notebook.ipynb

{
 "nbformat": 4,
 "nbformat_minor": 2,
 "metadata": {
  "language_info": {
   "name": "python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   }
  },
  "orig_nbformat": 2,
  "file_extension": ".py",
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "version": 3
 },
 "cells": [
  {
   "cell_type": "markdown",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Quantum 爻 System\n",
    "\n",
    "** 使用量子計算機產生八卦，實作利用量子力學進行算命 **"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Setup Dependencies\n",
    "from qiskit import *\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Setup Bagua Dictionaty\n",
    "BAGUAS = '坤震坎兌艮離巽乾'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"350.7374pt\" version=\"1.1\" viewBox=\"0 0 512.54296 350.7374\" width=\"512.54296pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 350.7374 \nL 512.54296 350.7374 \nL 512.54296 0 \nL 0 0 \nz\n\" style=\"fill:#ffffff;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 222.18323 305.926697 \nL 234.00049 305.926697 \nL 228.09186 316.2668 \nz\n\" style=\"fill:#778899;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 267.63423 305.926697 \nL 279.45149 305.926697 \nL 273.54286 316.2668 \nz\n\" style=\"fill:#778899;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 313.08523 305.926697 \nL 324.90249 305.926697 \nL 318.99386 316.2668 \nz\n\" style=\"fill:#778899;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 358.53623 305.926697 \nL 370.35349 305.926697 \nL 364.44486 316.2668 \nz\n\" style=\"fill:#778899;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 403.98723 305.926697 \nL 415.80449 305.926697 \nL 409.89586 316.2668 \nz\n\" style=\"fill:#778899;\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 449.43823 305.926697 \nL 461.25549 305.926697 \nL 455.34686 316.2668 \nz\n\" style=\"fill:#778899;\"/>\n   </g>\n   <g id=\"line2d_1\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 43.5608 \nL 500.79786 43.5608 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_2\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 89.0118 \nL 500.79786 89.0118 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_3\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 134.4628 \nL 500.79786 134.4628 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_4\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 179.9138 \nL 500.79786 179.9138 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_5\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 225.3648 \nL 500.79786 225.3648 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_6\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 270.8158 \nL 500.79786 270.8158 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_7\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 314.789642 \nL 500.79786 314.789642 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_8\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 114.46436 317.743957 \nL 500.79786 317.743957 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 173.777915 293.5413 \nL 191.503805 293.5413 \nL 191.503805 20.8353 \nL 173.777915 20.8353 \nz\n\" style=\"fill:#bdbdbd;opacity:0.6;\"/>\n   </g>\n   <g id=\"line2d_9\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 229.569018 43.5608 \nL 229.569018 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_10\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 226.614703 43.5608 \nL 226.614703 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_11\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 275.020018 89.0118 \nL 275.020018 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_12\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 272.065703 89.0118 \nL 272.065703 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_13\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 320.471018 134.4628 \nL 320.471018 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_14\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 317.516703 134.4628 \nL 317.516703 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_15\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 365.922018 179.9138 \nL 365.922018 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 362.967703 179.9138 \nL 362.967703 