{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## One Qubit Gate - Pauli gates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T14:44:26.162937Z",
     "start_time": "2019-08-22T14:44:25.781597Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit import *\n",
    "from math import pi\n",
    "from qiskit.visualization import plot_bloch_multivector"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Single-Qubit Gates\n",
    "\n",
    "The single-qubit gates available are:\n",
    "- u gates\n",
    "- Identity gate\n",
    "- Pauli gates\n",
    "- Clifford gates\n",
    "- $C3$ gates\n",
    "- Standard rotation gates \n",
    "\n",
    "We have provided a backend: `unitary_simulator` to allow you to calculate the unitary matrices. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pauli gates\n",
    "\n",
    "#### $X$: bit-flip gate\n",
    "\n",
    "The bit-flip gate $X$ is defined as:\n",
    "\n",
    "$$\n",
    "X   =  \n",
    "\\begin{pmatrix}\n",
    "0 & 1\\\\\n",
    "1 & 0\n",
    "\\end{pmatrix}= u3(\\pi,0,\\pi)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T14:44:28.573446Z",
     "start_time": "2019-08-22T14:44:28.567063Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 173.376x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's do an X-gate on a |0> qubit\n",
    "qc = QuantumCircuit(1)\n",
    "qc.x(0)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.+0.j 1.+0.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's see the result\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "out = execute(qc,backend).result().get_statevector()\n",
    "print(out)\n",
    "plot_bloch_multivector(out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T14:44:28.588910Z",
     "start_time": "2019-08-22T14:44:28.574884Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.+0.j 1.+0.j]\n",
      " [1.+0.j 0.+0.j]]\n"
     ]
    }
   ],
   "source": [
    "# Run the quantum circuit on a unitary simulator backend\n",
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "\n",
    "# Show the results\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### $Y$: bit- and phase-flip gate\n",
    "\n",
    "The $Y$ gate is defined as:\n",
    "\n",
    "$$\n",
    "Y  = \n",
    "\\begin{pmatrix}\n",
    "0 & -i\\\\\n",
    "i & 0\n",
    "\\end{pmatrix}=u3(\\pi,\\pi/2,\\pi/2)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T14:44:28.597678Z",
     "start_time": "2019-08-22T14:44:28.590865Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 173.376x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's do an X-gate on a |0> qubit\n",
    "qc = QuantumCircuit(1)\n",
    "qc.y(0)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T14:44:28.622772Z",
     "start_time": "2019-08-22T14:44:28.599982Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.+0.j 0.+1.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's see the result\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "out = execute(qc,backend).result().get_statevector()\n",
    "print(out)\n",
    "plot_bloch_multivector(out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.+0.j 0.+1.j]\n",
      "[[0.+0.j 0.-1.j]\n",
      " [0.+1.j 0.+0.j]]\n"
     ]
    }
   ],
   "source": [
    "# Run the quantum circuit on a unitary simulator backend\n",
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "print(out)\n",
    "result = job.result()\n",
    "\n",
    "# Show the results\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### $Z$: phase-flip gate\n",
    "\n",
    "The phase flip gate $Z$ is defined as:\n",
    "\n",
    "$$\n",
    "Z = \n",
    "\\begin{pmatrix}\n",
    "1 & 0\\\\\n",
    "0 & -1\n",
    "\\end{pmatrix}=u1(\\pi)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T14:44:28.631130Z",
     "start_time": "2019-08-22T14:44:28.624441Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 173.376x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(1)\n",
    "qc.z(0)\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-22T14:44:28.656164Z",
     "start_time": "2019-08-22T14:44:28.634114Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.+0.j 0.+0.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's see the result\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "out = execute(qc,backend).result().get_statevector()\n",
    "print(out)\n",
    "plot_bloch_multivector(out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.+0.j 0.+0.j]\n",
      "[[ 1.+0.j  0.+0.j]\n",
      " [ 0.+0.j -1.+0.j]]\n"
     ]
    }
   ],
   "source": [
    "# Run the quantum circuit on a unitary simulator backend\n",
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "print(out)\n",
    "result = job.result()\n",
