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   "source": [
    "## Ejercicio 6.1: Puertas cuánticas"
   ]
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   "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"
   ]
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   "cell_type": "code",
   "execution_count": 1,
   "id": "e51496e6",
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   "source": [
    "import numpy as np\n",
    "   \n",
    "# Definimos las puertas de Pauli y la puerta de Hadamard:\n",
    "\n",
    "# y las aplicamos al estado ket_psi:\n"
   ]
  }
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