{ "cells": [ { "cell_type": "markdown", "id": "bcdc97b0", "metadata": {}, "source": [ "# 作业三:测量的Bloch球表示" ] }, { "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:测量算符的测量基\n", "\n", "给定任意的厄米算符,求其测量基" ] }, { "cell_type": "code", "execution_count": 2, "id": "f2de1493-1620-4adc-9734-e07d85fc11cc", "metadata": {}, "outputs": [], "source": [ "def getBasisState(O):\n", " psi_0 = np.matrix([[1.0000],[0.0000]], dtype = complex)\n", " psi_1 = np.matrix([[0.0000],[1.0000]], dtype = complex)\n", " #######################################\n", " #todo: modify the following code to complete this function. The initial values are assigned manually. Base vector with larger eigen values are listed ahead. i.e. eig_v[0] > eig_v[1]\n", " \n", " \n", " #######################################\n", " # order: eigenvalue(psi_0) > eivenvalue(psi_1)\n", " return [psi_0, psi_1]\n", "\n", "def Meas(psi, O):\n", " m_base = getBasisState(O)\n", " p0 = 0.5000\n", " p1 = 0.5000\n", " #######################################\n", " #todo: modify the following code to complete this function. The initial values are assigned manually\n", " p0 = (abs(m_base[0].H * psi)**2)[0,0]\n", " p1 = (abs(m_base[1].H * psi)**2)[0,0]\n", " #######################################\n", " return [p0, p1]" ] }, { "cell_type": "markdown", "id": "5462ae32", "metadata": {}, "source": [ "### 测试代码:" ] }, { "cell_type": "code", "execution_count": 3, "id": "ed2c188d-a8e5-459f-b2ba-c16b7e5e9796", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Check the obtained basis state...\n", "Wrong Answer err = 0.660! Please Correct the code.\n", "Check the obtained probabilities...\n", "Wrong Answer err = 0.426! Please Correct the code.\n" ] } ], "source": [ "#don't modify the code in this block\n", "H_ck = np.matrix([[1.0170 + 0.0000j, 1.3284 + 0.4330j],\n", " [1.3284 - 0.4330j, 1.5897 + 0.0000j]], dtype = complex)\n", "psi_ck = np.matrix([[0.7337 + 0.0000j],[0.5213 + 0.4358j]], dtype = complex)\n", "\n", "def checkBasisState():\n", " err = 0.0000 # used to accumulated all the errors\n", " print(\"Check the obtained basis state...\")\n", " psi = getBasisState(H_ck)\n", "\n", " # check the orthogonality\n", " err = abs(psi[0].H * psi[0] - 1) + abs(psi[1].H * psi[0]) + abs(psi[0].H * psi[1]) + abs(psi[1].H * psi[1] - 1)\n", "\n", " # check if eigenstate\n", " psi_0 = H_ck * psi[0]\n", " err = err + np.real(1 - abs(psi_0.H*psi[0]/(norm(psi_0)*norm(psi[0]))))\n", "\n", " psi_1 = H_ck * psi[1]\n", " err = err + np.real(1 - abs(psi_1.H*psi[1]/(norm(psi_1)*norm(psi[1]))))\n", "\n", " if err < 0.01:\n", " print('Pass!')\n", " else:\n", " print('Wrong Answer err = %.3f! Please Correct the code.' % err)\n", " \n", "\n", "def checkProb():\n", " print(\"Check the obtained probabilities...\")\n", "\n", " p = Meas(psi_ck, H_ck)\n", "\n", " err = abs(p[0] - 0.7515) + abs(p[1] - 0.2485)\n", " if err < 0.01:\n", " print('Pass!')\n", " else:\n", " print('Wrong Answer err = %.3f! Please Correct the code.' % err)\n", " return\n", "\n", "checkBasisState()\n", "checkProb()" ] }, { "cell_type": "markdown", "id": "e8e4809f-fae0-4738-b35b-c044da302857", "metadata": {}, "source": [ "## 第二步:测量的Bloch球表示\n", "\n", "将测量的含义绘制在Bloch球上。修改代码完成绘制。\n", "注意:\n", "* make_sphere函数会将add_points/add_vectors体现在Bloch球上,如果需要再在Bloch球上绘制内容,需要在make_sphere函数之后再通过plot函数绘制。\n", "* sphere的坐标系与plt.plot()函数的坐标系有所不同。函数plotLine()中有所体现。\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "0095a8e6-3f07-4bd6-bb63-831b2a756294", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plotLine(point1, point2, config):\n", " plt.plot([point1[1], point2[1]], [-point1[0], -point2[0]], [point1[2], point2[2]], config)\n", "\n", "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", "#coordinates of given basis states\n", "coord0 = np.array([ 0.0995, 0.0000, 0.9950], dtype = float)\n", "coord1 = np.array([ -0.0995, -0.0000, -0.9950], dtype = float)\n", "psi_ex_coord = np.array([0.9518, 0.0000, 0.3068], dtype = float)\n", "#probabilities are:\n", "p = [0.3, 0.7]\n", "coord_projection = p[0] * coord1 + p[1] * coord0\n", "\n", "sphere.add_points(coord0)\n", "sphere.add_points(coord1)\n", "sphere.add_points(psi_ex_coord)\n", "sphere.add_points(coord_projection)\n", "\n", "######################\n", "#todo: plot the two basis states of H, and the probability of psi on H.\n", "H = np.matrix([[2**(-0.5), 2**(-0.5)], [2**(-0.5), -2**(-0.5)]], dtype=complex)\n", "psi = np.matrix([[3**(-0.5)],[(2/3)**(0.5) * 1j]], dtype=complex)\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "######################\n", "sphere.make_sphere()\n", "\n", "#example\n", "# Plot by 'plt' have to be called after 'make_sphere()'\n", "plotLine(coord_projection, psi_ex_coord, '-k')\n", "plotLine(coord_projection, coord0, '-b')\n", "plotLine(coord_projection, coord1, '-r')\n", "######################\n", "#todo: plot the line corresponding to the probabilities of measurement.\n", "\n", "\n", "######################" ] } ], "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 }