{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Qubits, the Bloch Sphere, and Basis States" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Installs and Imports\n", "\n", "We will need to install Qiskit, IBM's quantum computing language. Then we will need to import qiskits tools for creating Bloch sphere representations of qubits. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: qiskit in /Users/amelieschreiber/anaconda3/lib/python3.7/site-packages (0.13.0)\n", "Requirement already satisfied: qiskit-aqua==0.6.1 in /Users/amelieschreiber/anaconda3/lib/python3.7/site-packages (from qiskit) (0.6.1)\n", "Requirement already satisfied: qiskit-ignis==0.2.0 in /Users/amelieschreiber/anaconda3/lib/python3.7/site-packages (from qiskit) (0.2.0)\n", "Requirement already satisfied: qiskit-aer==0.3.2 in /Users/amelieschreiber/anaconda3/lib/python3.7/site-packages (from qiskit) (0.3.2)\n", "Requirement already satisfied: qiskit-ibmq-provider==0.3.3 in /Users/amelieschreiber/anaconda3/lib/python3.7/site-packages (from qiskit) (0.3.3)\n", "Requirement already satisfied: qiskit-terra==0.10.0 in /Users/amelieschreiber/anaconda3/lib/python3.7/site-packages (from qiskit) (0.10.0)\n", "Requirement already satisfied: 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updated packages.\n" ] } ], "source": [ "pip install qiskit" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from qiskit import *\n", "from qiskit.visualization import plot_bloch_vector\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Qubits, the Bloch Sphere, and Basis States" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Qubits are the basic unit of computation in a quantum computer, much like bits are the basic unit of computation in a \"classical\" computer. In bit based computing we have silicon chips with transistors which serve as \"on/off\" switches that serve as building blocks for complex systems of logic gates implementing Boolean logic. In a quantum computer, these \"on/off\" bits represented by strings of 0s and 1s are replaced by **qubits**. Qubits behave much differently from classical bits, but any classical computation involving bits can still be implemented on a quantum system of qubits. However, much more can be done qubits. They provide computational abilities that bits, classical computing, and classical information processing simply cannot replicate or accurately simulate. In some cases there are quantum information processes which provide a new paradigm for understanding information theory and computational complexity. Here we will focus on the basics and leave quantum complexity and subjects like entanglement entropy for the appendix at the end of the book on **tensor networks**. \n", "\n", "Qubits have many representations, the most common of them being as a $2$-dimensional complex unit vector: \n", "\n", "\\begin{align}\n", "|\\psi \\rangle = \\begin{pmatrix}\n", "\\alpha \\\\ \\beta\n", "\\end{pmatrix}, \\quad \\text{where } \\sqrt{\\langle \\psi | \\psi \\rangle} = 1. \n", "\\end{align}\n", "\n", "From the condition that the vector be of length one, we can deduce the following:\n", "\n", "\\begin{align}\n", "\\sqrt{\\langle \\psi | \\psi \\rangle} &= \\begin{pmatrix} \\alpha^*, & \\beta^* \\end{pmatrix}\\begin{pmatrix} \\alpha \\\\ \\beta \\end{pmatrix} \\\\\n", "&= \\sqrt{\\alpha^* \\alpha+ \\beta^* \\beta}\\\\\n", "&= \\sqrt{|\\alpha|^2 +|\\beta|^2} = 1 \\implies |\\alpha|^2 +|\\beta|^2 = 1. \n", "\\end{align}\n", "\n", "Remember, $\\alpha$ and $\\beta$ are complex numbers (elements of $\\mathbb{C}$), and so the vector $|\\psi \\rangle \\in \\mathbb{C}^2$. The vectors representing qubit **[pure states](https://en.wikipedia.org/wiki/Quantum_state#Pure_states)** actually live on the **Riemann sphere** also called the **[complex projective line](https://en.wikipedia.org/wiki/Riemann_sphere#As_the_complex_projective_line)** $\\mathbb{P}^1(\\mathbb{C})$. \n", "\n", "The