the_qubit_questers/tensor_benchmark.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "b308c25a-3540-4e21-95a4-5da545f5a3b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Bloqade\n",
    "using Random\n",
    "using GenericTensorNetworks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "13c6e335-5969-4b08-82b8-cd73c0bb7b16",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12.320281152964093"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = 4\n",
    "Rb = sqrt(3*sqrt(10))*a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "c6c5dc97-1b24-46f6-8afe-14f9a7ba23ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "65-element Vector{Tuple{Float64, Float64}}:\n",
       " (0.0, 0.0)\n",
       " (0.0, 4.0)\n",
       " (0.0, 8.0)\n",
       " (0.0, 16.0)\n",
       " (0.0, 20.0)\n",
       " (0.0, 24.0)\n",
       " (0.0, 28.0)\n",
       " (0.0, 32.0)\n",
       " (4.0, 4.0)\n",
       " (4.0, 8.0)\n",
       " (4.0, 12.0)\n",
       " (4.0, 16.0)\n",
       " (4.0, 20.0)\n",
       " ⋮\n",
       " (28.0, 16.0)\n",
       " (28.0, 20.0)\n",
       " (28.0, 24.0)\n",
       " (28.0, 28.0)\n",
       " (28.0, 32.0)\n",
       " (32.0, 4.0)\n",
       " (32.0, 8.0)\n",
       " (32.0, 12.0)\n",
       " (32.0, 16.0)\n",
       " (32.0, 20.0)\n",
       " (32.0, 24.0)\n",
       " (32.0, 32.0)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "geos = [(0.0, 0.0),\n",
    " (0.0, 4.0),\n",
    " (0.0, 8.0),\n",
    " (0.0, 16.0),\n",
    " (0.0, 20.0),\n",
    " (0.0, 24.0),\n",
    " (0.0, 28.0),\n",
    " (0.0, 32.0),\n",
    " (4.0, 4.0),\n",
    " (4.0, 8.0),\n",
    " (4.0, 12.0),\n",
    " (4.0, 16.0),\n",
    " (4.0, 20.0),\n",
    " (4.0, 28.0),\n",
    " (4.0, 32.0),\n",
    " (8.0, 0.0),\n",
    " (8.0, 4.0),\n",
    " (8.0, 12.0),\n",
    " (8.0, 16.0),\n",
    " (8.0, 24.0),\n",
    " (8.0, 32.0),\n",
    " (12.0, 0.0),\n",
    " (12.0, 4.0),\n",
    " (12.0, 8.0),\n",
    " (12.0, 12.0),\n",
    " (12.0, 16.0),\n",
    " (12.0, 20.0),\n",
    " (12.0, 24.0),\n",
    " (12.0, 28.0),\n",
    " (12.0, 32.0),\n",
    " (16.0, 0.0),\n",
    " (16.0, 12.0),\n",
    " (16.0, 28.0),\n",
    " (16.0, 32.0),\n",
    " (20.0, 0.0),\n",
    " (20.0, 4.0),\n",
    " (20.0, 8.0),\n",
    " (20.0, 24.0),\n",
    " (20.0, 28.0),\n",
    " (20.0, 32.0),\n",
    " (24.0, 0.0),\n",
    " (24.0, 4.0),\n",
    " (24.0, 8.0),\n",
    " (24.0, 12.0),\n",
    " (24.0, 16.0),\n",
    " (24.0, 20.0),\n",
    " (24.0, 24.0),\n",
    " (24.0, 28.0),\n",
    " (24.0, 32.0),\n",
    " (28.0, 0.0),\n",
    " (28.0, 4.0),\n",
    " (28.0, 8.0),\n",
    " (28.0, 12.0),\n",
    " (28.0, 16.0),\n",
    " (28.0, 20.0),\n",
    " (28.0, 24.0),\n",
    " (28.0, 28.0),\n",
    " (28.0, 32.0),\n",
    " (32.0, 4.0),\n",
    " (32.0, 8.0),\n",
    " (32.0, 12.0),\n",
    " (32.0, 16.0),\n",
    " (32.0, 20.0),\n",
    " (32.0, 24.0),\n",
    " (32.0, 32.0)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "c6e13cf0-8c5c-4917-931e-5775ed43e61d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "         ⠀⠀⠀⠀⠀⠀⠀⠀\u001b[97;1mApproximate Atom Positions\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀ \n",
       "         \u001b[38;5;8m┌────────────────────────────────────────┐\u001b[0m \n",
       "      \u001b[38;5;8m40\u001b[0m \u001b[38;5;8m│\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "   μm   \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "        \u001b[38;5;8m\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "       \u001b[38;5;8m0\u001b[0m \u001b[38;5;8m│\u001b[0m\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀\u001b[38;5;2m⚬\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m│\u001b[0m \u001b[38;5;8m\u001b[0m\n",
       "         \u001b[38;5;8m└────────────────────────────────────────┘\u001b[0m \n",
       "         ⠀\u001b[38;5;8m0\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m\u001b[0m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀\u001b[38;5;8m40\u001b[0m⠀ \n",
       "         ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀μm⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ "
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "atoms = AtomList(geos)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "6844e69d-36e2-4dcc-be72-1a1923272b45",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
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      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph = BloqadeMIS.unit_disk_graph(AtomList(geos), Rb)\n",
    "problem = IndependentSet(graph; optimizer=TreeSA())\n",
    "all_max_configs = GenericTensorNetworks.solve(problem, ConfigsMax(; bounded=false))[]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "3e1db8a1-e0da-49f0-aec5-1a3fea740b51",
   "metadata": {},
   "outputs": [
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      ],
      "text/plain": []
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Bloqade.plot(atoms, blockade_radius = Rb; colors = [iszero(b) ? \"white\" : \"red\" for b ∈ all_max_configs.c.data[1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "45f4a039-a575-4481-9a43-e1f8b4f08883",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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