{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grover search\n",
    "\n",
    "Qlasskit offer a class to easily perform a `Grover` search over a qlasskit oracle. \n",
    "First, we define a function named `and_all` that returns `True` iff all the element of an input list `a_list` are `True`. We want to use a Grover search to find the input value that led to a `True` result of the function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qlasskit import qlassf, Qlist\n",
    "\n",
    "\n",
    "@qlassf\n",
    "def and_all(a_list: Qlist[bool, 4]) -> bool:\n",
    "    r = True\n",
    "    for i in a_list:\n",
    "        r = r and i\n",
    "    return r"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The qlasskit compiler will produce an optimized quantum circuit performing the given function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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F5e3CgzTGTpzohYmuzN3HKGADzsvLw2w2U1JSwrx580hNTQWgurqaJUuWoGkacPk3MDo7O7nrrru49tpreemll9yexZ2nxpE40vApNy7Y5vJ2te/+gpT4sV6YyHsC9ipEcXEx0dHRnDp1ioyMDDIzM0lJSWHGjBkkJiYyd+5cYOD576W6u7uZP38+J06cYNeuXUyYMMGX449I6qSxFMyKc2mbO2fFKRcvBHDAsbGxVFVVUVBQgMFgoKGhgaioKDZt2kRlZSVHjnx2ychZwBcvXuSee+6hpqaGt956i/T0dF+PP2KvPDOL1GEGmRo/lpefufqvrjgT0G8lD6Wzs5OIiAh0Oh0dHR2Ehob2L7Pb7dx///1s376dN998s/9IraLTZ7u5r3gP71W3DLnOnOkTqFify5eiQ3w4mecE7Dnw5Rw8eBCHw0FqauqAeAEeffRRXn/9dX74wx8SGhrKBx980L8sKSnJ6WW2q9WXokPY8+LXqP74DM9tNfNetZXG5g7sDgg1BPPeSwVMn6zO1+OUYxTasmWLA3AsXLhw0LL4+HgH4PTPyy+/7PthPWziV3/nIPMFx8Sv/s7fo3jEqDwCHzhwAHB+/tvQ0ODjacRIBOyLuMu5XMBCLaPyCPz55ySE+kblEVgEDglYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChNAlYKE0CFkqTgIXSJGChtFERsKZpFBcXk5ycjMFgIC4ujhUrVtDV1cXy5cvR6XSUlZX5e0yvaj/Xy7sfNNHdawPAbnf4eSLP0Pt7AG+rq6sjPz8fq9VKWFgY6enpNDc3U1paSn19Pa2trQBkZ2f7d1AvOXCkldLfHeR3bx7nfI+t/3ar1s2DT1fx2KIMMlOj/DjhyOgcDkdg/Cg6oWkaU6dOxWKxsHLlStauXYvRaARg/fr1rF69Gr1eT19fH+3t7URERPh5Ys/6/Vv1LPvR+1y4aB9ynWuvCeLVn8zi/vwkH07mOQEd8KJFiygvL6eoqIiNGzcOWp6dnc3+/ftJSEjg+PHjfpjQeyrfP8mCx94d1qlCUJCO7aV5FMy6wQeTeVbAngObzWYqKiqIiYlh3bp1TteZNm0aAFlZWf23VVVVkZeXx4QJExgzZgyxsbHcd999mM1mn8ztCX19dh75yV+HfZ5rtzv4zk//Sl/f0Efqq1XABlxeXo7dbqewsJDw8HCn64SEhAADA25rayMzM5PS0lJ27dpFSUkJBw8eZObMmVgsFp/MPlKV75/ilLXLpW1OtnTxZpUaX9+lAvZF3O7duwHIzc0dcp3Pg7w04AULFrBgwYIB602fPp0bb7yRN954gxUrVnhhWs96ZftR97b701Hmz1HrNCJgA25sbAQgPj7e6XKbzcbevXuBgQE7Ex0dDYBe797DlZOTg9VqdWtbd5yOeAj0E13ebsfbfyE2dpkXJroyk8lETU2Ny9sFbMBdXZ89hXZ3dztdXlFRgaZpGI1GEhISBi3v6+vDbrfT2NjI448/jslkYuHChW7NYrVaaWpqcmtbtxguuPWdvXjhgm/n9ICADdhkMtHW1kZtbS0zZ84csKylpYVVq1YBMGXKFHQ63aDtZ8+e3X+ETk5OZvfu3YwfP97tWXzprL6bHje2M+i7iZ7o+pHbE9x9jAI24Ly8PMxmMyUlJcybN4/U1FQAqqurWbJkCZqmAUO/gfHiiy/S3t7OiRMnePbZZ7n99tvZu3cvN9zg+jmiO0+NI7HzzyeZ/2/vuLzdts3fpWDWL7wwkfcE7HVgi8VCdnY2Z8+eRa/Xc9NNN9HT08OxY8fIz8/Hbrfz9ttvs3nzZh588MHL3ld7ezuTJk1i8eLFSrzl3NdnJ6ngdRqbO4e9zaTrwzlWeS/BwWpdmFJrWhfExsZSVVVFQUEBBoOBhoYGoqKi2LRpE5WVlRw5cgS48gs4gHHjxpGcnMyxY8e8PbZHBAcHsWnNVwgOHnxq5Hx9Hc+v+Ypy8UIAH4Evp7Ozk4iICHQ6HR0dHYSGhl52/dOnT5OUlMTSpUv59a9/7aMpR27brhMsfuI9ei8M/QbFmGuD+O3P5nDP7YNfyKogYM+BL+fgwYM4HA5SU1MHxbt48WKSk5PJzs5m3LhxHD16lF/+8pfo9Xq+973v+Wli99xzewIZyZGUlR/itR1H6Tz/rw/z6HTwyMI0ir6ZTlriOP8NOVKOUWjLli0OwLFw4cJByzZu3OiYPn26Y9y4cQ6DweBISUlxPPTQQ46GhgY/TOo55zp7He9VNzuibvuNg8wXHBNy/9PfI3nEqDwCHzhwAHB+/ltUVERRUZGvR/I6Y9i1zM6ZQMiYYOCzD/AEAvXO2j3gcgELtYzKI/Dnn5MQ6huVR2AROCRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0iRgoTQJWChNAhZKk4CF0kblv1I0WjgcDo5bOth3SGPfIY2WM920ftoLwKedF9j69nGmpceQGGtEp1Pz340blf9WcqA7297Dy388yvOvm6k/1XHF9ZPijPyve9P41t0pRI8z+GBCz5GAA0jvhT5+srmODa8eoKe3z+XtDWOCWbl0MmsensqYa4O9MKHnScABovaQxrIfvc/Hx9pGfF+TkyN55SezmJYe44HJvEsCDgB/2tPIfav20HvB9aPuUMZcG0zFs7nclRvvsfv0BglYcTveO8nXv/cufX2e/zYGB+v446/yuHP2DR6/b0+RgBV28FgbOd/8k1vnu8NlGBPMvt/fRXpSpNf2MRJyHVhRNpudB9a873K81eULOPXO/VSXLxjW+j29fTyw5n1sNrs7Y3qdBKyon792gJqDmsvbmWJCib0uDFNM6LC3qf5Y4+evHXB5X74Q8AFrmkZxcTHJyckYDAbi4uJYsWIFXV1dLF++HJ1OR1lZmb/HdEl3j42Sl/7h032uf/kA3T02n+5zOAL6nbi6ujry8/OxWq2EhYWRnp5Oc3MzpaWl1NfX09raCkB2drZ/B3VRxdvHaTt3waf7bP20l61vn2DZXSk+3e+VBOwRWNM05s+fj9VqZeXKlbS0tFBbW4vVaqWkpITKykqqq6vR6XRMmTLF3+O65Pmth/2y3+e2mv2y38sJ2IAfe+wxLBYLRUVFbNiwAaPR2L+suLiYrKwsbDYbkyZNIiIiwo+Tuqbz/EU+/PiMX/ZdfVCj6/xFv+x7KAEZsNlspqKigpiYGNatW+d0nWnTpgGQlZU15P3k5+ej0+l4+umnvTGmW+oOn8VfFz7tdgd1/2z1z86HEJABl5eXY7fbKSwsJDw83Ok6ISEhwNABb926lbq6Om+N6LaPDp/16/73HXL9yoc3BeSLuN27dwOQm5s75DoWiwVwHvC5c+f47ne/y4YNG1i8ePGI58nJycFqtY74fgDOheRCyByny6rLF1zx8pgpJqT/v6feuX/I9azaeaZ/c/ug23/09P9m/eo9wx94mEwmEzU1NS5vF5ABNzY2AhAf7/x9fJvNxt69ewHnAT/55JOkpqZSWFjokYCtVitNTU0jvh8ArjsPIc4XfX6Ndzj0wUHDXvdSHR3n6fjEQ1+LBwRkwF1dXQB0d3c7XV5RUYGmaRiNRhISEgYsq6mpYcuWLezbt89j85hMJo/d17mQEIb6hK9VO3/lWWJC0AcHYeuzY9WcPz6Xuy+jMYQI/cThjOoSdx+jgAzYZDLR1tZGbW0tM2fOHLCspaWFVatWATBlypQBv4nQ19fHww8/TFFRERkZGR6bx52nxqG89F9HWL62yukyZ0/5X3TqnfuJvS4Mq9ZN3Lzfu7z///PsU3zr7t+6vJ23BOSLuLy8PABKSko4cuRI/+3V1dXk5uaiaZ+9EPniGxhlZWV88sknV9VVhy+alh7t5/1fXZ8RDsiAi4uLiY6O5tSpU2RkZJCZmUlKSgozZswgMTGRuXPnAgPPfzVNY82aNTz11FPYbDba29tpb28HoKenh/b2dux2/3+gJT0x0m+/LWEYE0x64ji/7HsoARlwbGwsVVVVFBQUYDAYaGhoICoqik2bNlFZWdl/VL40YIvFQkdHBw8//DCRkZH9f+CzI3lkZCQnT570y9dzqWuuCSL/tli/7PuOr8Si119dyQTkOTBAWloaO3fuHHR7Z2cnDQ0NBAUFMXny5P7bk5OT2bNn8OWh3Nxcli1bxgMPPODRF2Mj8Z370vjj7kaf7/fR+9N8vs8rCdiAh3Lw4EEcDgepqamEhv7rmml4eDhz5sxxus2kSZOGXOYPX73lelLiIzjaeM5n+0yNH8vcGdf7bH/DdXU9H/jAgQOffa71cm8hX+2CgnT8fOUtPt3nz38wg6Cgq+//HTHqjsCuBny1/sbV/Dk3sOTOZH6z85jX97V0fvJV+3txcgRW2K9W38qk651/1mMoVu08lk+6hvWmB8Ck68P51epb3RnPJ+SXOhV37OQ5Zn2rkpYzwwvSFRPGh1L1SgFJcVfvx01H3RE40CTfEMFfXi0gKc545ZVdkBRn/P/3e/XGCxJwQEiMjeCjrXfzyMKbPHJ/jyy8iY+23k1i7NUdL8gpRMDZ/fdmflS2j7/tP+3ytrdOGc9P/y2HubdcfZfLhiIBB6jaQxrPbTXzzgfNNDZ3Drle/PXhzLv1eh5ZmMbNV9nnHIZDAh4FtLYe9h3SsGrd9F7sY8w1wZhiQpiWHkNMpFr/O9UvkoCF0uRFnFCaBCyUJgELpUnAQmkSsFCaBCyUJgELpUnAQmkSsFCaBCyUJgELpUnAQmkSsFCaBCyUJgELpUnAQmkSsFCaBCyUJgELpUnAQmkSsFCaBCyUJgELpUnAQmkSsFCaBCyUJgELpUnAQmkSsFCaBCyUJgELpf0/WcL0YrrUhKwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 203.885x451.5 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "and_all.export(\"qiskit\").draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now can use our quantum function as an oracle for a Grover search. For instance, we want to find the input value that yeld to a `True` value of the function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qlasskit.algorithms import Grover\n",
    "\n",
    "q_algo = Grover(and_all, True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Qlasskit prepares the quantum circuit for the Grover search:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2210.55x1120.39 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = q_algo.export(\"qiskit\")\n",
    "qc.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we use our prefered framework and simulator for sampling the result; this is an example using `qiskit` with `aer_simulator`.\n",
    "\n",
    "The `Grover` class, along with all circuit wrappers in qlasskit, provides utilities to encode inputs and decode outputs from a quantum circuit using the high level type definitions. In the output histogram, it's now evident that the input leading to a `True` result in the `and_all` function is a list where all elements are set to `True`, aligning with our expectations.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit, transpile\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit_aer import AerSimulator\n",
    "\n",
    "qc.measure_all()\n",
    "simulator = AerSimulator()\n",
    "circ = transpile(qc, simulator)\n",
    "result = simulator.run(circ).result()\n",
    "counts = result.get_counts(circ)\n",
    "\n",
    "counts_readable = q_algo.decode_counts(counts)\n",
    "plot_histogram(counts_readable)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "qlasskit_310-env",
   "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": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}