{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "25d0f5ab",
   "metadata": {},
   "source": [
    "## Visualisierung der Dichtematrix"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b08be54b",
   "metadata": {},
   "source": [
    "### Beispiel Bell-Zustand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "842ebec8",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "import qiskit.quantum_info as qi\n",
    "from qiskit.visualization import plot_state_city\n",
    "\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "40d2aaa2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 206.852x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_ERP = QuantumCircuit(2)\n",
    "qc_ERP.h(0)\n",
    "qc_ERP.cx(0,1)\n",
    "qc_ERP.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6fe332ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "\\rho_{ERP} = \n",
       "\\begin{bmatrix}\n",
       "\\tfrac{1}{2} & 0 & 0 & \\tfrac{1}{2}  \\\\\n",
       " 0 & 0 & 0 & 0  \\\\\n",
       " 0 & 0 & 0 & 0  \\\\\n",
       " \\tfrac{1}{2} & 0 & 0 & \\tfrac{1}{2}  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rho_ERP = qi.DensityMatrix.from_instruction(qc_ERP)\n",
    "rho_ERP.draw('latex', prefix='\\\\rho_{ERP} = ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "702bd8bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_city(rho_ERP.data, title='Density Matrix')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5d967523",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": 5
}
