DD_GHZ_tutorial.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e40b0cb0-66bd-4ea8-82fa-8646069b24e3",
   "metadata": {},
   "source": [
    "## Setup an IBM account"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cca37e55-25f3-44f1-baab-1015c9c7db2d",
   "metadata": {},
   "outputs": [],
   "source": [
    "### Create an account on https://quantum-computing.ibm.com/login\n",
    "### Copy the API token from the homepage once logged in.\n",
    "token = '4c009ac74d75aae40b28b1c22af444fc6da3730bb13b4735263cb69cff1535ec999e9a604e60eaa0b0c6953428e83d2119040d18ff3a81a345e0f44c6a17f460'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a77f605-2e67-490c-9bdc-0dccf4af87f5",
   "metadata": {},
   "source": [
    "## Install the required packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f9a53eac-05ce-4388-ab1d-31a43e8b9ca9",
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install -U -r requirements.txt\n",
    "from IPython.display import clear_output\n",
    "clear_output()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "fddcabe6-b79e-469b-a5b6-c32dbbe68a61",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Qiskit version: 0.45.0\n",
      "NumPy version: 1.23.5\n",
      "Matplotlib version: 3.8.1\n",
      "provider version: 0.7.2\n"
     ]
    }
   ],
   "source": [
    "import qiskit\n",
    "import numpy\n",
    "import matplotlib\n",
    "import qiskit_ibm_provider\n",
    "print(\"Qiskit version:\", qiskit.__version__)\n",
    "print(\"NumPy version:\", numpy.__version__)\n",
    "print(\"Matplotlib version:\", matplotlib.__version__)\n",
    "print(\"provider version:\", qiskit_ibm_provider.__version__)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f53b56c9-333b-4994-b351-5b17d4006b1f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import Aer, QuantumCircuit, QuantumRegister, ClassicalRegister, transpile\n",
    "from qiskit.visualization import plot_gate_map, timeline_drawer\n",
    "import numpy as np\n",
    "from IPython.display import display\n",
    "import matplotlib.pyplot as plt\n",
    "from qiskit_ibm_provider import IBMProvider\n",
    "IBMProvider.save_account(token=token, overwrite=True)\n",
    "# IBMProvider.saved_accounts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "6553000e-6cb5-40c5-85d9-8e3a1ab0f5d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<IBMBackend('ibmq_qasm_simulator')>,\n",
       " <IBMBackend('simulator_stabilizer')>,\n",
       " <IBMBackend('simulator_mps')>,\n",
       " <IBMBackend('simulator_extended_stabilizer')>,\n",
       " <IBMBackend('simulator_statevector')>,\n",
       " <IBMBackend('ibm_lagos')>,\n",
       " <IBMBackend('ibm_perth')>,\n",
       " <IBMBackend('ibm_nairobi')>,\n",
       " <IBMBackend('ibm_brisbane')>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "provider = IBMProvider()\n",
