRU1QE1dVklZcjoR3HRdCsLEQVqqs5tqqKd8vLGa5Kp+eeI+ebb8hdt47c9eup2GcfNt55Z8ulOwWpt89ORKpwm6Su87mVAP18OxWkJMnus4tG1vbtHHTOOeRu2EBlt258c+qpVPbqReHChbSdP5/cjRvDfmvy89l1zDHsOOEEdo4eTXWHDnUDrKxEamqcZZiVlRTlmMz+jLbvvku3++4je+dONC+Pmvx8SoYOZeu4cVT07dvg/UH6bkJ9hdk7d3LppEnkf/klABX77ENF375UFxVR06YNAPlr1pD/2Wdk79rl/PTqxa6jjyZnyxbafPxxrecTSVWnTpQdcghlBx+MlJVRuGQJBcuXI1VVMe+pyc2lsnt3qvbe28lRWIjm5TkFuns3WWVloMq6Dh34z6BBnPDpp3SrqEDbtEFzc6nJzXW/hYWuAGzThtyvv6ZgxQryP/sMsrOp6tyZKk+xVnXtSmXXrmh+PtTUsKm6mjk1NYxct45eX31FVmkpmp/vCtTCQqrbt6eqY0eq27evfey1F9VFRZCb2+AzApDKSgoXLaLtvHnkbN5M9s6dZO3ahebnh8OjpiZccQgX7tu2kbNtm8uHRqBZWdS0bevyp00bVISvu3ThzaOO4luLFrFPSUk4vZqfj+bkkP3NN+Ru2kTOli3UFBS49HfoQHXHjlR16EB1+/ZIRQW5mzc7BRXK4y5dkIoK8r78kry1a5HKSip69KCyRw9q2rYle/t2d+zcSVZpKVJWRvaOHeRu2OC+4WZARajq0oXKffZh96BBbLnppvA167NrWNlV41ZO2eRz2wEcrqqrmkG+RtOcys5fKHfbvZucLVsoHTSodq1elext29zH8uWXtPnoI/Z66y3y1q2jpqCAr265he1nnBH22+XJJ9n7wQfJqnQG9NqePfn3WWcxcsMG2u+/PyWHHUZZv35NVoDJUHZZO3awzz330OnFFynv3ZvSgQORigqyd+6k7YIFSFUVu444gvK+fckqLXWFcF5euNDW3FxnjZWXO2Wiyoa8PGZ17syxJSV09Swpqapioypza2o4/YUX6JKfz4af/5zdw4ZRs9desRJM7tq1FM2eTbv//pe28+ZRtffelA4YQGn//lR2716rwK8pLHRKKj+/jhUh5eXkbN3qZKysJKu0lOydO11hvmULuevWucXEN21yhfyuXUhFhVM0bds6pZaVxV9HjHAVGlUu/ve/XdorK91RUUFWSUm4wKzJy6P8gAMoP+AAUCVn61ayt2xxhfO2ba7WH0FNmzZUdu1KTZs2YUsha/dusnfujOo/RHVhYVgJ1LRrF07/uvbtmd6/Pyd8+ik9Nm+mzYcfkl1aimZnh/1WFxWRVV7uFMCOHU4xeXlZvddeLtyOHd2vp7Br2rZFQ5YPkFVR4d6B6mrnlpUVVprZO3e6NOzevafiADx32GFeomv4wezZTvFUVLijspLqDh2o6tKFqs6d3fMLKd1vviH7m2/I3r3bpaNzZ+enqoqcLVvI3rYNzc6mslcv1yqTkxN+vlmlpVR5FYWadu2oadOGmjZtqC4qorJHDyp69qSqa9ewXKF3OlSRrd5rL6o6dqSmfXv3bHbtCsuh+fnU5OaG075l927mrVvHsF696FJU5CpDeXmuMtmuHXjlgQ1QqUtDyq4G+ATwV1/7AyuBipCDqg5KloCNpTmVXaNHIqpSsHQp3SdOpO38+Wz+wQ/YeNll9LztNtq/+SY7Ro0Kz/V7sagIKSsjq7SUyx52OyTV5OZS1q8f35x+OtvOPNM160SjspKsykpn4UQU2IlSdtnffEPb996jaO5c9poxg+xvvmHzD3/IxiuuQAsKAFcpWDxvHiO//ppDX3yR7O3bXQFYUOAKxq1byS4p2SNbdjaakwMiPPbDH4b7PsdPmlQr7qr27dl4+eVs/d73AlsjiVbyTRlB2OC9qkhpKdklJVR16OCa9aJRWUnOli1IZaVrJgtZPkVFrgksMs3V1WTv2OEKea/pNmf7drJ27HD/Q25eExsAIjwzalRYroumT6d04EB2jRjB7iOPpMZXkLYETR15K5WVaHZ23ebnqir37WRn171JtdHNqfG+Nw2VNTYaMzYNKbvfBglEVW9LmEQJoqUsuyAvbB3/lZV0nziRzs89R01BAVJZyfprrmHLRReFPyL/PXtXVlL44Ye0+fBDit57jzbLllHVsSNbLriAHWPGUN67N+TmkrN+PZ0nT6bjlCnkbN9OTW4u1e3bU7nPPpQfeCBlBx5ISf/+lBYXB1YSAFRXs9ebb9Lx5ZddH8HGjWTv3OkutWvHrqOOYtNPfkLZgAG1bgtSKZDSUqS6mpr8/FoyhdN/2GF0KSx0hVJOjjvy8qIXQvWQaGWXylMvQiRjTiWQ8nMQU2nqQeS3H+9701BZY8ouNoHm2bVGWqLPrj78L6l/9JT/Be/w0kt0fu65+Caoq1K4cCFdnniCvWbNApzFV9G7N/mrV4MqO048kdKBA8P9Cnlr15K/ciW5Xqd5dbt27Dz2WHYfeSTlffpQ0bu3a3aJLCCqq2n/xht0/ctfKPj8cyp69aL0kEOo2ntv108wZAilAwfGtDxSaXJ2Kll2zRVuMgr9TFLyiSAyvxL93piyi40pO49kKzv/S+4ffZjIgjFv9WraLFniBjB8/jkVffqw5fzzY050z962jcIFC9hr1iyKZs0KKz+Ayi5d2HLhhWw991xqioooeucd9vnTnyhYuZKyAw9k42WXsWPMmLgtqlQhlQrA+kikMklGmlOpAhOLVHrWyc4vU3axMWXn0ZyWXSoVCuGCoKaG3K++Iv/LL8lbs4Z2M2fSbs4cqouKKO/Th8KPPqK8d282/Oxn7DjppBYdUp+IvEylArA+kmHZpeq7GI1MetaJwJRdbEzZecRSdlu2bGk1BUMQIguP+gqCgqVL6fr44xQsX+6svHPOia9vL0kkwtpJ5QIwWcoolObW0PQYIt2fdaIxZReblquetxLSbZWCeNJT1r8/X95zDytefZWt552XEooOWu+OAUFXNEn2O9ea8i+RsrbWFWWMxBBI2YnI8SJSZ9SBiOSIyPGJFyt1SLdNPFO9oAuSH6m+1mWsNARVYsl+Rqmef36aKuvWrVt56623wtYypE/F1YiPoJbdDCDa29beu5a2JLtgaMwH2BQFmeoFXToUSLHSEFSJxXpGZpnEj/9ZpHpFz0guQZWdEH0/u85Aq9n2JxVpzAeYDgohFulQIMVKQ1MrGun83JOF/1mkekXPSC4NTSp/xTs9DfgPUO67nA0MBJap6ilJk7CRpNpozESSyEm9mdR576c1prupA1daY5qD0FC+pGu6o2EDVGLTkGW3xTsE2Ob7vwVYCzwCfD+eCEXkChFZJSJlIrJARI6rx+9TIqJRjoy2Jv011KZsj+PvzzBSn+a0TFK9ydQvn1m8RhDqVXaqeomqXgLcBvw49N87LlPVO1V1c9DIRORc4H7gDmAwMAd4XUR6x7jl50D3iONz4IWgcaY7Tdn7q1XtI2ckBf+zbk0KxPrijHgJ1GenqrepaiKsqWuBp1T1UVVdpqo/A9YBl8eId7uqrg8dwAHA/sCjCZAlLYhV2w9SANgmmelBUyon/medLAWSjMqT9cUZ8RJ06sESEfkw1hEwjDzcrufTIi5NA4YHlPdS4GNVnRPQf8YSpADo1KkTJ5xwQqMUpZE6NKVy4n/WsRRIU5VVMipP6a7grHUl8QRaQSXK7ge5QDEwAnhIVW+qc1PdMHoAXwEjVXWWz/0W4EJVPaSB+9vjrMBfq+r9MfyMB8YDdOvWbejkyZPr+CksLNyTCN8k6aysrHBHtr8zO1M6to3Wy9atW1m8eDHFxcVJKfzfeuut8PkJJ5wQ9/3Jli8daWye+8tz/3mNbwPZSm+PTIAS35ZaIUaPHp2WA1SatFyYiNwA7KeqVwXw21RldyVwD9BDVRus7qTzaMxEkkkj1fw0V7qbex3K+uJrbJpb01qa0WiN73hj89xGY8amqcuFvQhcGNDvZqAaiMzdbsD6APdfCvwziKIzjFShufs/rckwPbA8TzxNVXbHA3Xt4CioagWwABgTcWkMblRmTETkSOBwbGCKkQCac8pFc/d/Wn9r/MQakWqkF9F32YzAN7k87ISbBjAYNy0hKPcCz4rI+8Bs4KdAD9x8PUTkGQBVvSjivvHAClWdGUdcLUJrb/LJBPzWT7JX/Q/V0JuL5o4vHYhmDTfHu2E0L0Etuy0Rx0bciiqnqurtQSNT1eeBXwA3AYuBY4GxqrrG89LbO8KISDvgPOCxoPG0JDZsP/Ux68fwE2tEqpFe2H52HokaoNLaLLvWuKFnImiNgxaaSiamGTIr3TZAJTZx9dmJyAEicrp3HJAsoVozrbVj2SxSwzDSmaCTyjuLyEvACuAl71guIi+LSOekSWfERVM61635xjBiYwNXWj9BLbvHgAOB44AC7zge6IuNkEwZmmKdtVaL1DCaA2v5aP0EVXYnA5eq6mxVrfKO2cBl3jUjBTDrzDCSg31brZ9AUw+ATUTfpLUENzrTSABNHSRiw84NIznYt5UGqGqDB/Bj4C2gp8+tJ276wU+ChNHcR/fu3RW3u7oCOn/+fJ0/f34tt6uvvlo/++wz3XvvvcNu/fv3148++kjHjRtXy+/06dP1z3/+cy23W265RZcsWVLLbeTIkbpkyRIdOXJkLfclS5boLbfcUsvtz3/+s06fPj38f/z48XrjjTfqfffdp/369Qu7d+3aVZcsWaKXX355rfsnT56skydPruV2+eWX65IlS7Rr165ht379+umSJUv0nHPOqZOmBx54IKlpAvScc87RJUuWNFuagjyn448/vslpevvtt/Xqq6/Wnj17pkSa0vE5JSJNH374YdqlKehzmjJlik6ZMqWW23XXXafr16/Xbt26hd2GDBmiqqqXXnqpAvNbuvxOxhF0IeglQB9cX91XnnNPoAxY5ferqoMaDLAZaI1rY7bE8P9MGpbtJxHpnj59evi8NdT67VmnPzb1IDZBmzH/iasBGEnEmkpaF4MHD66195thtAR+RZ6dnQ1AVVVVXAouEwik7FT11iTLYRitDqucGMkk0hoNKTJo2FKbOXMmhx9+eJIlbF0EXRvzc+AIVd0S4d4BWKiq+ydBNsMwjJSmoa6HaFYXxNesaCSGoM2YfYDsKO75QK+ESWMYhtGKCM27W7x4cdjKN6WWmtSr7ETkbN/f00Rku+9/NnAiEQNUDMMwWiONscI6dOjA1KlTGTt2LL16Wb0/lWnIspvi/SrweMS1SmA1cF2CZTKMZiPTFsBON4IoqM2bN7PffvsBibeoevXqxfjx4xMappEc6lV2qpoFICKrcH12m5tFKiPtSRUl05x72xl7aM6+rC+++MKaDY1gy4Wpal9TdJlJshbATZW1Bm0ZqOZDRMJHdnZ2+MjLywsfbdu2DR/dunULH4bRVIKOxry2vuuqem9ixDFSjWRZPqkyR82mDzSdWFYa2AANI3UIOhrzZxH/c4HuQClu13JTdmlKspSSKZnWTZBmSDAFZ6QOQSeV9410E5FuwJPYFj9pjSml9MXmgBmZRFDLrg6qukFE/gd4AfhX4kQyDKOpRFNk5eXltGvXLuxuiszIJBqt7DyyAPtKDCOJJKpPzJaQMjKZoANUzo50wvXZXQm8k2ihDCMTibdZEcwiM4ygBLXspkT8V9yGrm9hk8oNo0Gsf8wwWpagA1QCzcczjEzBlJdhtC6a2mdnGGmNKTXDSA8aVHYikgP8HLgAOMRzXg78FXhAVauSJ55hJB+bFG0Y6U+9zZMikg9MB+4CtgCPecdm4G7gTRHJix1C1DCvEJFVIlImIgtE5LgG/OeJyO3ePeUi8oWIXB1PnIYRiao2uHSVLV9lGOlDQ5bdL4EDgGGqWmsRQxEZArzs+fldkMhE5FzgfuAK4L/e7+si0l9Vv4hx22TcnnnjgRW4qQ5tgsRnZCYhSy2k0EL4rbbS0lKKioqAuiMcDcNIPxpSducD10UqOgBVXSgiNwC/JaCyA64FnlLV0KorPxORU4DLgV9HehaRk3B75h3gW4h6dcC4jAwi3r619evXt/i6nIZhNB8NjbLsC8yp5/ps3C7mDeI1dw4FpkVcmgYMj3HbmcA84FoRWSsiK0TkAREpChKnkd7YKvqGYQSlIctuN9AZ+DLG9c5AScC4uuB2N98Q4b4B+FaMe/YHjgXKgXOADsCfgR7AuEjPIjIe19xJt27dmDlzZp0ACwsLw+e5ubnh86ysLFSV8vLyWlaC/zxdUdWWFqFR1NTUhM+rqvaMkyotLQ2fb968Z2eqZcuWhc937doV9f1IZzIxzZCZ6c7ENDdEQ8ruv8BVwE9iXL8KZ90liyzcBPYLVHU7gIhcBbwhIt1UtZbiVNVJwCSAYcOG6ahRo+oEuGHDnlt2794dPq+oqKC8vJz8/Hyqq6v9YSYwOalHZL9WayIra0/DRLzTAmbOnEm09yOdycQ0Q2amOxPT3BANKbs7gFki0hE3IvMTz70/cANwGnB8wLg2A9XUXUuzG7A+xj3rgK9Cis4jVD3vTV0r0UhzbN6bYRiNoV5lp6rvich3cdMNzoy4vBU4V1XfCxKRqlaIyAJgDPAP36UxwD9j3DYb+K6IFKnqLs/tYO93TZB4/VRWVrJt27Zwk5ffagudV1RURModbzRGgolledbU1JCVlUV+fr4pOMMw6qXBSeWq+oqI7AecAhzkOS8Hpqlq0P66EPcCz4rI+zhF9lNc/9sjACLyjBfnRZ7/54CbgSdF5FZcn939wBRV3Rhn3Kxdu5YOHTrQqVMnRKRWn09NTU2rbtJrLK0hzf7mSv95Tk4OW7ZsYefOnabgDMOol6BrY5aSgD3rVPV5EekM3ITbNeEjYKyqhqy03hH+d4nIt3CDUuYB24CXgF81Jv6ysjJ69uyZ8oW7EVvB+QcVAXTu3JlNmzY1m1yGYbROmn1tTFV9GHg4xrVRUdw+BU5KVPym6FKXoArOjz1PwzCCYAtBG81OY5SaYRhGU7Cte5qRLVu2cNRRR3HUUUfRp08fDjjgAI466ii6d+/OkCFDEh7fhAkTuO++++K6p2vXrlHdx48fz7/+1biW7KysrJhHbm5u+DAMw0gWZtk1I507d+a999zg1QkTJlBUVMQvfvEL1qxZwznnnNPg/VVVVeTk2CMzDMOIl0CWnYi8JCKni4hZgkmiurqaK664gqFDh3LGGWeEVwE5+eSTueGGGxgxYgQPPfQQCxcu5KSTTmL48OF8+9vfZt26dQA8/PDDDBkyhCOPPJKLLrooHO6yZcs4+eST6d+/Pw8/vKer9IEHHmDYsGEMGzaMBx98sI48qso111zD4YcfzmmnncbGjXEPfjUMw0gZgiqv3cDzwFoRuUNEDmrohtbA7373OwoKCigoKKCwsJBFixaxcOFCCgsLw8eECRMA2H///cNuw4e7pTyvvPLKWn6//vrrRsuycuVKLrvsMhYsWED79u156aWXwtcqKiqYPXs2V1xxBddddx1/+9vfmDNnDhdddBG33norABMnTmTu3Lm8//77PPDAA+F7ly9fziuvvMKsWbO44447qKysZOHChTz77LO8/fbbzJw5kyeffJLFixfXkufll19mxYoVLFy4kEcffTRskQbFmi4Nw0glgk49uFBE9gIuBC4BfiUi/8VNNv+HNzWh1XHzzTdz8803A7Xn2ZWU1J0++Pnnn9dxe+ihh3jooYcSIkufPn04/PDDARg8eDBr1uyZMz9unFsGdPny5SxdupTTTz89LPM+++wDwMCBA7nkkks444wzOOOMM8L3nnLKKeTn55Ofn0/Xrl3ZsGEDc+fO5YwzzqBt27aoKt/+9reZM2cOxcXF4ftmz57Nd7/7XbKzs+nRowcjR45MSDoNwzBagsAdQKq6A/hf4H9FZABuvcy/AA+IyPPAfaq6rL4wjNjk5+eHz7Ozs2stZhxavFpV6devX9QFXv/1r3/x3//+l6lTp3LXXXcxb968qOH61/1MNDbK0jCMVCXuPjgR6QF8BzgdqMIt9bUv8KGIXJ9Y8Qw/Bx98MJs3bw43KVZWVrJ06VJqampYu3YtI0eOZMKECWzfvp1du3bFDGf48OG89tprlJSUsHv3bl599dVw02yIESNG8M9//pPq6mrWrVvHrFmzkpo2wzCMZBLIshORXJyC+xFuLctFuIWh/x5as1JEvg08A0xMjqhGXl4ef/vb37j++uvZsWMHVVVVXHnllRx00EH86Ec/YseOHagqV1xxBR06dIgZzuDBg/n+97/P8ccfj6pyySWX1GrCBPjOd77D22+/zZAhQ9h333058sgjo4Zl1pxhGK0BCbLQsYhsBgS3VuWjqvphFD8dgEWq2jfRQjaGYcOG6fz582u5LVu2jAMPPDD839bGbPramKmg7JYtW0a/fv3iuicTt0DJxDRDZqa7KWkWkQWqOiyxErU8QfvsrsENRCmL5UFVv8HtbG4YhmEYKUVQZdcZ2AuIqeyMzCEVrDnDMIx4CDpA5VrcHLv/E5ELRaQwmUIZhmEYRiIJquz2A04GvsRtt7NBRP4qIqfYqiqGYRhGqhN0UrkCM4AZInIlbtrBBcCLwDe4DViNNMOaKw3DSBfiXlVYVStEZC5uMMoA4JCES2W0GKbgDMNIRwI3QYpIOxG5RET+A3yBW0HlOeCAZAmXjsTaQicWs2bN4uyzzwbgtddeY+LE+qcx3n777bz11lv1hhNJkDUs+/Tpw+bNm+vcG+k+c+bM8HJmAC+99BKDBg2iX79+HHbYYbXW/Lz44ovp27cvxcXFDBkyhLlz59abNsMwjMYSdFL5FGAssAO3IPSvVXVeMgUz6nL66afXUiTRuOWWWwKFFbLaqqurk2bBffDBB1x//fW8+eab9O3bl1WrVjFmzBj2339/Bg0aBMDdd9/NuHHjmDZtGpdddhkfflhnCqdhGEaTCWrZlQPnAD1V9eem6JrOrFmzOPnkk7ngggsoLi7mkksuITTBf9q0aRQXF3PMMcfw8ssvh+959tlnueaaa9i+fTuHHHJIeFL87t27Oeigg6isrKy1yWqscCZMmMCf/vSn8P/i4mJWr14NwJlnnsnQoUMZMGAAkyZNalIaJ06cyG9+8xv69nXTL/v27cuvf/1r7r777jp+jz/+eFauXNmk+AzDMGIRSNmp6oWq+rqqJm8V4RTl66+/5umnn27S9j2x+OCDD7jrrrtYuHAhq1atYu7cuZSVlXHllVcyZcoU5syZw4YNG+rc1759ewYNGsQ777wDwOuvv863vvWtWlZZtHBEhKysLEQkfB5aQSXUXPnEE0+wYMEC5s+fzwMPPMCWLVsaTMfo0aMpLi6muLiYn/zkJ2H3jz/+mKFDh9byO2zYMD7++OM6Ybz66qscdthhgfPOMAwjHuLps+soIheIyK9E5Bb/kUwBW5o333yz1m8iGTZsGL169SIrK4tBgwaxZs0aPv30U/r06cOBBx6IiHDeeedFvXfcuHFMmTIFgH/84x/hbYBCBA0nkgceeIDDDz+co48+mi+//JIVK1Y0eM+MGTNYvHgxixcv5rHHHgsUT4gbbriB4uJiJk2axOOPPx7XvYZhGEEJ2md3NDAVt4JKV+AroDuueXM1cHuS5GtxxowZw5tvvsmYMWMSHnZeXl74PDs7m6qqqsD3nnbaafz2t79l69atLFq0KK518HJycmqtC1pW5hbGmTlzJv/5z3+YO3cuhYWFjBo1KnytMfTv358FCxaE9+kDWLBgAQMGDAj/D/XZGYZhJJOglt3dwF+BnjiFdwLQG5gP/DE5oqUGPXr04Ic//CE9ejTPVMJDDjmENWvWhDeL/cc//hHVX1FREUOHDuWGG27g1FNPJTs7O3A4++23H4sWLQJg8eLFrFq1CoDt27fTsWNHCgsL+eSTT3j33XeblJbrr7+eO++8M9wfuHr1au644w6uu+66JoVrGIYRL0Hn2Q0CfqyqKiLVQL6qfi4iv8RNP/hb0iTMMAoKCnjwwQc5++yzadOmDSNGjGDnzp1R/Y4bN44LL7yQN954o95wCgsLGTFiBLt37yYrK4tzzjmHv//97+Eh/wcffDDgdjV/5JFH6NevH4cccghHH310k9JSXFzMH//4R8444wwqKyvJzc3lrrvuqrOdkGEYRrIJusXPJmCEqi4XkU+Bn6vq/4lIP2C+qrZNtqDxkslb/MQzMXznzp20a9euWeRKFrbFTzAyMc2Qmem2LX7qEtSyWwgcASwHZgITRKQb8H3AJka1MH6FFvnfVj4xDMMI3mf3P0Bo7P1NwCbcgtAdgfHxRCgiV4jIKhEpE5EFInJcPX5HiYhGOQ6NJ07DMAwjswm6EPR83/km4NTGRCYi5wL3A1cA//V+XxeR/qr6RT23DgC2+v5vakz86USspkowa84wDCOSuLbnEZFhInKuiLT1/rcVkXgWk74WeEpVH1XVZar6M2AdcHkD921U1fW+I+MmtxuGYRiNJ+gAlW7Ay8CRgAIHeaMx/wKUqerPA4SRB5QA56vqP3zuDwEDVXVklHtG4bYWWgPkA0uBCao6I0Yc4/GaVbt16zZ08uTJta63b98+PPLQ89+Q2K2CyGfoH3jTENXV1XWmLbQ2Vq5cyfbt2+O6Z9euXRQVFSVJotQkE9MMmZnupqR59OjRGT1A5U/ABqAzbseDEP/A9d0FoQuQ7YXjZwPwrRj3hKy+eUAe8ANguoiMVNV3Ij2r6iRgErjRmJGjkZYtW1ZrIndrG42ZjO130mE0ZkFBAYMHD47rHhuhlzlkYrozMc0NEbQZ80Tgf1R1W4T7Z7jJ5UlBVT9V1UdUdYGqzlXVK4D/A25IVpzJZv369Vx00UUMGDCA4cOHc+aZZwZakqspjBo1ishpGJHcd999lJSUhP+PHTuWb775pslx2xZAhmGkAkGVXRugIop7V9yKKkHYDFQD3SLcuwHrA4YB8B5wUBz+UwZV5bzzzuO4447j448/Zs6cOdx+++1s3LixpUWro+ymTp1Khw4dkhpnaAugl19+mWXLlvHKK69w/fXX19rm5+6772bx4sX84Q9/4LLLLkuqPIZhpC9BmzFnARcDv/H+q4hkA78EpgcJwNvhfAEwBtf8GWIM8M+AcgAU45o3m0TWddeRvXjxHvmaGiCggwZRGWX7mhBvv/02ubm5XHrppWG30L5us2bN4r777uPFF18E4JprrmHIkCH88Ic/5OCDD+Z73/se06ZNIycnh//93//l5ptvZuXKldxwww389Kc/ZebMmUycOJHXXnsNgKuuuophw4Zx8cUX15Lh8ssvZ968eZSWljJu3Diuv/56HnjgAb7++mtGjx5Nly5dmDFjBn369GH+/PlMnDiRfffdlyuvvBKAW2+9laKiIq6//nruvvtuXnjhBcrLyznrrLO47bbb4sqv+rYAevbZZ2v5tS2ADMNoCkEtuxuBS0XkTdxAkXtwg0VGAL+OI757gYtF5Cci0k9E7gd6AI8AiMgzIvJMyLOI/EJEzhSRg0RkgIjcCZwJPBhHnCnD0qVL4+5bCtG7d2/mz5/Psccey49//GOmTJnCu+++y29/+9u4wvn973/P/Pnz+fDDD3n77bf56KOPuPrqq+nRowczZsxgxozaY3/OPfdcXnjhhfD/F154gXPPPZdp06axYsUK3n//fRYvXsyCBQuYNWtW1DhtCyDDMFqaoPPslorIYbjBIuVAAc46e0hVA1tZqvq8iHTGTUzvDnwEjFXVNZ6XyP6/PNwi1L2AUuBj4DRVnRo0zljU3HNPqxqgctpppwEwcOBAdu3aRbt27WjXrh35+flx9a298MILTJo0iaqqKtatW8cnn3zCMcccE9P/4MGD2bhxI19//TWbNm2iY8eO7Lvvvtx///1MmzYtrLx37drFihUrOP744+uEMWPGDLp06QIQtkCDcsMNNzBhwgS6du1qWwAZhtFoAs+RU9X1QHxmRPRwHgYejnFtVMT/u4C7mhpnqtCvX7/wLuKRxNp2J0R+fj7gRmGGzkP/q6qqGrwfYNWqVUycOJF58+bRsWNHLr74YsrLyxuU+7vf/S5Tpkxh/fr1nHvuuYDrf/z1r3/dpH402wLIMIzmot5mTBHpHeRoLmFbO6NGjaK8vLyWhbJkyRJmz55N7969+eSTTygvL+ebb75h5syZcYW93377sXTp0vD906fX7UrdsWMHbdu2pX379mzYsIHXX389fK1du3Yxd1c499xzmTx5MlOmTOG73/0uACeffDJPPPEEu3btAuCrr76Ke6CNbQFkGEZz0ZBlt5r6x26Id711z0puJkSEyZMnc+ONN3LvvfdSUFBA7969ufvuu+nVqxfnnHMOw4YNo0+fPrWsnSDsu+++fO9732PgwIH07ds3at/g4YcfzuDBgzn00EPZd999GTFiRPja+PHjOeWUU8J9d34GDBjAzp076dmzJ927dwfgpJNOYtmyZeEm0KKiIv7617+y9957B5bZtgAyDKO5qHcFFRHxjx4Q4G3gAmCt35+qLkiKdE0gXbb4ScZEcj/pMKnctvgJRiamGTIz3bbFT13qtewilZiI1ABLVPXzpEqV4SRbwRmGYWQacS0EbRiGYRitkXh2LDCSiFlzhmEYyaMxll0iFhsxDMMwjGajXstORF6JcCoAHhWREr+jqn470YIZhmEYRqJoqBlzS8T/vyZLEMMwDMNIFg2NxrykuQRpCbZs2aPLVbXJUw86deoUl3/rpzMMw2gebDSmYRiGkfaYsmtm1q5dyymnnMKQIUMYPHgwDz7YKjdwMAzDaFXY1INmJjs7mzvvvJPBgweze/dujjnmGE488cRaix8bhmEYicUsu2ame/fu4XUr27Vrx6GHHspXX30FuJ27TzjhBPr3709WVhYiwi233NKS4hqGYaQFZtm1IKtXr2bx4sUceeSRlJWVceGFF/Lkk08yfPhwbr75ZsrKyuLe/dswDMOoi1l2zUxWVhZZWVmUlJRw/vnnc88999ChQwfefvtthg4dyvDhwwEYNGgQW7duTbmFqQ3DMFojpuxagMrKSs477zzOP/98zjrrLAA++ugjDjvssLCfhQsXMmTIkJYS0TAMI62wZsxmRlW57LLLOPTQQ/nFL34Rdu/cuTNvvfUWAMuXL+fFF19kzpw5LSSlYRhGemHKrpmZM2cOzz33HAMHDmTYMLdl1O9+9zvOP/98XnnlFQYOHEiXLl34+9//TufOnVtYWsMwjPQgo5WdX5k01+atI0aMoKysDKi7asqrr76a1LgNwzAyFeuzMwzDMNKejLbsmgtbA9MwDKNlyTjLTtW240sn7HkahhGEjFJ2BQUFbN261QrINEFV2bJlCwUFBS0timEYKU5GNWP26tWLzz77jM2bNwO1rYJYW/zEoxhjDW7xu/vPs7OzA4edLMrKylq1sigoKKBXr14tLYZhGClOsys7EbkCuAHoDnwM/EJV3wlw37HATOATVR3YmLhzc3Pp2LFj+P/u3bvD5xUVFZSXl5OXl0d1dXXYvbHKzq/I8vLywudt27YNn3fr1i248Eli5syZ4bU6DcMw0pVmbcYUkXOB+4E7gMHAHOB1EendwH0dgWeA6UkX0jAMw0g7mrvP7lrgKVV9VFWXqerPgHXA5Q3c9zjwNDA32QIahmEY6Yc012ANEckDSoDzVfUfPveHgIGqOjLGfVcAFwLHAzcD42I1Y4rIeGA8QLdu3YZOnjy5jp/CwsLwuX/of1ZWVrjPLlYfW0NE9gGGqKmpCZ9XVlaGz0tKSgKHnSx27dpFUVFRS4vR7GRiujMxzZCZ6W5KmkePHr1AVYclWKQWpzn77LoA2cCGCPcNwLei3SAihwG/BY5W1eqGFI+qTgImefduGj169JpGyLg5zntaO5mYZsjMdGdimiEz092UNO+XSEFShZQdjSki+cDzwPWquire+1W1ayPinJ+ONZr6yMQ0Q2amOxPTDJmZ7kxMc0M0p7LbDFQDkUMQuwHro/jvDvQDnhSRJz23LEBEpAoYq6rTkiWsYRiGkT402wAVVa0AFgBjIi6NwY3KjOQr4DCg2Hc8Aqz0zm3/G8MwDCMQzd2MeS/wrIi8D8wGfgr0wCkxROQZAFW9SFUrgY/8N4vIRqBcVWu5J5BJSQo3lcnENENmpjsT0wyZme5MTHO9NNtozHCEbnTljbhmyo+Aa1R1lndtJoCqjopx763UMxrTMAzDMKLR7MrOMAzDMJqbjFoI2jAMw8hMTNkZhmEYaY8pO1w/ooisEpEyEVkgIse1tEyJQkR+LSLzRGSHiGwSkVdFZGCEHxGRW0XkaxEpFZGZIjKgpWRONF4eqIg86HNLyzSLSHcRedp71mUislRERvqup126RSRbRH7n+4ZXicgEEcnx+WnV6RaR40XkFRH5ynuXL4643mD6RKSjiDwrItu941kR6dCc6WhJMl7ZNXZx6lbEKOBhYDhwAlAF/EdEOvn83AhcB/wMOALYCLwpIu2aV9TEIyJH45aQ+zDiUtql2Su4ZgMCnIabp/ozXNpCpF26gV8CVwJXA4cCP/f+/9rnp7Wnuwg3oO/nQGmU60HS9xwwBDjFO4YAzyZR5tQitI9bph7Ae8CjEW4rgDtbWrYkpbcIN7n/DO+/4Bbj/h+fnzbATuCylpa3iWltD3wGjMZtD/VgOqcZV2GbXc/1dE33a8DTEW5PA6+lY7qBXcDF8TxXXMVHgRE+P8d6boe0dJqa48hoy85bnHooELkSyzScJZSOtMNZ9Nu8/32BffDlgaqWArNo/XkwCZiiqjMi3NM1zWcC74nI8yKyUUQWi8hVsmdR2XRN93+B0SJyKICI9Me1Ykz1rqdrukMESd8xOCXpX4xjNrCb9MiDBknZtTGbibgXp04D7gcWs2e7pH2832h50LOZZEo4InIpcCDw/SiX0zLNwP7AFcCfgD/gVhr6s3ftQdI33X/EVeKWikg1rlz7vao+7F1P13SHCJK+fYBN6pl0AKqq3kId+5ABZLqyyyhE5F5c08WxqlrdkP/WiogcgmvSO1bdSjyZQhYwX1VDfVWLROQgXP/Vg7Fva/WcC1wEXAB8jFPy94vIKlV9vCUFM1KHjG7GJP7FqVstIvIn4HzgBFX93HcplM50yoNjcFb7xyJS5S0cPhK4wjvf4vlLpzSD67dZGuG2DAgNtkrHZw1wNzBRVSer6hJVfRa3NGFI6adrukMESd96oKuvSRvvfG/SIw8aJKOVnca/OHWrRETuZ4+i+yTi8ircyz7G578AOI7WmwcvUXcR8fnAZO98OemXZnB9MIdEuB0MhPZ1TMdnDVCIq7T6qWZP+Zau6Q4RJH1zcYPTjvHddwzQlvTIg4Zp6REyLX3gmkAqgJ/gRizdj+vI3a+lZUtQ+h4CduA67PfxHUU+P78EtgNnAwNxSuFroF1Ly5/AfJiJNxozXdOMG3JeCfwPrr/yu14ar0zzdD8FrMVNt+gDnAVsAu5Jl3TjFFWxd5QAt3jnvYOmD3gdWIJTcsd456+2dNqaLQ9bWoBUOHCd+quBcpyld3xLy5TAtGmM41afHwFuxTWDlQFvAwNbWvYE50OkskvLNHsF/gdempbj5p5JOqcbNzjlPpwFWwp8juuzLUiXdOPmy0b7jp8Kmj6gI/BXXOV3h3feoaXT1lyHLQRtGIZhpD0Z3WdnGIZhZAam7AzDMIy0x5SdYRiGkfaYsjMMwzDSHlN2hmEYRtpjys4wDMNIe0zZGUYUROQpEXmtpeXwIyLfEZEV3hJoTyUozItFZFec98z0b4RrGK0BU3ZGyuEpGhWRmyPcR3nuXVpKthbmceCfwH64TTzDiEgfL2/qO26NEubzuN0SDCOtsV0PjFSlDLhBRB5R1U0tLUyiEJFcbcRODN4u5J2BN1T1qyhevgS6+/5fDvwIt4RYiFoWnCdLKdF3vjaMtMIsOyNVmYFbwu3mWB6iWXo+C2dYhJ9TRWSBiJSKyDsi0ktERorIByKyS0ReE5HOUeK4SUQ2eH6eFJE2vmsiIjeKyGdeuEtE5PtRZDlfRN4SkVLgshhp6SgiT4vINi+s/4jIgFAa2LPZ7ltemKP896tqtaquDx24Xaqrff8PBXaKyFgReV9EKoCTI5sxReQAEXlZRNaLyG4RWSgip8d6Bt49Z4vIh57cW0XkbRGJXIHfMFoUU3ZGqlID/Ar4qYgckIDwbgN+ARyFWyPwedxiuuNx6w4OwK0t6GckcDhwInAOcBJuo9AQE4Af4/aL6w/cCfxFRE6LCOdO4GHPz0sx5HvKk+07wJG4xX7/z1Ouczz58OToTuNXqv8jcBNO+b0X5XoRbsHgMbi0/xN4MbQLeCQisg9u0eGncQupHw8820jZDCNpWDOmkbKo6lQRmQ38HjivicHdrKrvAIjII7gdvIeq6kLP7WlgXMQ91cAlqroL+EhEfgk8LiKhfdKuBU4KhQusEpEjccrv375w/qyqU2IJ5m2w+m1gpKrO8tx+AHwBXKiqj4nbURpgq2epNZZbVXWaL+5aF1X1A9xC0iF+LyJn4PJmQpTwegC5wBRVDW0l9FET5DOMpGDKzkh1fgnMFZG7mxjOh77zDd7vkgi3vSPv8RRdiLlAHnAAkA8U4Kwv/2rqubjmVz/zG5CtH86SnRtyUNXtIrIEZw0mknplEZG2wG+B03EWZC4unR/GuOUD4D+4ysA073xKOvWzGumBNWMaKY2qvo9rSrsryuUa79dvnuTGCMo/KES9sCPd4vkeQn7PoPYmsQNwzZ1+dscRbiSJ3pakIVkm4vbBuxnXjFsMvI9T8nVQ1Wpcek/CKcQfAytE5PAEyWsYCcGUndEa+A1u1+VTItxD1oN/FGJxAuM9zLN0QhyN2+j3M2Apbv/D/VR1ZcSxJlpg9bAM9y2Gd5EWkb1wu60vbVIK4udY4BlV/aeqfojbFLXePlN1zFXV23CjP7/GbYpsGCmDNWMaKY+qrhSRSUTMLQNW4obc3yoiv8LtUn1TAqPOAZ4QkdtxfVN/AB5V1d0AIjIRmCiu42sWbnDH0UCNqk4KGomqrhCRl3GDW8YD3+D6KXcAzyUwPUFYDpzlyVOJa9IsiOVZRI4GvgW8gWsKHgzsS/MracOoF7PsjNbC7UCV38FrhjwPNyn6A9yIy98kMM63gY9x0yD+BbwF3Oi7fjNuBOf1nr83caMlVzUirktwzYWveL+FwCnePLjm5FpgI/AOblTmu955LLYDI4DXgBXAPcDvVPWvSZbTMOLCdio3DMMw0h6z7AzDMIy0x5SdYRiGkfaYsjMMwzDSHlN2hmEYRtpjys4wDMNIe0zZGYZhGGmPKTvDMAwj7TFlZxiGYaQ9/w/o9tCsdcgtNgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qubits = 4 # Can use specific qubits. for example [2, 4, 7]\n", + "\n", + "qv_exp = qe.quantum_volume.QuantumVolume(qubits)\n", + "# Transpile options like optimization_level affect only the real device run and not the simulation run\n", + "# Run options affect both simulation and real device runs\n", + "qv_exp.set_transpile_options(optimization_level=3)\n", + "expdata = qv_exp.run(backend)\n", + "\n", + "# View result data\n", + "print(expdata)" + ] + }, + { + "cell_type": "markdown", + "id": "bad10d21", + "metadata": {}, + "source": [ + "### Adding trials" + ] + }, + { + "cell_type": "markdown", + "id": "1ef02161", + "metadata": {}, + "source": [ + "More trials will reduce the error bars to allow passing the threshold (beside the error bars - Quantum Volume experiment must have at least 100 trials to consider successful).
\n", + "In case you want to add less than 100 additional trials, you can modify the amount of trials added before re-running the experiment." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "11dc7b0d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---------------------------------------------------\n", + "Experiment: QuantumVolume\n", + "Experiment ID: 9d91d7cc-fc21-48bb-a3bf-57c8735f43a7\n", + "Status: DONE\n", + "Circuits: 160\n", + "Analysis Results: 2\n", + "---------------------------------------------------\n", + "Last Analysis Result\n", + "- quantum volume: 16\n", + "- qv success: True\n", + "- confidence: 0.9889535200997546\n", + "- heavy output probability: [0.798828125, 0.7236328125, 0.7626953125, 0.7587890625, 0.7412109375, 0.6845703125, 0.765625, 0.7314453125, 0.7353515625, 0.7177734375, 0.6669921875, 0.8154296875, 0.7421875, 0.716796875, 0.7119140625, 0.6748046875, 0.708984375, 0.7998046875, 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0.7529296875, 0.7705078125, 0.8427734375, 0.71875, 0.7197265625, 0.74609375, 0.7470703125, 0.7626953125, 0.6826171875, 0.80078125, 0.71875, 0.6796875, 0.6806640625, 0.7421875, 0.7548828125, 0.7177734375, 0.7177734375, 0.9208984375, 0.7314453125, 0.7763671875, 0.736328125, 0.7099609375, 0.685546875, 0.7314453125, 0.6865234375, 0.8984375, 0.7734375, 0.71484375, 0.7568359375, 0.734375, 0.734375, 0.701171875, 0.7958984375, 0.681640625, 0.7734375, 0.685546875, 0.7744140625, 0.71875, 0.7548828125, 0.748046875, 0.74609375, 0.7607421875, 0.6875, 0.724609375, 0.724609375, 0.7421875, 0.748046875, 0.716796875, 0.873046875, 0.7275390625, 0.76171875, 0.7333984375, 0.8291015625, 0.7900390625, 0.728515625, 0.7783203125, 0.74609375, 0.7197265625, 0.73046875, 0.6640625, 0.7373046875, 0.7373046875, 0.7841796875]\n", + "- mean hop: 0.7454833984375\n", + "- sigma: 0.03443634536100409\n", + "- depth: 4\n", + "- trials: 160\n", + "- success: True\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "qv_exp.set_experiment_options(trials=60)\n", + "expdata2 = qv_exp.run(backend, experiment_data=expdata)\n", + "print(expdata2)" + ] + }, + { + "cell_type": "markdown", + "id": "8e611a22", + "metadata": {}, + "source": [ + "### Using another backed for simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a9c4b160", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---------------------------------------------------\n", + "Experiment: QuantumVolume\n", + "Experiment ID: daddbbbc-d4b3-4daf-9ab7-76e969226c77\n", + "Status: DONE\n", + "Circuits: 100\n", + "Analysis Results: 1\n", + "---------------------------------------------------\n", + "Last Analysis Result\n", + "- quantum volume: 1\n", + "- qv success: False\n", + "- confidence: 0.8925099586664409\n", + "- heavy output probability: [0.7255859375, 0.703125, 0.7373046875, 0.71484375, 0.7783203125, 0.6650390625, 0.7470703125, 0.7548828125, 0.8212890625, 0.724609375, 0.6767578125, 0.8671875, 0.6650390625, 0.6826171875, 0.7119140625, 0.720703125, 0.7578125, 0.7294921875, 0.806640625, 0.67578125, 0.6337890625, 0.70703125, 0.7578125, 0.685546875, 0.681640625, 0.6767578125, 0.7431640625, 0.6689453125, 0.74609375, 0.767578125, 0.7041015625, 0.75, 0.78125, 0.7490234375, 0.76953125, 0.75390625, 0.66796875, 0.7294921875, 0.666015625, 0.732421875, 0.7138671875, 0.6396484375, 0.7470703125, 0.7734375, 0.6708984375, 0.7353515625, 0.736328125, 0.6875, 0.763671875, 0.689453125, 0.7451171875, 0.7109375, 0.7392578125, 0.7392578125, 0.7412109375, 0.6796875, 0.69921875, 0.7587890625, 0.72265625, 0.654296875, 0.6787109375, 0.751953125, 0.8623046875, 0.69921875, 0.7421875, 0.7109375, 0.73828125, 0.712890625, 0.6953125, 0.6416015625, 0.7822265625, 0.7763671875, 0.7216796875, 0.78515625, 0.814453125, 0.6982421875, 0.666015625, 0.751953125, 0.7158203125, 0.748046875, 0.712890625, 0.6591796875, 0.7021484375, 0.73828125, 0.6796875, 0.7685546875, 0.703125, 0.623046875, 0.6630859375, 0.8486328125, 0.6611328125, 0.69921875, 0.720703125, 0.689453125, 0.677734375, 0.724609375, 0.6630859375, 0.7080078125, 0.794921875, 0.7041015625]\n", + "- mean hop: 0.72220703125\n", + "- sigma: 0.04479107447506272\n", + "- depth: 4\n", + "- trials: 100\n", + "- success: True\n" + ] + }, + { + "data": { + "image/png": 