    "\n",
    "# Show the results\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 474.376x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's do an X-gate on a |0> qubit\n",
    "qc = QuantumCircuit(1)\n",
    "qc.x(0)\n",
    "qc.x(0)\n",
    "qc.y(0)\n",
    "qc.y(0)\n",
    "qc.z(0)\n",
    "qc.z(0)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.+0.j 0.+0.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's see the result\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "out = execute(qc,backend).result().get_statevector()\n",
    "print(out)\n",
    "plot_bloch_multivector(out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1.+0.j 0.+0.j]\n",
      " [0.+0.j 1.+0.j]]\n"
     ]
    }
   ],
   "source": [
    "# Run the quantum circuit on a unitary simulator backend\n",
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "\n",
    "# Show the results\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Experiment 2: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 238.392x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's do an X-gate on a |0> qubit\n",
    "qc = QuantumCircuit(2)\n",
    "qc.x(0)\n",
    "qc.y(1)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.+0.j 0.+0.j 0.+0.j 0.+1.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's see the result\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "out = execute(qc,backend).result().get_statevector()\n",
    "print(out)\n",
    "plot_bloch_multivector(out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$Y \\otimes X$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.+0.j 0.+0.j 0.+0.j 0.-1.j]\n",
      " [0.+0.j 0.+0.j 0.-1.j 0.+0.j]\n",
      " [0.+0.j 0.+1.j 0.+0.j 0.+0.j]\n",
      " [0.+1.j 0.+0.j 0.+0.j 0.+0.j]]\n"
     ]
    }
   ],
   "source": [
    "# Run the quantum circuit on a unitary simulator backend\n",
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "\n",
    "# Show the results\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 298.592x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's do an X-gate on a |0> qubit\n",
    "qc = QuantumCircuit(2)\n",
    "qc.x(0)\n",
    "qc.y(1)\n",
    "qc.z(0)\n",
    "qc.x(1)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.+0.j 0.+0.j 0.+0.j 0.+1.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's see the result\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "out = execute(qc,backend).result().get_statevector()\n",
    "print(out)\n",
    "plot_bloch_multivector(out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$ (X \\otimes Z)  \\times (Y \\otimes X)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.+0.j 0.+0.j 0.+0.j 0.-1.j]\n",
      " [0.+0.j 0.+0.j 0.-1.j 0.+0.j]\n",
      " [0.+0.j 0.+1.j 0.+0.j 0.+0.j]\n",
      " [0.+1.j 0.+0.j 0.+0.j 0.+0.j]]\n"
     ]
    }
   ],
   "source": [
    "# Run the quantum circuit on a unitary simulator backend\n",
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "\n",
    "# Show the results\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 238.392x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's do an X-gate on a |0> qubit\n",
    "qc = QuantumCircuit(3)\n",
    "qc.x(0)\n",
    "qc.y(1)\n",
    "qc.z(2)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.+0.j 0.+0.j 0.+0.j 0.+1.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Let's see the result\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "out = execute(qc,backend).result().get_statevector()\n",
    "print(out)\n",
    "plot_bloch_multivector(out)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$Z \\otimes Y \\otimes Z$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.+0.j  0.+0.j  0.+0.j  0.-1.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
      " [ 0.+0.j  0.+0.j  0.-1.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
      " [ 0.+0.j  0.+1.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
      " [ 0.+1.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j]\n",
      " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+1.j]\n",
      " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+1.j  0.+0.j]\n",
      " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j  0.+0.j -0.-1.j  0.+0.j  0.+0.j]\n",
      " [ 0.+0.j  0.+0.j  0.+0.j  0.+0.j -0.-1.j  0.+0.j  0.+0.j  0.+0.j]]\n"
     ]
    }
   ],
   "source": [
    "# Run the quantum circuit on a unitary simulator backend\n",
    "backend = Aer.get_backend('unitary_simulator')\n",
    "job = execute(qc, backend)\n",
    "result = job.result()\n",
    "\n",
    "# Show the results\n",
    "print(result.get_unitary(qc, decimals=3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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