    "backends = provider.backends()\n",
    "backends"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7e8348f9-d46d-4284-9d84-3e255858bb48",
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = provider.get_backend('ibm_lagos')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "947d79b3-a2e8-49ed-a7ca-854d5e51371e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_gate_map(backend, figsize=(3,3),qubit_size = 30, font_size = 15, plot_directed=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "cf958b68-4bee-4aa8-9b50-1a833ae7d7ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "properties = backend.properties()\n",
    "\n",
    "# Extract T1 and T2 times\n",
    "# Extract data from the properties\n",
    "t1s = [qubit_data[0].value for qubit_data in properties.qubits]\n",
    "t2s = [qubit_data[1].value for qubit_data in properties.qubits]\n",
    "readout_errors = [qubit_data[4].value for qubit_data in properties.qubits]\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "qubit_indices = [i for i, _ in enumerate(t1s)]\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.bar(qubit_indices, t1s, width=-0.4, align='edge', label='T1')\n",
    "plt.bar(qubit_indices, t2s, width=0.4, align='edge', label='T2')\n",
    "plt.xlabel('Qubit#')\n",
    "plt.ylabel('Time (us)')  # Changed to microseconds based on your sample\n",
    "plt.title('T1 and T2 values for each Qubit')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c51385c6-eb94-41d6-8ce6-f804ad05b854",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5dW6Tk5NTK3hFR0fXW385a9eulZ+fn7p166bp06fr/PnzNvvp3r27/P39bfZTVlamgwcP1jtnRUWFysrKbBYAAAAAaKgmztrx6dOnVVVVZROCJMnf31+HDh2qcxuLxVJnvcViadS+H3roIXXs2FHt27fX/v379f/+3//T4cOHtXHjxsvu59K6+qSkpGju3LmN6gUAAAAALnFaQHOmsWPHWv/cvXt3tWvXTgMHDtS//vUv/epXv7J73unTpyspKcn6uaysTAEBAVfUKwAAAADX4bRbHP38/OTu7q7i4mKb8eLiYpnN5jq3MZvNjapvqPDwcEnS0aNHL7ufS+vq4+npKW9vb5sFAAAAABrKaQHNw8NDoaGhys7Oto5VV1crOztbERERdW4TERFhUy9JWVlZ9dY31KVH8bdr1866n08++cTmaZJZWVny9vZWcHDwFe0LAAAAAOrj1Fsck5KSFB8fr7CwMPXt21epqakqLy9XQkKCJCkuLk433HCDUlJSJEkTJ07UHXfcocWLF2vo0KFav369cnNztXLlSuucJSUlKigoUGFhoSTp8OHDkmR9WuO//vUvrVu3Tvfee698fX21f/9+TZo0Sbfffrt69OghSRo0aJCCg4P1yCOPaOHChbJYLJo5c6bGjRsnT0/P/+RXBAAAAMCFODWgxcbG6tSpU0pOTpbFYlFISIgyMzOtD+QoKCiQm9uPF/kiIyO1bt06zZw5UzNmzFBQUJAyMjLUrVs3a82mTZusAU+SRowYIUmaPXu25syZIw8PD7377rvWMBgQEKD7779fM2fOtG7j7u6ut99+W0888YQiIiLUokULxcfHa968eVf7KwEAAADgwkw1NTU1zm7iWlVWViYfHx+VlpbyezQAuEoCp73j7BauCccXDHX4nJwbx7ka5wfGxd8dxzHS352GZgOnvqgaAAAAAPAjAhoAAAAAGAQBDQAAAAAMgoAGAAAAAAbh1Kc4AvgBPwZ2HCP9GBgAAKCxuIIGAAAAAAbBFTQAAAAXxN0bjsPdG3AkrqABAAAAgEEQ0AAAAADAIAhoAAAAAGAQBDQAAAAAMAgCGgAAAAAYBAENAAAAAAyCgAYAAAAABkFAAwAAAACDIKABAAAAgEEQ0AAAAADAIAhoAAAAAGAQBDQAAAAAMAgCGgAAAAAYBAENAAAAAAyCgAYAAAAABkFAAwAAAACDIKABAAAAgEEQ0AAAAADAIJo0doMzZ87ozTff1Icffqgvv/xS58+fV5s2bdSrVy9FR0crMjLyavQJAAAAANe8Bl9BKyws1O9//3u1a9dOzzzzjL777juFhIRo4MCB6