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TECJyBa7wOitGk5VhAJHBB28C3VV1Q8tKYwRFRKbiRhie3NKyGIYfEZmFG4F6RaLnNrXp4QHgB8AgqTsXyDAMwzAyjiaPJlPV51T1d4k0tYjIaBF5SdzamioiEwOcc6CIzBa33uQ3InJzVBOZYRiGYTRIoqMgm0s7XF/dE+wajRcXb1Taq7hRagfjRnL+BTcM/a7UiWkkA1WdRf3h00aGo6oTW1oGw4iFqo5t6rlN6rNLBuImIl6hqlMbiHMpbrRcj7AFKSI34tY/7K0tJbxhGIbRqki3ZZcohwNvRTWV/hu3NFU/dk1mB0CcW51JAG3atBnRp0/9WQehUMgfv86+qpIJLaR+He7fr62tjRW9WdTW1ta5J7lCLuY7F/MMuZnv5uT5888/36Cq3ZMsUouT6cpud9yQfj9rfcfqKDtVnYJb2Z+RI0fq/Pnz611w7dpdI8p37Ni1KEdlZSUVFRUUFRVRU7NroYp0GY9+JZuXt2vOZ2HhrsUP2rZtG9nv0aNHUtKdNWsWY8eOTcq1WhO5mO9czDPkZr6bk2cRqbfIeDaQ6couZ/ArVb+yrayMveyoX2knS/EZhmFkK5lu26/BLXPlp4fvmGEYhmE0SqYru3m4JZiKfWHjcKt+LG8RiQzDMIxWR1qVnYi0E5GhIjLUS7uv97+vd/x3IuJ3t/E0bn3JqSIy2FuT8RfA3TYS0zAMwwhKui27kbj12D4E2uDWfvsQ5wwQ3Ardfl9pW3GWXC+cg9IHcfPr7k6fyIZhGEZrJ60DVBqbZBxrMquqLsYt1JszNGewCtiAFcMwjGgyvc/OMAzDMJqNKTvDMAwj6zFlZxiGYWQ9Nqk8w0m0/w5swrlhGEY0ZtkZhmEYWY8pO8MwDCPrsWbMVoQ1aRqGYTQNs+wMwzCMrMeUnWEYhpH1WDNmKyVekyaYWyDDMIxoTNllAdFrYieyxFhJSUnqBDMMw8gQrBnTMAzDyHrMsstCEhm1WVBQYM2bhmFkPabsspzGFF8oFGLHjh2RcFN8hmFkI4GaMUXElKJhGIbRagnaZ/etiEwWkQEplcYwDMMwUkBQi+2XwAXAz0TkPeDPwLOqWpoyyYykE6tJU0RsqoJhGFlPIMtOVR9R1VHAYOA/wO04a+8xETkilQIahmEYRnNJaOqBqi5R1euA3jhr7/vAHBH5TEQuERGbymAYhmFkHAkNPBGRQuB04ELgGJyV9yjQC7gJGAucnVwRjVQQbtIUkYQmoYM1aRqG0foIpOxEZDhOwZ0DVAFPAFeo6ue+ONOB+akQ0jAMwzCaQ1DL7n1gJjAJeFFVq2PEWQ48kyS5jDSSqOsgs/IMw2htBFV2e6nqioYiqOoO3IhNoxVjis8wjGwk6ICSN0Wka3SgiHQSka8SSVBELhORZSJSLiILROSoRuJfLiJLRKRMRP4rIucnkp7RdFQ1stXU1ES2ysrKyLZjx47Itnbt2shmGIaRSQRVdv2AvBjhRcAeQRMTkQnAvcAdwDBgLvCKiPSNE/9S4A/ArcAg4NfAgyJyStA0DcMwDKPBZkwROd339yQR2er7nwcci+urC8rVwFRVfcT7/xMRORG4FLghRvwfAI+o6t+8/1+JyMHAz4GXE0jXaCbWvGkYRmumsT67ad6v4qYY+KnCKbprgiTkTVsYAUyOOjQTGBXntCKgPCqsDDhERApUtSpI2oZhGEZuI9GOP2NGElkGHKyqG5qckEgv4BtgjKrO8YXfDJyrqvvHOOcO4EfAybhpDSOA6UAPoJeqfhsVfxJuxCg9evQY8cwz9QeH+p2VFhQURPZDoRCqioggIv5rNiG3uYP//fHv19bWRvarqurWSXbu3Jl6wRqhtLSUdu3atbQYaSUX8wy5me/m5Pnoo49eoKojkyxSixNoNKaq9k+1IHG4Ddgd17cnwFrgceB6oDY6sqpOAaYAjBw5UseOHVvvgv7mNb9rm8rKSioqKigqKqrTTBekMtCaCSv4phKvYpCXt6uLt2PHjnXOadu2bWS/pZo4Z82aRaz3I5vJxTxDbuY7F/PcGHGVnYhcDTykquXeflxU9e4AaW0AanBWmZ8ewJo41y0DLhSRi7143+Ist+3A+gBpGmkk0X49sL49wzDSQ0OW3U9wVlS5tx8PBRpVdqpaKSILgHHA332HxgH/aOTcKmAVgIicDUxX1XqWnZE5xFN8YINaDMNIP3GVnb/pMonNmHcDT3pugt4GLsGtq/kwgIg84aV3vvd/P+BQ4B2gM24052Dgh0mSx0gD0U3BNprTMIx0k1YP5Kr6rDc5/UagJ/AxMN63Okv0fLs8nILbHzf6801glKouT4/ERirwK7/q6l0rz8VTgv6+1Uzo7zMMo/XRWJ9dIAL22YXjPgQ8FOfY2Kj/S3CTz40cwJSgYRiporE+uyAE6rMzjKZiStAwjOYSqM/OMAzDMFozae2zM4xk0hyLr6SkJDIIxiw+w8h+0jnPzkiATZs28eGHHzJs2DC6dOnS0uK0KoLM9ysoKIgoPxv5aRjZT9rm2RmJ8eGHH0Z+jz322BaWpvUSz/rLy8ujrKwMiG/9QW71+a1atYoZM2Ywfvx4evfu3dLiGEZSieviR1X7q+pG3368ba/0iZs7DBs2rM6vYaSaGTNm1Pk1jGzC+uwylC5duphFl0JEJGL1+S0+/z4Qsf4ANm/eHNkvLCyM7GeL9Td+/PiIZWcY2UZgZSci38VN8B7oBS0B7lbV51Mgl2FkBLnkx693795MmjSppcUwjJQQSNmJyDU47+JPAFO94MOBp0XkJlWN9lFnGFmHzfczjNZLUMvuWuAKn4dxgMe8NS5vpb5DVsPIGUwJGtHYYJ/MI6iya4dblzKaN71jhmFEEU8J+vdzqU8wl/AP9rGm4cwgqLJ7ATgT+H1U+BnAS8kUyDByieYoRDClmKnYYJ/MI+hC0F8AvxCRo4F5Xthh3mZz7AwjhcRTiNH/G7MSO3bs2KoH0LQmbLBP5pHIQtCbgf28zR82EddvZxhGC9LYyNFQKFSnv9AUn5FL2ELQhpGFxLIGQ6EQO3fujIT799evXx/ZF5HIfl5eXmTfmkyN1oxNKjcMow5B+hH9inLDhg2Rfb9yBFOQRuaQyKTy/XCDVPoChf5jqnphkuUyDKOVELRPMYiCNOVopIqgk8pPAv4BfAiMAN4H9gaKgLdSJp1hGFlJotZjc5pZDQOCW3a3Ar9R1d+JyHbgB8Bq4El2jc40AmLuewyj6SSqKLt06cInn3wCxFeOYJZkthNU2e0PPOvtVwElnp+7W4F/YdMPEsLc9xhG+gi66LcN2Mlugiq77UCxt/8tsA/wsXd+5xTIldUMGzYsYtkZhpHZpGIlHD+mHNNDUGX3LnAk8CnOkrtLRA4CTsOaMRPG3PcYRjBaS5N/ok2rfmsxqHI0pdg8giq7q9m1BuYtQHvcUmGfe8cMwzCSTrY2+SeqHCGxptXo1XL85KrSjOup3I+qfqWqi7z9nap6qaoOUdUzVXVlIgmKyGUiskxEykVkgYgc1Uj874vIQhHZKSJrROSvIrJ7Imkau9i0aROvv/46mzZtamlRDKNRwk391uRfF1WNbNXV1ZGtrKyMsrIy8vLy2Lx5c2TbsWNHZFu7dm1kyyUCKbswInKMiFzhbcckmpiITADuxfnGGwbMBV4Rkb5x4h+BG/H5ODAI+C7OeexTiaZtOPw1ZcPIdMJN/pnchGm0DgIpOxHpLyIfADOB671tpoh8KCJ7JZDe1cBUVX1EVZeo6k9wA14ujRP/cGCVqv5JVZep6jvA/cChCaRp+LCasmEYuUhQy+5R3IjMvVS1r6r2BfYCtgB/DnIBESnETUifGXVoJjAqzmlvAz1F5BRxdAPOBmYElNuIwmrKhmHkIkEHqBwOHObvn1PVlSLyM4KPxuwG5AHRDcVrgeNinaCq80TkbFyzZRtP3leBH8aKLyKTgEngOmFnzZpVL05JSUlkv6CgILIfCoVQVSoqKup0/vr3sxV/Z3kukYv5zsU8Q/bne9OmTSxcuJCDDjooUpGtqKiIHPdPjfAv1bZkyZL0CdnCBFV2K3HKJppi4OvkiVMXERmIa7a8Dfg30BO4E/hf4Pzo+Ko6BZgCMHLkSB07dmy9a/o7Zf3uTiorK6moqKCoqKiOe5Rs/0hUNScUejS5mO9czDPkRr4XLlwIwKJFizj22GOpqamhqKgoctwmwAdvxrwGuE9EDhORPBEJichhwD3esSBsAGqA6LvbA1gT55wbgPdU9U5VXaSq/wYuA34gIr0DpmsYhpHVhPvghw4d2rKCZDANeSrfDvjNmmJcH1qt9z+EU15PAR0aS0hVK0VkATAO+Lvv0DjcItOxKPHS8BP+n9BIUsMwjGwl3Bef7RZsc2ioGfOKFKR3N/CkiLyHU5yXAL2AhwFE5AkAVQ03Ub4MPCIil7KrGfMe4INE5/cZhtE6aC2rphiti4Y8lT+e7MRU9VkR6QrciFNcHwPjVXWFF6VvVPypItIep3jvArYCbwA/T7ZsRuZhhV72EeSZZuuqKUbLErgpUESKRORCEZksIneKyEQRKWr8zLqo6kOq2k9Vi1R1hKrO8R0bq6pjo+Lfr6qDVLVEVXuq6rmquirRdFOJrUqSGmwCfPYR5JnaXFAjFQSdVD4QWIprhjwUCA9O+VxEBqRMulaCFcqpwQq97MP/TONVEm0uqJEKglp29+K8lPdV1aNU9Shck+NHOKWX01ihnBoypdAzyz15+J+pVRKNdBJU2R0B/FJVt4UDvP1f4Vz/5DSZUijnCulWPlYop4bWVEm0Ck/rJ6iyKwc6xQjv6B0zjIRoTuGRbuXTmgrl1kRrqiRahaf1E1TZhacAHOFNKs8TkSNxK5m8lDrxjGylOYVHupVPcwplswiyA6vwtH6CKrsrcQNU3sJZcuXAbJzz1qtSIpmR1TSn8DCLwEg3remdM2LTqLITkRBu4ve5wH7A6d62v6qepqpbUyui0RSSZVGkyjLJlcIj3RaBWZKGEZsglp0CC4HdVfULVX3Z275IrWjZRWsdVJHplkmmF+7pVuqZ/rwMo6VoVNmpW/b/v0D31IuTvbTWQRWZ3ldhhXtdEn1emV5ZCEI25MFIPUH77K4HJovIULGVRptEaxpUkYrrBCVewRUvPNOVcbpJ9HllQ2WhoTxs2rSJN954wxShEVjZPQccAiwAykVkm39LnXitG38BnSt9VA0RpAYer+CKF56q+5pqayFTrJFsqCw0lIdsUOZGcgiq7H4C/Bi4EOcJ/CdRmxGD5nxooe3b6Tp1Kvk+r8KthXgFeXPWRUx3oZzqQjJTCuEglYVMUczxaCgP2aDMjeQgQTxxews+56vqjkYjZwgjR47U+fPn1wtPp6fyBld4r62FUJy6Rm0tfX/yEzrMmUN1hw58e8MNbD3pJEhBC3IqvDi//vrrkX3/qvWZ5MWgsXynWtaGru8/BsTcb4pMTX3W8Z5nayEXPJWHCeezpqamjnfyRDyVi8gCVR2ZQjFbhAaVnYh0Ax4HjsdZge8C56nqV+kRr+mkQtklqwDc7b776DZ1KlW7705F//6UDxjAxh/8gJqOHd3xBx9kt4cfZt1FF9Hu3XcpWbSIbUcfzdqrrqJir72anC5A/po1SHU1Vb17R/KX7IIgk5RaPJKd72Tm2a9c4tEUpdPUPAdVzNnwrFtDfhrClF18GlN2jwCnAPfhJpJfAqxQ1XHpEa/ppELZJaOG2+Xpp+n1u9+xbcwYtLiYwmXLKP7iC2o6dWLN1VdT064de151FZv/53/45rbboLaWrk8+SY8HHiBUUcH2UaPY9P3vs+Pgg6ktKQmWqCol8+fT9amn6PDmm0htLWUDBrD1hBPY8p3vUN2rV5Py0ppJhrLzF4z+5sjmWj+ZZtk1RGuw+hLJd2vIT0OYsotPY8puJXCJqs7w/h+Ac7jaRlWr0iNi00inZdf18cepLSlh81lnNShT+1mz6HvllWwfM4aVf/oT5OUBUPzf/9Lrttso+egjVISygQNZ9vjjaNEud4F5mzbRZdo0ujz7LAXr1jmZd9+dyv79qerenZpOnajp0IH89espXrqUoi++ILRzJxQUoKEQeTt2UN2xI5vPPJPqzp3pOHMmJYsWUZufz+Yzz2T9xRdT3a1b0NvbqklW7d1fMIYVXiZbBGbFN05ryE9DmLKLT2PKrhroo6rf+sJ2AgN83sUzknT12XWcPp0+N9wAwMo//Yltxx1XP1JtLe1nzaLPL35B+d57s+yxx9A2berF6fzCC3SYOZPVv/41VT17xk6wqor2b79N8eefU7RsGYXLl5O/cSP5W7YQKiujpn17yvfZh/J996W2fXukupo1eXnM7tuXA0eNoovvugWrVtHtscfo8s9/ooWFbBk/nso+fajq0QMtLKRw5UqKVqwgtH07FfvtR9nAgZQNGkR19zRPuVRFysoo2LCBwq+/pnDVKgrWrCFv82byN2+Gmhoq9t6b8v33p6JfP8jLY0NpKe+vXctBw4bVyTMkr/be2grGXOq78pNL+TZlF5/GlF0NbuWU9b6wbcBBqrosDfI1maYqu+LqamrvvpvXDjqIgw47rMFCrGjpUvY+91zKBgxAqqspWrqUr556iop99wUgtG0bnV98kS7PPEPRypVU7LknX02dSo3PgkpmgSkVFWhhYb2BLA0V7qpK0ddfs9uDD9L+rbfI2769zvGqbt2obdeOwhUrEO9dqdptN6f4Bg6kbPBgygYPpqZzZ3dCdTV5paWu/zFOASNVVRSuXAmqziLt2BGpqiJ/40byNm6kaNky2ixZQvFnn1H4zTfkbdlCqLKyrtz5+VR36kRNp04AFC5fTqi6OnJ8yqRJkf0fzpxJRb9+aF6eU/5t2/L6gAEcvWIFPWpqKN93X3YOHUr5AQegBQVIZSWhbdsoWLeOwtWrKVi9mtriYqp696ayTx9q2rQhVFWFVFZGtlBlpZOpSxequ3RB8/PJ37SJ/I0bCZWXU9OpE9WdOlHbti2h8nJCO3e655WfjxYWovn5SFUVocpKpKICqajYtV9ZSai8HKmspLZdO6q7daO6a1dq2rentk0b10KgSmjHDvK2bUOqvEYXEWrat3f3SKTBQl8qKmizeDFFy5ZRW1xMbUkJWliIhPNZVYUWFKAFBS69mhp3rLoa8vLQvDy0oMCd27YttSUlVO22G7UdOtRNqLqavC1byPcqKlJR4d6TUIjQzp2u4rZxI/lr11K4ahWFq1aRt22bu26bNtS2bevucdeu1LZr5+5NWZnLswialwehUERmqayEUMjd54ICajp0oLprV3d+SQlaVEStpwikqgqpqUGLiqhp146a9u2R2lpCpaXklZZCTY17VoWF1HToQGWvXtR07RrzPZeqKvK2bqWmQwf3TTaDRMoIU3bxaUzZ1QKfAdW+4IHAF0Ck9FHVIakSsKk0Vdm13byZ1597DvLyqNhrL44Zt6t7ss3HHyNlZZQPcM7Z9z7nHEKlpXz53HOgyt4TJqDFxay6/XY6TZ9Op3/9i1BZGTuGDmXTOeewbdw4V1j4SEcfQUMfS3QBGNq5k/y1awlVVFDZpw+13ocR2rmT4s8+o80nn9Dm008p/uQTipYvr6MApbyc/G1u2mV1587sHDKEskGDkNpa8jdsIH/DBgpXrKBo5UrEZz3HoqakhPL996dyzz2p7tyZmo4dqe7alco+fajs08c1ufpGs0pVFUVffUXBqlUArK+p4Z0dOxizfj19P/2UohWuIUK9Zt2wYgmVllLgTe+oLShwhW5FRXNud9qpLS6OFNR+Vu2xBzNOOokTX3+d3UIhqnr0oLpLF2o6d6a2sJDQzp3klZZSuGoVbRYvrlehSAbVHTpQtcceSHW1q8xs3hx5Z2LJOv5f/2KP1avds+7dm6revanu1IlQWZmrJJSWukrEpk2Etm9Hi4upLS5231VtLVJbi9TUUFtYiBYV7QqvrkYqK8nfsiWuDE2htk0bd199Fa+i5csp/PrryPOoKSmhpmPHiDy14Qqpt9WG8+BVFGratqW2bVtXOVNlWpcuaCgEeXmc0rEjtUVFTqnn57vvddMml6eqKtdtkZ9PRffulJ16akROU3aNK7tfB7mIqv4maRIlieY0Y26bM4eFCxYw9ttvqbz9dhCh+5Qp9HjggUj86o4dySstZdmf/8zOke69aLNwIf0vvJBQVRW1RUVsHT+ejWefTfnAgXHlTKZl15RrNaeJJ1RaSpslS5xF8OWX1JaUUN2lC7UlJRR/8QVtPvqI4mXLUBFqOnemuksXKvv2pXzvvanYay9n/WzZQt6WLWhhYaTGXdm7N5V9+8afmpEE/PnOX7eOko8+os3ixQDUtmtHTbt2VPXoQVWvXlT16oWUl7sm1K+/JuRZ0FpQQG1BgSvEiopcbd4riKWyMpIfbdOGvK1bydu8mdDOnc5CibacqqvdNYuK3DWLi12BXVhYZz9v+/aI9RMqLSW0cyehnTud1dKxI7Xt27vCVJWXqqqguhqpquK8d96hYO3aiFUllZW7LLDu3dk5fDg7Ro6kfP/9XUUgbHmGlUZ+PhK25qqqIpaS5uUhtbWRdMJWa2jHDgrWrHHW2TffoAUFEYu0umtXpxy6dKG2qAhUmbFqlbPM8vM55thjIT8/Jc8aiFiXofLyiPVMKOSs07w8Vwnavp280lI0FHLvQ9u2kJ8fseTzt2yhwMtbwbp15G3ZQt7WrUhNDRX9+lHRrx/V3buTt307eZs3O4vbawGQykrwyt017drx+oABjHv/fXp/803k3uX5yiZ/RaD3N98EyvOOIUP4+tlnI/9N2QWcZ9caaW6fXZenn6bnHXew/sc/Jn/tWjq//DJbTj6ZLePHO8vms8/YPno0W047rc71282ZQ+HXX7P15JMjUwnSRVOsxFT3Z8jOna4ZJ4mFVzLIhX6c6MpPnTyrpmTeZlNJVqUv1nUy+VnH/WajyuXQzp2uwrRtm2varqlBqqtdBbNzZ6o7d0YLCwl54TXV1eR37Ro535SdKbvIfr0BKqr0uukmOr/wgjvv8stZf/HFkQIiEwcnpNuya82E852JzzFV5MKzjqU8MjnfyX7/rM8uPqlrJ2rtiPDtTTex6YwzWHnXXay/5JI6NeFMWe7J1t9sHpnwHDN9Oa5oEl2sO500tDxYJsgXjX2z6SPtyk5ELhORZSJSLiILROSoBuJOFRGNsaVl2TItKmL1Lbew7fjj6x3LlDX3MqGwbs1kwnNsbc8w0cW600lDyiMT5Esmmai8M5m0KjsRmQDcC9wBDAPmAq+ISN84p1wJ9IzavsJ5YWhRMqVGlorCOpc+okx4jpmgcBMhUxbrTpRMly9Rsk15p5qgC0GPBuaqanVUeD4wSlXnBEpM5F1gkape5AtbCkxT1RsCnH8E8B/gCFWd21DcZE0q37hxY1b36cTqz0j3kkkt0W+Wyf04qSIX8wzJX/Q7U/p5Y8khIpEya+TIkXT1BqlYn11wy+5NINZT7egdaxQRKQRGADOjDs0ERgWU4yLgk8YUXTLJxdpTtrnTyXZSYYnnknWf6PvXnPc1mfc1XqvEwoULAViwYEGz08gmglp2tUAP/0oqXvh+wHxV7RD7zDpxewHfAGP8lqCI3Aycq6r7N3J+R+Bb4AZVvTdOnEk4f3v06NFjxDPPPFMvTolv8eQC3wTvUCgUqQH6a4GbN29m4cKFDB06NCstu0xg06ZNdo+bwRtvvBHZP+aYYzL2ms0lVe9Jotdtjhypvq+qyqZNm/joo48YMmRIRL7a2tpInKqqXcsa79y5s941jj766Ky07BqbVP6St3sS8BrgX1oiDxgMLFHVExtNqPnK7nLgLqCXqjZaLcoEf3atAWvaav0EbVZL54LIqWjqa2rzeiY961Q3gdrUg/g01oy50dsE2Oz7vxFYBTwMnBcwrQ1ADRB9d3sAawKcfxHwjyCKzjByiVQMsmnuNVPRNJ0NA0wyYUBUrtLgshaqegGAiCwHJjfHU7mqVorIAmAc8HffoXHAPxo6V0QOAQ4Crmpq+oaRLuLV3jNlYEM68Ls8ShZhRZGt5NL70RIEGqCiqr9pjqLzcTcwUUR+LCIDROReoBfOQkREnhCRJ2KcNwlYqqqzkiCD0URyadBCc8jkeWjpwiyYxMml96MlCKTsRGSxiCyKtwVNTFWfxVlnNwILgSOB8T7feH29zZ92e+Bs4M9B08l2Wkrp+D9GU3zxaa3z0IyWxd6P1BJ0NGa094MCYChwBPCgqt6YfNGaRzYPUEnmPLimDlrw1z5bY9NSJg1aaArNWQc115rLmvqsW+N9sgEq8UmkGdO/3aiqJ+NWQumUUglziKDWUrJqgJs2beKNN94IbJ35m6aiZTBLL700p8nLmsuC0ZL3yb6n5NPc5cL+CZybDEGM4B9XsvpDmvMxR8tgBWh6aU6Fx5rLgtGS98m+p+TTXGU3Gqg/K9FoEun+uJKZXq4UoJlS425OhccGjwSjJe9TrnxP6SRon91L0UG4RZmHAb9R1VtTIFuzyOY+u2SS6r6rdPZ7JJJWU/Od7nVDk0lr76dsKrmUb+uzawBVbXQD/hK1PQr8Hjg+yPktsfXs2VOByDZ//nydP39+nbCf/vSn+uWXX+puu+0WCRs4cKB+/PHHeuaZZ9aJ+/rrr+v9999fJ+zmm2/WxYsX1wk75ZRT9J577tFTTjmlTvjixYv15ptvrhN2//336+uvv14n7IwzztDFixfrgAEDImHdu3fX2bNn669+9SvdY489IuHPPPOMPvPMM3XOv/TSS3Xx4sXavXv3SNiAAQN08eLFesYZZ9TL03333ddonsaMGaOLFy/WMWPGJJynSZMm6fXXX6/33HNPvTwtXrxYL7300jrnNydPkyZN0smTJ+ttt91WL0/33HNPnXs3evToJuVpjz320EmTJul5550X8zklO0+JvHvNeU4NvXuZmKfZs2frr3/96zrPNF6eFi1a1CrylIrnNG3aNJ02bVqdsGuuuUbXrFmjPXr0iIQNHz5cVVUvuugixS0B2eJleLI381TukSzLLlU1/1RdNxcsu9bmvTpVZFOeE/ke0pXvdCwm0Ni1zLKLT0J9diKyt4ic7G17p0qo1kyq2tpbaxt+Ovs94qXVWu+dEZ/mPtNU9L2mYzEBG7jSdIL22XXFNV2eCoSXzxZgOnChqm5MmYRNxPrsgpFNtf1EyMV852KeIXa+U9FSYpZdZhPUsvszsA9wFFDsbaOB/sAjqRHNMIxkkeicymwnFdZ+vJaFZLZu2EjaphNU2Z0AXKSqb6tqtbe9DVzsHTMMI4Ox5q+6mNLIPYIqu/VArIWgd+Lc/RiGkcFYv6WR6wRVdrcC94jIHuEAb/8u75hhGBlMly5dOOaYY8ySMXKWBv3Z+bgK6AcsF5FvvLA9gHJgNxH5aTiiqg5JpoCGYbRuWuOCykb2EVTZ/QM3+dAwshYrlFODv7+wta06Y2QPgZSdqt6SYjkMo8WxQjk1pMJruWEkSlDnrV95c+2iwzuJyFfJF8tIN5mywHFLYoM4UoONfDQygaDNmP2AvBjhRUDvpEljtBhm1ewqlA0jE4ieCJ+Xt6sIjjdJPMyKFSsYMsSGT/hpUNmJyOm+vyeJyFbf/zzgWGBZKgQz0os1NRnGLvyKJi8vL