optimization/grover.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## _*Using Grover Search for 3SAT problems*_\n",
    "\n",
    "This notebook demonstrates how to use the `QISKit ACQUA` library Grover algorithm and process the result.\n",
    "\n",
    "Further information is available for the algorithms in the github repo qiskit_acqua/readme.md"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pylab\n",
    "from qiskit_acqua import run_algorithm\n",
    "from qiskit_acqua.input import get_input_instance\n",
    "from qiskit.tools.visualization import circuit_drawer, plot_histogram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have a SAT problem to which we want to find solutions using Grover and SAT oracle combination. The SAT problem is specified in the DIMACS CNF format. We read one of the sample cnf files to load the problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c This is an example DIMACS 3-sat file with 3 satisfying solutions: 1 -2 3 0, -1 -2 -3 0, 1 2 -3 0\n",
      "p cnf 3 5\n",
      "-1 -2 -3 0\n",
      "1 -2 3 0\n",
      "1 2 -3 0\n",
      "1 -2 -3 0\n",
      "-1 2 3 0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "with open('3sat3-5.cnf', 'r') as f:\n",
    "    sat_cnf = f.read()\n",
    "print(sat_cnf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to run an algorithm we need to create a configuration dictionary with the parameters for the algorithm and any other dependent objects it requires. So we first define a dictionary for the algorithm. We name GROVER as the algorithm and as it has no further parameters we are done. GROVER needs an oracle so we configure one. Here we use the SAT oracle which will allow us to solve an optimization SAT problem by searching solution space. We configure the oracle with the problem we loaded above. We then combine the dictionaries into the final single params dictionary that is passed to run_algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, -2, 3]\n"
     ]
    }
   ],
   "source": [
    "algorithm_cfg = {\n",
    "    'name': 'Grover'\n",
    "}\n",
    "\n",
    "oracle_cfg = {\n",
    "    'name': 'SAT',\n",
    "    'cnf': sat_cnf\n",
    "}\n",
    "\n",
    "params = {\n",
    "    'problem': {'name': 'search', 'random_seed': 50},\n",
    "    'algorithm': algorithm_cfg,\n",
    "    'oracle': oracle_cfg,\n",
    "    'backend': {'name': 'local_qasm_simulator'}\n",
    "}\n",
    "\n",
    "result = run_algorithm(params)\n",
    "print(result['result'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As seen above, a satisfying solution to the specified sample SAT problem is obtained, with the absolute values indicating the variable indices, and the signs the `True/False` assignments, similar to the DIMACS format.\n",
    "\n",
