{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Erzeugung eines W-Zustands"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Das Programm definiert eine Schaltung zur Erzeugung des W-Zustands\n",
    "\n",
    "$$ |\\Psi \\rangle = \\frac{1}{\\sqrt{3}} \\Big( |001\\rangle + |010\\rangle + |100\\rangle \\Big) $$\n",
    "\n",
    "und führt eine Simulation aus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import qiskit stuff\n",
    "import qiskit\n",
    "from qiskit import QuantumCircuit, execute, Aer\n",
    "from qiskit.circuit import QuantumCircuit,Parameter\n",
    "from qiskit.tools.visualization import circuit_drawer\n",
    "from qiskit.visualization import plot_histogram\n",
    "\n",
    "#import python stuff\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 628.397x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Definition eines freien Parameters\n",
    "phi = Parameter('Phi')\n",
    "\n",
    "# Definition des Schaltkreis\n",
    "circuit = QuantumCircuit(3,3)\n",
    "\n",
    "circuit.ry(phi,0)  # phi ist freier Parameter\n",
    "circuit.ch(0, 1)\n",
    "circuit.cx(1,2)\n",
    "circuit.cx(0,1)\n",
    "circuit.x(0)\n",
    "circuit.barrier()\n",
    "circuit.measure([2,1,0],[0,1,2]) # Vertausche die Messreihenfolge\n",
    "circuit.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Binde Parameter\n",
    "circuit = circuit.bind_parameters({phi: 2*np.arccos( 1/np.sqrt(3) )})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'010': 340, '001': 334, '100': 326}\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ausführen einer Simulation\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "job = execute(circuit, backend, shots=10000)\n",
    "result = job.result()\n",
    "counts = result.get_counts(circuit)\n",
    "print(counts)\n",
    "plot_histogram(counts)"
   ]
  }
 ],
 "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": "3.8.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
