{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Run Qlasskit circuits in DQPU"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook we show how to use DQPU to simulate a quantum circuit created using the qiskit library.\n",
    "\n",
    "First, we import needed libraries, included the dqpu qiskit backend `DQPUBackend`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit, transpile\n",
    "from dqpu.backends.qiskit import DQPUBackend\n",
    "\n",
    "from qlasskit import qlassf, Qmatrix\n",
    "from qlasskit.algorithms import Grover"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we create a Grover search instance, searching for the solution of a 2x2 sudoku."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "@qlassf\n",
    "def sudoku_check(m: Qmatrix[bool, 2, 2]) -> bool:\n",
    "    constr = m[0][0]\n",
    "    sub0 = m[0][0] ^ m[0][1]\n",
    "    sub1 = m[1][0] ^ m[1][1]\n",
    "    sub2 = m[0][0] ^ m[1][0]\n",
    "    sub3 = m[0][1] ^ m[1][1]\n",
    "    return sub0 and sub1 and sub2 and sub3 and constr\n",
    "\n",
    "\n",
    "qc = Grover(sudoku_check)\n",
    "# qc.export().draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And now we instantiate the `DQPUBackend`; we also need to call `load_account` in order to load a NEAR wallet account created by near-cli (https://docs.near.org/tools/near-cli) using this command\n",
    "\n",
    "```bash\n",
    "near create-account ACCOUNT_NAME.testnet --useFaucet\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = DQPUBackend()\n",
    "backend.load_account(\"dqpu_alice.testnet\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we transpile the circuit and we call the `run` method: this will send the quantum circuit along with a reward to the smart contract on the NEAR blockchain. Someone will simulate it for us, and a verifier will check for the result."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "circ = transpile(qc.export(), backend)\n",
    "job = backend.run(circ, shots=1024)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calling `job.status()` we wait until the job turns into `EXECUTED` status."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "JobStatus.RUNNING\n"
     ]
    }
   ],
   "source": [
    "print(job.status())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And finally we get the result from the smart contract and we plot it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "counts = job.result().get_counts(circ)\n",
    "counts_readable = qc.decode_counts(counts, discard_lower=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.visualization import plot_histogram\n",
    "\n",
    "plot_histogram(counts_readable)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "def draw_matrix(matrix):\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.matshow(matrix, cmap=\"viridis\")\n",
    "\n",
    "    for i in range(len(matrix)):\n",
    "        for j in range(len(matrix[0])):\n",
    "            ax.text(\n",
    "                j,\n",
    "                i,\n",
    "                str(matrix[i][j]),\n",
    "                va=\"center\",\n",
    "                ha=\"center\",\n",
    "                fontsize=12,\n",
    "                color=\"black\",\n",
    "            )\n",
    "\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "m_res = list(filter(lambda x: x[1] > 500, counts_readable.items()))[0][0]\n",
    "draw_matrix(m_res)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "dqpu-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
}