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_17\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 411.373018 225.3648 \nL 411.373018 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_18\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 408.418703 225.3648 \nL 408.418703 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 456.824018 270.8158 \nL 456.824018 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 453.869703 270.8158 \nL 453.869703 305.926697 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 125.3726 320.8119 \nL 129.9177 311.7217 \n\" style=\"fill:none;stroke:#778899;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 122.418285 58.332375 \nL 151.961435 58.332375 \nL 151.961435 28.789225 \nL 122.418285 28.789225 \nz\n\" style=\"fill:#6fa4ff;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 122.418285 103.783375 \nL 151.961435 103.783375 \nL 151.961435 74.240225 \nL 122.418285 74.240225 \nz\n\" style=\"fill:#6fa4ff;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 122.418285 149.234375 \nL 151.961435 149.234375 \nL 151.961435 119.691225 \nL 122.418285 119.691225 \nz\n\" style=\"fill:#6fa4ff;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 122.418285 194.685375 \nL 151.961435 194.685375 \nL 151.961435 165.142225 \nL 122.418285 165.142225 \nz\n\" style=\"fill:#6fa4ff;\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 122.418285 240.136375 \nL 151.961435 240.136375 \nL 151.961435 210.593225 \nL 122.418285 210.593225 \nz\n\" style=\"fill:#6fa4ff;\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 122.418285 285.587375 \nL 151.961435 285.587375 \nL 151.961435 256.044225 \nL 122.418285 256.044225 \nz\n\" style=\"fill:#6fa4ff;\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 213.320285 58.332375 \nL 242.863435 58.332375 \nL 242.863435 28.789225 \nL 213.320285 28.789225 \nz\n\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 238.431963 47.992272 \nC 238.431963 45.250959 237.341818 42.619118 235.403417 40.680716 \nC 233.465015 38.742314 230.833174 37.65217 228.09186 37.65217 \nC 225.350546 37.65217 222.718705 38.742314 220.780303 40.680716 \nC 218.841902 42.619118 217.751758 45.250959 217.751758 47.992272 \n\" style=\"fill:none;stroke:#ffffff;stroke-linejoin:miter;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_17\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 258.771285 103.783375 \nL 288.314435 103.783375 \nL 288.314435 74.240225 \nL 258.771285 74.240225 \nz\n\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 283.882963 93.443272 \nC 283.882963 90.701959 282.792818 88.070118 280.854417 86.131716 \nC 278.916015 84.193314 276.284174 83.10317 273.54286 83.10317 \nC 270.801546 83.10317 268.169705 84.193314 266.231303 86.131716 \nC 264.292902 88.070118 263.202758 90.701959 263.202758 93.443272 \n\" style=\"fill:none;stroke:#ffffff;stroke-linejoin:miter;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 304.222285 149.234375 \nL 333.765435 149.234375 \nL 333.765435 119.691225 \nL 304.222285 119.691225 \nz\n\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 329.333963 138.894272 \nC 329.333963 136.152959 328.243818 133.521118 326.305417 131.582716 \nC 324.367015 129.644314 321.735174 128.55417 318.99386 128.55417 \nC 316.252546 128.55417 313.620705 129.644314 311.682303 131.582716 \nC 309.743902 133.521118 308.653758 136.152959 308.653758 138.894272 \n\" style=\"fill:none;stroke:#ffffff;stroke-linejoin:miter;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 349.673285 194.685375 \nL 379.216435 194.685375 \nL 379.216435 165.142225 \nL 349.673285 165.142225 \nz\n\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 374.784963 184.345272 \nC 374.784963 181.603959 373.694818 178.972118 371.756417 177.033716 \nC 369.818015 175.095314 367.186174 174.00517 364.44486 174.00517 \nC 361.703546 174.00517 359.071705 175.095314 357.133303 177.033716 \nC 355.194902 178.972118 354.104758 181.603959 354.104758 184.345272 \n\" style=\"fill:none;stroke:#ffffff;stroke-linejoin:miter;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_23\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 395.124285 240.136375 \nL 424.667435 240.136375 \nL 424.667435 210.593225 \nL 395.124285 210.593225 \nz\n\"/>\n   </g>\n   <g id=\"patch_24\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 