TUT_6.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#IMPORTS\n",
    "import qiskit\n",
    "import numpy as np\n",
    "from qiskit import *\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit.visualization import plot_bloch_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 276.92x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# set up circuit (no measurements required)\n",
    "qc = QuantumCircuit(2)\n",
    "qc.h(0)\n",
    "qc.h(1)\n",
    "qc.rz(3.14/4,1)\n",
    "\n",
    "qc.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "\\begin{pmatrix}(0.5000000000000001+0j)\\\\(0.5000000000000001+0j)\\\\(0.35369413458359994+0.35341259055268304j)\\\\(0.35369413458359994+0.35341259055268304\\end{pmatrix}"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set up simulator that returns statevectors\n",
    "backend = Aer.get_backend('statevector_simulator')\n",
    "\n",
    "# run the circuit to get the state vector\n",
    "state = execute(qc,backend).result().get_statevector()\n",
    "\n",
    "# now we use some fanciness to display it in latex\n",
    "from IPython.display import display, Markdown, Latex\n",
    "def state2latex(state):\n",
    "    state_latex = '\\\\begin{pmatrix}'\n",
    "    for amplitude in state:\n",
    "        state_latex += str(amplitude) + '\\\\\\\\'\n",
    "    state_latex  = state_latex[0:-4]\n",
    "    state_latex += '\\end{pmatrix}'\n",
    "    display(Markdown(state_latex))\n",
    "\n",
    "state2latex(state)"
   ]
  },
  {
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}