{ "cells": [ { "cell_type": "markdown", "id": "cb52986a", "metadata": {}, "source": [ "# 作业二:幺正变换与Bloch球" ] }, { "cell_type": "code", "execution_count": 1, "id": "9c2027e8-5cd5-4f54-8e5a-fe0c9729bd82", "metadata": {}, "outputs": [], "source": [ "###### -- QUANTA -- #######\n", "# Author: Y. Liu, W. Shi #\n", "# Data: 2022-09-17 #\n", "###########################\n", "\n", "from qutip import *\n", "from scipy.linalg import *\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "ecb80043-60fd-4255-8266-64a7f3960cf0", "metadata": {}, "source": [ "## 第一步:证明 $U=e^{i\\alpha}R_{\\vec{n}}(\\theta)$\n", "\n", "提交纸质作业(照片或扫描件),粘贴到该文本中\n", "![](image.png.png)" ] }, { "cell_type": "markdown", "id": "1ef1146b", "metadata": {}, "source": [ "## 第二步:U矩阵的解析与重建\n", "\n", "完善以下代码:" ] }, { "cell_type": "code", "execution_count": 2, "id": "f2de1493-1620-4adc-9734-e07d85fc11cc", "metadata": {}, "outputs": [], "source": [ "def resolveUnitary(U):\n", " alpha = 0.0000\n", " n = np.array([0.0000, 0.0000, 1.0000], dtype = float)\n", " theta = np.pi/4\n", " #######################################\n", " #todo: modify the following code to complete this function. The initial values are assigned manually\n", " \n", "\n", " #######################################\n", " U_params = {'alpha': alpha, 'n': n, 'theta': theta}\n", " return U_params\n", "\n", "def rebuildUnitary(U_params):\n", " alpha = U_params['alpha']\n", " n = U_params['n']\n", " theta = U_params['theta']\n", " #######################################\n", " #todo: modify the following code to complete this function. The initial values are assigned manually\n", " \n", " #U = np.array([[1.0000 + 0.0000j, 0.0000 + 0.0000j],[0.0000 + 0.0000j, 1.0000 + 0.0000j]], dtype = complex)\n", " #######################################\n", " return U\n" ] }, { "cell_type": "markdown", "id": "5462ae32", "metadata": {}, "source": [ "### 测试代码\n", "\n", "请同学们直接运行以下代码块检查所实现函数的正确性\n", "\n", "注:同学们可参考测试数据,但请勿修改测试代码!" ] }, { "cell_type": "code", "execution_count": 10, "id": "ed2c188d-a8e5-459f-b2ba-c16b7e5e9796", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check unitary resolving...\n", "Wrong Answer err = 53.547! Please Correct the code.\n", "Check unitary rebuilding...\n", "Wrong Answer err = 35.908! Please Correct the code.\n" ] } ], "source": [ "#don't modify the code in this block\n", "n_ck = 10\n", "U_ck = np.array([[[-0.6707 + 0.6665j, 0.2031 - 0.2545j],\n", " [-0.0453 + 0.3224j, -0.0234 + 0.9452j]],\n", " [[ 0.8792 + 0.0575j, -0.1825 + 0.4364j],\n", " [ 0.4730 - 0.0043j, 0.2785 - 0.8359j]],\n", " [[-0.5751 - 0.6049j, 0.1465 - 0.5310j],\n", " [ 0.5344 - 0.1332j, -0.5904 - 0.5900j]],\n", " [[ 0.4716 - 0.6140j, 0.1917 - 0.6032j],\n", " [-0.6234 - 0.1099j, 0.7627 - 0.1330j]],\n", " [[ 0.5559 + 0.8131j, -0.0088 - 0.1725j],\n", " [ 0.1709 + 0.0247j, 0.7583 + 0.6286j]],\n", " [[ 0.8838 - 0.4675j, -0.0088 + 0.0181j],\n", " [-0.0140 + 0.0144j, -0.1410 + 0.9898j]],\n", " [[-0.0874 + 0.8127j, 0.0353 - 0.5750j],\n", " [-0.1685 + 0.5509j, -0.2030 + 0.7918j]],\n", " [[-0.4976 - 0.7870j, -0.3288 + 0.1578j],\n", " [ 0.1857 + 0.3138j, -0.8510 + 0.3778j]],\n", " [[-0.1367 + 0.8515j, -0.3078 - 0.4018j],\n", " [ 0.0605 - 0.5026j, -0.5511 - 0.6634j]],\n", " [[ 0.2000 + 0.5090j, 0.4764 - 0.6885j],\n", " [-0.7248 - 0.4191j, -0.0365 - 0.5456j]]], dtype = complex)\n", "\n", "U_params_ck = [ { 'alpha' : 5.1191, 'n' : np.array([-0.1790, -0.6547, 0.7344], dtype=float), 'theta' : 5.2824}, \n", " { 'alpha' : 5.6913, 'n' : np.array([-0.3633, 0.5512, -0.7512], dtype=float), 'theta' : 1.5977},\n", " { 'alpha' : 0.7979, 'n' : np.array([ 0.8633, 0.5043, 0.0194], dtype=float), 'theta' : 5.1163},\n", " { 'alpha' : 5.7389, 'n' : np.array([ 0.6018, -0.6878, 0.4059], dtype=float), 'theta' : 1.5301},\n", " { 'alpha' : 3.9732, 'n' : np.array([-0.4976, -0.6054, 0.6212], dtype=float), 'theta' : 5.8387},\n", " { 'alpha' : 0.6129, 'n' : np.array([-0.0223, -0.0036, 0.9997], dtype=float), 'theta' : 2.1990},\n", " { 'alpha' : 1.7499, 'n' : np.array([-0.1169, 0.9879, 0.1015], dtype=float), 'theta' : 1.2352},\n", " { 'alpha' : 3.4362, 'n' : np.array([ 0.3473, -0.3789, -0.8578], dtype=float), 'theta' : 1.5776},\n", " { 'alpha' : 6.0162, 'n' : np.array([ 0.5018, 0.2044, -0.8405], dtype=float), 'theta' : 3.8707},\n", " { 'alpha' : 6.0626, 'n' : np.array([ 0.5696, -0.6177, -0.5423], dtype=float), 'theta' : 2.9738} ]\n", "\n", "def checkResolveUnitary():\n", " print(\"Check unitary resolving...\")\n", " err = 0.0000\n", " for it in range(n_ck):\n", " U_dict = resolveUnitary(U_ck[it])\n", "\n", " a_diff_1 = abs(U_dict['alpha'] - U_params_ck[it]['alpha'])\n", " n_diff_1 = np.sum(abs(U_dict['n'] - U_params_ck[it]['n']))\n", " t_diff_1 = abs(U_dict['theta'] - U_params_ck[it]['theta'])\n", " \n", " a_diff_2 = abs(abs(U_dict['alpha'] - U_params_ck[it]['alpha']) - np.pi)\n", " n_diff_2 = np.sum(abs(U_dict['n'] + U_params_ck[it]['n']))\n", " t_diff_2 = abs(U_dict['theta'] + U_params_ck[it]['theta'] - 2 * np.pi)\n", " err = err + min(a_diff_1 + n_diff_1 + t_diff_1, a_diff_2 + n_diff_2 + t_diff_2)\n", " if err < 0.01:\n", " print('Pass!')\n", " else:\n", " print('Wrong Answer err = %.3f! Please Correct the code.' % err)\n", "\n", "def checkRebuildUnitary():\n", " print(\"Check unitary rebuilding...\")\n", " err = 0.0000\n", " for it in range(n_ck):\n", " U = rebuildUnitary(U_params_ck[it])\n", " err = err + np.sum(abs(U - U_ck[it]))\n", " if err < 0.01:\n", " print('Pass!')\n", " else:\n", " print('Wrong Answer err = %.3f! Please Correct the code.' % err)\n", " \n", "checkResolveUnitary()\n", "checkRebuildUnitary()" ] }, { "cell_type": "markdown", "id": "e8e4809f-fae0-4738-b35b-c044da302857", "metadata": {}, "source": [ "## 第三步:幺正变换的绘制\n", "\n", "下面的代码将$U$的作用效果绘制在Bloch球上。