420.235963 229.796272 \nC 420.235963 227.054959 419.145818 224.423118 417.207417 222.484716 \nC 415.269015 220.546314 412.637174 219.45617 409.89586 219.45617 \nC 407.154546 219.45617 404.522705 220.546314 402.584303 222.484716 \nC 400.645902 224.423118 399.555758 227.054959 399.555758 229.796272 \n\" style=\"fill:none;stroke:#ffffff;stroke-linejoin:miter;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_25\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 440.575285 285.587375 \nL 470.118435 285.587375 \nL 470.118435 256.044225 \nL 440.575285 256.044225 \nz\n\"/>\n   </g>\n   <g id=\"patch_26\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 465.686963 275.247272 \nC 465.686963 272.505959 464.596818 269.874118 462.658417 267.935716 \nC 460.720015 265.997314 458.088174 264.90717 455.34686 264.90717 \nC 452.605546 264.90717 449.973705 265.997314 448.035303 267.935716 \nC 446.096902 269.874118 445.006758 272.505959 445.006758 275.247272 \n\" style=\"fill:none;stroke:#ffffff;stroke-linejoin:miter;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_22\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 228.09186 47.992272 \nL 238.431963 37.65217 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_23\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 273.54286 93.443272 \nL 283.882963 83.10317 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_24\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 318.99386 138.894272 \nL 329.333963 128.55417 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 364.44486 184.345272 \nL 374.784963 174.00517 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 409.89586 229.796272 \nL 420.235963 219.45617 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 455.34686 275.247272 \nL 465.686963 264.90717 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_28\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 182.64086 20.8353 \nL 182.64086 66.2863 \n\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_29\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 182.64086 66.2863 \nL 182.64086 111.7373 \n\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_30\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 182.64086 111.7373 \nL 182.64086 157.1883 \n\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_31\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 182.64086 157.1883 \nL 182.64086 202.6393 \n\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_32\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 182.64086 202.6393 \nL 182.64086 248.0903 \n\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"line2d_33\">\n    <path clip-path=\"url(#p8f88f26859)\" d=\"M 182.64086 248.0903 \nL 182.64086 293.5413 \n\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n   </g>\n   <g id=\"text_1\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $H$ -->\n     <defs>\n      <path d=\"M 16.890625 72.90625 \nL 26.8125 72.90625 \nL 21 43.015625 \nL 56.78125 43.015625 \nL 62.59375 72.90625 \nL 72.515625 72.90625 \nL 58.296875 0 \nL 48.390625 0 \nL 55.171875 34.71875 \nL 19.390625 34.71875 \nL 12.59375 0 \nL 2.6875 0 \nz\n\" id=\"DejaVuSans-Oblique-72\"/>\n     </defs>\n     <g transform=\"translate(132.24986 47.147987)scale(0.13 -0.13)\">\n      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-72\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_2\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $H$ -->\n     <g transform=\"translate(132.24986 92.598987)scale(0.13 -0.13)\">\n      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-72\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_3\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $H$ -->\n     <g transform=\"translate(132.24986 138.049987)scale(0.13 -0.13)\">\n      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-72\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_4\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $H$ -->\n     <g transform=\"translate(132.24986 183.500987)scale(0.13 -0.13)\">\n      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-72\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_5\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $H$ -->\n     <g transform=\"translate(132.24986 228.951987)scale(0.13 -0.13)\">\n      