second representation, which comes from the representation of pure states as points on the Riemann sphere and that is very common in the literature and in software packages for quantum computing is via the **[Bloch sphere](https://en.wikipedia.org/wiki/Bloch_sphere)**, named after the Nobel laureate and physicist [Felix Bloch](https://en.wikipedia.org/wiki/Felix_Bloch). Generally, the north pole represents the basis state \n", "\n", "\\begin{align}\n", "|0\\rangle = \\begin{pmatrix} 1\\\\0 \\end{pmatrix}\n", "\\end{align}\n", "\n", "We can visualize this in Qiskit as follows:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([0,0,1], title=\"Spin-Up\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pauli Basis States\n", "\n", "In general we have the following six basis states in terms of the \"**Puali matrices**\" which we will define later. \n", "\n", "### Spin-up/Spin-down (z-axis)\n", "\n", "\\begin{align}\n", "\\text{spin-up}: \\ |0\\rangle &= \\begin{pmatrix} 1\\\\0 \\end{pmatrix} \\\\\n", "\\text{spin-down}: \\ |1\\rangle & = \\begin{pmatrix} 0\\\\1 \\end{pmatrix}\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([0,0,1], title=\"Spin-Up\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([0,0,-1], title=\"Spin-Down\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spin-right/Spin-left (x-axis)\n", "\n", "\\begin{align}\n", "\\text{spin-right}: \\ |r\\rangle &= \\begin{pmatrix} 1/\\sqrt{2} \\\\ i/\\sqrt{2} \\end{pmatrix} = \\frac{1}{\\sqrt{2}} \\left(|0\\rangle + i|1\\rangle\\right) \\\\\n", "\\text{spin-left}: \\ |l\\rangle & = \\begin{pmatrix} 1/\\sqrt{2} \\\\ -i/\\sqrt{2} \\end{pmatrix} = \\frac{1}{\\sqrt{2}} \\left(|0\\rangle - i|1\\rangle\\right)\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([0,1,0], title=\"Spin-Right\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([0,-1,0], title=\"Spin-Left\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spin +/Spin - (y-axis)\n", "\n", "\\begin{align}\n", "\\text{spin +}: \\ |+\\rangle &= \\begin{pmatrix} 1/\\sqrt{2} \\\\ 1/\\sqrt{2} \\end{pmatrix} = \\frac{1}{\\sqrt{2}} \\left(|0\\rangle + |1\\rangle\\right) \\\\\n", "\\text{spin -}: \\ |-\\rangle & = \\begin{pmatrix} 1/\\sqrt{2} \\\\ -1/\\sqrt{2} \\end{pmatrix} = \\frac{1}{\\sqrt{2}} \\left(|0\\rangle - |1\\rangle\\right)\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([1,0,0], title=\"Spin-Plus\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([-1,0,0], title=\"Spin-Minus\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Arbitrary State Vectors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to define an arbitrary sate vector on the Bloch sphere we simply need to define a unit vector in $3$-dimensional space as the input state. To do this, define any $3$-dimensional vector, then divide it by its length (or norm). This will give a vector of length one, which can then be used as an input for Qiskit to plot on the Bloch sphere. \n", "\n", "An arbitrary pure state can be represented as some linear combination:\n", "\n", "\\begin{align}\n", "|\\psi \\rangle =\n", "\\begin{pmatrix}\n", "\\alpha \\\\ \\beta\n", "\\end{pmatrix} = \\alpha |0\\rangle + \\beta |1\\rangle\n", "\\end{align}\n", "\n", "where $|\\alpha|^2 + |\\beta|^2 = 1$. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.57735027 -0.57735027 0.57735027]\n" ] } ], "source": [ "# Define a 3-dimensional vector\n", "vect = np.array([1, -1, 1])\n", "\n", "# Divide it by its length (or norm)\n", "psi = vect/(np.linalg.norm(vect))\n", "print(psi)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Plot psi on the Bloch sphere using Qiskit\n", "plot_bloch_vector(psi, title=\"psi\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could also use *spherical coordinates* to define a unit vector that always lies on the surface of the unit sphere in $3$-dimensions, which is the Bloch sphere. To do this, we choose $\\rho = 1$, and then choose two angles $\\phi \\in [0, \\pi]$ and $\\theta \\in [0, 2\\pi]$. The $x, y,$ and $z$ coordinates are then: \n", "\n", "\\begin{align}\n", "x &= \\rho \\sin(\\phi) \\cos(\\theta) \\\\\n", "y &= \\rho \\sin(\\phi) \\sin(\\theta) \\\\\n", "z &= \\rho \\cos(\\phi)\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let do an example with $\\phi = 0$ and $\\theta = 0$. This should correspond to spin-up since we get\n", "\n", "\\begin{align}\n", "x &= 0 \\\\\n", "y &= 0 \\\\\n", "z &= 1\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x= 0.0\n", "y= 0.0\n", "z= 1.0\n", "psi1= [0. 