{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PyOR Quantum\n",
    "## Author: Vineeth Thalakottoor\n",
    "## Introduction to Bloch vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define the source path\n",
    "SourcePath = '/media/HD2/Vineeth/PostDoc_Simulations/Github/PyOR_V1/PyOR_Combined/PyOR/Source_Doc'\n",
    "\n",
    "# Add source path\n",
    "import sys\n",
    "sys.path.append(SourcePath)\n",
    "\n",
    "# Import PyOR package\n",
    "from PyOR_QuantumLibrary import QuantumLibrary\n",
    "QLib = QuantumLibrary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0\\\\0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[1.0],\n",
       "[  0]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Bloch Vector:\n",
    "vec1 = QLib.Bloch_Vector(theta = 0.0, phi = 0.0)\n",
    "vec1.matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}6.12323399573677 \\cdot 10^{-17}\\\\1.0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[6.12323399573677e-17],\n",
       "[                 1.0]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Bloch Vector:\n",
    "vec2 = QLib.Bloch_Vector(theta = 180.0, phi = 0.0)\n",
    "vec2.matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0.707106781186548\\\\0.707106781186547\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[0.707106781186548],\n",
       "[0.707106781186547]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Bloch Vector:\n",
    "vec3 = QLib.Bloch_Vector(theta = 90.0, phi = 0.0)\n",
    "vec3.matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0.707106781186548\\\\-0.707106781186547 + 8.65956056235493 \\cdot 10^{-17} i\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "Matrix([\n",
       "[                          0.707106781186548],\n",
       "[-0.707106781186547 + 8.65956056235493e-17*I]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Bloch Vector:\n",
    "vec4 = QLib.Bloch_Vector(theta = 90.0, phi = 180.0)\n",
    "vec4.matrix"
   ]
  }
 ],
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