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-72\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_6\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $H$ -->\n     <g transform=\"translate(132.24986 274.402987)scale(0.13 -0.13)\">\n      <use transform=\"translate(0 0.09375)\" xlink:href=\"#DejaVuSans-Oblique-72\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_7\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- 0 -->\n     <defs>\n      <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n     </defs>\n     <g transform=\"translate(239.45461 309.558825)scale(0.104 -0.104)\">\n      <use xlink:href=\"#DejaVuSans-48\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_8\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- 1 -->\n     <defs>\n      <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n     </defs>\n     <g transform=\"translate(284.90561 309.558825)scale(0.104 -0.104)\">\n      <use xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_9\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- 2 -->\n     <defs>\n      <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n     </defs>\n     <g transform=\"translate(330.35661 309.558825)scale(0.104 -0.104)\">\n      <use xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_10\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- 3 -->\n     <defs>\n      <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n     </defs>\n     <g transform=\"translate(375.80761 309.558825)scale(0.104 -0.104)\">\n      <use xlink:href=\"#DejaVuSans-51\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_11\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- 4 -->\n     <defs>\n      <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n     </defs>\n     <g transform=\"translate(421.25861 309.558825)scale(0.104 -0.104)\">\n      <use xlink:href=\"#DejaVuSans-52\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_12\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- 5 -->\n     <defs>\n      <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n     </defs>\n     <g transform=\"translate(466.70961 309.558825)scale(0.104 -0.104)\">\n      <use xlink:href=\"#DejaVuSans-53\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_13\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $q_{0}$ -->\n     <defs>\n      <path d=\"M 41.703125 8.203125 \nQ 38.09375 3.46875 33.171875 1.015625 \nQ 28.265625 -1.421875 22.3125 -1.421875 \nQ 14.015625 -1.421875 9.296875 4.171875 \nQ 4.59375 9.765625 4.59375 19.578125 \nQ 4.59375 27.484375 7.5 34.859375 \nQ 10.40625 42.234375 15.828125 48.09375 \nQ 19.34375 51.90625 23.90625 53.953125 \nQ 28.46875 56 33.5 56 \nQ 39.546875 56 43.453125 53.609375 \nQ 47.359375 51.21875 49.125 46.390625 \nL 50.6875 54.59375 \nL 59.71875 54.59375 \nL 45.125 -20.609375 \nL 36.078125 -20.609375 \nz\nM 13.921875 20.90625 \nQ 13.921875 13.671875 16.9375 9.890625 \nQ 19.96875 6.109375 25.6875 6.109375 \nQ 34.1875 6.109375 40.1875 14.234375 \nQ 46.1875 22.359375 46.1875 33.984375 \nQ 46.1875 41.015625 43.078125 44.75 \nQ 39.984375 48.484375 34.1875 48.484375 \nQ 29.9375 48.484375 26.3125 46.5 \nQ 22.703125 44.53125 20.015625 40.71875 \nQ 17.1875 36.71875 15.546875 31.34375 \nQ 13.921875 25.984375 13.921875 20.90625 \nz\n\" id=\"DejaVuSans-Oblique-113\"/>\n     </defs>\n     <g transform=\"translate(73.70136 48.011777)scale(0.1625 -0.1625)\">\n      <use xlink:href=\"#DejaVuSans-Oblique-113\"/>\n      <use transform=\"translate(63.476562 -16.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-48\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_14\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $q_{1}$ -->\n     <g transform=\"translate(73.70136 93.462777)scale(0.1625 -0.1625)\">\n      <use xlink:href=\"#DejaVuSans-Oblique-113\"/>\n      <use transform=\"translate(63.476562 -16.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_15\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $q_{2}$ -->\n     <g transform=\"translate(73.70136 138.913777)scale(0.1625 -0.1625)\">\n      <use xlink:href=\"#DejaVuSans-Oblique-113\"/>\n      <use transform=\"translate(63.476562 -16.