Noisy_Simulation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8a45c407",
   "metadata": {},
   "source": [
    "# Noisy Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0dcbe91",
   "metadata": {},
   "source": [
    "**Instructor** : Hwajung Kang, Ph.D., Quantum Computational Scientist, IBM Quantum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4869ce69",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import *\n",
    "from qiskit.circuit import ParameterVector\n",
    "from qiskit.visualization import plot_distribution, plot_error_map\n",
    "\n",
    "from qiskit_ibm_runtime import QiskitRuntimeService, Sampler, Options\n",
    "from qiskit_aer.noise import NoiseModel, ReadoutError\n",
    "                              \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "55cb5d1c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1290.83x535.111 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = '1111'\n",
    "nq = len(a)+1\n",
    "\n",
    "bv = QuantumCircuit(nq, nq-1)\n",
    "bv.x(nq-1)\n",
    "bv.h(range(nq))\n",
    "bv.barrier()\n",
    "bv.cx(range(len(a)), nq-1)\n",
    "bv.barrier()\n",
    "bv.h(range(nq))\n",
    "bv.barrier()\n",
    "bv.measure(range(nq-1), range(nq-1))\n",
    "\n",
    "bv.draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eaebc74b",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-success\">\n",
    "    <h3>Hands-on exercise 1.</h3>\n",
    "    <p>\n",
    "    Execute the `bv` circuit on `ibm_qasm_simulator` using the sampler.</p>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "faccd7cf",
   "metadata": {},
   "outputs": [],
   "source": [
    "## your code goes here.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a00283d2",
   "metadata": {},
   "source": [
    "## Noisy Simulation for a IBM Quantum system"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e96aa845",
   "metadata": {},
   "source": [
    "### Choose a quantum system and build a noise model for the system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "28c84820",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "19\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<IBMBackend('ibm_auckland')>,\n",
       " <IBMBackend('ibm_cairo')>,\n",
       " <IBMBackend('ibm_hanoi')>,\n",
       " <IBMBackend('ibmq_kolkata')>,\n",
       " <IBMBackend('ibmq_mumbai')>,\n",
       " <IBMBackend('ibm_algiers')>,\n",
       " <IBMBackend('ibmq_lima')>,\n",
       " <IBMBackend('ibmq_manila')>,\n",
       " <IBMBackend('ibm_lagos')>,\n",
       " <IBMBackend('ibm_cusco')>,\n",
       " <IBMBackend('ibmq_quito')>,\n",
       " <IBMBackend('ibmq_jakarta')>,\n",
       " <IBMBackend('ibm_brisbane')>,\n",
       " <IBMBackend('ibm_perth')>,\n",
       " <IBMBackend('ibm_nairobi')>,\n",
       " <IBMBackend('ibm_nazca')>,\n",
       " <IBMBackend('ibmq_belem')>,\n",
       " <IBMBackend('ibmq_guadalupe')>,\n",
       " <IBMBackend('ibm_sherbrooke')>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "backends_sel = service.backends(filters=lambda x: x.status().operational==True and not x.configuration().simulator\n",
    "                        and x.configuration().n_qubits > 4)\n",
    "print(len(backends_sel))\n",
    "backends_sel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1941ec2c",
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = service.get_backend('ibmq_mumbai')\n",
    "noise = NoiseModel().from_backend(backend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3fbb18b7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NoiseModel:\n",