    "A measurements result is also returned where it can be seen, below in the plot, that result\\['result'\\] was the highest probability. But the other solutions were very close in probability too."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d55cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (8, 4)\n",
    "plot_histogram(result['measurements'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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I9We3xo0bGxgY5N1aa65fvy6E8Pb2NjMzkzBGfHz848eP69evL2GGPOnIpaTcPXjwQF9fv3r16tLGePbs2W+//Sb5MZNLSUUgMzPz+vXrn376qZ6eXt6tJZKUlBQeHt6oUSNtDJ6WlpaWlnbmzJmEhITcW547dy45OTnP94VKpZLJZEuWLPnrr780F/NfXEoqGrdu3apSpUq5cuWkDpKbK1eu1KlTx9TUVMIMCoXi6tWrjRo1kvazG5eSNOXZs2evXr1ycHCQNsajR49UKpWNjY20MXT/UlIJuA786tWryMjIYv0VT1hYmJmZWeXKlaUOkqP4+HghhJ+f3+XLl6XOkqPExMT79+83bNhQ6iAFFxERYWxsXLVqVamDFNyff/7p6Oioyxdh3svz58///PPPPn36GBoahoaGpqenS/7xVkuuXbsWFxf39ddfx8bGxsfHv379uqT+pFeuXBFCfP/993///bf6LN3Hx6d8+fLSprp//76hoWG1atXeq1fnzp1lKpVKCKFUKq2srOLi4ho1anTt2rVc+uzbt69Xr147d+7s16+fes/t27c7deoUGRm5d+/e3KfB0yxXV9fk5OQzZ868uXPhwoXqwrLz58//5z//yd5rz549ffr0EUL4+fm5u7vnNPjAgQN///33x48fFzjehQsXevXqlVO13ztlZGSkpqbGx8fnUgKYp0OHDvXs2VNd3telS5d83vX+Ts7OzkFBQYUJk4uMjAyFQiHtZ0ghRFpamhBC8j85qamp+vr6On4mnZycbGxsrMvflapUquTkZFNTU2nr25RKZUpKipmZmbTXN+VyeVpaWlblsW56/fp1RkaGphYNl0R6erpSqZT8UJa7tLQ0mUympe8MUlJSMjMz81NTkpCQYGRklOfxNj09PS0trUyZMlp6IyclJZUqVUrab1JzpyOHssJQKBSpqamlS5fW5WujOnL8SUpKUigUkn/vmJ6erlKpJD8dyh0nS/mkVCoTEhJKlSol7VfFOnI6lDsdPFjFx8erP57nqYirOXXkYKW+sqwLMfT19Yv4NFtnXxu5KBanNDpysFKfAFtYWEgbQ0fOjnKnI5eScqfVz1/5J8nBKjtdODvKXbE4WOVOfSjTqVOa7ORyeXp6upaOMPk/AU5LS8vIyMjPucSrV6+MjIy0VP3MpaSikZycbGRkZGRkJHWQ3OjCRSodOR3SwU9n2XGylH9875ZPJeA8pFi8L3Kn+68ThUKRmJgo+bW+3JWMV4Kenp4u/5JzVwKOJ29JTEw0MDCQyWQymUwul6tUKsk/3mpJSkqKQqEwMTF5/fq1vr5+enq65Bc/tURdCmVubp6WlmZiYpKcnKy974Lzr2AffH744Yd/zuBv3boVFxcnhHB0dMy9z4oVK5ycnLJq7IQQderUWbx4cd++fb29vYuyzO6dsgoeIyIi3llmFxERod7I5QWakJCwf//+H374oTBJ/vOf/8TExLxXF19f3xEjRhTm88zFixe/+uqrrCn0AgMDg4ODmzVrVrDR6tSpc/PmzcjIyALnAQCUbJs2bXJ3d4+IiMjzO91KlSoNHjx4/vz5uTfz8fGZPHnyy5cvJT+1AorA2LFjjx07lnV2ChTes2fPrK2tfX19BwwYIHUWvLf69evnZxrCWrVq3blzpwjyZBk5cuTvv//+999/F+WTZlehQgWVSqW+cCGhOnXq/Oc//1m/fn1RPqnOvjagEdu3bx84cODdu3d1fIZ7FC81atRwdnZesWKF1EEArVMoFMbGxr/88sv48eNzbzl16lQ/P79nz57l3uzly5cfffTR+vXrhwwZormYAAAABfHw4UNbW9tt27b16NFD6ixA0albt+7nn3/u6+srhOjevfvLly/PnTsndSitGDx4cEhIiHoeNG9v77lz5758+VLqUFqxbNmy77///tWrV/r6+idOnOjcufMff/xRp04dqXMV0D8VXU+ePFFv5LnywieffDJ48OC3dnbp0kVPTy80NPT169caj/hespa3uHfv3jsbZH2RWbdu3ZwGCQgISEtLGzp0qKbTadft27ddXV3T0tIcHBwWL16s3unp6SltKgBACaaeTf3p06eaGvDp06dWVlbU2AEAPkDdunXLT7Pu3btrOQh0Dq8NAAByoq+vX7FiRc1elxBC6PIigwAAAAAACf1TZpc1g1qei5yuWrWqS5cub+0sVaqUmZnZ69evX716pfGI78XR0VE9p9/Vq1ff2UB9C3jZsmXt7e1zGsTPz69169Z2dnZaCqkNkZGRTk5Or169qlix4rFjx8aOHatePvzkyZMXLlyQOh0AoGRq0KCBnp6eBm8iOXfuXKNGjTQ1GgAAxYiHh4eFhUXubczNzfOcqQUlD68NAABy0bhxY81el9DT02vQoIGmBgQAAAAAlCT/VNfVrl1bvREaGpp7h1KlSmVf+fju3btJSUnlypWrWLGixiO+F2NjY1dXVyHEuXPnYmNj33o0MjLy8uXLQohu3brJZLJ3jhAaGnr58uVhw4ZpO6oGxcfHd+7c+cmTJ6VKlTp8+LCtra2hoWHWFfYZM2ZIGw8AUFJZWVk1b9780KFDGhnt6dOn165dy+d8LQAAlDDly5ffunVr1i1w2enp6W3evFnyD90oerw2AADIhZub29WrV7OW6ymkAwcOfP755yzkDQAAAAB4p3+u0n788cfqdd8OHTp0+/bt7O1u3ry5atWqnEY5duyYEGL48OHaCfl+1Gvapqenz58//62HZs+erVKphBDu7u45dffz8zM3N+/Vq5dWQ2pQenp6165dQ0JC9PT0tm/f3qxZM/X+ESNGlC1bVghx9uzZM2fOSJoRAFBide/e/ezZs1lrshfGhg0b9PX11eXyAAB8gFxdXQ8fPlyuXLnsD5UtW/bgwYOsCvrB4rUBAEBOXF1d9fX1/f39Cz9UeHj4+fPnuf0PAAAAAJCTfxeNnTNnjhBCLpe3b99+z549cXFxaWlp4eHhO3bs6N69e6NGje7cufPOIZ4+fert7V2jRo2pU6e+79P36dOnWrVq1apVe/jwYSF+iv/RpUuXzp07CyF8fHx8fX2z9q9atWrDhg1CCDc3t5YtW76z7+vXr7du3dqvXz9TU1NN5dEqpVLZv3//8+fPCyF8fHzevLBeunTpMWPGqLeZ0A4AoCUjR44sW7bstGnTCjnO8+fPfXx8hg8fzi3jAIAPmYuLS0RExJw5c5o3b16hQoXy5cs3a9Zs9uzZERERVKJ/4HhtAADwTtbW1u7u7gsXLnz27Fkhh/rpp58sLS2/+eYbjQQDAAAAAJQ8BllbgwcPDggIOHHiRHR0dJ8+fd5qZ2Fh0bZt2+z9ExMTXVxcDA0Njx49amlp+b5PHxsbGxkZKYRQKBTv2zcXvr6+TZs2jY6OHjFixNq1az/55JMbN26EhYUJIWxsbNauXZtTx8DAwNjY2GK0Yux333134MABIcTYsWPHjRv31qMeHh6LFy9OS0u7ePFiUFBQp06dpMgIACjJzM3Nf/rpp/Hjx48YMaJdu3YFHmfixIkKhcLT01OD2QAAKI4sLS2nTp1agNvYUOLx2gAA4J1mzpy5ffv2yZMnb968ucCD/Prrr3v37l22bFmZMmU0mA0AAAAAUJLoZW3JZLJDhw55eXmpVxrN4uDgsHDhwsePH/fo0eOtzomJiU5OTvHx8RcuXKhVq1ZR5M2fKlWqXLt2Tf1l/7Vr1/bu3auusevUqVNwcLC1tXVOHf38/BwcHJo3b150WQvB29t7zZo1QoiuXbsuXbo0e4MKFSpkLY/LhHYAAC0ZPXp08+bN+/TpU+ClY5cuXbp169YFCxZUqlRJs9kAAAAAAEDJVrly5fnz52/ZsmXZsmUFGyEiIqJfv34tWrQYNWqUZrMBAAAAAEoSgzf/YWRkNHPmzGnTpt26dSsuLs7CwsLGxiantdsSExM7deoUFxf3+++/V69evWBPf+bMmYJ1zJO1tfVvv/32119/nTx5MjY2tmrVqu3atatfv34uXaKjo48fPz5v3jwtRdKsjRs3qivnPv300507d+rp6b2z2cSJE9etW6dQKP78888jR46wlAwAQOOMjIz279//2WefOTs7Hzt2rEaNGu/VffPmzZMmTRoxYsS3336rpYQAAAAAAKAE++67727evDlhwgQLC4uhQ4e+V9+IiAgXFxczM7P9+/cbGhpqJyAAAAAAoCQwyL7L0NCwcePGuXdLSEjo1KlTcnLy+fPnc5kcTnKNGjVq1KhRPhtv2bJFJpMNGjRIq5E0IjAwcOTIkUIIGxubwMBAU1PTnFra2tr26dNn586dQghPT88uXbrIZLKiCwoA+DBYW1sfPXrUxcWlWbNmu3bt+vLLL/PT6/Xr11OnTl28eHGfPn1Wrlyp7ZAAAAAAAKCkWrlyZXx8vLu7e2ho6Ny5cw0M3vHdR3a//vprv379zMzMjh49mtOMAwAAAAAAqL17CrTcJSQkdOzYMTMz8+zZs7pcY/e+/Pz8XFxcdP+z9KVLl/r27atQKCwtLY8dO5Zn4ClTpqg3rl+/vn//fu0HBAB8iOrVq3ft2jVHR8f27du7urqGh4fn3v7XX39t3Lixj4/PlClTdu7cyf3iAAAAAACgwIyMjHbt2jVv3jwfH5+6devu2bNHpVLl0v7Ro0eDBw/u2LFjzZo1g4ODHR0diywqAAAAAKCYeu8yu/j4+A4dOshkstOnT5cvX14bmSRx8eLFe/fuDRs2TOogebhz506XLl1SU1MNDQ33799fu3btPLs0aNDAyclJve3l5aVUKrWcEQDwgSpfvvzJkyeXLVsWHBxcu3bt9u3br1ix4ubNmy9evBBCKJXKp0+fnj17dvLkyTVr1uzQoYOlpeXFixfnzZuX09LnAAAAAAAA+SSTyaZMmXL+/PkKFSr06dOnVq1akydPPnv27NOnT9VXxV+8eHHz5s0VK1a0b9/ezs7uxIkTy5YtO3fuXEmaTQAAAAAAoD35mjj9TcOGDfvzzz9bt24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      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=3362x705 at 0x112D4E668>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit_drawer(result['circuit'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above figure shows the circuit that was run for Grover. This circuit was returned from the algorithm for the above visualization which was generated using qiskit.tools.visualization functionality."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}