{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e5e44fb3",
   "metadata": {},
   "source": [
    "## Ejercicio 6.1: Puertas cuánticas"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71cd75b7",
   "metadata": {},
   "source": [
    "$\\newcommand{\\ket}[1]{|{#1}\\rangle}\\newcommand{\\bra}[1]{\\langle{#1}|}$Considere el estado cuántico puro $\\ket{\\psi} = \\frac{1}{\\sqrt{2}}\\bigl[\\begin{smallmatrix}1\\\\1\\end{smallmatrix}\\bigr]$. Determine el resultado de las siguientes transformaciones.\n",
    "\n",
    "1. $\\ket{\\varphi} = \\text{X} \\ket{\\psi}$\n",
    "1. $\\ket{\\varphi} = \\text{Y} \\ket{\\psi}$\n",
    "1. $\\ket{\\varphi} = \\text{Z} \\ket{\\psi}$\n",
    "1. $\\ket{\\varphi} = \\text{H} \\ket{\\psi}$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e51496e6",
   "metadata": {},
   "outputs": [],
   "source": [
    "% Definimos las puertas de Pauli y la puerta de Hadamard:\n",
    "\n",
    "% y las aplicamos al estado ket_psi:\n"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "kernelspec": {
   "display_name": "Octave",
   "language": "octave",
   "name": "octave"
  },
  "language_info": {
   "file_extension": ".m",
   "help_links": [
    {
     "text": "GNU Octave",
     "url": "https://www.gnu.org/software/octave/support.html"
    },
    {
     "text": "Octave Kernel",
     "url": "https://github.com/Calysto/octave_kernel"
    },
    {
     "text": "MetaKernel Magics",
     "url": "https://metakernel.readthedocs.io/en/latest/source/README.html"
    }
   ],
   "mimetype": "text/x-octave",
   "name": "octave",
   "version": "8.2.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}