      "  Basis gates: ['cx', 'delay', 'id', 'measure', 'reset', 'rz', 'sx', 'x']\n",
      "  Instructions with noise: ['cx', 'reset', 'id', 'sx', 'x', 'measure']\n",
      "  Qubits with noise: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]\n",
      "  Specific qubit errors: [('id', (0,)), ('id', (1,)), ('id', (2,)), ('id', (3,)), ('id', (4,)), ('id', (5,)), ('id', (6,)), ('id', (7,)), ('id', (8,)), ('id', (9,)), ('id', (10,)), ('id', (11,)), ('id', (12,)), ('id', (13,)), ('id', (14,)), ('id', (15,)), ('id', (16,)), ('id', (17,)), ('id', (18,)), ('id', (19,)), ('id', (20,)), ('id', (21,)), ('id', (22,)), ('id', (23,)), ('id', (24,)), ('id', (25,)), ('id', (26,)), ('sx', (0,)), ('sx', (1,)), ('sx', (2,)), ('sx', (3,)), ('sx', (4,)), ('sx', (5,)), ('sx', (6,)), ('sx', (7,)), ('sx', (8,)), ('sx', (9,)), ('sx', (10,)), ('sx', (11,)), ('sx', (12,)), ('sx', (13,)), ('sx', (14,)), ('sx', (15,)), ('sx', (16,)), ('sx', (17,)), ('sx', (18,)), ('sx', (19,)), ('sx', (20,)), ('sx', (21,)), ('sx', (22,)), ('sx', (23,)), ('sx', (24,)), ('sx', (25,)), ('sx', (26,)), ('x', (0,)), ('x', (1,)), ('x', (2,)), ('x', (3,)), ('x', (4,)), ('x', (5,)), ('x', (6,)), ('x', (7,)), ('x', (8,)), ('x', (9,)), ('x', (10,)), ('x', (11,)), ('x', (12,)), ('x', (13,)), ('x', (14,)), ('x', (15,)), ('x', (16,)), ('x', (17,)), ('x', (18,)), ('x', (19,)), ('x', (20,)), ('x', (21,)), ('x', (22,)), ('x', (23,)), ('x', (24,)), ('x', (25,)), ('x', (26,)), ('cx', (14, 11)), ('cx', (11, 14)), ('cx', (12, 13)), ('cx', (13, 12)), ('cx', (13, 14)), ('cx', (14, 13)), ('cx', (22, 19)), ('cx', (19, 22)), ('cx', (3, 5)), ('cx', (5, 3)), ('cx', (18, 21)), ('cx', (21, 18)), ('cx', (25, 22)), ('cx', (22, 25)), ('cx', (2, 1)), ('cx', (1, 2)), ('cx', (8, 11)), ('cx', (11, 8)), ('cx', (10, 12)), ('cx', (12, 10)), ('cx', (3, 2)), ('cx', (2, 3)), ('cx', (10, 7)), ('cx', (7, 10)), ('cx', (20, 19)), ('cx', (19, 20)), ('cx', (23, 21)), ('cx', (21, 23)), ('cx', (5, 8)), ('cx', (8, 5)), ('cx', (6, 7)), ('cx', (7, 6)), ('cx', (17, 18)), ('cx', (18, 17)), ('cx', (4, 7)), ('cx', (7, 4)), ('cx', (8, 9)), ('cx', (9, 8)), ('cx', (16, 19)), ('cx', (19, 16)), ('cx', (24, 23)), ('cx', (23, 24)), ('cx', (4, 1)), ('cx', (1, 4)), ('cx', (15, 18)), ('cx', (18, 15)), ('cx', (16, 14)), ('cx', (14, 16)), ('cx', (26, 25)), ('cx', (25, 26)), ('cx', (0, 1)), ('cx', (1, 0)), ('cx', (15, 12)), ('cx', (12, 15)), ('cx', (24, 25)), ('cx', (25, 24)), ('reset', (0,)), ('reset', (1,)), ('reset', (2,)), ('reset', (3,)), ('reset', (4,)), ('reset', (5,)), ('reset', (6,)), ('reset', (7,)), ('reset', (8,)), ('reset', (9,)), ('reset', (10,)), ('reset', (11,)), ('reset', (12,)), ('reset', (13,)), ('reset', (14,)), ('reset', (15,)), ('reset', (16,)), ('reset', (17,)), ('reset', (18,)), ('reset', (19,)), ('reset', (20,)), ('reset', (21,)), ('reset', (22,)), ('reset', (23,)), ('reset', (24,)), ('reset', (25,)), ('reset', (26,)), ('measure', (0,)), ('measure', (1,)), ('measure', (2,)), ('measure', (3,)), ('measure', (4,)), ('measure', (5,)), ('measure', (6,)), ('measure', (7,)), ('measure', (8,)), ('measure', (9,)), ('measure', (10,)), ('measure', (11,)), ('measure', (12,)), ('measure', (13,)), ('measure', (14,)), ('measure', (15,)), ('measure', (16,)), ('measure', (17,)), ('measure', (18,)), ('measure', (19,)), ('measure', (20,)), ('measure', (21,)), ('measure', (22,)), ('measure', (23,)), ('measure', (24,)), ('measure', (25,)), ('measure', (26,))]\n"
     ]
    }
   ],
   "source": [
    "print(noise)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "1f9a10fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x900 with 5 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_error_map(backend)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea5928d6",
