QEN Circuit and QNoN Circuit.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit.tools.monitor import job_monitor\n",
    "import numpy as np# Create a circuit with a register of three qubits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collecting pylatexenc\n",
      "  Using cached pylatexenc-2.10-py3-none-any.whl\n",
      "Installing collected packages: pylatexenc\n",
      "Successfully installed pylatexenc-2.10\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "pip install pylatexenc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## QEN Circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 1, 1, 1, 1, 1, 1, 1]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 568.197x505.68 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_qubits = 8\n",
    "qen_circ = QuantumCircuit(n_qubits)\n",
    "angles1 = [1] * n_qubits\n",
    "angles2 = [2] * n_qubits\n",
    "print(angles)\n",
    "\n",
    "for i in range(n_qubits):\n",
    "    qen_circ.ry(theta=angles1[i], qubit=i)\n",
    "    qen_circ.ry(theta=angles2[i], qubit=i)\n",
    "\n",
    "qen_circ.cnot(0, 1)\n",
    "qen_circ.cnot(3, 2)\n",
    "qen_circ.cnot(4, 5)\n",
    "qen_circ.cnot(7, 6)\n",
    "\n",
    "qen_circ.ry(theta=3, qubit = 1)\n",
    "qen_circ.ry(theta=3, qubit = 2)\n",
    "qen_circ.ry(theta=3, qubit = 5)\n",
    "qen_circ.ry(theta=3, qubit = 6)\n",
    "\n",
    "qen_circ.cnot(1, 2)\n",
    "qen_circ.cnot(6, 5)\n",
    "\n",
    "qen_circ.ry(theta=4, qubit = 2)\n",
    "qen_circ.ry(theta=4, qubit = 5)\n",
    "\n",
    "qen_circ.cnot(2, 5)\n",
    "\n",
    "qen_circ.ry(5, qubit=5)\n",
    "\n",
    "\n",
    "qen_circ.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## QNoN Circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 1, 1, 1, 1, 1, 1, 1]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 701.578x746.48 with 1 Axes>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_qubits = 12\n",
    "qnon_circ = QuantumCircuit(n_qubits)\n",
    "angles1 = [1] * n_qubits\n",
    "angles2 = [2] * n_qubits\n",
    "print(angles)\n",
    "\n",
    "for i in range(n_qubits):\n",
    "    qnon_circ.ry(theta=angles1[i], qubit=i)\n",
    "    qnon_circ.ry(theta=angles2[i], qubit=i)\n",
    "\n",
    "qnon_circ.cnot(0, 1)\n",
    "qnon_circ.cnot(3, 2)\n",
    "qnon_circ.cnot(4, 5)\n",
    "qnon_circ.cnot(7, 6)\n",
    "qnon_circ.cnot(8, 9)\n",
    "qnon_circ.cnot(11, 10)\n",
    "\n",
    "qnon_circ.ry(theta=3, qubit = 1)\n",
    "qnon_circ.ry(theta=3, qubit = 2)\n",
    "qnon_circ.ry(theta=3, qubit = 5)\n",
    "qnon_circ.ry(theta=3, qubit = 6)\n",
    "qnon_circ.ry(theta=3, qubit = 9)\n",
    "qnon_circ.ry(theta=3, qubit = 10)\n",
    "\n",
    "qnon_circ.cnot(1, 2)\n",
    "qnon_circ.cnot(6, 5)\n",
    "qnon_circ.cnot(10, 9)\n",
    "\n",
    "qnon_circ.ry(theta=4, qubit = 2)\n",
    "qnon_circ.ry(theta=4, qubit = 5)\n",
    "qnon_circ.ry(theta=4, qubit = 9)\n",
    "\n",
    "\n",
    "qnon_circ.cnot(2, 5)\n",
    "qnon_circ.ry(5, qubit=5)\n",
    "qnon_circ.cnot(5, 9)\n",
    "qnon_circ.ry(6, qubit=9)\n",
    "\n",
    "\n",
    "qnon_circ.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}