7KqUiIKpyFirVySTJYsWZLS67dGGrPspnm/ilsuzE8VsBy4JskyGS2AWTVGayRaKYXxK6INGzaw5557AslXMqtWrWLGjBmMHz+e3r2tkSuTaVDZqWoIQESWAQer6oa0SGUYRk4SRHk1trZjNCtXrkyZJTVjxozI76RJk1KShpEcgo7G7J9qQQzDyG5SochamvHjx0csOyOzCaTsROTqho6r6t3JEccwjNZAWHFFexTwKzFIvF+rNSg4P7179zaLrpUQdDTmT6L+FwA9gTJgHWDKzjCyhGy0wAyjyc2YItID+AsJuvgRkcuA63DK8hPgKlV9q4H4hcCNwA+AXsBaYLKq3pdIuoZh1MWUmpFLBLXs6qGqa0XkV8BzwPNBzhGRCcC9wGXAf7zfV0RkoKqujHPaM7i5fJOApUAPoE1T5TaMXCCWIquoqKB9+/aR8HjNiqbUjGykycrOI4RTPkG5GpiqqmFr8CciciJwKXBDdGQROR43l29v30jQ5U0X1zBaH03pE4ulsGbNmsVBBx2UAgkNI/MJOkDl9OggXDPk5UDcJsioaxQCI4DJUYdmAqPinPZd4H3gahE5H9dH+ArwS1UtDZKuYbQWEm1WBLPCDCMoQS27aVH/FefQ9Q2CTyrvhlt1ZW1U+FrguDjn7AUcCVQAZwCdgPtxfXdnRkcWkUm45k569OjBrFmz6l2wpKQksl9QUBDZD4VCqCoVFRV1Cp3oJXuyEdXcdGiRznz70/Lv19bWRvarqqoi+zt37gx03URWyigtLY35TWQ7uZjvXMxzYwQdoBLUyWuyCeEU6/dVdSuAiFwB/FtEeqhqHcWpqlOAKQAjR47UsWPH1rvg2rW7TtmxY5fz9crKSioqKigqKoosDeRdM4nZyTyih47nCqnKdyYP+pg1axaxvolsJxfznYt5bozm9tklwgaghvp9fD2ANXHO+Rb4JqzoPMJV2b7UtxINIy1kslIzDKM+jSo7EckHrgS+D+zvBX8O/BW4T1WrgySkqpUisgAYB/zdd2gczjlsLN4GzhKRdr4+uv283xVB0jWMRGjKSvOmyAwj82nM60ERbgDJkcDrwJ+9QwOBO4FTROQEVa0MmN7dwJMi8h5OkV2C63972EvvCQBVPd+L/zRwE/AXEbkF12d3LzBNVdcFTNMwGiRZox0Nw8hcGrPsfg7sDYxU1Q/9B0RkOPCiF+e2IImp6rOeE9gbcaM5PwbGq2rYSusbFb9URI7DDUp5H9gMvAD8Ikh6hhFPkZWVldGxY0fAlJhh5AKNKbtzgGuiFR2Aqn4gItcBvyagsvPOewh4KM6xsTHC/gscH/T6Rm6SaB/amjVrzHefYeQQjSm7/sDcBo6/jfNibhhpIVkDQ8y5pWHkFo0pux1AV+DrOMe7AsEmBBlGE7GRj4ZhNJfGlN1/gCuAH8c5fgXOujOMpGIKzjCMZNKYsrsDmCMinYE/Ap954QNxngtOAkanTjwjlzAFZxhGqmhQ2anquyJyFm7KwXejDm8CJqjquymSLelUVVWxefNmqqvd1MBYSzhVVtadRZHtK6i0NPFWMfEvoxV+XuBW7g+zadMmiouL6d27d52l3wzDMKJpdFK5qr4kInsCJwL7esGfAzNVtVX1161atYpOnTrRpUsXRKROgVpbW5uTS2dlap5DoVDMfb9SU1U2btzIqlWr6N+/nstFwzCMCEHXxiwjoM+6TKa8vJw99tgjIwv3XCWIUouHiNC1a1fWr1+fEtkMw8geWmqB5xbDFF12Yc/TMIwgpHMhaMMAmmfNGYZhNAVTdmlk48aNjB8/HnCuhvLy8ujWrRsrV66kZ8+efPDBB0lN7/bbb6ddu3ZcddVVgc/p3r17zGbBSZMm8Z3vfIfTTjst0HXiKTQwpWYYRvoxZZdGunbtyrvvusGrfkW0YsUKzjjjjEbPr66uJj/fHplhGEaiBOqzE5EXRORkEcm5Pr50UVNTw2WXXcaIESM45ZRTKCsrA+CEE07guuuu44gjjuDBBx/kgw8+4Pjjj2fUqFGceuqpfPvttwA89NBDDB8+nEMOOYTzzz8/ct0lS5ZwwgknMHDgQB56aNeSpPfddx8jR45k5MiRPPDAA/XkUVV+9rOfcdBBB3HSSSexbl1sJxOhUCiy5efnR7aioqLIVlBQUGczDMNIN0GV1w7gWWCViNwhIvs2dkJr4LbbbqO4uJji4mJKSkr48MMP+eCDDygpKYlst99+OwB77bVXJGzUqFEAXH755XXirl69usmyfPHFF1x88cUsWLCAjh078sILL0SOVVZW8vbbb3PZZZdxzTXX8NRTTzF37lzOP/98brnlFgAmT57MvHnzeO+997jvvvsi537++ee89NJLzJkzhzvuuIOqqio++OADnnzySWbPns2sWbP4y1/+wsKFC+vI8+KLL7J06VI++OADHnnkEd59911EJLBSMwzDyCSCTj04V0Q6AOcCFwC/EJH/4Cab/92bmtDquOmmm7jpppuAuvPsdu6sP33wq6++qhf24IMP8uCDDyZFln79+nHQQQcBMGzYMFas2OWb9swzzwSc4vr00085+eSTIzLvvvvuAAwePJgLLriAU045hVNOOSVy7oknnhhRRt27d2ft2rXMmzePU045hbZt26KqnHrqqcydO5ehQ4dGznv77bc566yzyMvLo1evXowdOzYp+TQMw2gJAncAqeo24P8B/09EBuHWy/xf4D4ReRa4R1VtKfkmUlRUFNnPy8uLNGMClJSUAK5pccCAAcyaNave+c8//zz/+c9/mDFjBn/84x95//33Y163pqYmsExhSy76v1luhmG0NhLugxORXsD/ACcD1cA/gD7AIhG5NrniGX72228/NmzYEBnkUlVVxaeffkptbS2rVq1izJgx3H777WzdupXS0tK41xk1ahTTp09n586d7Nixg5dffpkjjzwyotjy8/MZPXo0//znP8nPz2fTpk3Mnj2b/Px8U3SGYbRKAll2IlKAU3AXAuOAD3ELQ/9NVUu9OKcCTwCTUyOqUVhYyFNPPcW1117Ltm3bqK6u5vLLL2ffffflwgsvZNu2bagql112GZ06dYp7nWHDhvGDH/yA0aNHo6r86Ec/Yvjw4ZHjBQUFnHXWWcyZM4eBAwfSt29fDj/88DTk0DAMIzVIkIWORWQDIMDTwCOquihGnE7Ah6qaEYsUjhw5UufPn18nbMmSJeyzzz6R/7m8NmbYiqupqaljrbVGy23JkiUMGDAgoXNmzZqVc/2QuZhnyM18NyfPIrJAVUcmV6KWJ2if3c9wA1HK40VQ1S04z+aGYRiGkVEEVXZdgQ5AXGVnZD6xVjWprq5uldacYRhGIgQdoHI1bo7d/4nIuSJSkkqhDMMwDCOZBFV2ewInAF8D9wNrReSvInKiraqS2fhXOPFv4cnf/n5LwzCMbCWQolLHm6p6EbA78EOgGPgnsCqF8hmGYRhGs0nYKlPVSmCet63AKT/DMAzDyFgCKzsRaS8iF4jIa8BK3AoqTwN7J5KgiFwmIstEpFxEFojIUQ3EHSsiGmM7IJE0M4nu3bsnFH/OnDmcfvrpAEyfPp3Jkxuexnjrrbfy5ptv1mu2fOuttzjttNOavHZlv3792LBhQ6Phs2bNiixnBvDCCy8wZMgQBgwYwIEHHlhnzc+JEyfSv39/hg4dyvDhw5k3b17CchmGYQQh6KTyacB4YBtuQegbVPX9RBMTkQnAvcBlwH+831dEZKCqrmzg1EHAJt//+g7XcoCTTz65jiKJxc0331zPf1xL8dFHH3Httdfy6quv0r9/f5YtW8a4cePYa6+9GDJkCAB33nknZ555JjNnzuTiiy9m0aJ6UzgNwzCaTdBSsQI4A9hDVa9siqLzuBqYqqqPqOoSVf0J8C1waSPnrVPVNb4t+AKPGcqcOXM44YQT+P73v8/QoUO54IILCE/wnzlzJkOHDuXwww/nxRdfjJzz5JNP8rOf/YytW7ey//77RwaXlJWVse+++1JTU8OkSZN4/vnnCYVCvPrqqxx44IEceuihvPTSS5Hr3HLLLXUsxMGDB7N8+XIAvvvd7zJixAgGDRrElClTmpXHyZMn88tf/pL+/d30y/79+3PDDTdw55131os7evRovvjii2alZxiGEY/AXg+am5CIFAIjqL+c2ExgVCOnzxeRIuBT4HZVfTNOGpOASQA9evSot2Byx44dqays9Mevd43oFWVWr17Na6+9xnHHHUevXr0aETMYqoqq8tFHHzF//nx69uzJsccey9y5cxk+fDiXX345M2bMYO+99474pgufA9ChQweGDBnCnDlzGDNmDNOnT+e4444jFAqhqlRXV7Nt2zYuueQSXn75Zfbee28mTpxIdXU127dvp6KigoKCArZv305NTQ21tbWUlpayfft27r33Xrp06UJZWRljx47l+OOPp2vXrqgqpaWldRaWDss1ZswY8vLyACgtLWW//fZj+/btLF68mEsvvZTt27dH4g8YMID777+f7du3U1VVRVlZGdu3b+f5559n4MCBdeIGpby8PObi2A1RWlqa8DmtnVzMM+RmvnMxz40R2OuBiHQGvgP0BQr9x1T11gCX6AbkAWujwtcCx8U5J2z1ve+l+QPgdREZo6pvRUdW1SnAFHDLhUUvl7NkyRIKC3eJHmS5sNdeey3y+8Mf/rCRLAZDRBARRo4cSe/evQEYMmQIK1eupF27dvTr149993UuA88++2wee+yxyDnh88866yz++c9/cswxx/CPf/yDSy65hIKCAkKhEMXFxXz99dfstddeDBs2DHD9Y1OmTKF9+/YRlz/t27dn+/bthEIh2rVrR/v27bnrrrt4/vnnAfjmm29Ys2YN/fr1Q0QicaLzMnv2bLp16wa4PrvJkyfTvn17QqEQbdu2rXNO27ZtCYVCtG/fnoKCAm6++WbuuusuunfvztSpU+tdPwjFxcWRfAbFlpDKHXIx37mY58YI2md3GDADt4JKd+AboCeueXM5EETZJYyq/hf4ry9onoj0A64D6im7VDBu3DheffVVxo0bl/Rr+xVvXl4e1dXVgc89+eSTufnmm9m0aRMffvghRx99dOBz8/Pz6yj68nK3MM6sWbN47bXXmDdvHiUlJYwdOzZyrCkMHDiQBQsWRPz0ASxYsIBBgwZF/of77AzDMFJJ0D67O4G/AnvgFN4xOAtvPvCHgNfYANQAPaLCewBrAl4D4F0gbZ7Se/XqxQ9/+MOkNWE2xv7778+KFSsizmL//ve/R/zI5eXlRTyFd+3alUMOOYTrr7+ek08+meLi4ohlB3DAAQewfPlyvvzySwD+9re/RdLo168fH3zwAQALFy5k2bJlAGzdupXOnTtTUlLCZ599xjvvvNOsvFx77bX87ne/i/QHLl++nDvuuINrrrmmWdc1DMNIlKDNmEOAH6mqikgNUKSqX4nIz3HTD55q7AKqWikiC3Augv7uOzQO5xMvKENxzZtZSXFxMQ888ACnn346bdq04cgjj4zrm27ChAmcddZZMdvmi4uLmTJlCieddBIlJSUcddRRkf6wM844gyeeeIJBgwYxfPhw9ttvP8B5NX/44YcZMGAA+++/P4cddliz8jJ06FD+8Ic/cMopp1BVVUVBQQF//OMf63hENwzDSAdBXfysB45Q1c9F5L/Alar6fyIyAJivqm0DJeamHjyJm3LwNnAJ8CNgkKquEJEnAFT1fC/+Vbhm0k9wfXbnAb8AzlDVfzaUVra4+Im1eDMkzxXP9u3bm9RPlkmYi59g5GKeITfzbS5+6hPUsvsAOBj4HJgF3C4iPXDKJ/DEKFV9VkS6Ajfi+vw+Bsar6govSt+oUwpxTai9gTKc0jtJVWcETdMwDMMwgiq7XwHh6v+NOI/k9+OU3wWJJKiqDwEPxTk2Nur/H3Ee0Q3DMAyjyQSdZzfft78eNwXBMAzDMFoFCa0rJSIjRWSCiLT1/rcVkcBz9QzDMAyjJQg6z64H8CJwCKC4of9fAXfjpiJcmSoBDcMwDKO5BLXs/oRb6aQrsNMX/nfg+GQLZRiGYRjJJKiyOxb4lapujgr/kvojKI0GWLNmDeeffz6DBg1i1KhRfPe732Xp0qV14jTmXTzRaQdjx44lehpGNPfccw87d+6qx4wfP54tW7YklE4szAWQYRiZQFBl1waojBHeHdeMaQRAVTn77LM56qij+OSTT5g7dy633nor69ata2nR6im7GTNm0KlTp5SmGXYB9OKLL7JkyRJeeuklrr322jpufu68804WLlzI73//ey6++OKUymMYRvYSdHDJHGAi8Evvv4pIHvBz4PUUyJVyQtdcQ97ChZH/jU+tbxwdMoSqGO5rwsyePZuCggIuuuiiSFjYr9tbb73FPffcE3HPc+WVVzJixAh+9KMf0a9fP8455xxeeeUV8vPzmTJlCjfccANffPEF1113HZdccklkAebp06cDcMUVVzBy5EgmTpxYR4ZLL72U999/n7KyMs4880yuvfZa7rvvPlavXs3RRx9Nt27dePPNN+nXrx/z589n8uTJ9OnTh8svvxxw7oHatWvHtddey5133slzzz1HRUUFp512Gr/5zW8Sul8NuQB68skn68Q1F0CGYTSHoJbd9cBFIvIqUATchXO3cwRwQ4pkyzo+/fTThFfnD9O3b18WLlzIUUcdxcSJE5k2bRrvvPMOv/71rxO6zm9/+1vmz5/PokWLmD17Nh9//DE//elP6dWrF2+++SZvvlnXe9KECRN47rnnIv+fe+45JkyYwMyZM1m6dCnvvfceCxcuZMGCBcyZMydmmkcffTRDhw5l6NCh/PjHP46Ef/LJJ4wYMaJO3JEjR/LJJ5/Uu8bLL7/MgQcemFBeDcMwwgSdZ/epiByIc7dTARTjBqc8qKqtcp3K2rvuahXLhYU59dRTATjwwAMpLS2lffv2EXc9ifStPffcc0yZMoXq6mq+/fZbPvvsMw4//PC48YcNG8a6detYvXo169evp3PnzvTp04d7772XmTNnRpR3aWkpS5cuZfTo0fWu8eabb9ZzARSU6667jttvv53u3bvz6KOPBj7PMAzDT+A5cqq6BkjMjDDqMGDAgIivuGjiud0JE3aaGgqF6jhQDYVCVFdXN3o+wLJly5g8eTLvv/8+nTt3ZuLEiVRUVDQq91lnncW0adNYs2YNEyZMAFz/4w033NCsfjRzAWQYRrposBlTRPoG2dIlbGtn7NixVFRU1LFQFi9ezNtvv03fvn1ZsmQJFRUVbNmypV5zYmPsueeefPrpp5HzX3+9flfqtm3baNu2LR07dmTt2rW88sorkWNhR66xmDBhAs888wzTpk3jrLPOAuCEE07gsccei3hk+OabbxIeaGMugAzDSBeNWXbLaXjshnjH85IlUDYjIjzzzDNcf/313H333RQXF7PnnnsyefJk9txzT84880xGjBhB//79GTZsGHl5wW9rnz59+N73vsfgwYMj50dz0EEHMWzYMA444AD69OnDEUccETk2adIkTjzxxEjfnZ9Bgwaxfft29thjD3r27AnA8ccfz5IlSyJNoO3ateOvf/0ru+22W2CZzQWQYRjpokEXPyLiHz0gwGzg+8AqfzxVXZAS6ZpBa3Dxk2r3PUEwFz+5Qy7mGXIz3+bipz4NWnbRSkxEaoHFqvpVSqUyDMMwjCSS0ELQhmEYhtEaMWVnGIZhZD1NUXbJWGzEMAzDMNJGg312IvJSVFAx8IiI+D0foKqnJlswwzAMw0gWjU092Bj1/6+pEsQwDMMwUkVjozEvSJcgLcHGjbt0uao2e+pBly5dkiGWYRiGkWRsgIphGIaR9ZiySzOrVq3ixBNPZPjw4QwbNowHHnigpUUyDMPIegIvBG0kh4KCAv7whz8wbNgwduzYwaGHHspxxx1XZzFkwzAMI7mk3bITkctEZJmIlIvIAhE5KuB5R4pItYh8nGoZU0nPnj0j61a2b9+eAw44gNWrVwPOc/fo0aMZOHAgoVAIEeHmm29uSXENwzCygrRadiIyAbgXuAz4j/f7iogMVNWVDZzXGXgC5xV9j3TImg6WL1/ORx99xCGHHEJ5eTkTJkzgiSee4JBDDuGmm26ivLw8Ye/fhmEYRn3SbdldDUxV1UdUdYmq/gT4FucUtiEeBR4H5qVawHRRWlrKhAkTmDx5Mh06dOC1115j+PDhHHLIIQAMGTKETZs2ZawzWcMwjNZE2iw7ESkERgDRbqpnAqMaOO8yoAdwO3BTI2lMAiYB9OjRg1mzZtU53rFjRyorKyP//V4PwjTkBaIxgpxbU1NDVVUVEyZM4Hvf+x4nnXQSlZWVLFiwgP322y/iU+6dd95h4MCBcX3MJYuampqUp5FqysvL6z3rxigtLU34nNZOLuYZcjPfuZjnxkhnM2Y3nN+7tVHha4HjYp0gIgfivKMfpqo1jVk5qjoFmALOxU+0i4slS5ZQWFgY+e93q5OMeXZBzhURLrvsMgYMGFDHSWmvXr144403aN++PZ9//jnTp09n7ty5KXe/kw0ufoqLi2P672sIc/uSO+RivnMxz42RsaMxRaQIeBa4VlWXtbQ8yWLu3Lk8/fTTDB48mJEjncuo2267jXPOOYeXXnqJwYMH061bN/72t7/RtWvXFpbWMAwjO0instsA1OCaJP30ANbEiN8TGAD8RUT+4oWFABGRamC8qs5sjkB+ZZIu561HHHEE5eXlQH2HrS+//HJK0zYMw8hV0jZARVUrgQXAuKhD44C5MU75BjgQGOrbHga+8PZjnWMYhmEY9Uh3M+bdwJMi8h7wNnAJ0AunxBCRJwBU9XxVrQLqzKkTkXVAhaq2qrl2fgsu2pozDMMwUk9alZ2qPisiXYEbcc2UH+OaI1d4UfqmQQYbzp9FNGf0rGEYuUPaV1BR1YdUtZ+qFqnqCFWd4zs2VlXHNnDuLao6uKlpFxcXs2nTJisgswRVZePGjRQXF7e0KIZhZDgZOxozFfTu3Zsvv/ySDRs2AHWtgnhTDxJRjPEsRn+4fz8vLy/wtVNFeXl5q1YWxcXF9O7du6XFMAwjw8kpZVdQUEDnzp0j/3fs2BHZr6yspKKigsLCQmpqaiLhTVV2fkXmn9vXtm3byH6PHtEDU9PPrFmzEp6jZhiG0dowFz+GYRhG1mPKzjAMw8h6TNkZhmEYWY9k68hEEVkPrGg0Yl264VZ6ySVyMc+Qm/nOxTxDbua7OXneU1W7J1OYTCBrlV1TEJH5qjqypeVIJ7mYZ8jNfOdiniE3852LeW4Ma8Y0DMMwsh5TdoZhGEbWY8quLlNaWoAWIBfzDLmZ71zMM+RmvnMxzw1ifXaGYRhG1mOWnWEYhpH1mLIzDMMwsh5TdoZhGEbWY8oOEJHLRGSZiJSLyAIROaqlZUoWInKDiLwvIttEZL2IvCwig6PiiIjcIiKrRaRMRGaJyKCWkjnZePdAReQBX1hW5llEeorI496zLheRT0VkjO941uVbRPJE5DbfN7xMRG4XkXxfnFadbxEZLSIvicg33rs8Mep4o/kTkc4i8qSIbPW2J0WkUzrz0ZLkvLITkQnAvcAdwDBgLvCKiKTckWyaGAs8BIwCjgGqgddEpIsvzvXANcBPgIOBdcCrItI+vaImHxE5DJgELIo6lHV59gqutwEBTgIG4PK3zhct6/IN/By4HPgpcABwpff/Bl+c1p7vdjhn11cCZTGOB8nf08Bw4ERvGw48mUKZM4uwH7dc3YB3gUeiwpYCv2tp2VKU33ZADXCK91+Ab4Ff+eK0AbYDF7e0vM3Ma0fgS+BoYBbwQDbnGVdhe7uB49ma7+nA41FhjwPTszHfQCkwMZHniqv4KHCEL86RXtj+LZ2ndGw5bdmJSCEwApgZdWgmzhLKRtrjLPrN3v/+wO747oGqlgFzaP33YAowTVXfjArP1jx/F3hXRJ4VkXUislBErpBdjhazNd//AY4WkQMARGQgrhVjhnc8W/MdJkj+Dscpybm+894GdpAd96BRcsp5awy6AXnA2qjwtcBx6RcnLdwLLATmef93935j3YM90iRT0hGRi4B9gPNiHM7KPAN7AZcBfwJ+DwwF7veOPUD25vsPuErcpyJSgyvXfquqD3nHszXfYYLkb3dgvXomHYCqqois852f1eS6ssspRORuXNPFkapa01j81oqI7I9r0jtSVataWp40EgLmq2q4r+pDEdkX13/1QPzTWj0TgPOB7wOf4JT8vSKyTFUfbUnBjMwhp5sxcS4waoAeUeE9gDXpFyd1iMifgHOAY1T1K9+hcD6z6R4cjrPaPxGRahGpBsYAl3n7G7142ZRncP02n0aFLQHCg62y8VkD3AlMVtVnVHWxqj4J3M2uASrZmu8wQfK3Bujua9LG29+N7LgHjZLTyk5VK4EFwLioQ+Oo27bdqhGRe9ml6D6LOrwM97KP88UvBo6i9d6DF4ADcTX88DYfeMbb/5zsyzO4Ppj9o8L2Y5dfx2x81gAluEqrnxp2lW/Zmu8wQfI3Dzc47XDfeYcDbcmOe9A4LT1CpqU3XBNIJfBj3Iile3EduXu2tGxJyt+DwDZch/3uvq2dL87Pga3A6cBgnFJYDbRvafmTeB9m4Y3GzNY844acVwG/wvVXnuXl8fIsz/dUYBVuukU/4DRgPXBXtuQbp6iGettO4GZvv2/Q/AGvAItxSu5wb//lls5b2u5hSwuQCRuuU385UIGz9Ea3tExJzJvG2W7xxRHgFlwzWDkwGxjc0rIn+T5EK7uszLNX4H/k5elz3NwzyeZ84wan3IOzYMuAr3B9tsXZkm/cfNlY3/HUoPkDOgN/xVV+t3n7nVo6b+nazOuBYRiGkfXkdJ+dYRiGkRuYsjMMwzCyHlN2hmEYRtZjys4wDMPIekzZGYZhGFmPKTvDMAwj6zFlZxgxEJGpIjK9peXwIyL/IyJLvSXQpibpmhNFpDTBc2b5HeEaRmvAlJ2RcXiKRkXkpqjwsV54t5aSrYV5FPgHsCfOiWcEEenn3ZuGtltiXPNZnLcEw8hqzOuBkamUA9eJyMOqur6lhUkWIlKgTfDE4Hkh7wr8W1W/iRHla6Cn7/+lwIW4JcTC1LHgPFnKiO352jCyCrPsjEzlTdwSbjfFixDL0vNZOCOj4nxHRBaISJmIvCUivUVkjIh8JCKlIjJdRLrGSONGEVnrxfmLiLTxHRMRuV5EvvSuu1hEzoshyzki8oaIlAEXx8lLZxF5XEQ2e9d6TUQGhfPALme7b3jXHOs/X1VrVHVNeMN5qa7x/T8A2C4i40XkPRGpBE6IbsYUkb1F5EURWSMiO0TkAxE5Od4z8M45XUQWeXJvEpHZIhK9Ar9htCim7IxMpRb4BXCJiOydhOv9BrgKOBS3RuCzuMV0J+HWHRyEW1vQzxjgIOBY4AzgeJyj0DC3Az/C+YsbCPwO+F8ROSnqOr8DHvLivBBHvqmebP8DHIJb7Pf/POU615MPT46eNH2l+j8AN+KU37sxjrfDLRg8Dpf3fwD/DHsBj0ZEdsctOvw4biH10cCTTZTNMFKGNWMaGYuqzhCRt4HfAmc383I3qepbACLyMM6D9whV/cALexw4M+qcGuACVS0FPhaRnwOPikjYT9rVwPHh6wLLROQQnPL7l+8696vqtHiCeQ5WTwXGqOocL+wHwErgXFX9sziP0gCbPEutqdyiqjN9adc5qKof4RaSDvNbETkFd29uj3G9XkABME1Vw66EPm6GfIaREkzZGZnOz4F5InJnM6+zyLe/1vtdHBW2W/Q5nqILMw8oBPYGioBinPXlX029ANf86md+I7INwFmy88IBqrpVRBbjrMFk0qAsItIW+DVwMs6CLMDlc1GcUz4CXsNVBmZ6+9OyqZ/VyA6sGdPIaFT1PVxT2h9jHK71fv3mSUGcS/kHhah37eiwRL6HcNxTqOskdhCuudPPjgSuG02y3ZI0JstknB+8m3DNuEOB93BKvh6qWoPL7/E4hfgjYKmIHJQkeQ0jKZiyM1oDv8R5XT4xKjxsPfhHIQ5NYroHepZOmMNwjn6/BD7F+T/cU1W/iNpWxLpYAyzBfYsRL9Ii0gHnbf3TZuUgcY4EnlDVf6jqIpxT1Ab7TNUxT1V/gxv9uRrnFNkwMgZrxjQyHlX9QkSmEDW3DPgCN+T+FhH5Bc5L9Y1JTDofeExEbsX1Tf0eeERVdwCIyGRgsriOrzm4wR2HAbWqOiVoIqq6VERexA1umQRswfVTbgOeTmJ+gvA5cJonTxWuSbM4XmQROQw4Dvg3ril4GNCH9Ctpw2gQs+yM1sKtQLU/wGuGPBs3Kfoj3IjLXyYxzdnAJ7hpEM8DbwDX+47fhBvBea0X71XcaMllTUjrAlxz4UvebwlwojcPLp1cDawD3sKNynzH24/HVuAIYDqwFLgLuE1V/5piOQ0jIcxTuWEYhpH1mGVnGIZhZD2m7AzDMIysx5SdYRiGkfWYsjMMwzCyHlN2hmEYRtZjys4wDMPIekzZGYZhGFmPKTvDMAwj6/n/vVu6N+ovOFQAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "another_simulation_backend = Aer.get_backend('aer_simulator_matrix_product_state')\n", + "qv_exp2 = qe.quantum_volume.QuantumVolume(qubits, simulation_backend=another_simulation_backend)\n", + "expdata3 = qv_exp2.run(backend)\n", + "print(expdata3)" + ] + }, + { + "cell_type": "markdown", + "id": "c184fc22", + "metadata": {}, + "source": [ + "### Running Quantum Volume using a batch experiment" + ] + }, + { + "cell_type": "markdown", + "id": "1969132d", + "metadata": {}, + "source": [ + "Run the experiment with an increasing number of qubits to check what is the maximum Quantum Volume for the specific device. To reach the real system's Quantum Volume, one must run more trials and additional enhancements might be required (readout error mitigation for example)." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "64543a6b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---------------------------------------------------\n", + "Experiment: BatchExperiment\n", + "Experiment ID: 8301514e-576c-4be0-a895-19f40a00ac09\n", + "Status: DONE\n", + "Component Experiments: 4\n", + "Circuits: 1000\n", + "Analysis Results: 1\n", + "---------------------------------------------------\n", + "Last Analysis Result\n", + "- experiment_types: ['QuantumVolume', 'QuantumVolume', 'QuantumVolume', 'QuantumVolume']\n", + "- experiment_ids: ['356c75bb-7d65-463c-a650-aff4ee0d6f8b', 'a22d9045-ff2c-4e07-947e-ef8092f1af0f', '131bc99c-9636-48ab-9b9f-c916725a396a', 'c1b5eebf-8a17-4644-8419-f98d6cd94efb']\n", + "- experiment_qubits: [(0, 1, 2), (0, 1, 2, 3), (0, 1, 2, 3, 4), (0, 1, 2, 3, 4, 5)]\n", + "- success: True\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "exps = [qe.quantum_volume.QuantumVolume(i) for i in range(3,7)]\n", + "for exp in exps:\n", + " exp.set_experiment_options(trials=250)\n", + " exp.set_transpile_options(optimization_level=3)\n", + "batch_exp = qe.composite.BatchExperiment(exps)\n", + "batch_expdata = batch_exp.run(backend)\n", + "print(batch_expdata)" + ] + }, + { + "cell_type": "markdown", + "id": "27a05f86", + "metadata": {}, + "source": [ + "Extracting the maximum Quantum Volume." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "0e554382", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max quantum volume is: 8\n" + ] + } + ], + "source": [ + "qv = [batch_expdata.component_experiment_data(i).analysis_result(-1)['quantum volume'] \n", + " for i in range(batch_exp.num_experiments)]\n", + "print(\"Max quantum volume is: \" + str(max(qv)))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ddc10ed3", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/qiskit_experiments/__init__.py b/qiskit_experiments/__init__.py index 9d54d9586b..d623191128 100644 --- a/qiskit_experiments/__init__.py +++ b/qiskit_experiments/__init__.py @@ -59,3 +59,4 @@ from . import analysis from . import randomized_benchmarking from . import tomography +from . import quantum_volume diff --git a/qiskit_experiments/quantum_volume/__init__.py b/qiskit_experiments/quantum_volume/__init__.py new file mode 100644 index 0000000000..dc38edad0c --- /dev/null +++ b/qiskit_experiments/quantum_volume/__init__.py @@ -0,0 +1,15 @@ +# This code is part of Qiskit. +# +# (C) Copyright IBM 2021. +# +# This code is licensed under the Apache License, Version 2.0. You may +# obtain a copy of this license in the LICENSE.txt file in the root directory +# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. +# +# Any modifications or derivative works of this code must retain this +# copyright notice, and modified files need to carry a notice indicating +# that they have been altered from the originals. + +"""Quantum Volume Experiment Classes.""" +from .qv_experiment import QuantumVolume +from .qv_analysis import QuantumVolumeAnalysis diff --git a/qiskit_experiments/quantum_volume/qv_analysis.py b/qiskit_experiments/quantum_volume/qv_analysis.py new file mode 100644 index 0000000000..bae5c6d77d --- /dev/null +++ b/qiskit_experiments/quantum_volume/qv_analysis.py @@ -0,0 +1,266 @@ +# This code is part of Qiskit. +# +# (C) Copyright IBM 2021. +# +# This code is licensed under the Apache License, Version 2.0. You may +# obtain a copy of this license in the LICENSE.txt file in the root directory +# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. +# +# Any modifications or derivative works of this code must retain this +# copyright notice, and modified files need to carry a notice indicating +# that they have been altered from the originals. +""" +Quantum Volume analysis class. +""" + +import math +import warnings +from typing import Optional +import numpy as np + +from qiskit_experiments.base_analysis import BaseAnalysis +from qiskit_experiments.base_analysis import AnalysisResult +from qiskit_experiments.analysis import plotting + + +class QuantumVolumeAnalysis(BaseAnalysis): + """Quantum Volume Analysis class.""" + + # pylint: disable = arguments-differ + def _run_analysis( + self, + experiment_data, + plot: bool = True, + ax: Optional["plotting.pyplot.AxesSubplot"] = None, + ): + """Run analysis on circuit data. + Args: + experiment_data (ExperimentData): the experiment data to analyze. + plot: If True generate a plot of fitted data. + ax: Optional, matplotlib axis to add plot to. + Returns: + tuple: A pair ``(analysis_result, figures)`` where + ``analysis_results`` may be a single or list of + AnalysisResult objects, and ``figures`` may be + None, a single figure, or a list of figures. + """ + depth = experiment_data.experiment.num_qubits + data = experiment_data.data() + num_trials = len(data) + heavy_output_prob_exp = [] + + for data_trial in data: + heavy_output = self._calc_ideal_heavy_output( + data_trial["metadata"]["ideal_probabilities"], data_trial["metadata"]["depth"] + ) + heavy_output_prob_exp.append( + self._calc_exp_heavy_output_probability(data_trial, heavy_output) + ) + + analysis_result = AnalysisResult( + self._calc_quantum_volume(heavy_output_prob_exp, depth, num_trials) + ) + + if plot and plotting.HAS_MATPLOTLIB: + ax = self._format_plot(ax, analysis_result) + figures = [ax.get_figure()] + else: + figures = None + return [analysis_result], figures + + @staticmethod + def _calc_ideal_heavy_output(probabilities_vector, depth): + """ + Calculate the bit strings of the heavy output for the ideal simulation + Args: + ideal_data (dict): the simulation result of the ideal circuit + Returns: + list: the bit strings of the heavy output + """ + + format_spec = "{0:0%db}" % depth + # Keys are bit strings and values are probabilities of observing those strings + all_output_prob_ideal = { + format_spec.format(b): float(np.real(probabilities_vector[b])) + for b in range(2 ** depth) + } + + median_probabilities = float(np.real(np.median(probabilities_vector))) + heavy_strings = list( + filter( + lambda x: all_output_prob_ideal[x] > median_probabilities, + list(all_output_prob_ideal.keys()), + ) + ) + return heavy_strings + + @staticmethod + def _calc_exp_heavy_output_probability(data, heavy_outputs): + """ + Calculate the probability of measuring heavy output string in the data + Args: + data (dict): the result of the circuit exectution + heavy_outputs (list): the bit strings of the heavy output from the ideal simulation + Returns: + int: heavy output probability + """ + circ_shots = sum(data["counts"].values()) + + # Calculate the number of heavy output counts in the experiment + heavy_output_counts = sum([data["counts"].get(value, 0) for value in heavy_outputs]) + + # Calculate the experimental heavy output probability + return heavy_output_counts / circ_shots + + @staticmethod + def _calc_z_value(mean, sigma): + """Calculate z value using mean and sigma. + + Args: + mean (float): mean + sigma (float): standard deviation + + Returns: + float: z_value in standard normal distibution. + """ + + if sigma == 0: + # Assign a small value for sigma if sigma = 0 + sigma = 1e-10 + warnings.warn("Standard deviation sigma should not be zero.") + + z_value = (mean - 2 / 3) / sigma + + return z_value + + @staticmethod + def _calc_confidence_level(z_value): + """Calculate confidence level using z value. + + Accumulative probability for standard normal distribution + in [-z, +infinity] is 1/2 (1 + erf(z/sqrt(2))), + where z = (X - mu)/sigma = (hmean - 2/3)/sigma + + Args: + z_value (float): z value in in standard normal distibution. + + Returns: + float: confidence level in decimal (not percentage). + """ + + confidence_level = 0.5 * (1 + math.erf(z_value / 2 ** 0.5)) + + return confidence_level + + def _calc_quantum_volume(self, heavy_output_prob_exp, depth, trials): + """ + Calc the quantum volume of the analysed system. + quantum volume is determined by the largest successful depth. + A depth is successful if it has 'mean heavy-output probability' > 2/3 with confidence + level > 0.977 (corresponding to z_value = 2), and at least 100 trials have been ran. + we assume the error (standard deviation) of the heavy output probability is due to a + binomial distribution. standard deviation for binomial distribution is sqrt(np(1-p)), + where n is the number of trials and p is the success probability. + + Returns: + dict: quantum volume calculations - + the quantum volume, + whether the results passed the threshold, + the confidence of the result, + the heavy output probability for each trial, + the mean heavy output probability, + the error of the heavy output probability, + the depth of the circuit, + the number of trials ran + """ + quantum_volume = 1 + success = False + + mean_hop = np.mean(heavy_output_prob_exp) + sigma_hop = (mean_hop * ((1.0 - mean_hop) / trials)) ** 0.5 + z = 2 + threshold = 2 / 3 + z * sigma_hop + z_value = self._calc_z_value(mean_hop, sigma_hop) + confidence_level = self._calc_confidence_level(z_value) + # Must have at least 100 trials + if trials < 100: + warnings.warn("Must use at least 100 trials to consider Quantum Volume as successful.") + if mean_hop > threshold and trials >= 100: + quantum_volume = 2 ** depth + success = True + + result = { + "quantum volume": quantum_volume, + "qv success": success, + "confidence": confidence_level, + "heavy output probability": heavy_output_prob_exp, + "mean