qsvt-qpe.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quantum Phase Estimation\n",
    "\n",
    "This phase estimation algorithm is intended to be implemented under the framework of QSVT (Quantum Singular Value Transformation). However, after considerable simplification, this implementation is **equivalent** to the *ordinary* phase estimation algorithm (the one with inverse QFT).\n",
    "\n",
    "See [A Grand Unification of Quantum Algorithms](https://arxiv.org/abs/2105.02859), p.21."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit.circuit import QuantumRegister, ClassicalRegister\n",
    "from qiskit.extensions import UnitaryGate\n",
    "from qiskit.quantum_info import Operator, Statevector\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from qsvt.algorithms import phase_estimation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eigvec_dim: 1\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 2228.78x1956.5 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prepare_eigenvec = QuantumCircuit(1)\n",
    "U = np.array([\n",
    "    [1, 0],\n",
    "    [0, np.e ** (2 * np.pi * 1j * (2/7))]\n",
    "])\n",
    "prepare_eigenvec.x([0])\n",
    "\n",
    "# prepare_eigenvec = QuantumCircuit(2)\n",
    "# U = np.array([\n",
    "#     [1, 0, 0, 0],\n",
    "#     [0, 1, 0, 0],\n",
    "#     [0, 0, 1, 0],\n",
    "#     [0, 0, 0, np.e ** (2 * np.pi * 1j * (2/9))]\n",
    "# ])\n",
    "# prepare_eigenvec.x([0, 1])\n",
    "\n",
    "precision = 6\n",
    "\n",
    "qc = phase_estimation(U, precision, prepare_eigenvec)\n",
    "qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import transpile\n",
    "from qiskit_aer import AerSimulator\n",
    "from qiskit.visualization import plot_histogram\n",
    "\n",
    "cr = ClassicalRegister(precision)\n",
    "qc.add_register(cr)\n",
    "qc.measure(list(range(precision)), cr)\n",
    "sim = AerSimulator()\n",
    "transpiled_circuit = transpile(qc, sim)\n",
    "\n",
    "# run job\n",
    "shots = 1000\n",
    "job = sim.run(transpiled_circuit, shots=shots, dynamic=True)\n",
    "\n",
    "# Get the results and display them\n",
    "exp_result = job.result()\n",
    "exp_counts = exp_result.get_counts()\n",
    "plot_histogram(exp_counts)"
   ]
  }
 ],
 "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": "3.10.12"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}