Grover's algorithm 1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Learning Exercise I-B\n",
    "Find the number of iterations with the largest amplitude when you run the Grover's algorithm with one solution in a database with $N = 2 ^ 7$. As shown above, change the number of iterations and check the amplification. The answer must be an integer.\n",
    "\n",
    "Hint: Fewer than 15 times. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'qiskit'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-3-9bd24bd070cf>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[0;31m# Importing Qiskit\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mqiskit\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mIBMQ\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mBasicAer\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      8\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mqiskit\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mproviders\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mibmq\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mleast_busy\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mqiskit\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mQuantumCircuit\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mClassicalRegister\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mQuantumRegister\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mexecute\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'qiskit'"
     ]
    }
   ],
   "source": [
    "# Initialization\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "\n",
    "# Importing Qiskit\n",
    "from qiskit import IBMQ, BasicAer\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister, execute\n",
    "\n",
    "# Import basic plot tools\n",
    "from qiskit.tools.visualization import plot_histogram\n",
    "\n",
    "backend = BasicAer.get_backend('qasm_simulator')\n",
    "prob_of_ans = []\n",
    "\n",
    "for x in range(12):\n",
    "    database = QuantumRegister(7)\n",
    "    oracle = QuantumRegister(1)\n",
    "    auxiliary = QuantumRegister(5) \n",
    "    cr = ClassicalRegister(7)\n",
    "    qc = QuantumCircuit(database, oracle, auxiliary, cr)\n",
    "    qc.h(database[:])\n",
    "    qc.x(oracle[0])\n",
    "    qc.h(oracle[0])\n",
    "\n",
    "\n",
    "    for j in range(x):\n",
    "    # oracle_7q\n",
    "        # search 0111111 \n",
    "        qc.x(database[0])\n",
    "        qc.mct(database[:], oracle[0], auxiliary[:], mode='basic') \n",
    "        qc.x(database[0])\n",
    "\n",
    "    # diffusion_7q\n",
    "        qc.h(database[:])\n",
    "        qc.x(database[:])\n",
    "        qc.h(database[6])\n",
    "        qc.mct(database[0:6], database[6], auxiliary[:], mode='basic')\n",
    "        qc.h(database[6])\n",
    "        qc.x(database[:])\n",
    "        qc.h(database[:])\n",
    "\n",
    "\n",
    "    qc.h(oracle[0])\n",
    "    qc.x(oracle[0])\n",
    "    qc.measure(database,cr)\n",
    "    # Change the endian \n",
    "    qc = qc.reverse_bits() \n",
    "    \n",
    "    job = execute(qc, backend=backend, shots=1000, seed_simulator=12345, backend_options={\"fusion_enable\":True})\n",
    "    result = job.result()\n",
    "    count = result.get_counts()\n",
    "    answer = count['0111111']\n",
    "    prob_of_ans.append(answer)\n",
    "    \n",
    "    \n",
    "    \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "iteration = [i for i in range(12)]\n",
    "correct = prob_of_ans\n",
    "plt.bar(iteration, correct)\n",
    "plt.xlabel('# of iteration')\n",
    "plt.ylabel('# of times the solution was obtained')\n",
    "\n",
    "from qc_grader import grade_ex1b\n",
    "grade_ex1b(ans)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Change ans of following code and submit it.\n",
    "# ans must be interger.\n",
    "\n",
    "from qc_grader import submit_ex1b\n",
    "submit_ex1b(ans)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1631.12x4539.08 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Initialization\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "\n",
    "# Importing Qiskit\n",
    "from qiskit import IBMQ, BasicAer\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister, execute\n",
    "\n",
    "# Import basic plot tools\n",
    "from qiskit.tools.visualization import plot_histogram\n",
    "\n",
    "backend = BasicAer.get_backend('qasm_simulator')\n",
    "prob_of_ans = []\n",
    "\n",
    "for x in range(12):\n",
    "    database = QuantumRegister(9)\n",
    "    oracle = QuantumRegister(1)\n",
    "    auxiliary = QuantumRegister(7) \n",
    "    cr = ClassicalRegister(9)\n",
    "    qc = QuantumCircuit(database, oracle, auxiliary, cr)\n",
    "    qc.h(database[:])\n",
    "    qc.x(oracle[0])\n",
    "    qc.h(oracle[0])\n",
    "\n",
    "\n",
    "    for j in range(x):\n",
    "    # oracle_9q\n",
    "        # search 1 \n",
    "        qc.x(database[0])\n",
    "        qc.mct(database[:], oracle[0], auxiliary[:], mode='basic') \n",
    "        qc.x(database[0])\n",
    "\n",
    "    # diffusion_9q\n",
    "        qc.h(database[:])\n",
    "        qc.x(database[:])\n",
    "        qc.h(database[8])\n",
    "        qc.mct(database[0:8], database[8], auxiliary[:], mode='basic')\n",
    "        qc.h(database[8])\n",
    "        qc.x(database[:])\n",
    "        qc.h(database[:])\n",
    "\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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