   "metadata": {},
   "source": [
    "### Integrate the noise model into the selected IBM runtime primitive through Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "80a255a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "coupling = backend.configuration().coupling_map\n",
    "\n",
    "opts = Options()\n",
    "opts.simulator.noise_model = noise\n",
    "opts.simulator.coupling_map = coupling\n",
    "\n",
    "samp_noise = Sampler(sim, options=opts)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84abf3f1",
   "metadata": {},
   "source": [
    "### Execute a circuit using the prepared runtime primtive with noise model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "857ddb64",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SamplerResult(quasi_dists=[{0: 0.002819941431759108, 1: 0.004893396809542403, 2: 6.027145957610117e-05, 3: 0.005713085613806315, 4: 0.00016769410179990184, 5: -0.0003750114838358333, 6: 0.0001101370290060701, 7: 0.012094024132996135, 8: -0.00020775984069657788, 9: 0.006214747897109911, 10: -0.0006197609298515097, 11: 0.014685702205822838, 12: 0.00035583489580693993, 13: -0.0005513620262234406, 14: 0.004901717733358761, 15: 0.949737340970023}], metadata=[{'shots': 4000, 'readout_mitigation_overhead': 1.7470162044886317, 'readout_mitigation_time': 0.0035431580035947263}])\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# default setting\n",
    "res_noise = samp_noise.run(bv).result()\n",
    "print(res_noise)\n",
    "\n",
    "plot_distribution(res_noise.quasi_dists[0].binary_probabilities())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5334c85f",
   "metadata": {},
   "source": [
    "Compare the result with the `resilience_level = 0`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "8b265f2b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SamplerResult(quasi_dists=[{9: 0.00075, 4: 0.00025, 6: 0.0035, 11: 0.01375, 1: 0.00125, 14: 0.03025, 15: 0.91125, 0: 0.0005, 3: 0.003, 7: 0.0235, 13: 0.011, 12: 0.0005, 5: 0.0005}], metadata=[{'shots': 4000}])\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# resilience level 0\n",
    "opts_noMit = Options()\n",
    "opts_noMit.simulator.noise_model = noise\n",
    "opts_noMit.simulator.coupling_map = coupling\n",
    "opts_noMit.resilience_level = 0\n",
    "\n",
    "samp_noise_noMit = Sampler(sim, options=opts_noMit)\n",
    "res_noise_noMit = samp_noise_noMit.run(bv).result()\n",
    "print(res_noise_noMit)\n",
    "\n",
    "plot_distribution(res_noise_noMit.quasi_dists[0].binary_probabilities())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00bef530",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-success\">\n",
    "    <h3>Hands-on exercise 2.</h3>\n",
    "    <p>\n",
    "    Estimate the energy for the given Hamiltonian, $H=Y$, ansatz, and two sets of parameter values using two Estimators, one with default setting (resilience_level=1) and the other for the resilience_level=0, when both excutes on the 'ibmq_qasm_simulator' with the noise model built from the backend 'ibm_algiers'.\n",
    "    </p>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "f89129dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "angs = ParameterVector('x', 2)\n",
    "ansatz = QuantumCircuit(1)\n",
    "ansatz.h(0)\n",
    "ansatz.rz(angs[0], 0)\n",
    "ansatz.rx(angs[1], 0)\n",
    "\n",
    "angs_vals = [[np.pi/2, 0], [3*np.pi/2, 0]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "859e2f9a",
   "metadata": {},