修改代码完成幺正变换的旋转轴绘制" ] }, { "cell_type": "code", "execution_count": 5, "id": "0095a8e6-3f07-4bd6-bb63-831b2a756294", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(6,6))\n", "axes = Axes3D(fig, auto_add_to_figure=False)\n", "fig.add_axes(axes)\n", "sphere = Bloch(axes = axes)\n", "\n", "#example:\n", "\n", "U = np.array([[2**(-0.5), 2**(-0.5)], [2**(-0.5), -2**(-0.5)]], dtype = complex)\n", "U_p = resolveUnitary(U)\n", "sphere.add_vectors(U_p['n'])\n", "\n", "U_1 = np.array([[0.3536 + 0.6124j, 0.6124 - 0.3536j],\n", " [0.6124 - 0.3536j, 0.3536 + 0.6124j]], dtype = complex)\n", "psi_1 = np.array([[0.7337 + 0.0000j], [0.5213 + 0.4358j]], dtype = complex)\n", "psi_2 = np.matmul(U_1, psi_1)\n", "######################\n", "#todo:\n", "#plot the rotation axis of U_1, psi_1, psi_2 onto the Bloch sphere\n", "#Note: there is an overall phase in U_1, which is passed to psi_2\n", "\n", "\n", "\n", "######################\n", "sphere.make_sphere()\n", "\n", "#when using CMD to run this script, the Bloch sphere can be shown in an independent view by the following code.\n", "#fig.show()" ] }, { "cell_type": "markdown", "id": "6e8f8aba", "metadata": {}, "source": [ "## 第四步: 任意U矩阵的ZYZ分解\n", "\n", "完成下面的代码,实现任意酉矩阵的Z-Y-Z分解:$$U=e^{i\\alpha}R_z(\\beta)R_y(\\gamma)R_z(\\delta)$$" ] }, { "cell_type": "code", "execution_count": 6, "id": "fe03b5a6", "metadata": {}, "outputs": [], "source": [ "def R_z(theta):\n", " return np.matrix([[np.exp(-1j * theta / 2), 0],[0, np.exp(1j * theta / 2)]])\n", "\n", "def R_y(theta):\n", " return np.matrix([[np.cos(theta/2), -np.sin(theta/2)],[np.sin(theta/2), np.cos(theta/2)]])\n", "\n", "def R_x(theta):\n", " return np.matrix([[np.cos(theta/2), -1j * np.sin(theta/2)], [-1j * np.sin(theta/2), np.cos(theta/2)]])\n", "\n", "def ZYZ_Decomp(U):\n", " alpha = 0.0000\n", " beta = 0.0000\n", " gamma = 0.0000\n", " delta = 0.0000\n", " #######################################\n", " #todo: modify the following code to complete this function. The initial values are assigned manually\n", "\n", " #######################################\n", " return [alpha, beta, gamma, delta]" ] }, { "cell_type": "markdown", "id": "69f07a99", "metadata": {}, "source": [ "### 测试ZYZ分解" ] }, { "cell_type": "code", "execution_count": 7, "id": "af9c74d1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Wrong Answer err = 4.576! Please Correct the code.\n" ] } ], "source": [ "U_ck_zyz = np.array([[-0.5000 + 0.5000j, 0.7071 - 0.0000j],\n", " [-0.7071 + 0.0000j, -0.5000 - 0.5000j]], dtype = complex)\n", "\n", "p = ZYZ_Decomp(U_ck_zyz)\n", "\n", "U_reb = np.exp(1j * p[0]) * R_z(p[1]) * R_y(p[2]) * R_z(p[3])\n", "err = np.sum(abs(U_reb - U_ck_zyz))\n", "\n", "if err < 0.01:\n", " print('Pass') \n", "else:\n", " print('Wrong Answer err = %.3f! Please Correct the code.' % err)" ] }, { "cell_type": "code", "execution_count": null, "id": "ba95e7c7", "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": "3.9.12" }, "vscode": { "interpreter": { "hash": "36ef5299be8b39d12fe37e0a3e2d1d92e4d5b1bebd96141622ed9b31b20ebaae" } } }, "nbformat": 4, "nbformat_minor": 5 }