quantum_udemy_1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9b7f04ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import * # importing all functions from qiskit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6ce1192e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 116.552x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit = QuantumCircuit(2,2)# build a quantum circuit with 2 qubits and 2 classical bits \n",
    "%matplotlib inline \n",
    "circuit.draw(output='mpl') # for a better visualisation matplotlib is used"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b48ad705",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAH0AAACoCAYAAADNc+G5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAHpklEQVR4nO3cb0hUex7H8Y+j5Uzp7E4NWyJN0W3KSR25eRGjyCSM6MlezOgP+qAswaTo3203vPqoa39WotgHwYVCoWJB2yyoB9uCDt0mr1ldSzJGLpHpRluD4Uxl2MzZB5eEKb3NuMc55/j9vGCenJw533j7Ox4H55egKIoCEsWk9QAUf4wuEKMLxOgCMbpAjC4QowvE6AIxukCMLhCjC8ToAjG6QIwuEKMLxOgCMbpAjC4QowvE6AIxukCMLhCjC8ToAjG6QIwuUJLWA+jdPzuBgUFtzp1uA4q/Uf91Gf0LBgaBX/+r9RTq4uVdIEYXiNEFYnSBGF0gRheI0QVidIEYXSBdRw+Hw6ivr4fT6YTZbEZOTg48Hg+WLFmCiooKrccbU/OR1ehoORL1cS3o+m3Y7du34/Lly6ipqUFubi68Xi+2bNmCly9fYv/+/VqPZ1i6XekXL15EY2Mjrl69ioMHD6KwsBDV1dVYvnw5Pnz4gNzcXADAixcvsHbtWsyYMQM5OTm4f/++xpPrn26jHz16FOvWrUNBQUHE8UWLFmHatGnIzs4GAFRWViIjIwN+vx9VVVUoKSlBKBTSYmTD0GX0/v5+dHd3Y+PGjZ/9W19fHzIzM5GcnIxAIIBr166htrYWFosFFRUVCIVCaG9v/+I5EhISonp4PG0xz99x5QecqfhjxOM/vp9ifh2Ppy3qOWOhy5/p/f39AIC5c+dGHH/37h08Hg/Wr18PAOjt7cXs2bNht9tHvyY7OxuPHj3CihUr4jfwJ/L+XI28b7+PONZ8ZLU2w4xBlyv9Y0Sfzxdx/MSJE3j+/DmWLVsGAHjz5g2sVmvE11itVgSDwS+eQ1GUqB4FBavV+U9NQEHB6qjnjIUuV/rChQvhdrtRV1eHWbNmIT09Hc3Nzbh+/ToAjN7EzZw5E4FAIOK5Q0NDSElJifvMRqLLlW4ymdDU1ITMzExUVlZi27ZtsNvtqKqqQlJSEtxuNwDA6XTi1atX8Pv9o8/t7u7G0qVLtRrdEBKMtPV3WVkZurq68ODBg9FjxcXFcDgcOHbsGM6fP4+6ujr09vYiMTFRlXP+/YZ2fy711Z+A3UXqv64uL+/j6ezsRH5+fsSxM2fOoLS0FDabDU6nE5cuXVIt+FRlmOjBYBA+nw+7du2KOD5nzhzcuHFDo6mMyTDRU1JS+KaLSnR5I0eTi9EFYnSBGF0gRheI0QUyzK9sWkm3Tb1zG+ptWFIHL+8CMbpAjC4QowvE6AIxukCMLhCjC8ToAjG6QIwuEKMLxOgCMbpAjC4QowvE6AIxukCMLhCjC8ToAjG6QIwuEKMLpOvoRtwQ2Ah0/bEmbgg8SRSdunDhggJAaWtrizheXFysAFDu3LmjKIqi1NbWKi6XS0lISFCampq0GNVwdHt5j3ZDYKfTidOnTyMvL0+LMQ1Jl9Gj3RAYAEpLS1FUVASz2RzTOaLdaNcoj1joNjow/obAH7cJpYnRZfRoNwT+fyhRbrRrlEcsdHn3Hu2GwDQxulzp0W4ITBOjy5UOAIsXL0Zra2vEsbKyMrhcLlgsltFjIyMjCIVCCIfDGBkZwfDwMJKTk2O+uZFElyt9PJ2dnZ9d2nfu3AmLxYKbN29i69atsFgsePr0qUYTGoNhon/cEPjTm7iGhobPbmoWLFigzZAGwY2GBDLMSif1MLpAjC4QowvE6AIxukCMLhCjC8ToAjG6QIwuEKMLxOgCMbpAjC4QowvE6AIxukCMLhCjC8ToAjG6QIwuEKMLxOhjePbsGdasWQOXy4WsrCwcPnxY65FUxehjSEpKwvHjx9HT04N79+7B6/XiypUrWo+lGt1+alVLaWlpSEtLAwBMnz4dbrcbfX19Gk+lHq70L/D7/WhpaUFRUZHWo6iG0X/H+/fvUVJSgr179yIjI0PrcVTDT62OIxQKYdOmTXA4HDh58qTW46iK0cdRXl6OcDiMc+fOTbldLRh9DLdu3cLKlSuRlZWFxMREAL9tWbpnzx4oimL4bwJGj9HVf3sRCoXw7dqVho3PG7kYvB4K4udfHhl+tRs++sOHD7FhwwbY7XaYzWY4nU5UV1dPyrna2n+BoigoXP71pLx+vBj68n737l2sWrUK8+fPx6FDh+BwOPDkyRN4vV6cPXv2d5/71+M/xmnK+Dj2l+j3vzf0O3IHDhxAamoq2tvbYbVaR4+Xl5drOJX+GXalv337Fqmpqdi9ezdOnTo1qed6PRTE3378B3KzFqN43apJPVc8GHalDw4OIhwOIz09fULPn8jlvaPrMTq6Hk/ofJMtlsu7YW/kbDYbTCYTBgYGtB7FcAx7eQeAwsJC9PT0wOfzRfxMV1PLv35CR1cPvqvYDNsfUiflHPFm2JUOAPX19QgEAsjPz0dDQwNaW1vR2NiIHTt2qPL6r4eCuPPgMb7JXjJlggMG/pkO/Lbv++3bt1FTU4N9+/ZheHgY8+bNw+bNm1V5ff/rIaTOnGH438s/ZejLezyEw2GYTIa+IH6G0QWaWt/CFBVGF4jRBWJ0gRhdIEYXiNEFYnSBGF0gRheI0QVidIEYXSBGF4jRBWJ0gRhdIEYXiNEFYnSBGF0gRheI0QVidIEYXSBGF4jRBfofD2bobAInimkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 146.652x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.h(0)# appyling hadmard gate\n",
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "34144fbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 206.852x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.cx(0,1)# applying cnot gate : control = q0 target = q1\n",
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fb49321c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 327.252x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.measure([0,1],[0,1])# measure qubit 0 and 1 and associate it with classical bits\n",
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "705a5cc0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Executing it on a quantum simulator \n",