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_16\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $q_{3}$ -->\n     <g transform=\"translate(73.70136 184.364777)scale(0.1625 -0.1625)\">\n      <use xlink:href=\"#DejaVuSans-Oblique-113\"/>\n      <use transform=\"translate(63.476562 -16.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-51\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $q_{4}$ -->\n     <g transform=\"translate(73.70136 229.815777)scale(0.1625 -0.1625)\">\n      <use xlink:href=\"#DejaVuSans-Oblique-113\"/>\n      <use transform=\"translate(63.476562 -16.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-52\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_18\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $q_{5}$ -->\n     <g transform=\"translate(73.70136 275.266777)scale(0.1625 -0.1625)\">\n      <use xlink:href=\"#DejaVuSans-Oblique-113\"/>\n      <use transform=\"translate(63.476562 -16.40625)scale(0.7)\" xlink:href=\"#DejaVuSans-53\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_19\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- 6 -->\n     <defs>\n      <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n     </defs>\n     <g transform=\"translate(120.8275 309.558825)scale(0.104 -0.104)\">\n      <use xlink:href=\"#DejaVuSans-54\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_20\">\n    <g clip-path=\"url(#p8f88f26859)\">\n     <!-- $measure$ -->\n     <defs>\n      <path d=\"M 89.796875 33.015625 \nL 83.40625 0 \nL 74.421875 0 \nL 80.71875 32.71875 \nQ 81.109375 34.8125 81.296875 36.328125 \nQ 81.5 37.84375 81.5 38.921875 \nQ 81.5 43.3125 79.046875 45.75 \nQ 76.609375 48.1875 72.21875 48.1875 \nQ 65.671875 48.1875 60.546875 43.28125 \nQ 55.421875 38.375 53.90625 30.515625 \nL 47.90625 0 \nL 38.921875 0 \nL 45.3125 32.71875 \nQ 45.703125 34.515625 45.890625 36.046875 \nQ 46.09375 37.59375 46.09375 38.8125 \nQ 46.09375 43.265625 43.65625 45.71875 \nQ 41.21875 48.1875 36.921875 48.1875 \nQ 30.28125 48.1875 25.140625 43.28125 \nQ 20.015625 38.375 18.5 30.515625 \nL 12.5 0 \nL 3.515625 0 \nL 14.203125 54.6875 \nL 23.1875 54.6875 \nL 21.484375 46.1875 \nQ 25.140625 50.984375 30.046875 53.484375 \nQ 34.96875 56 40.578125 56 \nQ 46.53125 56 50.359375 52.875 \nQ 54.203125 49.75 54.984375 44.1875 \nQ 59.078125 49.953125 64.46875 52.96875 \nQ 69.875 56 75.875 56 \nQ 82.90625 56 86.734375 51.953125 \nQ 90.578125 47.90625 90.578125 40.484375 \nQ 90.578125 38.875 90.375 36.9375 \nQ 90.1875 35.015625 89.796875 33.015625 \nz\n\" id=\"DejaVuSans-Oblique-109\"/>\n      <path d=\"M 48.09375 32.234375 \nQ 48.25 33.015625 48.3125 33.84375 \nQ 48.390625 34.671875 48.390625 35.5 \nQ 48.390625 41.453125 44.890625 44.921875 \nQ 41.40625 48.390625 35.40625 48.390625 \nQ 28.71875 48.390625 23.578125 44.15625 \nQ 18.453125 39.9375 15.828125 32.171875 \nz\nM 55.90625 25.203125 \nL 14.109375 25.203125 \nQ 13.8125 23.34375 13.71875 22.265625 \nQ 13.625 21.1875 13.625 20.40625 \nQ 13.625 13.625 17.796875 9.90625 \nQ 21.96875 6.203125 29.59375 6.203125 \nQ 35.453125 6.203125 40.671875 7.515625 \nQ 45.90625 8.84375 50.390625 11.375 \nL 48.6875 2.484375 \nQ 43.84375 0.53125 38.6875 -0.4375 \nQ 33.546875 -1.421875 28.21875 -1.421875 \nQ 16.84375 -1.421875 10.71875 4.015625 \nQ 4.59375 9.46875 4.59375 19.484375 \nQ 4.59375 28.03125 7.640625 35.375 \nQ 10.6875 42.71875 16.609375 48.484375 \nQ 20.40625 52.09375 25.65625 54.046875 \nQ 30.90625 56 36.8125 56 \nQ 46.09375 56 51.578125 50.4375 \nQ 57.078125 44.875 57.078125 35.5 \nQ 57.078125 33.25 56.78125 30.6875 \nQ 56.5 28.125 55.90625 25.203125 \nz\n\" id=\"DejaVuSans-Oblique-101\"/>\n      <path d=\"M 53.71875 31.203125 \nL 47.609375 0 \nL 38.625 0 \nL 40.28125 8.296875 \nQ 36.328125 3.421875 31.265625 1 \nQ 26.21875 -1.421875 20.015625 -1.421875 \nQ 13.03125 -1.421875 8.5625 2.84375 \nQ 4.109375 7.125 4.109375 13.8125 \nQ 4.109375 23.390625 11.75 28.953125 \nQ 19.390625 34.515625 32.8125 34.515625 \nL 45.3125 34.515625 \nL 45.796875 36.921875 \nQ 45.90625 37.3125 45.953125 37.765625 \nQ 46 38.234375 46 39.203125 \nQ 46 43.5625 42.453125 45.96875 \nQ 38.921875 48.390625 32.515625 48.390625 \nQ 28.125 48.390625 23.5 47.265625 \nQ 18.890625 46.140625 14.015625 43.890625 \nL 15.578125 52.203125 \nQ 20.65625 54.109375 25.515625 55.046875 \nQ 30.375 56 34.90625 56 \nQ 44.578125 56 49.625 51.796875 \nQ 54.6875 47.609375 54.6875 39.59375 \nQ 54.6875 37.984375 54.4375 