TheQuantumError.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9c475bcb-ab7b-4363-a5f6-cb481361717f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "# Importing standard Qiskit libraries\n",
    "from qiskit import QuantumCircuit, transpile, Aer, IBMQ\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "from ibm_quantum_widgets import *\n",
    "from qiskit.providers.aer import QasmSimulator\n",
    "\n",
    "# Loading your IBM Quantum account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2fc169d4-633b-4cb1-a1c3-33ef43ea1810",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "41339537-51a2-4ac3-a5ac-f14bab63bfec",
   "metadata": {},
   "outputs": [],
   "source": [
    "qr = QuantumRegister(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5d6fe917-0a07-497c-ae6c-0104172d1c10",
   "metadata": {},
   "outputs": [],
   "source": [
    "cr = ClassicalRegister(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e63bbb10-2bc3-402b-876c-44302f12f176",
   "metadata": {},
   "outputs": [],
   "source": [
    "circuit = QuantumCircuit(qr, cr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "00f47881-3d28-4a41-a3cf-c089f77cd2a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "23235e15-f246-41f6-ae58-1a09a612c02c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 173.376x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.draw(initial_state=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4d911583-7901-42d9-9d4f-54daaa806539",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f12085d9460>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.h(qr[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "98c1d384-c694-4743-97ac-45523376b800",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 159.633x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "234b2726-3c9e-479c-8365-d4f74d44979c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f1169f63f40>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.cx(qr[0], qr[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "19836873-72cc-4ba8-bf10-07e861b7e7d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KkUALpUighVIk0EIpEmihFAm0UIoEWihFAi2UIoEWSvl/w4UyzMTfOsQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 219.833x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "567de610-725e-45b5-87ac-d83ee53eba73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f116a08b160>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.measure(qr, cr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e65a082e-4bd3-47b9-8ef3-0d06130afd7e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 340.233x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4203796b-fc9f-45d3-bcdf-7a6b2120591c",
   "metadata": {},
   "outputs": [],
   "source": [
    "simulator = Aer.get_backend('qasm_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5d966a0e-63e5-45ef-b2dd-21e21c6f94c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "result = execute(circuit, backend = simulator).result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "cddda571-8caf-48b8-afb9-7148d1acdce6",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.tools.visualization import plot_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8a0b3ed2-3580-4102-97b6-d795e7c7a58b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8f912289-e7ce-46b8-8528-c6027cb06a88",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ibmqfactory.load_account:WARNING:2021-09-27 20:25:14,289: Credentials are already in use. The existing account in the session will be replaced.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AccountProvider for IBMQ(hub='ibm-q', group='open', project='main')>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "115834ad-2c13-448b-a615-904f6279817a",
   "metadata": {},
   "outputs": [],
   "source": [
    "provider = IBMQ.get_provider('ibm-q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d68d6c32-2f1d-424c-9bfa-83f463bbdf61",
   "metadata": {},
   "outputs": [],
   "source": [
    "qcomp = provider.get_backend('ibmq_santiago')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "c73274e6-b53d-4e05-a3f8-992254ef666a",
   "metadata": {},
   "outputs": [],
   "source": [
    "job = execute(circuit, backend=qcomp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "9e921307-5fea-45cb-82b6-e06ed7aae15e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.tools.monitor import job_monitor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "3fca0a3e-ca00-477c-9778-c115dc3ca44f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Job Status: job has successfully run\n"
     ]
    }
   ],
   "source": [
    "job_monitor(job)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "b2a2f3a1-60f9-471f-93e0-6bb33943e4a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "result = job.result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "3bd05f56-ac87-4385-999f-1482278b6cba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(result.get_counts(circuit))"
   ]
  }
 ],
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