tChg95//33dc889Cg4OVnp6+tXsGQAAAACuSQ2+gtarVy/Fx8crLy9PwcHBddZ89913ysjIUGpqqk6cOKHJkyc7rFEAAAAAuNY1OKB9+umn8vX1vWxNs2bNNHLkSI0cOVLffPPNFTcHAAAAAK6kwbc4/lI4u9J6AAAAAHB1V/QUx7Nnz2rKlCnq06ePevfurfHjx+v06dOO6g0AAAAAXMoVBbQxY8bo9OnTmjt3rmbPnq0vvvhCo0aNclRvAAAAAOBSGvWY/T/96U966qmnZDKZJEl79uzR559/Lnd3d0nSLbfcottuu83xXQIAAACAC2hUQPvXv/6l8PBw/eUvf1GvXr10zz33aOjQoYqJidGFCxf0t7/9TdHR0VerVwAAAAC4pjUqoC1fvlwff/yxHn30Ud11111KSUnRq6++qqysLFVVVWn48OFKTEy8Wr0CAAAAwDWtUQFNkm677Tbt2bNHzz33nCIiIrRo0SL9/e9/vxq9AQAAAIBLseshIU2aNNHTTz+tt956S6mpqXrggQdksVgc3RsAAAAAuJRGBbT/+7//U58+fdSqVSv169dP1dXVys7O1tChQxUZGakXXnjhavUJAAAAANe8RgW0Rx99VAMGDNCePXs0fPhwPf7445KkhIQE7dq1Szt27FBERMRVaRQAAAAArnWN+g3a559/rvT0dHXu3FlBQUFKTU21rmvTpo1effVVbd261dE9AgAAAIBLaFRAu/POOzV27FiNGDFC7733nvr161erZtCgQQ5rDgAAAABcSaNucXzllVfUu3dv/eMf/9BNN93Eb84AAAAAwIEadQXtuuuu0x//+Mer1QsAAAAAuLQGX0ErKCho1MRff/11o5sBAAAAAFfW4IDWp08fPfbYY9qzZ0+9NaWlpXrxxRfVrVs3Xl4NAAAAAI3U4FscP/30U/3v//6v7rnnHnl5eSk0NFTt27eXl5eXvv32W3366ac6ePCgevfurYULF+ree++9mn0DAAAAwDWnwVfQfH19tWTJEhUVFWn58uUKCgrS6dOndeTIEUnSqFGjlJeXp5ycnEaFsxUrVigwMFBeXl4KDw/X7t27L1u/YcMGdenSRV5eXurevbs2b95ss37jxo0aNGiQfH19ZTKZlJ+fb7O+pKRE48eP1y233KJmzZrpxhtv1IQJE1RaWmpTZzKZai3r169v8HEBAAAAQGM16iEhktSsWTM98MADeuCBB6545+np6UpKSlJaWprCw8OVmpqq6OhoHT58WG3btq1Vv3PnTo0cOVIpKSn6n//5H61bt04xMTHau3evunXrJkkqLy9X//799eCDD2rMmDG15igsLFRhYaH++Mc/Kjg4WF9++aUef/xxFRYW6o033rCpXbNmjQYPHmz93Lp16ys+ZgAAAACoT6MDmiMtWbJEY8aMUUJCgiQpLS1N77zzjlavXq1p06bVql+6dKkGDx6sKVOmSJLmz5+vrKwsLV++XGlpaZKkRx55RJJ0/PjxOvf589/H/epXv9L//u//6uGHH9bFixfVpMmPX0nr1q1lNpsdcqwAAAAA8Esa9R40R6qsrFReXp6ioqJ+bMbNTVFRUcrJyalzm5ycHJt6SYqOjq63vqFKS0vl7e1tE84kady4cfLz81Pfvn21evVq1dTUXHaeiooKlZWV2SwAAAAA0FBOu4J2+vRpVVVVyd/f32bc399fhw4dqnMbi8VSZ73FYrmiPubPn6+xY8fajM+bN0933323mjdvrq1bt+rJJ5/UuXPnNGHChHrnSklJ0dy5c+3uBQAAAIBrc+otjs5WVlamoUOHKjg4WHPmzLFZN2vWLOufe/XqpfLyci1atOiyAW369OlKSkqymT8gIMDhfQMAAAC4NjX6FscLFy7o0Ucf1bFjx65ox35+fnJ3d1dxcbHNeHFxcb2/+zKbzY2qv5yzZ89q8ODBatWqld588001bdr0svXh4eH66quvVFFRUW+Np6envL29bRYAAAAAaKhGB7SmTZs65CXUHh4eCg0NVXZ2tnWsurpa2dnZioiIqHObiIgIm3pJysrKqre+PmVlZRo0aJA8PDy0adMmeXl5/eI2+fn5uu666+Tp6dmofQEAAABAQ9l1i2NMTIwyMjI0adKkK9p5UlKS4uPjFRYWpr59+yo1NVXl5eXWpzrGxcXphhtuUEpKiiRp4sSJuuOOO7R48WINHTpU69evV25urlauXGmds6SkRAUFBSosLJQkHT58WNIPV9/MZrM1nJ0/f16vvvqqzcM82rRpI3d3d7311lsqLi7WbbfdJi8vL2VlZenZZ5/V5MmTr+h4AQAAAOBy7ApoQUFBmjdvnnbs2KHQ0FC1aNHCZv3lfqf1U7GxsTp16pSSk5NlsVgUEhKizMxM64NACgoK5Ob240W+yMhIrVu3TjNnztSMGTMUFBSkjIwM6zvQJGnTpk3WgCdJI0aMkCTNnj1bc+bM0d69e7Vr1y5JUufOnW36OXbsmAIDA9W0aVOtWLFCkyZNUk1NjTp37mx9JQAAAAAAXC2mml96dnwdOnXqVP+EJpO++OKLK2rqWlFWViYfHx/rY/yB+gROe8fZLVwzji8Y6uwW8B/G3x/HuBp/dzg3jsP5MTZHnx/OjeMY6d8FDc0Gdl1Bu9IHhAAAAAAAarviF1XX1NT84gucAQAAAAC/zO6A9sorr6h79+5q1qyZmjVrph49euhvf/ubI3sDAAAAAJdi1y2OS5Ys0axZs5SYmKh+/fpJkj766CM9/vjjOn369BU/3REAAAAAXJFdAe3555/XCy+8oLi4OOvYsGHDdOutt2rOnDkENAAAAACwg123OBYVFSkyMrLWeGRkpIqKiq64KQAAAABwRXYFtM6dO+v111+vNZ6enq6goKArbgoAAAAAXJFdtzjOnTtXsbGx2r59u/U3aDt27FB2dnadwQ0AAAAA8MvsuoJ2//33a/fu3fLz81NGRoYyMjLk5+en3bt36ze/+Y2jewQAAAAAl9DoK2gXLlzQY489plmzZunVV1+9Gj0BAAAAgEtq9BW0pk2b6u9///vV6AUAAAAAXJpdtzjGxMQoIyPDwa0AAAAAgGuz6yEhQUFBmjdvnnbs2KHQ0FC1aNHCZv2ECRMc0hwAAAAAuBK7AtqqVavUunVr5eXlKS8vz2adyWQioAEAAACAHRod0GpqarRt2za1bdtWzZo1uxo9AQAAAIBLavRv0GpqahQUFKSvvvrqavQDAAAAAC6r0VfQ3NzcFBQUpG+++UZBQUFXoydcJYHT3nF2C9eM4wuGOrsFAAAAXIPseorjggULNGXKFB04cMDR/QAAAACAy7LrISFxcXE6f/68evbsKQ8Pj1q/RSspKXFIcwAAAADgSuwKaKmpqQ5uAwAAAABgV0CLj493dB8AAAAA4PIa9Ru0119/XZWVldbPX331laqrq62fz58/r4ULFzquOwAAAABwIY0KaCNHjtSZM2esn4ODg3X8+HHr57Nnz2r69OmO6g0AAAAAXEqjAlpNTc1lPwMAAAAA7GfXY/YBAAAAAI5HQAMAAAAAg2j0Uxy3bNkiHx8fSVJ1dbWys7OtL6z+6e/TAAAAAACN0+iA9vNH7D/22GM2n00m05V1BAAAAAAuqlEB7aeP1AcAAAAAOBa/QQMAAAAAgyCgAQAAAIBBENAAAAAAwCAIaAAAAABgEAQ0AAAAADAIuwLaTTfdpG+++abW+JkzZ3TTTTddcVMAAAAA4IrsCmjHjx9XVVVVrfGKigp9/fXXV9wUAAAAALiiRr0HbdOmTdY/b9myRT4+PtbPVVVVys7OVmBgoMOaAwAAAABX0qiAFhMTI0kymUyKj4+3Wde0aVMFBgZq8eLFDmsOAAAAAFxJowJadXW1JKlTp07as2eP/Pz8rkpTAAAAAOCKGhXQLjl27Jij+wAAAAAAl2dXQJOk7OxsZWdn6+TJk9Yra5esXr36ihsDAAAAAFdjV0CbO3eu5s2bp7CwMLVr104mk8nRfQEAAACAy7EroKWlpemll17SI4884uh+AAAAAMBl2fUetMrKSkVGRjq6FwAAAABwaXYFtN///vdat26do3sBAAAAAJdm1y2O33//vVauXKl3331XPXr0UNOmTW3WL1myxCHNAQAAAIArsesK2v79+xUSEiI3NzcdOHBA+/btsy75+fmNmmvFihUKDAyUl5eXwsPDtXv37svWb9iwQV26dJGXl5e6d++uzZs326zfuHGjBg0aJF9fX5lMpjr7+f777zVu3Dj5+vqqZcuWuv/++1VcXGxTU1BQoKFDh6p58+Zq27atpkyZoosXLzbq2AAAAACgMey6gvb+++87ZOfp6elKSkpSWlqawsPDlZqaqujoaB0+fFht27atVb9z506NHDlSKSkp+p//+R+tW7dOMTEx2rt3r7p16yZJKi8vV//+/fXggw9qzJgxde530qRJeuedd7Rhwwb5+PgoMTFRv/3tb7Vjxw5JUlVVlYYOHSqz2aydO3eqqKhIcXFxatq0qZ599lmHHDsAAAAA/JxdV9AuOXr0qLZs2aLvvvtOklRTU9Oo7ZcsWaIxY8YoISFBwcHBSktLU/Pmzet9j9rSpUs1ePBgTZkyRV27dtX8+fPVu3dvLV++3FrzyCOPKDk5WVFRUXXOUVpaqlWrVmnJkiW6++67FRoaqjVr1mjnzp36+OOPJUlbt27Vp59+qldffVUhISEaMmSI5s+frxUrVqiysrJRxwgAAAAADWVXQPvmm280cOBA3Xzzzbr33ntVVFQkSRo9erT+8Ic/NGiOyspK5eXl2QQpNzc3RUVFKScnp85tcnJyagWv6OjoeuvrkpeXpwsXLtjM06VLF914443WeXJyctS9e3f5+/vb7KesrEwHDx6sd+6KigqVlZXZLAAAAADQUHYFtEmTJqlp06YqKChQ8+bNreOxsbHKzMxs0BynT59WVVWVTQiSJH9/f1ksljq3sVgsjaqvbw4PDw+1bt263nnq28+ldfVJSUmRj4+PdQkICGhwXwAAAABgV0DbunWrnnvuOXXo0MFmPCgoSF9++aVDGvtvNH36dJWWllqXEydOOLslAAAAAP9F7HpISHl5uc2Vs0tKSkrk6enZoDn8/Pzk7u5e6+mJxcXFMpvNdW5jNpsbVV/fHJWVlTpz5ozNVbSfzmM2m2s9TfLSfi+3L09PzwYfPwAAAAD8nF1X0AYMGKBXXnnF+tlkMqm6uloLFy7UXXfd1aA5PDw8FBoaquzsbOtYdXW1srOzFRERUec2ERERNvWSlJWVVW99XUJDQ9W0aVObeQ4fPqyCggLrPBEREfrkk0908uRJm/14e3srODi4wfsCAAAAgMaw6wrawoULNXDgQOXm5qqyslJTp07VwYMHVVJSYn1UfUMkJSUpPj5eYWFh6tu3r1JTU1VeXq6EhARJUlxcnG644QalpKRIkiZOnKg77rhDixcv1tChQ7V+/Xrl5uZq5cqV1jlLSkpUUFCgwsJCST+EL+mHK19ms1k+Pj4aPXq0kpKSdP3118vb21vjx49XRESEbrvtNknSoEGDFBwcrEceeUQLFy6UxWLRzJkzNW7cOK6QAQAAALhq7Apo3bp10+eff67ly5erVatWOnfunH77299q3LhxateuXYPniY2N1alTp5ScnCyLxaKQkBBlZmZaH8hRUFAgN7cfL/JFRkZq3bp1mjlzpmbMmKGgoCBlZGRY34EmSZs2bbIGPEkaMWKEJGn27NmaM2eOJOlPf/qT3NzcdP/996uiokLR0dH685//bN3G3d1db7/9tp544glFRESoRYsWio+P17x58+z5ugAAAACgQUw1jX15GRqsrKxMPj4+Ki0tlbe3t7PbUeC0d5zdwjXj+IKhDp2Pc+M4jj43MD7+/jjG1fi7w7lxHM6PsfHvAuMy0r8LGpoN7LqCJknff/+99u/fr5MnT6q6utpm3bBhw+ydFgAAAABcll0BLTMzU3FxcTp9+nStdSaTSVVVVVfcGAAAAAC4Grue4jh+/HgNHz5cRUVFqq6utlkIZwAAAABgH7sCWnFxsZKSkqwP8wAAAAAAXDm7AtoDDzygbdu2ObgVAAAAAHBtdv0Gbfny5Ro+fLg+/PBDde/eXU2bNrVZP2HCBIc0BwAAAACuxK6A9tprr2nr1q3y8vLStm3bZDKZrOtMJhMBDQAAAADsYFdAe/rppzV37lxNmzbN5kXSAAAAAAD72ZWuKisrFRsbSzgDAAAAAAeyK2HFx8crPT3d0b0AAAAAgEuz6xbHqqoqLVy4UFu2bFGPHj1qPSRkyZIlDmkOAAAAAFyJXQHtk08+Ua9evSRJBw4csFn30weGAAAAAAAazq6A9v777zu6DwAAAABweVf0lI+jR49qy5Yt+u677yRJNTU1DmkKAAAAAFyRXQHtm2++0cCBA3XzzTfr3nvvVVFRkSRp9OjR+sMf/uDQBgEAAADAVdgV0CZNmqSmTZuqoKBAzZs3t47HxsYqMzPTYc0BAAAAgCux6zdoW7du1ZYtW9ShQweb8aCgIH355ZcOaQwAAAAAXI1dV9DKy8ttrpxdUlJSIk9PzytuCgAAAABckV0BbcCAAXrllVesn00mk6qrq7Vw4ULdddddDmsOAAAAAFyJXbc4Lly4UAMHDlRubq4qKys1depUHTx4UCUlJdqxY4ejewQAAAAAl2DXFbRu3brp888/V//+/XXfffepvLxcv/3tb7Vv3z796le/cnSPAAAAAOASGn0F7cKFCxo8eLDS0tL09NNPX42eAAAAAMAlNfoKWtOmTbV///6r0QsAAAAAuDS7bnF8+OGHtWrVKkf3AgAAAAAuza6HhFy8eFGrV6/Wu+++q9DQULVo0cJm/ZIlSxzSHAAAAAC4ErsC2oEDB9S7d29J0ueff26zzmQyXXlXAAAAAOCC7Apo77//vqP7AAAAAACXZ9dv0AAAAAAAjmfXFbS77rrrsrcyvvfee3Y3BAAAAACuyq6AFhISYvP5woULys/P14EDBxQfH++IvgAAAADA5dgV0P70pz/VOT5nzhydO3fuihoCAAAAAFfl0N+gPfzww1q9erUjpwQAAAAAl+HQgJaTkyMvLy9HTgkAAAAALsOuWxx/+9vf2nyuqalRUVGRcnNzNWvWLIc0BgAAAACuxq6A5uPjY/PZzc1Nt9xyi+bNm6dBgwY5pDEAMIrAae84u4VrxvEFQ53dAgAAhmZXQFuzZo2j+wAAAAAAl2fXb9BOnDihr776yvp59+7deuqpp7Ry5UqHNQYAAAAArsaugPbQQw/p/ffflyRZLBZFRUVp9+7devrppzVv3jyHNggAAAAArsKugHbgwAH17dtXkvT666+re/fu2rlzp9auXauXXnrJkf0BAAAAgMuwK6BduHBBnp6ekqR3331Xw4YNkyR16dJFRUVFjusOAAAAAFyIXQHt1ltvVVpamj788ENlZWVp8ODBkqTCwkL5+vo6tEEAAAAAcBV2BbTnnntOf/nLX3TnnXdq5MiR6tmzpyRp06ZN1lsfAQAAAACNY9dj9u+8806dPn1aZWVluu6666zjY8eOVfPmzR3WHAAAAAC4ErsCmiS5u7vbhDNJCgwMvNJ+AAAAAMBl2R3Q3njjDb3++usqKChQZWWlzbq9e/decWMAAAAA4Grs+g3asmXLlJCQIH9/f+3bt099+/aVr6+vvvjiCw0ZMsTRPQIAAACAS7AroP35z3/WypUr9fzzz8vDw0NTp05VVlaWJkyYoNLS0kbPt2LFCgUGBsrLy0vh4eHavXv3Zes3bNigLl26yMvLS927d9fmzZtt1tfU1Cg5OVnt2rVTs2bNFBUVpSNHjljXb9u2TSaTqc5lz549kqTjx4/Xuf7jjz9u9PEBAAAAQEPYFdAKCgoUGRkpSWrWrJnOnj0rSXrkkUf02muvNWqu9PR0JSUlafbs2dq7d6969uyp6OhonTx5ss76nTt3auTIkRo9erT27dunmJgYxcTE6MCBA9aahQsXatmyZUpLS9OuXbvUokULRUdH6/vvv5ckRUZGqqioyGb5/e9/r06dOiksLMxmf++++65NXWhoaKOODwAAAAAayq6AZjabVVJSIkm68cYbrVeVjh07ppqamkbNtWTJEo0ZM0YJCQkKDg5WWlqamjdvrtWrV9dZv3TpUg0ePFhTpkxR165dNX/+fPXu3VvLly+X9MPVs9TUVM2cOVP33XefevTooVdeeUWFhYXKyMiQJHl4eMhsNlsXX19f/eMf/1BCQoJMJpPN/nx9fW1qmzZt2qjjAwAAAICGsiug3X333dq0aZMkKSEhQZMmTdI999yj2NhY/eY3v2nwPJWVlcrLy1NUVNSPDbm5KSoqSjk5OXVuk5OTY1MvSdHR0db6Y8eOyWKx2NT4+PgoPDy83jk3bdqkb775RgkJCbXWDRs2TG3btlX//v2tx1yfiooKlZWV2SwAAAAA0FB2PcVx5cqVqq6uliSNGzdOvr6+2rlzp4YNG6bHHnuswfOcPn1aVVVV8vf3txn39/fXoUOH6tzGYrHUWW+xWKzrL43VV/Nzq1atUnR0tDp06GAda9mypRYvXqx+/frJzc1Nf//73xUTE6OMjAwNGzasznlSUlI0d+7cyxwxAAAAANTProDm5uYmN7cfL76NGDFCI0aMcFhT/0lfffWVtmzZotdff91m3M/PT0lJSdbPffr0UWFhoRYtWlRvQJs+fbrNNmVlZQoICLg6jQMAAAC45th1i6Mkffjhh3r44YcVERGhr7/+WpL0t7/9TR999FGD5/Dz85O7u7uKi4ttxouLi2U2m+vcxmw2X7b+0n8bOueaNWvk6+tbb+j6qfDwcB09erTe9Z6envL29rZZAAAAAKCh7Apof//73xUdHa1mzZpp3759qqiokCSVlpbq2WefbfA8Hh4eCg0NVXZ2tnWsurpa2dnZioiIqHObiIgIm3pJysrKstZ36tRJZrPZpqasrEy7du2qNWdNTY3WrFmjuLi4Bj38Iz8/X+3atWvw8QEAAABAY9h1i+MzzzyjtLQ0xcXFaf369dbxfv366ZlnnmnUXElJSYqPj1dYWJj69u2r1NRUlZeXWx/YERcXpxtuuEEpKSmSpIkTJ+qOO+7Q4sWLNXToUK1fv165ublauXKlJMlkMumpp57SM888o6CgIHXq1EmzZs1S+/btFRMTY7Pv9957T8eOHdPvf//7Wn29/PLL8vDwUK9evSRJGzdu1OrVq/XXv/61UccHAAAAAA1lV0A7fPiwbr/99lrjPj4+OnPmTKPmio2N1alTp5ScnCyLxaKQkBBlZmZaH/JRUFBg83u3yMhIrVu3TjNnztSMGTMUFBSkjIwMdevWzVozdepUlZeXa+zYsTpz5oz69++vzMxMeXl52ex71apVioyMVJcuXersbf78+fryyy/VpEkTdenSRenp6XrggQcadXwAAAAA0FB2BTSz2ayjR48qMDDQZvyjjz7STTfd1Oj5EhMTlZiYWOe6bdu21RobPny4hg8fXu98JpNJ8+bN07x58y6733Xr1tW7Lj4+XvHx8ZfdHgAAAAAcya7foI0ZM0YTJ07Url27ZDKZVFhYqLVr12ry5Ml64oknHN0jAAAAALgEu66gTZs2TdXV1Ro4cKDOnz+v22+/XZ6enpo8ebLGjx/v6B4BAAAAwCXYFdBMJpOefvppTZkyRUePHtW5c+cUHBysli1bOro/AAAAAHAZdgW0Szw8PBQcHOyoXgAAAADApTUqoD366KMNqlu9erVdzQAAAACAK2tUQHvppZfUsWNH9erVSzU1NVerJwAAAABwSY0KaE888YRee+01HTt2TAkJCXr44Yd1/fXXX63eAAAAAMClNOox+ytWrFBRUZGmTp2qt956SwEBAXrwwQe1ZcsWrqgBAAAAwBVq9HvQPD09NXLkSGVlZenTTz/VrbfeqieffFKBgYE6d+7c1egRAAAAAFyCXS+qtm7s5iaTyaSamhpVVVU5qicAAAAAcEmNDmgVFRV67bXXdM899+jmm2/WJ598ouXLl6ugoID3oAEAAADAFWjUQ0KefPJJrV+/XgEBAXr00Uf12muvyc/P72r1BgAAAAAupVEBLS0tTTfeeKNuuukmffDBB/rggw/qrNu4caNDmgMAAAAAV9KogBYXFyeTyXS1egEAAAAAl9boF1UDAAAAAK6OK3qKIwAAAADAcQhoAAAAAGAQBDQAAAAAMAgCGgAAAAAYBAENAAAAAAyCgAYAAAAABkFAAwAAAACDIKABAAAAgEEQ0AAAAADAIAhoAAAAAGAQBDQAAAAAMAgCGgAAAAAYBAENAAAAAAyCgAYAAAAABkFAAwAAAACDIKABAAAAgEEQ0AAAAADAIAhoAAAAAGAQBDQAAAAAMAgCGgAAAAAYBAENAAAAAAyCgAYAAAAABkFAAwAAAACDIKABAAAAgEEQ0AAAAADAIAhoAAAAAGAQBDQAAAAAMAgCGgAAAAAYBAENAAAAAAyCgAYAAAAABkFAAwAAAACDMERAW7FihQIDA+Xl5aXw8HDt3r37svUbNmxQly5d5OXlpe7du2vz5s0262tqapScnKx27dqpWbNmioqK0pEjR2xqAgMDZTKZbJYFCxbY1Ozfv18DBgyQl5eXAgICtHDhQsccMAAAAADUwekBLT09XUlJSZo9e7b27t2rnj17Kjo6WidPnqyzfufOnRo5cqRGjx6tffv2KSYmRjExMTpw4IC1ZuHChVq2bJnS0tK0a9cutWjRQtHR0fr+++9t5po3b56Kioqsy/jx463rysrKNGjQIHXs2FF5eXlatGiR5syZo5UrV16dLwIAAACAy3N6QFuyZInGjBmjhIQEBQcHKy0tTc2bN9fq1avrrF+6dKkGDx6sKVOmqGvXrpo/f7569+6t5cuXS/rh6llqaqpmzpyp++67Tz169NArr7yiwsJCZWRk2MzVqlUrmc1m69KiRQvrurVr16qyslKrV6/WrbfeqhEjRmjChAlasmTJVfsuAAAAALg2pwa0yspK5eXlKSoqyjrm5uamqKgo5eTk1LlNTk6OTb0kRUdHW+uPHTsmi8ViU+Pj46Pw8PBacy5YsEC+vr7q1auXFi1apIsXL9rs5/bbb5eHh4fNfg4fPqxvv/22zt4qKipUVlZmswAAAABAQzVx5s5Pnz6tqqoq+fv724z7+/vr0KFDdW5jsVjqrLdYLNb1l8bqq5GkCRMmqHfv3rr++uu1c+dOTZ8+XUVFRdYrZBaLRZ06dao1x6V11113Xa3eUlJSNHfu3F88bgAAAACoi1MDmjMlJSVZ/9yjRw95eHjoscceU0pKijw9Pe2ac/r06TbzlpWVKSAg4Ip7BQAAAOAanHqLo5+fn9zd3VVcXGwzXlxcLLPZXOc2ZrP5svWX/tuYOSUpPDxcFy9e1PHjxy+7n5/u4+c8PT3l7e1tswAAAABAQzk1oHl4eCg0NFTZ2dnWserqamVnZysiIqLObSIiImzqJSkrK8ta36lTJ5nNZpuasrIy7dq1q945JSk/P19ubm5q27atdT/bt2/XhQsXbPZzyy231Hl7IwAAAABcKac/xTEpKUkvvviiXn75ZX322Wd64oknVF5eroSEBElSXFycpk+fbq2fOHGiMjMztXjxYh06dEhz5sxRbm6uEhMTJUkmk0lPPfWUnnnmGW3atEmffPKJ4uLi1L59e8XExEj64QEgqamp+r//+z998cUXWrt2rSZNmqSHH37YGr4eeugheXh4aPTo0Tp48KDS09O1dOlSm1sYAQAAAMCRnP4btNjYWJ06dUrJycmyWCwKCQlRZmam9YEcBQUFcnP7MUdGRkZq3bp1mjlzpmbMmKGgoCBlZGSoW7du1pqpU6eqvLxcY8eO1ZkzZ9S/f39lZmbKy8tL0g+3Iq5fv15z5sxRRUWFOnXqpEmTJtmELx8fH23dulXjxo1TaGio/Pz8lJycrLFjx/6HvhkAAAAArsbpAU2SEhMTrVfAfm7btm21xoYPH67hw4fXO5/JZNK8efM0b968Otf37t1bH3/88S/21aNHD3344Ye/WAcAAAAAjuD0WxwBAAAAAD8goAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABiEIQLaihUrFBgYKC8vL4WHh2v37t2Xrd+wYYO6dOkiLy8vde/eXZs3b7ZZX1NTo+TkZLVr107NmjVTVFSUjhw5Yl1//PhxjR49Wp06dVKzZs30q1/9SrNnz1ZlZaVNjclkqrV8/PHHjj14AAAAAPg3pwe09PR0JSUlafbs2dq7d6969uyp6OhonTx5ss76nTt3auTIkRo9erT27dunmJgYxcTE6MCBA9aahQsXatmyZUpLS9OuXbvUokULRUdH6/vvv5ckHTp0SNXV1frLX/6igwcP6k9/+pPS0tI0Y8aMWvt79913VVRUZF1CQ0OvzhcBAAAAwOU5PaAtWbJEY8aMUUJCgoKDg5WWlqbmzZtr9erVddYvXbpUgwcP1pQpU9S1a1fNnz9fvXv31vLlyyX9cPUsNTVVM2fO1H333acePXrolVdeUWFhoTIyMiRJgwcP1po1azRo0CDddNNNGjZsmCZPnqyNGzfW2p+vr6/MZrN1adq06VX7LgAAAAC4NqcGtMrKSuXl5SkqKso65ubmpqioKOXk5NS5TU5Ojk29JEVHR1vrjx07JovFYlPj4+Oj8PDweueUpNLSUl1//fW1xocNG6a2bduqf//+2rRp02WPp6KiQmVlZTYLAAAAADSUUwPa6dOnVVVVJX9/f5txf39/WSyWOrexWCyXrb/038bMefToUT3//PN67LHHrGMtW7bU4sWLtWHDBr3zzjvq37+/YmJiLhvSUlJS5OPjY10CAgLqrQUAAACAn2vi7Aac7euvv9bgwYM1fPhwjRkzxjru5+enpKQk6+c+ffqosLBQixYt0rBhw+qca/r06TbblJWVEdIAAAAANJhTr6D5+fnJ3d1dxcXFNuPFxcUym811bmM2my9bf+m/DZmzsLBQd911lyIjI7Vy5cpf7Dc8PFxHjx6td72np6e8vb1tFgAAAABoKKcGNA8PD4WGhio7O9s6Vl1drezsbEVERNS5TUREhE29JGVlZVnrO3XqJLPZbFNTVlamXbt22cz59ddf684771RoaKjWrFkjN7df/iry8/PVrl27Rh0jAAAAADSU029xTEpKUnx8vMLCwtS3b1+lpqaqvLxcCQkJkqS4uDjdcMMNSklJkSRNnDhRd9xxhxYvXqyhQ4dq/fr1ys3NtV4BM5lMeuqpp/TMM88oKChInTp10qxZs9S+fXvFxMRI+jGcdezYUX/84x916tQpaz+XrrK9/PLL8vDwUK9evSRJGzdu1OrVq/XXv/71P/XVAAAAAHAxTg9osbGxOnXqlJKTk2WxWBQSEqLMzEzrQz4KCgpsrm5FRkZq3bp1mjlzpmbMmKGgoCBlZGSoW7du1pqpU6eqvLxcY8eO1ZkzZ9S/f39lZmbKy8tL0g9X3I4ePaqjR4+qQ4cONv3U1NRY/zx//nx9+eWXatKkibp06aL09HQ98MADV/PrAAAAAODCnB7QJCkxMVGJiYl1rtu2bVutseHDh2v48OH1zmcymTRv3jzNmzevzvW/+93v9Lvf/e6yPcXHxys+Pv6yNQAAAADgSE5/UTUAAAAA4AcENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMgoAEAAACAQRDQAAAAAMAgCGgAAAAAYBAENAAAAAAwCAIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUADAAAAAIMwREBbsWKFAgMD5eXlpfDwcO3evfuy9Rs2bFCXLl3k5eWl7t27a/PmzTbra2pqlJycrHbt2qlZs2aKiorSkSNHbGpKSko0atQoeXt7q3Xr1ho9erTOnTtnU7N//34NGDBAXl5eCggI0MKFCx1zwAAAAABQB6cHtPT0dCUlJWn27Nnau3evevbsqejoaJ08ebLO+p07d2rkyJEaPXq09u3bp5iYGMXExOjAgQPWmoULF2rZsmVKS0vTrl271KJFC0VHR+v777+31owaNUoHDx5UVlaW3n77bW3fvl1jx461ri8rK9OgQYPUsWNH5eXladGiRZozZ45Wrlx59b4MAAAAAC7N6QFtyZIlGjNmjBISEhQcHKy0tDQ1b95cq1evrrN+6dKlGjx4sKZMmaKuXbtq/vz56t27t5YvXy7ph6tnqampmjlzpu677z716NFDr7zyigoLC5WRkSFJ+uyzz5SZmam//vWvCg8