tequila-grover-sudoku.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "backend         | wfn        | sampling   | noise      | installed \n",
      "--------------------------------------------------------------------\n",
      "qulacs_gpu      | False      | False      | False      | False     \n",
      "qulacs          | False      | False      | False      | False     \n",
      "qibo            | False      | False      | False      | False     \n",
      "qiskit          | True       | True       | True       | True      \n",
      "cirq            | True       | True       | True       | True      \n",
      "pyquil          | True       | True       | True       | True      \n",
      "symbolic        | True       | False      | False      | True      \n",
      "qlm             | False      | False      | False      | False     \n"
     ]
    }
   ],
   "source": [
    "import copy\n",
    "import tequila as tq\n",
    "from tequila import gates\n",
    "tq.show_available_simulators()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [],
   "source": [
    "def xor(q1: int, q2: int, output: int):\n",
    "    circuit = tq.QCircuit()\n",
    "    circuit += gates.CNOT(q1, output)\n",
    "    circuit += gates.CNOT(q2, output)\n",
    "    return circuit"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [],
   "source": [
    "def sudoku_oracle(inputs: list[int], tmp: list[int], output: int):\n",
    "    circuit = tq.QCircuit()\n",
    "\n",
    "    circuit += xor(inputs[0], inputs[1], tmp[0])\n",
    "    circuit += xor(inputs[1], inputs[3], tmp[1])\n",
    "    circuit += xor(inputs[0], inputs[2], tmp[2])\n",
    "    circuit += xor(inputs[2], inputs[3], tmp[3])\n",
    "\n",
    "    circuit_t = copy.deepcopy(circuit)\n",
    "\n",
    "    circuit += gates.X(output, tmp)\n",
    "\n",
    "    circuit += circuit_t\n",
    "\n",
    "    return circuit"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [],
   "source": [
    "def reflect_zero(inputs: list[int]):\n",
    "    circuit = tq.QCircuit()\n",
    "\n",
    "    circuit += gates.X(inputs)\n",
    "    circuit += gates.Z(inputs[-1], inputs[:len(inputs) - 1])\n",
    "    circuit += gates.X(inputs)\n",
    "\n",
    "    return circuit"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [],
   "source": [
    "def reflect_initial(init_op: tq.QCircuit, inputs: list[int]):\n",
    "    circuit = tq.QCircuit()\n",
    "\n",
    "    circuit += init_op.dagger()\n",
    "    circuit += reflect_zero(inputs)\n",
    "    circuit += init_op\n",
    "\n",
    "    return circuit"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [],
   "source": [
    "def grover_circuit():\n",
    "    inputs = [i for i in range(4)]\n",
    "    tmp = [i + 4 for i in range(4)]\n",
    "    pkb = 8\n",
    "\n",
    "    circuit = tq.QCircuit()\n",
    "    prepare_initial_state = gates.H(inputs)\n",
    "\n",
    "    circuit += prepare_initial_state\n",
    "    circuit += gates.X(pkb)\n",
    "    circuit += gates.H(pkb)\n",
    "\n",
    "    for _ in range(2):\n",
    "        circuit += sudoku_oracle(inputs, tmp, pkb)\n",
    "        circuit += reflect_initial(prepare_initial_state, inputs)\n",
    "\n",
    "    return circuit"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+1.0000|0111> +1.0000|0011> +1.0000|0001> +257.0000|0110> +2.0000|1011> +7.0000|1100> +3.0000|1110> +2.0000|1101> +5.0000|0100> +3.0000|0000> +1.0000|1000> +1.0000|0010> +226.0000|1001> +1.0000|1010> +1.0000|0101> \n"
     ]
    }
   ],
   "source": [
    "measurements = tq.simulate(grover_circuit(), samples=512, read_out_qubits=[0,1,2,3])\n",
    "print(measurements)"
   ],
   "metadata": {
    "collapsed": false
   }
  }
 ],
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