    "simu = Aer.get_backend('qasm_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "10a30a2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# a function in qiskit to execute the circuit\n",
    "\n",
    "result = execute(circuit, backend = simu).result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "118e2265",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.tools.visualization import plot_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8f7d5d22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "85c0cf23",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AccountProvider for IBMQ(hub='ibm-q', group='open', project='main')>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# running the circuit on a real Quantum Computer using IBM\n",
    "IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "70e36c86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<IBMQSimulator('ibmq_qasm_simulator') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQBackend('ibmq_armonk') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQBackend('ibmq_santiago') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQBackend('ibmq_bogota') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQBackend('ibmq_lima') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQBackend('ibmq_belem') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQBackend('ibmq_quito') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQSimulator('simulator_statevector') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQSimulator('simulator_mps') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQSimulator('simulator_extended_stabilizer') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQSimulator('simulator_stabilizer') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
       " <IBMQBackend('ibmq_manila') from IBMQ(hub='ibm-q', group='open', project='main')>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "provider = IBMQ.get_provider('ibm-q')\n",
    "\n",
    "provider.backends() #available simulators"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "960ff461",
   "metadata": {},
   "outputs": [],
   "source": [
    "quantumc = provider.get_backend('ibmq_santiago')# real quantum computers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0b2a7bd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(VBox(layout=Layout(max_width='710px', min_width='710px')),), layout=Layout(max_height='500…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "        const isLab = window['Jupyter'] === undefined;\n",
       "        const notebook = document.querySelector( isLab ? 'div.jp-Notebook' : '#site');\n",
       "        const jobWidget = document.querySelector('div.job_widget');\n",
       "        notebook.prepend(jobWidget);\n",
       "        jobWidget.style.zIndex = '999';\n",
       "        jobWidget.style.position = isLab ? 'sticky' : 'fixed';\n",
       "        jobWidget.style.boxShadow = '5px 5px 5px -3px black';\n",
       "        jobWidget.style.opacity = '0.95';\n",
       "        if (isLab) {\n",
       "            jobWidget.style.top = '0';\n",
       "            jobWidget.style.left = '0';\n",
       "        }\n",
       "        "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_job_watcher \n",
    "\n",
    "\n",
    "job = execute(circuit,backend=quantumc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "bd6dd248",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Job Status: job has successfully run\n"
     ]
    }
   ],
   "source": [
    "from qiskit.tools.monitor import job_monitor\n",
    "job_monitor(job)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "974b348f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "quantum_result = job.result()\n",
    "plot_histogram(quantum_result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "a2b41da4",
   "metadata": {},
   "outputs": [],
   "source": [
    "%qiskit_disable_job_watcher"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ccea072e",
   "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}