35.8125 \nQ 54.203125 33.640625 53.71875 31.203125 \nz\nM 44 27.484375 \nL 35.015625 27.484375 \nQ 23.96875 27.484375 18.671875 24.53125 \nQ 13.375 21.578125 13.375 15.375 \nQ 13.375 11.078125 16.078125 8.640625 \nQ 18.796875 6.203125 23.578125 6.203125 \nQ 30.90625 6.203125 36.375 11.453125 \nQ 41.84375 16.703125 43.609375 25.484375 \nz\n\" id=\"DejaVuSans-Oblique-97\"/>\n      <path d=\"M 50 53.078125 \nL 48.296875 44.578125 \nQ 44.734375 46.53125 40.765625 47.5 \nQ 36.8125 48.484375 32.625 48.484375 \nQ 25.53125 48.484375 21.453125 46.0625 \nQ 17.390625 43.65625 17.390625 39.5 \nQ 17.390625 34.671875 26.859375 32.078125 \nQ 27.59375 31.890625 27.9375 31.78125 \nL 30.8125 30.90625 \nQ 39.796875 28.421875 42.796875 25.6875 \nQ 45.796875 22.953125 45.796875 18.21875 \nQ 45.796875 9.515625 38.890625 4.046875 \nQ 31.984375 -1.421875 20.796875 -1.421875 \nQ 16.453125 -1.421875 11.671875 -0.578125 \nQ 6.890625 0.25 1.125 2 \nL 2.875 11.28125 \nQ 7.8125 8.734375 12.59375 7.421875 \nQ 17.390625 6.109375 21.78125 6.109375 \nQ 28.375 6.109375 32.5 8.9375 \nQ 36.625 11.765625 36.625 16.109375 \nQ 36.625 20.796875 25.78125 23.6875 \nL 24.859375 23.921875 \nL 21.78125 24.703125 \nQ 14.9375 26.515625 11.765625 29.46875 \nQ 8.59375 32.421875 8.59375 37.015625 \nQ 8.59375 45.75 15.15625 50.875 \nQ 21.734375 56 33.015625 56 \nQ 37.453125 56 41.671875 55.265625 \nQ 45.90625 54.546875 50 53.078125 \nz\n\" id=\"DejaVuSans-Oblique-115\"/>\n      <path d=\"M 6.6875 21.6875 \nL 13.09375 54.6875 \nL 22.125 54.6875 \nL 15.71875 22.015625 \nQ 15.234375 19.625 15.015625 17.921875 \nQ 14.796875 16.21875 14.796875 15.09375 \nQ 14.796875 10.9375 17.328125 8.65625 \nQ 19.875 6.390625 24.515625 6.390625 \nQ 31.734375 6.390625 37 11.265625 \nQ 42.28125 16.15625 43.890625 24.421875 \nL 49.90625 54.6875 \nL 58.890625 54.6875 \nL 48.296875 0 \nL 39.3125 0 \nL 41.109375 8.59375 \nQ 37.3125 3.8125 32.0625 1.1875 \nQ 26.8125 -1.421875 20.90625 -1.421875 \nQ 13.71875 -1.421875 9.71875 2.515625 \nQ 5.71875 6.453125 5.71875 13.484375 \nQ 5.71875 14.9375 5.953125 17.140625 \nQ 6.203125 19.34375 6.6875 21.6875 \nz\n\" id=\"DejaVuSans-Oblique-117\"/>\n      <path d=\"M 44.578125 46.390625 \nQ 43.21875 47.125 41.453125 47.515625 \nQ 39.703125 47.90625 37.703125 47.90625 \nQ 30.515625 47.90625 25.140625 42.453125 \nQ 19.78125 37.015625 18.015625 27.875 \nL 12.5 0 \nL 3.515625 0 \nL 14.203125 54.6875 \nL 23.1875 54.6875 \nL 21.484375 46.1875 \nQ 25.046875 50.921875 30 53.453125 \nQ 34.96875 56 40.578125 56 \nQ 42.046875 56 43.453125 55.828125 \nQ 44.875 55.671875 46.296875 55.28125 \nz\n\" id=\"DejaVuSans-Oblique-114\"/>\n     </defs>\n     <g transform=\"translate(6.13386 321.647581)scale(0.195 -0.195)\">\n      <use xlink:href=\"#DejaVuSans-Oblique-109\"/>\n      <use transform=\"translate(97.412109 0)\" xlink:href=\"#DejaVuSans-Oblique-101\"/>\n      <use transform=\"translate(158.935547 0)\" xlink:href=\"#DejaVuSans-Oblique-97\"/>\n      <use transform=\"translate(220.214844 0)\" xlink:href=\"#DejaVuSans-Oblique-115\"/>\n      <use transform=\"translate(272.314453 0)\" xlink:href=\"#DejaVuSans-Oblique-117\"/>\n      <use transform=\"translate(335.693359 0)\" xlink:href=\"#DejaVuSans-Oblique-114\"/>\n      <use transform=\"translate(376.806641 0)\" xlink:href=\"#DejaVuSans-Oblique-101\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p8f88f26859\">\n   <rect height=\"336.3374\" width=\"498.14296\" x=\"7.2\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "text/plain": "<Figure size 659.792x445.48 with 1 Axes>"
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Setup Quantum Circuit\n",
    "circ = QuantumCircuit(6)\n",
    "for i in range(6):\n",
    "    circ.h(i)\n",
    "circ.measure_all()\n",
    "circ.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use Simulator for Testing\n",
    "backend = Aer.get_backend('qasm_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "'坎乾'"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Execute the Result\n",
    "job = execute(circ, backend, shots=1)\n",
    "result = job.result().get_counts(circ)\n",
    "\n",
    "# Convert result to 「重卦」\n",
    "converted = int(list(result.keys())[0], 2)\n",
    "BAGUAS[converted >> 3] + BAGUAS[converted % 8]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}