   "outputs": [],
   "source": [
    "## your code goes here\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e61ca07",
   "metadata": {},
   "source": [
    "## Custom Noisy Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06ae053f",
   "metadata": {},
   "source": [
    "### Build Readout Noise model using `ReadoutError` class"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83a9a106",
   "metadata": {},
   "source": [
    "Check [ReadoutError](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.noise.ReadoutError.html?highlight=readout+error#qiskit_aer.noise.ReadoutError)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8e5ce59",
   "metadata": {},
   "source": [
    "- Parameters \n",
    ": a list of assignment probability vectors $P(A|B)$ where $A$ and $B$ are noisy measurement outcomes and true measurement oucomes, respectively.  \n",
    "Explicitly, $P(A|B)= [P(A|k)]$ where $k\\in\\{0, 1, 2, ..., 2^n - 1\\}$ for $n$ number of qubits.\n",
    "\n",
    "    E.g. for 1 qubit case, $P(A|B) = [P(A|0), P(A|1)] = [[P(0|0), P(1|0)], [P(0|1), P(1|1)]]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "9c1687e8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ReadoutError on 1 qubits. Assignment probabilities:\n",
      " P(j|0) =  [0.9 0.1]\n",
      " P(j|1) =  [0.2 0.8]\n"
     ]
    }
   ],
   "source": [
    "p10, p01 = 0.1, 0.2\n",
    "ro = ReadoutError([[1-p10, p10], [p01, 1-p01]])\n",
    "print(ro)\n",
    "\n",
    "ro_noise = NoiseModel()\n",
    "\n",
    "ro_noise.add_all_qubit_readout_error(ro)\n",
    "## alternative\n",
    "# ro_noise.add_readout_error(ro, [0])\n",
    "# ro_noise.add_readout_error(ro, [1])\n",
    "# ro_noise.add_readout_error(ro, [2])\n",
    "# ro_noise.add_readout_error(ro, [3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "80f72063",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NoiseModel:\n",
      "  Basis gates: ['cx', 'id', 'rz', 'sx']\n",
      "  Instructions with noise: ['measure']\n",
      "  All-qubits errors: ['measure']\n"
     ]
    }
   ],
   "source": [
    "print(ro_noise)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59d3956a",
   "metadata": {},
   "source": [
    "### Incorporate the readout noise model into the selected IBM runtime primitive through Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "aaa534bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "opt_ro = Options()\n",
    "opt_ro.simulator.noise_model = ro_noise\n",
    "\n",
    "samp_ro = Sampler(sim, options=opt_ro)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31faeea2",
   "metadata": {},
   "source": [
    "### Execute a circuit or circuits using the prepared IBM runtime primitive"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "79266431",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SamplerResult(quasi_dists=[{0: -7.688145202610711e-05, 1: -0.0006835416570951855, 2: 0.0004607127252556061, 3: -0.003634243261029663, 4: -0.0003866310314785751, 5: -0.002459089998345474, 6: -0.005607737717205277, 7: -0.003465683217099625, 8: 0.0008927884923168776, 9: -0.009708202952772324, 10: -0.007148494077344195, 11: 0.00724722536734288, 12: -0.0029114120725251403, 13: -0.0005949675608451069, 14: 0.010448774908249029, 15: 1.0176273835046024}], metadata=[{'shots': 4000, 'readout_mitigation_overhead': 38.76604093948819, 'readout_mitigation_time': 0.014638991000538226}])\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res_ro = samp_ro.run(bv).result()\n",
    "print(res_ro)\n",
    "\n",
    "plot_distribution(res_ro.quasi_dists[0].binary_probabilities())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de91323c",
