{ "cells": [ { "cell_type": "markdown", "id": "f82fae02", "metadata": {}, "source": [ "(superposicion)=\n", "# Introducción. Qubits\n", "```{index} qubit, Dirac (notación), bra-ket (notación), ket\n", "```\n", "\n", "La informática clásica se basa en la noción de bit como la unidad primaria de la información. Esta concepción de unidad básica de información se denomina *qubit* en programación cuántica. Aunque esto puede variar, los dos qubits más utilizado son $|0\\rangle$ y $|1\\rangle$, los cuales forman lo que se denomina una base (similar a lo que ocurre en una base de un espacio vectorial). La notación anterior es la normalmente utilizada dentro de la programación cuántica y se denominación notación de *Dirac*, y los elementos que la componen son los *bra-ket*. Como se puede observar los dígitos 0 y 1 están encerrados entre una barra vertical y una escuadra angular, denominada *Ket*.\n", "\n", "```{index} Bloch sphere, esfera de Bloch\n", "```\n", "\n", "Para visualizar los estados dentro del mundo cuántico, se utiliza la denominada *esfera de Bloch (Bloch sphere)*. Esta esfera tienen la característica principal de que tiene radio 1, y entonces los qubits anteriormente referenciados se representan en la misma según la figura que sigue, que como se puede observar están situados en el polo norte y polo sur de dicha esfera.\n", "\n", "![](images/Bloch_0_1.PNG)\n", "\n", "Más adelante se verá cómo poder representar este tipo de información utilizando la herramienta qiskit , ampliamente utilizada para el desarrollo de la programación cuántica.\n", "\n", "Como puede verse en la figura anterior, y si utilizamos coordenadas cartesianas, el qubit $|0\\rangle$ quedaría representado por el siguiente trío de valores: (0,0,1), mientras que el elemento $|1\\rangle$ sería equivalente a (0,0,-1).\n", "\n", "## Superposición de estados.\n", "\n", "En el aparatado anterior, se han presentado dos qubits que pueden ser asimilados a los bits de la programación clásica. Pero sin embargo en la programación cuántica se establece el concepto de superposición de estados, que no es más que una combinación líneal de elementos de una base. De esta manera posemos poner en estado de superposición los dos elementos anteriores generando un nuevo qubit, de la siguiente manera:\n", "\n", "$$|\\gamma\\rangle=\\alpha \\cdot |0\\rangle + \\beta \\cdot |1\\rangle$$\n", "\n", "De tal manera que $\\alpha$ y $\\beta$ serían números complejos y además para que el valor obtenido quede dentro de la esfera unidad deberán cumplir que $\\alpha^2 + \\beta^2=1$.\n", "\n", "Por lo tanto uno de los muchos estados que podemos obtener de esta manera podría ser el siguiente:\n", "\n", "$$\\frac{1}{\\sqrt{2}}\\left(|0\\rangle+|1\\rangle\\right)$$\n", "\n", "que verifica lo siguiente, dada la construcción que se ha hecho del mismo: puesto que los coeficientes utilizados son los mismos, debería estar a la misma distancia de los elementos $|0\\rangle$ y $|1\\rangle$, es decir debería estar equidistante del polo norte y del sur y por lo tanto los puntos de la esfera unidad que verifican esta propiedad son todos los que están en el ecuador de la esfera de Bloch. En concreto ese punto sería el que se representa en la siguiente figura:\n", "\n", "\n", "![](images/Bloch_1_0_0.PNG)\n", "\n", "En coordenadas cartesianas, este punto sería el (1,0,0).\n", "\n", "A pesar de que en estos momentos el lector no entienda bien el código que se le va a presentar, se ha creído útil hacerlo, de cara a la representación de estos estados superpuestos utilizando quiskit. Para ello simplemente decir que existen tres formas de representar los elementos de la esfera de Bloch:\n", "\n", "* Mediante coordenadas polares\n", "\n", "* Mediante coordenadas cartesianas\n", "\n", "* utilizando la nomenclatura que se ha utilizado anteriormente.\n", "```{index} plot_bloch_vector\n", "```\n", "\n", "\n", "Teniendo en cuenta lo anterior, cabe decir que quiskit tiene la clase denominada *plot_bloch_vector* que permite hacer estas representaciones gráficas sobre la esfera de Bloch. Pero como puede verse en su documentación los tipos de coordenadas que admiten son las de tipo cartesiano y la de coordenadas polares. Por lo tanto se deben hacer una serie de transformaciones para que un qubit expresado de la tercera forma (que es la que se ha visto hasta la fecha), se pueda representar con esta clase. Para ello lo que hacemos es pasar ese tipo de coordenadas a polares y después utilizar esta clase de python.\n", "\n", "Observar que previamente a ejecutar el siguiente código, lo que tenemos que tener es descargadas las librerías de numpy y qiskit. Esto lo haríamos con el siguiente código (descomentarlo si se quiere reutilizar).\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "a0e2ddc0", "metadata": {}, "outputs": [], "source": [ "#!pip install qiskit\n", "#pip install numpy" ] }, { "cell_type": "markdown", "id": "953198fb", "metadata": {}, "source": [ "Ahora ya podríamos generar el código necesario. Se aconseja al lector ir a este enlace para entender mejor lo que se está haciendo, aunque como ya se ha dicho antes no es necesario entenderlo para seguir hacia adelante con el resto de la materia (no obstante, más adelante, en el apartado [específico de la esfera de Bloch](mapeo) se explica mejor esta forma de proceder).\n", "\n", "Importamos inicialmente la librerías necesarias" ] }, { "cell_type": "code", "execution_count": 2, "id": "f739e0cf", "metadata": {}, "outputs": [], "source": [ "import math, cmath\n", "import numpy as np\n" ] }, { "cell_type": "markdown", "id": "2bd21a0e", "metadata": {}, "source": [ "A continuación vamos a definir los dos números complejos del estado superpuesto siguiente:\n", "$$\\frac{1}{\\sqrt{2}}|0\\rangle+\\frac{1}{\\sqrt{2}}|1\\rangle$$\n", "\n", "Es decir con $z_1$ representamos el completo $\\frac{1}{\\sqrt{2}}+0i$ y con $z_2$ el mismo complejo." ] }, { "cell_type": "code", "execution_count": 3, "id": "b285a69c", "metadata": {}, "outputs": [], "source": [ "z1=complex(1/np.sqrt(2),0)\n", "z2=complex(1/np.sqrt(2),0)" ] }, { "cell_type": "markdown", "id": "7fb27f46", "metadata": {}, "source": [ "A continuación pasamos a coordenadas polares el punto que representan en la esfera de Bloch, de la siguiente manera" ] }, { "cell_type": "code", "execution_count": 4, "id": "f49dd287", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "θ = 1.5707963267948968\n", "φ = 0.0\n" ] } ], "source": [ "r1, phi1 = cmath.polar(z1)\n", "r2, phi2 = cmath.polar(z2)\n", "\n", "theta = 2 * math.acos(r1)\n", "phi = phi2 - phi1\n", "\n", "print('θ =', theta)\n", "print('φ =', phi)" ] }, { "cell_type": "markdown", "id": "dcd3e551", "metadata": {}, "source": [ "Con la información anterior, ya podemos hacer la representación gráfica del qubit sobre el que estamos trabajando" ] }, { "cell_type": "code", "execution_count": 5, "id": "990a78de", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from qiskit.visualization import plot_bloch_vector\n", "\n", "# You can use spherical coordinates instead of cartesian.\n", "\n", "plot_bloch_vector([1, theta, phi], coord_type='spherical',title='Aquí irá el título',figsize=(3,3))" ] }, { "cell_type": "markdown", "id": "b97dfada", "metadata": {}, "source": [ "Con la explicación dada anteriormente, ya estamos en condiciones de definir una función en Python que nos obtenga esas coordenadas" ] }, { "cell_type": "code", "execution_count": 72, "id": "5173ed22", "metadata": {}, "outputs": [], "source": [ "def super2polares(z1,z2, titulo=\"Un título\"):\n", " \"\"\"\n", " Función que nos sirve para pasar de unas coordenadas del tercer tipo a coordenadas polares\n", " \n", " @parámetros:\n", " \n", " z1: Valores del primero número complejo\n", " \n", " z2: valores del segundo número complejo\n", " \n", " \n", " @return:\n", " \n", " Los valores del theta y phi de las coordenadas esféricas\n", " \"\"\"\n", " \n", " \n", " r1, phi1 = cmath.polar(z1)\n", " r2, phi2 = cmath.polar(z2)\n", "\n", " theta = 2 * math.acos(r1)\n", " phi = phi2 - phi1\n", "\n", " return theta,phi" ] }, { "cell_type": "markdown", "id": "817f7421", "metadata": {}, "source": [ "Utilizamos la función anterior para hacer la representación gráfica correspondiente sobre la esfera de Bloch" ] }, { "cell_type": "code", "execution_count": 73, "id": "7a96c84d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z1=complex(1/np.sqrt(2),0) # primer número\n", "z2=complex(1/np.sqrt(2),0) #segundo número\n", "resul =super2polares(z1,z2) # almacenamos la información en una tupla\n", "# Y ahora ya podemos hacer la representación gráfica\n", "plot_bloch_vector([1, resul[0], resul[1]], coord_type='spherical',\n", " title='Estado: $\\\\frac{1}{\\\\sqrt{2}}|0\\\\rangle+\\\\frac{1}{\\\\sqrt{2}}|1\\\\rangle$',figsize=(3,3))" ] }, { "cell_type": "markdown", "id": "acfd9b83", "metadata": {}, "source": [ "Existen igualmente una serie de estados que tienen una amplia utilización dentro de la programación cuántica, y que además cuentan con una denominación concreta. Estos estados son los siguientes:\n", "\n", "* $|+\\rangle=\\frac{1}{\\sqrt{2}}\\left(|0\\rangle+|1\\rangle\\right)$\n", "\n", "* $|-\\rangle=\\frac{1}{\\sqrt{2}}\\left(|0\\rangle-|1\\rangle\\right)$\n", "\n", "* $|i\\rangle=\\frac{1}{\\sqrt{2}}\\left(|0\\rangle+i|1\\rangle\\right)$\n", "\n", "* $|-i\\rangle=\\frac{1}{\\sqrt{2}}\\left(|0\\rangle-i|1\\rangle\\right)$\n", "\n", "La representación gráfica de estos cuatro estados en la esfera de Bloch, se puede apreciar en la siguiente figura:\n", "\n", "![](images/Bloch_importantes.PNG)" ] }, { "cell_type": "markdown", "id": "66c1ba43", "metadata": {}, "source": [ "Otra forma de representación de los estados cuánticos puede ser por ejemplo la siguiente:$\\frac{1}{\\sqrt{2}}\\left(|0\\rangle+e^{i\\pi/6}|1\\rangle\\right)$. Observar que este qubit también se encuentra sobre el ecuador de la esfera de Bloch.\n", "\n", "Para familiarizarnos con los números complejos de python, vamos a poner el número complejo $e^{i\\pi/6}$ en un formato con el que se pueda operar en python, de la siguiente manera:" ] }, { "cell_type": "code", "execution_count": 74, "id": "19352380", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0.8660254037844387+0.49999999999999994j)\n" ] } ], "source": [ "print(cmath.exp(complex(0,np.pi/6)))" ] }, { "cell_type": "markdown", "id": "9fa60351", "metadata": {}, "source": [ "vamos ahora a ver cómo podemos hacer su representación gráfica en la esfera de Bloch" ] }, { "cell_type": "code", "execution_count": 75, "id": "afec4a5f", "metadata": {}, "outputs": [], "source": [ "z1= complex(1/np.sqrt(2),0)\n", "z2 = (1/np.sqrt(2))*cmath.exp(complex(0,np.pi/6))" ] }, { "cell_type": "code", "execution_count": 76, "id": "b828a340", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" } ], "source": [ "resul =super2polares(z1,z2)\n", "plot_bloch_vector([1, resul[0], resul[1]], coord_type='spherical',\n", " title='qubit: $\\\\frac{1}{\\\\sqrt{2}}\\\\left(|0\\\\rangle+e^{i\\\\pi/6}|1\\\\rangle\\\\right)$',figsize=(3,3))" ] }, { "cell_type": "markdown", "id": "1610b335", "metadata": {}, "source": [ "(puntoesfera)=\n", "\n", "Por supuesto existen puntos que no necesariamente están sobre el ecuador de la esfera. Por ejemplo el qubit $\\frac{\\sqrt{3}}{2}|0\\rangle+\\frac{1}{2}|1\\rangle$.\n", "\n", "Su representación gráfica es la siguiente:" ] }, { "cell_type": "code", "execution_count": 77, "id": "b4e6d8a8", "metadata": {}, "outputs": [], "source": [ "z1=complex(np.sqrt(3)/2,0)\n", "z2=complex(1/2,0)" ] }, { "cell_type": "code", "execution_count": 78, "id": "c8890d18", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "resul =super2polares(z1,z2)\n", "plot_bloch_vector([1, resul[0], resul[1]], coord_type='spherical',\n", " title='qubit:$\\\\frac{\\\\sqrt{3}}{2}|0\\\\rangle+\\\\frac{1}{2}|1\\\\rangle$',figsize=(3,3))" ] }, { "cell_type": "markdown", "id": "445733e1", "metadata": {}, "source": [ "Igualmente, representemos el qubit $\\frac{2}{3}|0\\rangle+\\frac{1-2i}{3}|1\\rangle$" ] }, { "cell_type": "code", "execution_count": 79, "id": "79948271", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z1=complex(2/3,0)\n", "z2=complex(1/3,-2/3)\n", "resul =super2polares(z1,z2)\n", "plot_bloch_vector([1, resul[0], resul[1]], coord_type='spherical',\n", " title='qubit:$\\\\frac{2}{3}|0\\\\rangle+\\\\frac{1-2i}{3}|1\\\\rangle$',figsize=(3,3))" ] }, { "cell_type": "markdown", "id": "66f814b2", "metadata": {}, "source": [ "Es conveniente recordar por lo tanto que un **un qubit es cualquier punto de la esfera de Bloch**.\n", "\n", "Como puede verse todo este aparato teórico está fuertemente soportado en base a una estructura donde los números complejos juegan un papel importante, por lo que se ha creído oportuno crear un apartado dedicado en exclusiva a este tipo de números, y dicho capítulo [se puede encontrar en este apartado](complejos). " ] }, { "cell_type": "code", "execution_count": null, "id": "25ee1e21", "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": "3.11.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }