{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "429e356e",
   "metadata": {},
   "source": [
    "# Boson Sampling\n",
    "\n",
    "If one wants to run the Boson Sampling algorithm, it is easy to do by using [pq.SamplingSimulator](https://piquasso.readthedocs.io/en/latest/simulators/sampling.html). A simple example is given as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "22562b59",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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1)]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import piquasso as pq\n",
    "\n",
    "\n",
    "with pq.Program() as program:\n",
    "    pq.Q(all) | pq.StateVector([0, 1, 1, 0])\n",
    "\n",
    "    pq.Q(0, 1) | pq.Beamsplitter(theta=np.pi / 3, phi=np.pi / 4)\n",
    "    pq.Q(2, 3) | pq.Beamsplitter(theta=np.pi / 2, phi=np.pi / 3)\n",
    "\n",
    "    pq.Q(all) | pq.ParticleNumberMeasurement()\n",
    "\n",
    "simulator = pq.SamplingSimulator(d=4)\n",
    "\n",
    "result = simulator.execute(program, shots=1000)\n",
    "\n",
    "print(result.samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c75fbd8b",
   "metadata": {},
   "source": [
    "One may also directly providde an interferometer by [pq.Interferometer](https://piquasso.readthedocs.io/en/latest/instructions/gates.html#piquasso.instructions.gates.Interferometer)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1d5b9e46",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(2, 0, 0, 4, 0, 2, 0), (3, 1, 0, 3, 0, 1, 0), (0, 0, 0, 2, 0, 5, 1), (0, 4, 0, 0, 2, 0, 2), (0, 0, 1, 2, 3, 0, 2), (0, 2, 1, 2, 0, 2, 1), (1, 0, 0, 0, 1, 6, 0), (2, 2, 0, 3, 0, 0, 1), (3, 0, 1, 1, 2, 0, 1), (1, 2, 0, 5, 0, 0, 0), (0, 1, 0, 0, 3, 2, 2), (3, 0, 0, 0, 0, 1, 4), (1, 2, 0, 1, 0, 0, 4), (1, 0, 2, 1, 1, 0, 3), (1, 2, 0, 0, 3, 1, 1), (2, 0, 1, 1, 0, 1, 3), (0, 0, 1, 1, 3, 1, 2), (0, 1, 0, 0, 2, 4, 1), (0, 5, 2, 0, 1, 0, 0), (0, 1, 2, 0, 4, 1, 0)]\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import unitary_group\n",
    "\n",
    "d = 7\n",
    "\n",
    "interferometer_matrix = unitary_group.rvs(d)\n",
    "\n",
    "with pq.Program() as program:\n",
    "    pq.Q(all) | pq.StateVector([2, 0, 1, 1, 0, 3, 1])\n",
    "\n",
    "    pq.Q(all) | pq.Interferometer(interferometer_matrix)\n",
    "\n",
    "    pq.Q(all) | pq.ParticleNumberMeasurement()\n",
    "\n",
    "simulator = pq.SamplingSimulator(d=d)\n",
    "\n",
    "result = simulator.execute(program, shots=20)\n",
    "\n",
    "print(result.samples)"
   ]
  }
 ],
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