Qiskit_plot.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "7a23e611-9547-4e31-9e3d-427384b1365c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 267.197x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import MCXGate\n",
    "gate = MCXGate(4)\n",
    "\n",
    "from qiskit import QuantumCircuit\n",
    "circuit = QuantumCircuit(3,3)\n",
    "circuit.h(0)\n",
    "circuit.cx(0,1)\n",
    "circuit.cx(0,2)\n",
    "circuit.measure_all\n",
    "circuit.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "1bb55ae0-a130-4294-b814-091b9a968fd6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Total count for 00 and 11 are: {'011': 514, '000': 486}\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 327.397x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from qiskit import QuantumCircuit, transpile\n",
    "from qiskit.providers.aer import QasmSimulator\n",
    "from qiskit.visualization import plot_histogram\n",
    "\n",
    "# Use Aer's qasm_simulator\n",
    "simulator = QasmSimulator()\n",
    "\n",
    "# Create a Quantum Circuit acting on the q register\n",
    "circuit = QuantumCircuit(3, 3)\n",
    "\n",
    "# Add a H gate on qubit 0\n",
    "circuit.h(0)\n",
    "\n",
    "# Add a CX (CNOT) gate on control qubit 0 and target qubit 1\n",
    "circuit.cx(0, 1)\n",
    "\n",
    "# Map the quantum measurement to the classical bits\n",
    "circuit.measure([0,1], [0,1])\n",
    "circuit.measure_all\n",
    "# compile the circuit down to low-level QASM instructions\n",
    "# supported by the backend (not needed for simple circuits)\n",
    "compiled_circuit = transpile(circuit, simulator)\n",
    "\n",
    "# Execute the circuit on the qasm simulator\n",
    "job = simulator.run(compiled_circuit, shots=1000)\n",
    "\n",
    "# Grab results from the job\n",
    "result = job.result()\n",
    "\n",
    "# Returns counts\n",
    "counts = result.get_counts(compiled_circuit)\n",
    "print(\"\\nTotal count for 00 and 11 are:\",counts)\n",
    "\n",
    "# Draw the circuit\n",
    "circuit.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "5c4d2865-4e06-433e-8e38-12e47f9f9b1e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plot a histogram\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "35c73b4a-0940-4cfb-af1a-be53497664d6",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.8.13"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}