2.c-Three-qubit-circuit.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Three Qubit Circuits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import *\n",
    "from math import pi\n",
    "import numpy as np\n",
    "from qiskit.visualization import *\n",
    "import matplotlib.pyplot as plt\n",
    "from qutip import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3. Three qubit circuit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Base states: |000>,|001>,|010>,|011>,|100>,|110>,|101>,|111>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 3.1.  $I \\otimes I \\otimes U$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8/PHHGBoawrPPPotDhw5h7dq1jnPsdjs2b96MRYsW4b333vPEkshLMODTlJeXh5aWFrS2tk557Pbt29Hb24uamhoolbwNQjOHP13T1NTUhNWrV095XGdnJyorK6FWqxESEuKot7W1ISoqyp0tEjHg0zE0NASr1YqdO3dOeezSpUt5R5tmDZ+iEwmML5MRCYwBJxIYA04kMAacSGAMOJHAGHAigTHgRAJjwIkExoATCYwBJxIYA04kMAacSGAMOJHAGHAigTHgRAJjwIkExoATCYwBJxIYA04kMAacSGAMOJHAGHAigTHgRAJjwIkExoATCez/ALDtPmmm31rTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 309.428x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(3)\n",
    "qc = QuantumCircuit(q)\n",
    "qc.u3(pi/2,pi/2,pi/2,q[0])\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.707+0.j    -0.   -0.707j  0.   +0.j     0.   +0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.707j -0.707+0.j     0.   +0.j     0.   +0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.707+0.j    -0.   -0.707j  0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.707j -0.707+0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.707+0.j\n",
      "  -0.   -0.707j  0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.707j\n",
      "  -0.707+0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j\n",
      "   0.   +0.j     0.707+0.j    -0.   -0.707j]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.707j -0.707+0.j   ]]\n"
     ]
    }
   ],
   "source": [
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 3.2.   $I \\otimes U \\otimes I$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 309.428x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(3)\n",
    "qc = QuantumCircuit(q)\n",
    "qc.u3(pi/2,pi/2,pi/2,q[1])\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.707+0.j     0.   +0.j    -0.   -0.707j  0.   +0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.707+0.j     0.   +0.j    -0.   -0.707j  0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.707j  0.   +0.j    -0.707+0.j     0.   +0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.707j  0.   +0.j    -0.707+0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.707+0.j\n",
      "   0.   +0.j    -0.   -0.707j  0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j\n",
      "   0.707+0.j     0.   +0.j    -0.   -0.707j]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.707j\n",
      "   0.   +0.j    -0.707+0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.j\n",
      "   0.   +0.707j  0.   +0.j    -0.707+0.j   ]]\n"
     ]
    }
   ],
   "source": [
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 3.3. $U \\otimes I \\otimes I$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 309.428x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(3)\n",
    "qc = QuantumCircuit(q)\n",
    "qc.u3(pi/2,pi/2,pi/2,q[2])\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.707+0.j     0.   +0.j     0.   +0.j     0.   +0.j    -0.   -0.707j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.707+0.j     0.   +0.j     0.   +0.j     0.   +0.j\n",
      "  -0.   -0.707j  0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.707+0.j     0.   +0.j     0.   +0.j\n",
      "   0.   +0.j    -0.   -0.707j  0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.707+0.j     0.   +0.j\n",
      "   0.   +0.j     0.   +0.j    -0.   -0.707j]\n",
      " [ 0.   +0.707j  0.   +0.j     0.   +0.j     0.   +0.j    -0.707+0.j\n",
      "   0.   +0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.707j  0.   +0.j     0.   +0.j     0.   +0.j\n",
      "  -0.707+0.j     0.   +0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.707j  0.   +0.j     0.   +0.j\n",
      "   0.   +0.j    -0.707+0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.   +0.j     0.   +0.j     0.   +0.707j  0.   +0.j\n",
      "   0.   +0.j     0.   +0.j    -0.707+0.j   ]]\n"
     ]
    }
   ],
   "source": [