0. 1.]\n" ] } ], "source": [ "x = np.sin(0)*np.cos(0)\n", "y = np.sin(0)*np.sin(0)\n", "z = np.cos(0)\n", "\n", "psi1 = np.array([x, y, z])\n", "print(\"x=\", x)\n", "print(\"y=\", y)\n", "print(\"z=\", z)\n", "print(\"psi1=\", psi1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Plot psi on the Bloch sphere using Qiskit\n", "plot_bloch_vector(psi1, title=\"psi1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try to use spherical coordinates to create the spin-down state now. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x= -0.0\n", "y= 0.0\n", "z= -1.0\n", "psi2= [-0. 0. -1.]\n" ] } ], "source": [ "x = np.sin(0)*np.cos(np.pi)\n", "y = np.sin(0)*np.sin(np.pi)\n", "z = np.cos(np.pi)\n", "\n", "psi2 = np.array([x, y, z])\n", "print(\"x=\", x)\n", "print(\"y=\", y)\n", "print(\"z=\", z)\n", "print(\"psi2=\", psi2)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Plot psi on the Bloch sphere using Qiskit\n", "plot_bloch_vector(psi2, title=\"psi2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's define the six basis states in Python and compute some things with them. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "spin up: [[1]\n", " [0]]\n", "spin down: [[0]\n", " [1]]\n", "spin right: [[0.70710678+0.j ]\n", " [0. +0.70710678j]]\n", "spin left: [[0.70710678+0.j ]\n", " [0. -0.70710678j]]\n", "spin plus: [[0.70710678]\n", " [0.70710678]]\n", "spin minus: [[ 0.70710678]\n", " [-0.70710678]]\n" ] } ], "source": [ "spin_up = np.matrix([[1], \n", " [0]])\n", "\n", "spin_down = np.matrix([[0],\n", " [1]])\n", "\n", "spin_right = (1/np.sqrt(2))*(spin_up + 1j*spin_down)\n", "\n", "spin_left = (1/np.sqrt(2))*(spin_up - 1j*spin_down)\n", "\n", "spin_plus = (1/np.sqrt(2))*(spin_up + spin_down)\n", "\n", "spin_minus = (1/np.sqrt(2))*(spin_up - spin_down)\n", "\n", "print('spin up:', spin_up)\n", "print('spin down:', spin_down)\n", "print('spin right:', spin_right)\n", "print('spin left:', spin_left)\n", "print('spin plus:', spin_plus)\n", "print('spin minus:', spin_minus)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[1]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.dot(spin_down.H, spin_down)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[0.+0.j]])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.dot(spin_left.H, spin_right)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "Compute the following inner products. \n", "\n", "1. $\\langle 0 | 1 \\rangle$\n", "2. $\\langle 1 | 0 \\rangle$ \n", "3. $\\langle 1 | 1 \\rangle$\n", "4. $\\langle r | l \\rangle$\n", "5. $\\langle l | r \\rangle$\n", "6. $\\langle r | r \\rangle$\n", "7. $\\langle l | l \\rangle$\n", "8. $\\langle + | - \\rangle$\n", "9. $\\langle + | r \\rangle$\n", "10. $\\langle - | l \\rangle$\n", "11. $\\langle 0 | r \\rangle$\n", "12. $\\langle l | 1 \\rangle$\n", "13. $\\langle 0 | + \\rangle$\n", "14. $\\langle - | - \\rangle$\n", "15. $\\langle - | r \\rangle$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the following states on the Bloch sphere using Qiskit for the given angles $\\phi$ and $\\theta$. \n", "\n", "16. $\\phi = \\pi/2$, $\\theta = -\\pi/3$. \n", "17. $\\phi = -\\pi/4$, $\\theta = -\\pi/6$. \n", "18. $\\phi = -\\pi/2$, $\\theta = \\pi/4$.\n", "19. $\\phi = \\pi/3$, $\\theta = -\\pi$. \n", "20. $\\phi = -\\pi/6$, $\\theta = -\\pi/4$. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }