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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 0
    },
    "id": "D7avgus1L7Ea",
    "outputId": "b7d44989-3080-4e44-b2bb-e37f157cf789",
    "tags": []
   },
   "outputs": [],
   "source": [
    "# !pip install pennylane --quiet # run once"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 355
    },
    "id": "lcrQHMBnMgTz",
    "outputId": "da2da62c-e4a9-4957-9a0e-dc0843c3e421"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(<Figure size 800x900 with 1 Axes>, <Axes: >)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pennylane as qml\n",
    "\n",
    "dev = qml.device(\"default.qubit\", wires=8)\n",
    "\n",
    "@qml.qnode(dev)\n",
    "def circuit(params):\n",
    "    qml.Hadamard(wires=0)\n",
    "    qml.Hadamard(wires=1)\n",
    "    qml.Hadamard(wires=2)\n",
    "    qml.Hadamard(wires=3)\n",
    "    qml.Hadamard(wires=4)\n",
    "    qml.Hadamard(wires=5)\n",
    "    qml.Hadamard(wires=6)\n",
    "    qml.Hadamard(wires=7)\n",
    "    qml.RY(params[0], wires=0)\n",
    "    qml.RY(params[0], wires=1)\n",
    "    qml.RY(params[0], wires=2)\n",
    "    qml.RY(params[0], wires=3)\n",
    "    qml.RY(params[0], wires=4)\n",
    "    qml.RY(params[0], wires=5)\n",
    "    qml.RY(params[0], wires=6)\n",
    "    qml.RY(params[0], wires=7)\n",
    "    qml.RY(params[0], wires=0)\n",
    "    qml.RY(params[0], wires=1)\n",
    "    qml.RY(params[0], wires=2)\n",
    "    qml.RY(params[0], wires=3)\n",
    "    qml.RY(params[0], wires=4)\n",
    "    qml.RY(params[0], wires=5)\n",
    "    qml.RY(params[0], wires=6)\n",
    "    qml.RY(params[0], wires=7)\n",
    "    qml.RY(params[0], wires=0)\n",
    "    qml.RY(params[0], wires=1)\n",
    "    qml.RY(params[0], wires=2)\n",
    "    qml.RY(params[0], wires=3)\n",
    "    qml.RY(params[0], wires=4)\n",
    "    qml.RY(params[0], wires=5)\n",
    "    qml.RY(params[0], wires=6)\n",
    "    qml.RY(params[0], wires=7)\n",
    "    qml.RY(params[0], wires=0)\n",
    "    qml.RY(params[0], wires=1)\n",
    "    qml.RY(params[0], wires=2)\n",
    "    qml.RY(params[0], wires=3)\n",
    "    qml.RY(params[0], wires=4)\n",
    "    qml.RY(params[0], wires=5)\n",
    "    qml.RY(params[0], wires=6)\n",
    "    qml.RY(params[0], wires=7)\n",
    "    return qml.expval(qml.PauliZ(0)), qml.expval(qml.PauliZ(1)), qml.expval(qml.PauliZ(2)), qml.expval(qml.PauliZ(3)), qml.expval(qml.PauliZ(4)), qml.expval(qml.PauliZ(5)), qml.expval(qml.PauliZ(6)), qml.expval(qml.PauliZ(7))\n",
    "params =[0]\n",
    "\n",
    "print(qml.draw_mpl(circuit, style='sketch')(params))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "ovTzqCRW3ot6",
    "outputId": "0d7b9027-a597-4183-fc05-e55d03e33cb4",
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'resources': Resources(num_wires=8, num_gates=40, gate_types=defaultdict(<class 'int'>, {'Hadamard': 8, 'RY': 32}), gate_sizes=defaultdict(<class 'int'>, {1: 40}), depth=5, shots=Shots(total_shots=None, shot_vector=())),\n",
       " 'num_observables': 8,\n",
       " 'num_diagonalizing_gates': 0,\n",
       " 'num_trainable_params': 0,\n",
       " 'num_device_wires': 8,\n",
       " 'device_name': 'default.qubit',\n",
       " 'expansion_strategy': 'gradient',\n",
       " 'gradient_options': {},\n",
       " 'interface': 'auto',\n",
       " 'diff_method': 'best',\n",
       " 'gradient_fn': 'backprop'}"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qml.specs(circuit)(params)"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.8"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}