hop": mean_hop, + "sigma": sigma_hop, + "depth": depth, + "trials": trials, + } + return result + + @staticmethod + def _format_plot(ax, analysis_result): + """ + Format the QV plot + Args: + ax: matplotlib axis to add plot to. + analysis_result: the results of the experimnt + Returns: + AxesSubPlot: the matplotlib axes containing the plot. + """ + trial_list = np.arange(1, analysis_result["trials"] + 1) # x data + + hop_accumulative = np.cumsum(analysis_result["heavy output probability"]) / trial_list + two_sigma = 2 * (hop_accumulative * (1 - hop_accumulative) / trial_list) ** 0.5 + + # Plot inidivual HOP as scatter + ax = plotting.plot_scatter( + trial_list, + analysis_result["heavy output probability"], + ax=ax, + s=3, + zorder=3, + label="Individual HOP", + ) + # Plot accumulative HOP + ax.plot(trial_list, hop_accumulative, color="r", label="Cumulative HOP") + # Plot two-sigma shaded area + ax = plotting.plot_errorbar( + trial_list, + hop_accumulative, + two_sigma, + ax=ax, + fmt="none", + ecolor="lightgray", + elinewidth=20, + capsize=0, + alpha=0.5, + label="2$\\sigma$", + ) + # Plot 2/3 success threshold + ax.axhline(2 / 3, color="k", linestyle="dashed", linewidth=1, label="Threshold") + + ax.set_ylim( + max(hop_accumulative[-1] - 4 * two_sigma[-1], 0), + min(hop_accumulative[-1] + 4 * two_sigma[-1], 1), + ) + + ax.set_xlabel("Number of Trials", fontsize=14) + ax.set_ylabel("Heavy Output Probability", fontsize=14) + + ax.set_title( + "Quantum Volume experiment for depth " + + str(analysis_result["depth"]) + + " - accumulative hop", + fontsize=14, + ) + + # Re-arrange legend order + handles, labels = ax.get_legend_handles_labels() + handles = [handles[1], handles[2], handles[0], handles[3]] + labels = [labels[1], labels[2], labels[0], labels[3]] + ax.legend(handles, labels) + return ax diff --git a/qiskit_experiments/quantum_volume/qv_experiment.py b/qiskit_experiments/quantum_volume/qv_experiment.py new file mode 100644 index 0000000000..5bfa3a6c7e --- /dev/null +++ b/qiskit_experiments/quantum_volume/qv_experiment.py @@ -0,0 +1,131 @@ +# This code is part of Qiskit. +# +# (C) Copyright IBM 2021. +# +# This code is licensed under the Apache License, Version 2.0. You may +# obtain a copy of this license in the LICENSE.txt file in the root directory +# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. +# +# Any modifications or derivative works of this code must retain this +# copyright notice, and modified files need to carry a notice indicating +# that they have been altered from the originals. +""" +Quantum Volume Experiment class. +""" + +from typing import Union, Iterable, Optional, List +from numpy.random import Generator, default_rng +from qiskit.providers.backend import Backend +from qiskit.providers.options import Options + +try: + from qiskit import Aer + + HAS_SIMULATION_BACKEND = True +except ImportError: + HAS_SIMULATION_BACKEND = False + +from qiskit import QuantumCircuit +from qiskit.circuit.library import QuantumVolume as QuantumVolumeCircuit +from qiskit import transpile +from qiskit_experiments.base_experiment import BaseExperiment +from .qv_analysis import QuantumVolumeAnalysis + + +class QuantumVolume(BaseExperiment): + """Quantum Volume Experiment class + + Experiment Options: + trials (int): Optional, number of times to generate new Quantum Volume circuits and + calculate their heavy output. + """ + + # Analysis class for experiment + __analysis_class__ = QuantumVolumeAnalysis + + def __init__( + self, + qubits: Union[int, Iterable[int]], + trials: Optional[int] = 100, + seed: Optional[Union[int, Generator]] = None, + simulation_backend: Optional[Backend] = None, + ): + """Quantum Volume experiment + Args: + qubits: the number of qubits or list of + physical qubits for the experiment. + trials: number of trials to run the quantum volume circuit. + seed: Seed or generator object for random number + generation. If None default_rng will be used. + simulation_backend: the simulator backend to use to generate + the expected results. the simulator must have a 'save_probabilities' method. + if None Aer simulator will be used (in case Aer is not installed - + qiskit.quantum_info will be used). + """ + super().__init__(qubits) + + # Set configurable options + self.set_experiment_options(trials=trials) + + if not isinstance(seed, Generator): + self._rng = default_rng(seed=seed) + else: + self._rng = seed + + if not simulation_backend and HAS_SIMULATION_BACKEND: + self._simulation_backend = Aer.get_backend("aer_simulator") + else: + self._simulation_backend = simulation_backend + + @classmethod + def _default_experiment_options(cls): + return Options(trials=100) + + def _get_ideal_data(self, circuit, **run_options): + """ + In case the user does not have Aer installed - use Terra to calculate the ideal state + Args: + circuit: the circuit to extract the ideal data from + Returns: + dict: the probability for each state in the circuit + """ + ideal_circuit = circuit.remove_final_measurements(inplace=False) + if self._simulation_backend: + ideal_circuit.save_probabilities() + # always transpile with optimization_level 0, even if the non ideal circuits will run + # with different optimization level, because we need to compare the results to the + # exact generated probabilities + ideal_circuit = transpile(ideal_circuit, self._simulation_backend, optimization_level=0) + + ideal_result = self._simulation_backend.run(ideal_circuit, **run_options).result() + probabilities = ideal_result.data().get("probabilities") + else: + from qiskit.quantum_info import Statevector + + state_vector = Statevector(ideal_circuit) + probabilities = state_vector.probabilities() + return probabilities + + def circuits(self, backend: Optional[Backend] = None) -> List[QuantumCircuit]: + """Return a list of QV circuits, without the measurement instruction + Args: + backend (Backend): Optional, a backend object. + Returns: + List[QuantumCircuit]: A list of :class:`QuantumCircuit`s. + """ + circuits = [] + depth = self._num_qubits + + # Note: the trials numbering in the metadata is starting from 1 for each new experiment run + for trial in range(1, self.experiment_options.trials + 1): + qv_circ = QuantumVolumeCircuit(depth, depth, seed=self._rng) + qv_circ.measure_active() + qv_circ.metadata = { + "experiment_type": self._type, + "depth": depth, + "trial": trial, + "qubits": self.physical_qubits, + "ideal_probabilities": self._get_ideal_data(qv_circ), + } + circuits.append(qv_circ) + return circuits diff --git a/test/quantum_volume/__init__.py b/test/quantum_volume/__init__.py new file mode 100644 index 0000000000..e69de29bb2 diff --git a/test/quantum_volume/qv_data_70_trials.json b/test/quantum_volume/qv_data_70_trials.json new file mode 100644 index 0000000000..b938aa07dd --- /dev/null +++ b/test/quantum_volume/qv_data_70_trials.json @@ -0,0 +1 @@ +[{"counts": {"000": 58, "010": 3, "001": 381, "100": 21, "110": 32, "101": 311, "111": 43, "011": 175}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.06090981922741352, 0.34784828887489516, 0.003440728125794299, 0.17695071101919052, 0.020399173510863133, 0.3133909057297853, 0.025208906876148903, 0.051851466635908984], "qubits": [0, 1, 2], "trial": 1}}, {"counts": {"010": 20, "000": 57, "001": 206, "100": 51, "110": 16, "101": 248, "011": 285, "111": 141}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.052795588044998266, 0.2036758692494191, 0.022228933273601266, 0.267947067954847, 0.04662254705199523, 0.23689106637344887, 0.014644198017660856, 0.15519473003402912], "qubits": [0, 1, 2], "trial": 2}}, {"counts": {"111": 49, "011": 107, "101": 48, "100": 202, "001": 99, "110": 96, "010": 77, "000": 346}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.33890568849498903, 0.08470251706991236, 0.09032425795803736, 0.1176818050135521, 0.20023444940934337, 0.040376649609833996, 0.07845708684381617, 0.04931754560051594], "qubits": [0, 1, 2], "trial": 3}}, {"counts": {"100": 76, "001": 214, "110": 199, "000": 90, "010": 108, "101": 149, "111": 37, "011": 151}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.07843754575087986, 0.21907218041759557, 0.11588111917837404, 0.14344927568779245, 0.07247077881185233, 0.13642212295586695, 0.19928429396422193, 0.03498268323341709], "qubits": [0, 1, 2], "trial": 4}}, {"counts": {"011": 289, "111": 42, "010": 74, "000": 33, "101": 358, "001": 12, "110": 51, "100": 165}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.03146764504989369, 0.010672855981310281, 0.0698472783532379, 0.2805983021183489, 0.1697510376611356, 0.34490526483543, 0.05675488127108915, 0.03600273472955497], "qubits": [0, 1, 2], "trial": 5}}, {"counts": {"000": 8, "010": 37, "011": 95, "111": 450, "110": 185, "100": 30, "001": 219}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.014712440805189736, 0.20198281763070447, 0.03951483459147206, 0.10661868457522322, 0.028973459527277957, 0.0030555802881049895, 0.1683968533591363, 0.43674532922289167], "qubits": [0, 1, 2], "trial": 6}}, {"counts": {"100": 109, "101": 287, "000": 478, "001": 150}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.4652838497088344, 0.1370319640546792, 0.0, 0.0, 0.11184911640086283, 0.2858350698356241, 0.0, 0.0], "qubits": [0, 1, 2], "trial": 7}}, {"counts": {"001": 101, "000": 392, "101": 388, "100": 143}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.41691761271850697, 0.09802206331301935, 0.0, 0.0, 0.12170171915272401, 0.36335860481574933, 0.0, 0.0], "qubits": [0, 1, 2], "trial": 8}}, {"counts": {"011": 345, "111": 106, "000": 71, "010": 154, "100": 6, "001": 222, "110": 53, "101": 67}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.06040824842131547, 0.22360037606154226, 0.16703416728799328, 0.3155515725112804, 0.00574389769671973, 0.06422576739914752, 0.05653984347944168, 0.10689612714255917], "qubits": [0, 1, 2], "trial": 9}}, {"counts": {"000": 40, "101": 113, "001": 331, "100": 540}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.034145937220083696, 0.3275471371847169, 0.0, 0.0, 0.5265934908959305, 0.11171343469926844, 0.0, 0.0], "qubits": [0, 1, 2], "trial": 10}}, {"counts": {"001": 1, "101": 397, "000": 310, "100": 316}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.31362955944335913, 0.0012492306942707208, 0.0, 0.0, 0.3045171469773979, 0.380604062884972, 0.0, 0.0], "qubits": [0, 1, 2], "trial": 11}}, {"counts": {"001": 45, "100": 38, "110": 39, "111": 137, "011": 277, "101": 58, "010": 285, "000": 145}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.14084298473415383, 0.04241815646129184, 0.2787065997143041, 0.2763086311775977, 0.04767796566311971, 0.04777093880194504, 0.030317360310517225, 0.1359573631370707], "qubits": [0, 1, 2], "trial": 12}}, {"counts": {"110": 42, "100": 238, "001": 39, "011": 21, "111": 85, "000": 115, "010": 93, "101": 391}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.10490558188826622, 0.03734373973356664, 0.0846661393845946, 0.012178280925959687, 0.2450469596449601, 0.3830889806436624, 0.0410475620559563, 0.09172275572303307], "qubits": [0, 1, 2], "trial": 13}}, {"counts": {"100": 2, "110": 34, "001": 238, "011": 12, "111": 66, "010": 41, "000": 76, "101": 555}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.0721384781481662, 0.2132011346169562, 0.0382461870322736, 0.01006147040056322, 0.0012564152657445, 0.5640473347441018, 0.03581099593386722, 0.06523798385832678], "qubits": [0, 1, 2], "trial": 14}}, {"counts": {"101": 116, "011": 53, "111": 105, "100": 19, "110": 182, "001": 65, "010": 104, "000": 380}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.35047461795366364, 0.07295546107526876, 0.11429248870690438, 0.046387738341356205, 0.016403322359457823, 0.11703328502400306, 0.18840822678605898, 0.09404485975328614], "qubits": [0, 1, 2], "trial": 15}}, {"counts": {"101": 6, "011": 121, "111": 316, "010": 20, "000": 125, "001": 3, "110": 218, "100": 215}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.12537608375594167, 0.004147254265659097, 0.01888208426232345, 0.127828626942106, 0.20712391654423107, 0.004956839798677847, 0.20103868882942894, 0.31064650560163193], "qubits": [0, 1, 2], "trial": 16}}, {"counts": {"001": 104, "011": 2, "000": 240, "010": 678}, "metadata": {"depth": 3, "experiment_type": "QuantumVolume", "ideal_probabilities": 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0.12355466190456152, 0.1979354663174222, 0.06119254500501248, 0.04094029801329483, 0.015272156997753682, 0.1869412455139374, 0.04700024278349229, 0.004478511953780364, 0.015794142684020854, 0.04121015307234065, 0.015312382952522876, 0.1710552283912739, 0.03913100284420806], "qubits": [0, 1, 2, 3], "trial": 294}}, {"counts": {"1110": 7, "0010": 11, "0110": 31, "1000": 54, "1001": 87, "0000": 36, "1010": 14, "1011": 53, "1111": 37, "1101": 60, "0001": 91, "0011": 37, "0111": 136, "1100": 33, "0100": 110, "0101": 227}, "metadata": {"depth": 4, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.023247141529864505, 0.053633853148748835, 0.0011076336822463998, 0.03120623934814975, 0.12326578027388758, 0.2843884590706566, 0.005873123365483187, 0.16546814745897892, 0.04472863857118222, 0.10319415957391619, 0.002131141438564455, 0.0600423324810089, 0.02165435696630157, 0.04995911433107598, 0.0010317438431064773, 0.029068134916827304], "qubits": [0, 1, 2, 3], "trial": 295}}, {"counts": {"1010": 20, "1011": 13, "0010": 53, "1000": 55, "1001": 44, "1111": 45, "1101": 121, "0110": 63, "0011": 16, "0001": 45, "1110": 88, "0100": 42, "1100": 101, "0101": 212, "0000": 85, "0111": 21}, "metadata": {"depth": 4, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.08080765721326055, 0.010319721624660636, 0.05497244879978439, 0.009600606613775658, 0.013846434056863711, 0.2691019786869611, 0.049158234108894056, 0.016346742841912825, 0.051546698849602904, 0.042718225264406544, 0.003912038672523114, 0.005536278988878525, 0.1220728241014043, 0.13120595633719073, 0.09567863636889866, 0.04317551747098175], "qubits": [0, 1, 2, 3], "trial": 296}}, {"counts": {"0111": 24, "0011": 33, "0001": 61, "1011": 87, "1110": 116, "0010": 42, "0000": 40, "1111": 84, "1101": 47, "0101": 32, "0110": 40, "1100": 27, "0100": 45, "1010": 138, "1000": 54, "1001": 154}, "metadata": {"depth": 4, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.03228415019823903, 0.05360406358268327, 0.022570033000123946, 0.022144971071131624, 0.044963579350813666, 0.02390695758805359, 0.027731161034823922, 0.006107724495842639, 0.02759860958332923, 0.19974177543795912, 0.17907344885714777, 0.08752389275339043, 0.001909924528581464, 0.04094589983211659, 0.13027779499809955, 0.09961601368766389], "qubits": [0, 1, 2, 3], "trial": 297}}, {"counts": {"1011": 19, "1111": 18, "1101": 45, "0000": 38, "1010": 48, "1001": 100, "0110": 107, "1100": 20, "0100": 44, "0011": 75, "0001": 60, "1110": 68, "1000": 91, "0101": 164, "0111": 53, "0010": 74}, "metadata": {"depth": 4, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.02381396399661123, 0.042541485002701676, 0.06871764799277233, 0.09453868305197925, 0.014723922384943277, 0.19671302878949368, 0.14145177639463466, 0.04645881807379274, 0.10169426949345449, 0.09593373580897584, 0.02767281881675144, 0.01691184898679953, 0.0030872095657449423, 0.027805123953753653, 0.09652405933779197, 0.00141160834979972], "qubits": [0, 1, 2, 3], "trial": 298}}, {"counts": {"1010": 26, "0111": 21, "1000": 51, "1001": 24, "0001": 51, "0011": 75, "0101": 26, "0100": 104, "1100": 102, "1110": 67, "1111": 62, "1101": 73, "0110": 89, "0000": 43, "0010": 110, "1011": 100}, "metadata": {"depth": 4, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.017589080960068643, 0.03548442050955238, 0.14568424195027468, 0.06642973895255046, 0.12179698282872066, 0.02081160041110587, 0.10847091435240086, 0.013372996839579876, 0.04636045205257021, 0.02863358390060083, 0.011193224633145954, 0.08877077279413434, 0.09133303844489621, 0.0699490948045662, 0.075201851759981, 0.05891800480585333], "qubits": [0, 1, 2, 3], "trial": 299}}, {"counts": {"0110": 20, "1010": 38, "1110": 20, "1011": 30, "0101": 197, "1000": 43, "0100": 35, "1100": 12, "1111": 22, "1101": 73, "0111": 105, "0001": 57, "0011": 17, "0010": 42, "0000": 230, "1001": 83}, "metadata": {"depth": 4, "experiment_type": "QuantumVolume", "ideal_probabilities": [0.2761367830182059, 0.018920599475398193, 0.025197121775539528, 0.0013061403258668443, 0.0025523049906119727, 0.2615678359942, 0.014308475878417829, 0.10709117350023017, 0.01948813496831121, 0.09500249533152519, 0.03403600386074368, 0.03016894780662424, 0.004639374103083923, 0.07846409378828187, 0.013884341240271172, 0.01723617394268895], "qubits": [0, 1, 2, 3], "trial": 300}}] \ No newline at end of file diff --git a/test/quantum_volume/qv_generate_data.py b/test/quantum_volume/qv_generate_data.py new file mode 100644 index 0000000000..33d6c383b6 --- /dev/null +++ b/test/quantum_volume/qv_generate_data.py @@ -0,0 +1,214 @@ +# This code is part of Qiskit. +# +# (C) Copyright IBM 2021. +# +# This code is licensed under the Apache License, Version 2.0. You may +# obtain a copy of this license in the LICENSE.txt file in the root directory +# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. +# +# Any modifications or derivative works of this code must retain this +# copyright notice, and modified files need to carry a notice indicating +# that they have been altered from the originals. +""" +Code for generating data for the Quantum Volume experiment for testing. +""" + +import os +import sys +import json +from qiskit.providers.aer.noise import NoiseModel +from qiskit.providers.aer.noise.errors.standard_errors import ( + depolarizing_error, + thermal_relaxation_error, +) +from qiskit.providers.aer.noise.errors import readout_error +from qiskit import Aer +import qiskit_experiments as qe + +SEED = 42 + + +def create_qv_ideal_probabilities(dir_path: str): + """ + create quantum volume circuits using seed, and save their ideal probabilities vector in a json + Args: + dir_path(str): The directory which the data will be saved to. + """ + num_of_qubits = 3 + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + qv_exp.set_experiment_options(trials=20) + qv_circs = qv_exp.circuits() + simulation_probabilities = [ + list(qv_circ.metadata["ideal_probabilities"]) for qv_circ in qv_circs + ] + + result_file_path = os.path.join(dir_path, "qv_ideal_probabilities.json") + with open(result_file_path, "w") as json_file: + json.dump(simulation_probabilities, json_file) + + +def create_qv_data_70_trials(dir_path: str): + """ + create quantum volume experiment_data using seed, and save it as a json + Args: + dir_path(str): The directory which the data will be saved to. + """ + num_of_qubits = 3 + backend = Aer.get_backend("aer_simulator") + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + qv_exp.set_experiment_options(trials=70) + qv_data = qv_exp.run(backend) + + result_file_path = os.path.join(dir_path, "qv_data_70_trials.json") + with open(result_file_path, "w") as json_file: + json.dump(qv_data.data(), json_file) + + +def create_qv_data_low_hop(dir_path: str): + """ + create quantum volume experiment_data using seed, and save it as a json + the circuit is generated with high noise, so the mean hop is below 2/3 + Args: + dir_path(str): The directory which the data will be saved to. + """ + num_of_qubits = 4 + backend = Aer.get_backend("aer_simulator") + basis_gates = ["id", "rz", "sx", "x", "cx", "reset"] + noise = create_high_noise_model() + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + qv_exp.set_transpile_options(basis_gates=basis_gates) + qv_data = qv_exp.run(backend, noise_model=noise, basis_gates=basis_gates) + + result_file_path = os.path.join(dir_path, "qv_data_high_noise.json") + with open(result_file_path, "w") as json_file: + json.dump(qv_data.data(), json_file) + + +def create_qv_data_low_confidence(dir_path: str): + """ + create quantum volume experiment_data using seed, and save it as a json + the circuit is generated with moderate noise, so the mean hop is above 2/3, + but there are not enough trials, so the confidence is below threshold + Args: + dir_path(str): The directory which the data will be saved to. + """ + num_of_qubits = 4 + backend = Aer.get_backend("aer_simulator") + basis_gates = ["id", "rz", "sx", "x", "cx", "reset"] + noise = create_noise_model() + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + qv_exp.set_transpile_options(basis_gates=basis_gates) + qv_data = qv_exp.run(backend, noise_model=noise, basis_gates=basis_gates) + + result_file_path = os.path.join(dir_path, "qv_data_moderate_noise_100_trials.json") + with open(result_file_path, "w") as json_file: + json.dump(qv_data.data(), json_file) + + +def create_qv_data_high_confidence(dir_path: str): + """ + create quantum volume experiment_data using seed, and save it as a json + the circuit is generated with moderate noise, so the mean hop is above 2/3, + and also with enough trials, so the confidence is above threshold + Args: + dir_path(str): The directory which the data will be saved to. + """ + num_of_qubits = 4 + backend = Aer.get_backend("aer_simulator") + basis_gates = ["id", "rz", "sx", "x", "cx", "reset"] + noise = create_noise_model() + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + qv_exp.set_experiment_options(trials=300) + qv_exp.set_transpile_options(basis_gates=basis_gates) + qv_data = qv_exp.run(backend, noise_model=noise, basis_gates=basis_gates) + + result_file_path = os.path.join(dir_path, "qv_data_moderate_noise_300_trials.json") + with open(result_file_path, "w") as json_file: + json.dump(qv_data.data(), json_file) + + result_file_path = os.path.join(dir_path, "qv_result_moderate_noise_300_trials.json") + with open(result_file_path, "w") as json_file: + json.dump(qv_data.analysis_result(-1), json_file) + + +def create_noise_model(): + """ + create noise model with depolarizing error, thermal error and readout error + Returns: + NoiseModel: noise model + """ + noise_model = NoiseModel() + p1q = 0.0004 + p2q = 0.01 + depol_sx = depolarizing_error(p1q, 1) + depol_x = depolarizing_error(p1q, 1) + depol_cx = depolarizing_error(p2q, 2) + + # Add T1/T2 noise to the simulation + t_1 = 110e3 + t_2 = 120e3 + gate1q = 50 + gate2q = 100 + termal_sx = thermal_relaxation_error(t_1, t_2, gate1q) + termal_x = thermal_relaxation_error(t_1, t_2, gate1q) + termal_cx = thermal_relaxation_error(t_1, t_2, gate2q).tensor( + thermal_relaxation_error(t_1, t_2, gate2q) + ) + + noise_model.add_all_qubit_quantum_error(depol_sx.compose(termal_sx), "sx") + noise_model.add_all_qubit_quantum_error(depol_x.compose(termal_x), "x") + noise_model.add_all_qubit_quantum_error(depol_cx.compose(termal_cx), "cx") + + read_err = readout_error.ReadoutError([[0.98, 0.02], [0.04, 0.96]]) + noise_model.add_all_qubit_readout_error(read_err) + return