   "metadata": {},
   "source": [
    "Compare the result with the `resilience_level = 0`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "de75872d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SamplerResult(quasi_dists=[{8: 0.00525, 1: 0.00525, 6: 0.02525, 4: 0.00525, 5: 0.02475, 12: 0.027, 2: 0.00625, 13: 0.111, 10: 0.01925, 15: 0.4185, 11: 0.1025, 14: 0.09275, 9: 0.026, 0: 0.00075, 3: 0.03025, 7: 0.1}], metadata=[{'shots': 4000}])\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt_ro_lev0 = Options()\n",
    "opt_ro_lev0.simulator.noise_model = my_noise\n",
    "opt_ro_lev0.resilience_level = 0\n",
    "\n",
    "samp_ro_lev0 = Sampler(sim, options=opt_ro_lev0)\n",
    "\n",
    "res_ro_lev0 = samp_ro_lev0.run(bv).result()\n",
    "print(res_ro_lev0)\n",
    "\n",
    "plot_distribution(res_ro_lev0.quasi_dists[0].binary_probabilities())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "940e9bbe",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-success\">\n",
    "    <h3>Hands-on exercise 3.</h3>\n",
    "    <p>\n",
    "    Perform the noise simulation using two Samplers with resilience_level=0 (no error mitigation) and 1 (default, readout error mitigation) for the 5 qubit GHZ circuit in the cell below where the readout error for each qubit and coupling map are as follows.</p><br>\n",
    "      <p>\n",
    "         <li> Single qubit readout error for each qubit</li>   \n",
    "       $q0: P(0|0)=0.95, P(1|0)=0.05, P(0|1)=0.15, P(1|1)=0.85\\\\\n",
    "       q1: P(0|0)=0.98, P(1|0)=0.02, P(0|1)=0.1, P(1|1)=0.9\\\\\n",
    "       q2: P(0|0)=0.93, P(1|0)=0.07, P(0|1)=0.2, P(1|1)=0.8\\\\ \n",
    "       q3: P(0|0)=0.96, P(1|0)=0.04, P(0|1)=0.08, P(1|1)=0.92\\\\    \n",
    "       q4: P(0|0)=0.9, P(1|0)=0.1, P(0|1)=0.25, P(1|1)=0.75\\\\\n",
    "       q5: P(0|0)=0.97, P(1|0)=0.03, P(0|1)=0.1, P(1|1)=0.9\\\\\n",
    "       q6: P(0|0)=0.89, P(1|0)=0.11, P(0|1)=0.25, P(1|1)=0.75$\n",
    "    </p>\n",
    "     <p>\n",
    "        <li> Coupling map </li>\n",
    "         $[[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 5], [4, 5], [5, 3], [5, 4], [5, 6], [6, 5]]$ \n",
    "     </p>\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5c1f5353",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1082.05x535.111 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ghz = QuantumCircuit(5)\n",
    "ghz.h(0)\n",
    "ghz.cx([0]*4, range(1, 5))\n",
    "ghz.measure_all()\n",
    "ghz.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "749f43dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "## your code goes here\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "aa759928",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td><code>qiskit-terra</code></td><td>0.24.1</td></tr><tr><td><code>qiskit-aer</code></td><td>0.12.0</td></tr><tr><td><code>qiskit-ibmq-provider</code></td><td>0.20.2</td></tr><tr><td><code>qiskit</code></td><td>0.43.1</td></tr><tr><td><code>qiskit-nature</code></td><td>0.6.0</td></tr><tr><td><code>qiskit-machine-learning</code></td><td>0.6.1</td></tr><tr><th>System information</th></tr><tr><td>Python version</td><td>3.11.4</td></tr><tr><td>Python compiler</td><td>Clang 15.0.7 </td></tr><tr><td>Python build</td><td>main, Jun 10 2023 18:08:41</td></tr><tr><td>OS</td><td>Darwin</td></tr><tr><td>CPUs</td><td>10</td></tr><tr><td>Memory (Gb)</td><td>32.0</td></tr><tr><td colspan='2'>Tue Jul 25 19:42:25 2023 EDT</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2023.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}