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 3.4. $I \\otimes U \\otimes U$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 309.428x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(3)\n",
    "qc = QuantumCircuit(q)\n",
    "qc.u3(pi/2,pi/2,pi/2,q[0])\n",
    "qc.u3(pi/2,pi/2,pi/2,q[1])\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.5+0.j  -0. -0.5j -0. -0.5j -0.5+0.j   0. +0.j   0. +0.j   0. +0.j\n",
      "   0. +0.j ]\n",
      " [ 0. +0.5j -0.5+0.j   0.5-0.j   0. +0.5j  0. +0.j   0. +0.j   0. +0.j\n",
      "   0. +0.j ]\n",
      " [ 0. +0.5j  0.5-0.j  -0.5+0.j   0. +0.5j  0. +0.j   0. +0.j   0. +0.j\n",
      "   0. +0.j ]\n",
      " [-0.5+0.j  -0. -0.5j -0. -0.5j  0.5-0.j   0. +0.j   0. +0.j   0. +0.j\n",
      "   0. +0.j ]\n",
      " [ 0. +0.j   0. +0.j   0. +0.j   0. +0.j   0.5+0.j  -0. -0.5j -0. -0.5j\n",
      "  -0.5+0.j ]\n",
      " [ 0. +0.j   0. +0.j   0. +0.j   0. +0.j   0. +0.5j -0.5+0.j   0.5-0.j\n",
      "   0. +0.5j]\n",
      " [ 0. +0.j   0. +0.j   0. +0.j   0. +0.j   0. +0.5j  0.5-0.j  -0.5+0.j\n",
      "   0. +0.5j]\n",
      " [ 0. +0.j   0. +0.j   0. +0.j   0. +0.j  -0.5+0.j  -0. -0.5j -0. -0.5j\n",
      "   0.5-0.j ]]\n"
     ]
    }
   ],
   "source": [
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 3.4. $U \\otimes U \\otimes U$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 309.428x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(3)\n",
    "qc = QuantumCircuit(q)\n",
    "qc.u3(pi/2,pi/2,pi/2,q[0])\n",
    "qc.u3(pi/2,pi/2,pi/2,q[1])\n",
    "qc.u3(pi/2,pi/2,pi/2,q[2])\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.354+0.j    -0.   -0.354j -0.   -0.354j -0.354+0.j    -0.   -0.354j\n",
      "  -0.354+0.j    -0.354+0.j     0.   +0.354j]\n",
      " [ 0.   +0.354j -0.354+0.j     0.354-0.j     0.   +0.354j  0.354-0.j\n",
      "   0.   +0.354j -0.   -0.354j  0.354-0.j   ]\n",
      " [ 0.   +0.354j  0.354-0.j    -0.354+0.j     0.   +0.354j  0.354-0.j\n",
      "  -0.   -0.354j  0.   +0.354j  0.354-0.j   ]\n",
      " [-0.354+0.j    -0.   -0.354j -0.   -0.354j  0.354-0.j     0.   +0.354j\n",
      "  -0.354+0.j    -0.354+0.j    -0.   -0.354j]\n",
      " [ 0.   +0.354j  0.354-0.j     0.354-0.j    -0.   -0.354j -0.354+0.j\n",
      "   0.   +0.354j  0.   +0.354j  0.354-0.j   ]\n",
      " [-0.354+0.j    -0.   -0.354j  0.   +0.354j -0.354+0.j    -0.   -0.354j\n",
      "   0.354-0.j    -0.354+0.j    -0.   -0.354j]\n",
      " [-0.354+0.j     0.   +0.354j -0.   -0.354j -0.354+0.j    -0.   -0.354j\n",
      "  -0.354+0.j     0.354-0.j    -0.   -0.354j]\n",
      " [-0.   -0.354j  0.354-0.j     0.354-0.j     0.   +0.354j  0.354-0.j\n",
      "   0.   +0.354j  0.   +0.354j -0.354+0.j   ]]\n"
     ]
    }
   ],
   "source": [
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 3.5. $(U \\otimes U \\otimes U) \\times (U \\otimes U \\otimes U)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 429.828x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(3)\n",
    "qc = QuantumCircuit(q)\n",
    "qc.u3(pi/2,pi/2,pi/2,q[0])\n",
    "qc.u3(pi/2,pi/2,pi/2,q[0])\n",
    "qc.u3(pi/4,pi/4,pi/4,q[1])\n",
    "qc.u3(3*pi/4,3*pi/4,3*pi/4,q[1])\n",
    "qc.u3(pi/6,pi/6,pi/6,q[2])\n",
    "qc.u3(5*pi/6,5*pi/6,5*pi/6,q[2])\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.354+0.j     0.   +0.j     0.25 +0.25j   0.   +0.j     0.53 +0.306j\n",
      "   0.   +0.j     0.158+0.592j  0.   +0.j   ]\n",
      " [ 0.   +0.j     0.354+0.j     0.   +0.j     0.25 +0.25j   0.   +0.j\n",
      "   0.53 +0.306j  0.   +0.j     0.158+0.592j]\n",
      " [-0.25 +0.25j   0.   +0.j     0.354-0.j     0.   +0.j    -0.592+0.158j\n",
      "   0.   +0.j     0.53 +0.306j  0.   +0.j   ]\n",
      " [ 0.   +0.j    -0.25 +0.25j   0.   +0.j     0.354-0.j     0.   +0.j\n",
      "  -0.592+0.158j  0.   +0.j     0.53 +0.306j]\n",
      " [-0.53 +0.306j  0.   +0.j    -0.592-0.158j  0.   +0.j     0.354-0.j\n",
      "   0.   +0.j     0.25 +0.25j   0.   +0.j   ]\n",
      " [ 0.   +0.j    -0.53 +0.306j  0.   +0.j    -0.592-0.158j  0.   +0.j\n",
      "   0.354-0.j     0.   +0.j     0.25 +0.25j ]\n",
      " [ 0.158-0.592j  0.   +0.j    -0.53 +0.306j  0.   +0.j    -0.25 +0.25j\n",
      "   0.   +0.j     0.354-0.j     0.   +0.j   ]\n",
      " [ 0.   +0.j     0.158-0.592j  0.   +0.j    -0.53 +0.306j  0.   +0.j\n",
      "  -0.25 +0.25j   0.   +0.j     0.354-0.j   ]]\n"
     ]
    }
   ],
   "source": [
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}