Deutsch Jozsa Demo.ipynb

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   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "# import qiskit libs\n",
    "from qiskit import IBMQ, BasicAer\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "from qiskit import QuantumCircuit, execute\n",
    "from qiskit.tools.jupyter import *\n",
    "\n",
    "API_KEY = 'c6f6569ab6b6f9ec1a437d4d1187b7c7ea2ac4bd91679613e204e7bb9728efd9639af14a86f840cbb05e60b6a249e532e3168c7dbff07edc4c37de9c4bb3e0b3'\n",
    "try:\n",
    "    provider = IBMQ.enable_account(API_KEY)\n",
    "except Exception as e:\n",
    "    print(e)\n",
    "\n",
    "# qiskit plot tool\n",
    "from qiskit.visualization import plot_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dj_oracle(case, n, draw=False):\n",
    "    oracle_qc = QuantumCircuit(n+1)\n",
    "\n",
    "    if case == \"balanced\":\n",
    "        for qubit in range(n):\n",
    "            oracle_qc.cx(qubit, n)\n",
    "\n",
    "    if case == \"constant\":\n",
    "        output = np.random.randint(2)\n",
    "        if output == 1:\n",
    "            oracle_qc.x(n)\n",
    "\n",
    "    if draw:\n",
    "        print(oracle_qc.draw())\n",
    "        \n",
    "    oracle_gate = oracle_qc.to_gate()\n",
    "    oracle_gate.name = \"Oracle\"\n",
    "    return oracle_gate"
   ]
  },
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   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
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     "text": "\nq_0: ──■─────────────────\n       │                 \nq_1: ──┼────■────────────\n       │    │            \nq_2: ──┼────┼────■───────\n       │    │    │       \nq_3: ──┼────┼────┼────■──\n     ┌─┴─┐┌─┴─┐┌─┴─┐┌─┴─┐\nq_4: ┤ X ├┤ X ├┤ X ├┤ X ├\n     └───┘└───┘└───┘└───┘\n"
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<qiskit.circuit.gate.Gate at 0x1d28f539d30>"
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     "metadata": {},
     "execution_count": 4
    }
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   "source": [
    "dj_oracle(\"balanced\", 4, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "\nq_0: \n     \nq_1: \n     \nq_2: \n     \nq_3: \n     \nq_4: \n     \n"
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<qiskit.circuit.gate.Gate at 0x1d2aca30eb8>"
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     "metadata": {},
     "execution_count": 5
    }
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   "source": [
    "dj_oracle(\"constant\", 4, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "\nq_0: ─────\n          \nq_1: ─────\n          \nq_2: ─────\n          \nq_3: ─────\n     ┌───┐\nq_4: ┤ X ├\n     └───┘\n"
    },
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     "output_type": "execute_result",
     "data": {
      "text/plain": "<qiskit.circuit.gate.Gate at 0x1d2aca3ef98>"
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     "execution_count": 7
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   "source": [
    "dj_oracle(\"constant\", 4, True)"
   ]
  },
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   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dj_algorithm(n, case=\"random\"):\n",
    "    dj_circuit = QuantumCircuit(n+1, n)\n",
    "\n",
    "    for qubit in range(n):\n",
    "        dj_circuit.h(qubit)\n",
    "\n",
    "    dj_circuit.x(n)\n",
    "    dj_circuit.h(n)\n",
    "\n",
    "    if case==\"random\":\n",
    "        random_case = np.random.randint(2)\n",
    "        if random_case == 0:\n",
    "            case = \"constant\"\n",
    "        else:\n",
    "            case=\"balanced\"\n",
    "    oracle = dj_oracle(case, n)\n",
    "    dj_circuit.append(oracle, range(n+1))\n",
    "\n",
    "    for i in range(n):\n",
    "        dj_circuit.h(i)\n",
    "        dj_circuit.measure(i, i)\n",
    "    \n",
    "    return dj_circuit\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "     ┌───┐     ┌─────────┐┌───┐┌─┐         \nq_0: ┤ H ├─────┤0        ├┤ H ├┤M├─────────\n     ├───┤     │         │├───┤└╥┘┌─┐      \nq_1: ┤ H ├─────┤1        ├┤ H ├─╫─┤M├──────\n     ├───┤     │         │├───┤ ║ └╥┘┌─┐   \nq_2: ┤ H ├─────┤2 Oracle ├┤ H ├─╫──╫─┤M├───\n     ├───┤     │         │├───┤ ║  ║ └╥┘┌─┐\nq_3: ┤ H ├─────┤3        ├┤ H ├─╫──╫──╫─┤M├\n     ├───┤┌───┐│         │└───┘ ║  ║  ║ └╥┘\nq_4: ┤ X ├┤ H ├┤4        ├──────╫──╫──╫──╫─\n     └───┘└───┘└─────────┘      ║  ║  ║  ║ \nc_0: ═══════════════════════════╩══╬══╬══╬═\n                                   ║  ║  ║ \nc_1: ══════════════════════════════╩══╬══╬═\n                                      ║  ║ \nc_2: ═════════════════════════════════╩══╬═\n                                         ║ \nc_3: ════════════════════════════════════╩═\n                                           ",
      "text/html": "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───┐     ┌─────────┐┌───┐┌─┐         \nq_0: ┤ H ├─────┤0        ├┤ H ├┤M├─────────\n     ├───┤     │         │├───┤└╥┘┌─┐      \nq_1: ┤ H ├─────┤1        ├┤ H ├─╫─┤M├──────\n     ├───┤     │         │├───┤ ║ └╥┘┌─┐   \nq_2: ┤ H ├─────┤2 Oracle ├┤ H ├─╫──╫─┤M├───\n     ├───┤     │         │├───┤ ║  ║ └╥┘┌─┐\nq_3: ┤ H ├─────┤3        ├┤ H ├─╫──╫──╫─┤M├\n     ├───┤┌───┐│         │└───┘ ║  ║  ║ └╥┘\nq_4: ┤ X ├┤ H ├┤4        ├──────╫──╫──╫──╫─\n     └───┘└───┘└─────────┘      ║  ║  ║  ║ \nc_0: ═══════════════════════════╩══╬══╬══╬═\n                                   ║  ║  ║ \nc_1: ══════════════════════════════╩══╬══╬═\n                                      ║  ║ \nc_2: ═════════════════════════════════╩══╬═\n                                         ║ \nc_3: ════════════════════════════════════╩═\n                                           </pre>"
     },
     "metadata": {},
     "execution_count": 9
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   ],
   "source": [
    "n = 4\n",
    "dj_circuit = dj_algorithm(n)\n",
    "dj_circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
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\n"
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "source": [
    "# using local simulator\n",
    "backend = BasicAer.get_backend('qasm_simulator')\n",
    "shots = 1024\n",
    "dj_circuit = dj_algorithm(n, 'constant')\n",
    "results = execute(dj_circuit, backend=backend, shots=shots).result()\n",
    "answer = results.get_counts()\n",
    "\n",
    "plot_histogram(answer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}