noise_model + + +def create_high_noise_model(): + """ + create high noise model with depolarizing error, thermal error and readout error + Returns: + NoiseModel: noise model + """ + noise_model = NoiseModel() + p1q = 0.004 + p2q = 0.05 + depol_sx = depolarizing_error(p1q, 1) + depol_x = depolarizing_error(p1q, 1) + depol_cx = depolarizing_error(p2q, 2) + + # Add T1/T2 noise to the simulation + t_1 = 110e2 + t_2 = 120e2 + gate1q = 50 + gate2q = 100 + termal_sx = thermal_relaxation_error(t_1, t_2, gate1q) + termal_x = thermal_relaxation_error(t_1, t_2, gate1q) + termal_cx = thermal_relaxation_error(t_1, t_2, gate2q).tensor( + thermal_relaxation_error(t_1, t_2, gate2q) + ) + + noise_model.add_all_qubit_quantum_error(depol_sx.compose(termal_sx), "sx") + noise_model.add_all_qubit_quantum_error(depol_x.compose(termal_x), "x") + noise_model.add_all_qubit_quantum_error(depol_cx.compose(termal_cx), "cx") + + read_err = readout_error.ReadoutError([[0.98, 0.02], [0.04, 0.96]]) + noise_model.add_all_qubit_readout_error(read_err) + return noise_model + + +DIRNAME = os.path.dirname(os.path.abspath(__file__)) +for generation_type in sys.argv[1:]: + if generation_type == "circuits": + create_qv_ideal_probabilities(DIRNAME) + elif generation_type == "analysis": + create_qv_data_70_trials(DIRNAME) + create_qv_data_low_hop(DIRNAME) + create_qv_data_low_confidence(DIRNAME) + create_qv_data_high_confidence(DIRNAME) + else: + print("Skipping unknown argument " + generation_type) diff --git a/test/quantum_volume/qv_ideal_probabilities.json b/test/quantum_volume/qv_ideal_probabilities.json new file mode 100644 index 0000000000..2b23a69046 --- /dev/null +++ b/test/quantum_volume/qv_ideal_probabilities.json @@ -0,0 +1 @@ +[[0.06090981922741352, 0.34784828887489516, 0.003440728125794299, 0.17695071101919052, 0.020399173510863133, 0.3133909057297853, 0.025208906876148903, 0.051851466635908984], [0.052795588044998266, 0.2036758692494191, 0.022228933273601266, 0.267947067954847, 0.04662254705199523, 0.23689106637344887, 0.014644198017660856, 0.15519473003402912], [0.33890568849498903, 0.08470251706991236, 0.09032425795803736, 0.1176818050135521, 0.20023444940934337, 0.040376649609833996, 0.07845708684381617, 0.04931754560051594], [0.07843754575087986, 0.21907218041759557, 0.11588111917837404, 0.14344927568779245, 0.07247077881185233, 0.13642212295586695, 0.19928429396422193, 0.03498268323341709], [0.03146764504989369, 0.010672855981310281, 0.0698472783532379, 0.2805983021183489, 0.1697510376611356, 0.34490526483543, 0.05675488127108915, 0.03600273472955497], [0.014712440805189736, 0.20198281763070447, 0.03951483459147206, 0.10661868457522322, 0.028973459527277957, 0.0030555802881049895, 0.1683968533591363, 0.43674532922289167], [0.4652838497088344, 0.1370319640546792, 0.0, 0.0, 0.11184911640086283, 0.2858350698356241, 0.0, 0.0], [0.41691761271850697, 0.09802206331301935, 0.0, 0.0, 0.12170171915272401, 0.36335860481574933, 0.0, 0.0], [0.06040824842131547, 0.22360037606154226, 0.16703416728799328, 0.3155515725112804, 0.00574389769671973, 0.06422576739914752, 0.05653984347944168, 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0.02558733261209082, "depth": 4, "trials": 300, "success": true} \ No newline at end of file diff --git a/test/quantum_volume/test_qv.py b/test/quantum_volume/test_qv.py new file mode 100644 index 0000000000..76fc22b3d3 --- /dev/null +++ b/test/quantum_volume/test_qv.py @@ -0,0 +1,223 @@ +# This code is part of Qiskit. +# +# (C) Copyright IBM 2021. +# +# This code is licensed under the Apache License, Version 2.0. You may +# obtain a copy of this license in the LICENSE.txt file in the root directory +# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. +# +# Any modifications or derivative works of this code must retain this +# copyright notice, and modified files need to carry a notice indicating +# that they have been altered from the originals. + +""" +A Tester for the Quantum Volume experiment +""" + +import json +import os +from qiskit.quantum_info.operators.predicates import matrix_equal +from qiskit.test import QiskitTestCase +from qiskit import Aer +import qiskit_experiments as qe + +SEED = 42 + + +class TestQuantumVolume(QiskitTestCase): + """Test Quantum Volume experiment""" + + def test_qv_circuits_length(self): + """ + Test circuit generation - check the number of circuits generated + and the amount of qubits in each circuit + """ + + qubits_lists = [3, [0, 1, 2], [0, 1, 2, 4]] + ntrials = [2, 3, 5] + + for qubits in qubits_lists: + for trials in ntrials: + qv_exp = qe.quantum_volume.QuantumVolume(qubits) + qv_exp.set_experiment_options(trials=trials) + qv_circs = qv_exp.circuits() + + self.assertEqual( + len(qv_circs), + trials, + "Number of circuits generated do not match the number of trials", + ) + + self.assertEqual( + len(qv_circs[0].qubits), + qv_exp.num_qubits, + "Number of qubits in the Quantum Volume circuit do not match the" + " number of qubits in the experiment", + ) + + def test_qv_ideal_probabilities(self): + """ + Test the probabilities of ideal circuit + Compare between simulation and statevector calculation + and compare to pre-calculated probabilities with the same seed + """ + num_of_qubits = 3 + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + # set number of trials to a low number to make the test faster + qv_exp.set_experiment_options(trials=20) + qv_circs = qv_exp.circuits() + simulation_probabilities = [qv_circ.metadata["ideal_probabilities"] for qv_circ in qv_circs] + # create the circuits again, but this time disable simulation so the + # ideal probabilities will be calculated using statevector + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + qv_exp.set_experiment_options(trials=20) + qv_exp._simulation_backend = None + qv_circs = qv_exp.circuits() + statevector_probabilities = [ + qv_circ.metadata["ideal_probabilities"] for qv_circ in qv_circs + ] + + self.assertTrue( + matrix_equal(simulation_probabilities, statevector_probabilities), + "probabilities calculated using simulation and " "statevector are not the same", + ) + # compare to pre-calculated probabilities + dir_name = os.path.dirname(os.path.abspath(__file__)) + probabilities_json_file = "qv_ideal_probabilities.json" + with open(os.path.join(dir_name, probabilities_json_file), "r") as json_file: + probabilities = json.load(json_file) + self.assertTrue( + matrix_equal(simulation_probabilities, probabilities), + "probabilities calculated using simulation and " + "pre-calculated probabilities are not the same", + ) + + def test_qv_sigma_decreasing(self): + """ + Test that the sigma is decreasing after adding more trials + """ + num_of_qubits = 3 + backend = Aer.get_backend("aer_simulator") + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + # set number of trials to a low number to make the test faster + qv_exp.set_experiment_options(trials=2) + expdata = qv_exp.run(backend) + expdata = qv_exp.run(backend, experiment_data=expdata) + + self.assertTrue(expdata.analysis_result(0)["trials"] == 2, "number of trials is incorrect") + self.assertTrue( + expdata.analysis_result(1)["trials"] == 4, + "number of trials is incorrect" " after adding more trials", + ) + self.assertTrue( + expdata.analysis_result(1)["sigma"] <= expdata.analysis_result(0)["sigma"], + "sigma did not decreased after adding more trials", + ) + + def test_qv_failure_insufficient_trials(self): + """ + Test that the quantum volume is unsuccessful when: + there is less than 100 trials + """ + dir_name = os.path.dirname(os.path.abspath(__file__)) + insufficient_trials_json_file = "qv_data_70_trials.json" + with open(os.path.join(dir_name, insufficient_trials_json_file), "r") as json_file: + insufficient_trials_data = json.load(json_file) + + num_of_qubits = 3 + backend = Aer.get_backend("aer_simulator") + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + exp_data = qe.ExperimentData(experiment=qv_exp, backend=backend) + exp_data.add_data(insufficient_trials_data) + + qv_exp.run_analysis(exp_data) + self.assertTrue( + exp_data.analysis_result(-1)["qv success"] is False + and exp_data.analysis_result(-1)["quantum volume"] == 1, + "quantum volume is successful with less than 100 trials", + ) + + def test_qv_failure_insufficient_hop(self): + """ + Test that the quantum volume is unsuccessful when: + there are more than 100 trials, but the heavy output probability mean is less than 2/3 + """ + dir_name = os.path.dirname(os.path.abspath(__file__)) + insufficient_hop_json_file = "qv_data_high_noise.json" + with open(os.path.join(dir_name, insufficient_hop_json_file), "r") as json_file: + insufficient_hop_data = json.load(json_file) + + num_of_qubits = 4 + backend = Aer.get_backend("aer_simulator") + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + exp_data = qe.ExperimentData(experiment=qv_exp, backend=backend) + exp_data.add_data(insufficient_hop_data) + + qv_exp.run_analysis(exp_data) + self.assertTrue( + exp_data.analysis_result(-1)["qv success"] is False + and exp_data.analysis_result(-1)["quantum volume"] == 1, + "quantum volume is successful with heavy output probability less than 2/3", + ) + + def test_qv_failure_insufficient_confidence(self): + """ + Test that the quantum volume is unsuccessful when: + there are more than 100 trials, the heavy output probability mean is more than 2/3 + but the confidence is not high enough + """ + dir_name = os.path.dirname(os.path.abspath(__file__)) + insufficient_confidence_json = "qv_data_moderate_noise_100_trials.json" + with open(os.path.join(dir_name, insufficient_confidence_json), "r") as json_file: + insufficient_confidence_data = json.load(json_file) + + num_of_qubits = 4 + backend = Aer.get_backend("aer_simulator") + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + exp_data = qe.ExperimentData(experiment=qv_exp, backend=backend) + exp_data.add_data(insufficient_confidence_data) + + qv_exp.run_analysis(exp_data) + self.assertTrue( + exp_data.analysis_result(-1)["qv success"] is False + and exp_data.analysis_result(-1)["quantum volume"] == 1, + "quantum volume is successful with insufficient confidence", + ) + + def test_qv_success(self): + """ + Test a successful run of quantum volume. + Compare the results to a pre-run experiment + """ + dir_name = os.path.dirname(os.path.abspath(__file__)) + successful_json_file = "qv_data_moderate_noise_300_trials.json" + with open(os.path.join(dir_name, successful_json_file), "r") as json_file: + successful_data = json.load(json_file) + + num_of_qubits = 4 + backend = Aer.get_backend("aer_simulator") + + qv_exp = qe.quantum_volume.QuantumVolume(num_of_qubits, seed=SEED) + exp_data = qe.ExperimentData(experiment=qv_exp, backend=backend) + exp_data.add_data(successful_data) + + qv_exp.run_analysis(exp_data) + results_json_file = "qv_result_moderate_noise_300_trials.json" + with open(os.path.join(dir_name, results_json_file), "r") as json_file: + successful_results = json.load(json_file) + for key, value in successful_results.items(): + if isinstance(value, float): + self.assertAlmostEqual( + exp_data.analysis_result(-1)[key], + value, + msg="result " + str(key) + " is not the same as the " "pre-calculated analysis", + ) + else: + self.assertTrue( + exp_data.analysis_result(-1)[key] == value, + "result " + str(key) + " is not the same as the " "pre-calculated analysis", + )