PV//+/fX8889r/fr1KiwslCStXbtWlZWVWr16tW699VaNGDFCEyZM0JIlS/4j3wsAAAAA19PEmTuvrKxUXl6epk+fbh1zc3NTVFSUcnJy6twmJydHSUlJNmPR0dHW8HXs2DFZLBZFRUVZ1/v4+Cg8PFw5OTkaMWKEcnJy1Lp1a4WFhVlroqKi5Obmpl27duk3v/mNcnJydPvtt8vDw8NmP88995y+/fZbXXfddbV6q6ioUEVFhfVzaWmppB+uxhlBdcV5Z7dwzXD0OeXcOM7V+PvG+XEczo9xcW6MjfNjbPy7wLiM8u9w6cdeampqLlvn1IB2+vRpVVVVyd/f32bc399fhw4dqnMbi8VSZ73FYrGuvzR2uZq2bdvarG/SpImuv/56m5pOnTrVmuPSuroCWkpKiubOnVtrPCAgoM5jwX8vn1Rnd4D6cG6MjfNjXJwbY+P8GBvnx7iMeG7Onj0rHx+fetc7NaBda6ZPn25zda+6ulolJSXy9fWVyWRyYmf/HcrKyhQQEKATJ07I29vb2e3gZzg/xsW5MTbOj7FxfoyLc2NsnJ/Gq6mp0dmzZ9W+ffvL1jk1oPn5+cnd3V3FxcU248XFxTKbzXVuYzabL1t/6b/FxcVq166dTU1ISIi15ucPIbl48aJKSkps5qlrPz/dx895enrK09PTZqx169Z11qJ+3t7e/EU3MM6PcXFujI3zY2ycH+Pi3Bgb56dxLnfl7BKnPiTEw8NDoaGhys7Oto5VV1crOztbERERdW4TERFhUy9JWVlZ1vpOnTrJbDbb1JSVlWnXrl3WmoiICJ05c0Z5eXnWmvfee0/V1dUKDw+31mzfvl0XLlyw2c8tt9xS5+2NAAAAAHClnP4Ux6SkJL344ot6+eWX9dlnn+mJJ55QeXm5EhISJElxcXE2DxGZOHGiMjMztXjxYh06dEhz5sxRbm6uEhMTJUkmk0lPPfWUnnnmGW3atEmffPKJ4uLi1L59e8XExEiSunbtqsGDB2vMmDHavXu3duzYocTERI0YMcJ6yfGhhx6Sh4eHRo8erYMHDyo9PV1Lly6t9YASAAAAAHAUp/8GLTY2VqdOnVJycrIsFotCQkKUmZlpfSBHQUGB3Nx+zJGRkZFat26dZs6cqRkzZigoKEgZGRnq1q2btWbq1KkqLy/X2LFjdebMGfXv31+ZmZny8vKy1qxdu1aJiYkaOHCg3NzcdP/992vZsmXW9T4+Ptq6davGjRun0NBQ+fn5KTk52eZdaXAsT09PzZ49u9ZtojAGzo9xcW6MjfNjbJwf4+LcGBvn5+ox1fzScx4BAAAAAP8RTr/FEQAAAADwAwIaAAAAABgEAQ0AAAAADIKABgAAAAAGQUCDYaxYsUKBgYHy8vJSeHi4du/e7eyWIGn79u369a9/rfbt28tkMikjI8PZLeHfUlJS1KdPH7Vq1Upt27ZVTEyMDh8+7Oy28G8vvPCCevToYX2Ja0REhP75z386uy3UYcGCBdbX9MD55syZI5PJZLN06dLF2W3h377++ms9/PDD8vX1VbNmzdS9e3fl5uY6u61rCgENhpCenq6kpCTNnj1be/fuVc+ePRUdHa2TJ086uzWXV15erp49e2rFihXObgU/88EHH2jcuHH6+OOPlZWVpQsXLmjQoEEqLy93dmuQ1KFDBy1YsEB5eXnKzc3V3Xffrfvuu08HDx50dmv4iT179ugvf/mLevTo4exW8BO33nqrioqKrMtHH33k7JYg6dtvv1W/fv3UtGlT/fOf/9Snn36qxYsX67rrrnN2a9cUHrMPQwgPD1efPn20fPlySVJ1dbUCAgI0fvx4TZs2zcnd4RKTyaQ333zT+tJ3GMupU6fUtm1bffDBB7r99tud3Q7qcP3112vRokUaPXq0s1uBpHPnzql3797685//rGeeeUYhISFKTU11dlsub86cOcrIyFB+fr6zW8HPTJs2TTt27NCHH37o7FauaVxBg9NVVlYqLy9PUVFR1jE3NzdFRUUpJyfHiZ0B/11KS0sl/RACYCxVVVVav369ysvLFRER4ex28G/jxo3T0KFDbf73B8Zw5MgRtW/fXjfddJNGjRqlgoICZ7cESZs2bVJYWJiGDx+utm3bqlevXnrxxRed3dY1h4AGpzt9+rSqqqrk7+9vM+7v7y+LxeKkroD/LtXV1XrqqafUr18/devWzdnt4N8++eQTtWzZUp6ennr88cf15ptvKjg42NltQdL69eu1d+9epaSkOLsV/Ex4eLheeuklZWZm6oUXXtCxY8c0YMAAnT171tmtubwvvvhCL7zwgoKCgrRlyxY98cQTmjBhgl5++WVnt3ZNaeLsBgAAV27cuHE6cOAAv9MwmFtuuUX5+fkqLS3VG2+8ofj4eH3wwQeENCc7ceKEJk6cqKysLHl5eTm7HfzMkCFDrH/u0aOHwsPD1bFjR73++uvcHuxk1dXVCgsL07PPPitJ6tWrlw4cOKC0tDTFx8c7ubtrB1fQ4HR+fn5yd3dXcXGxzXhxcbHMZrOTugL+eyQmJurtt9/W+++/rw4dOji7HfyEh4eHOnfurNDQUKWkpKhnz55aunSps9tyeXl5eTp58qR69+6tJk2aqEmTJvrggw+0bNkyNWnSRFVVVc5uET/RunVr3XzzzTp69KizW3F57dq1q/V/MHXt2pVbUB2MgAan8/DwUGhoqLKzs61j1dXVys7O5rcawGXU1NQoMTFRb775pt577z116tTJ2S3hF1RXV6uiosLZbbi8gQMH6pNPPlF+fr51CQsL06hRo5Sfny93d3dnt4ifOHfunP71r3+pXbt2zm7F5fXr16/W61w+//xzdezY0UkdXZu4xRGGkJSUpPj4eIWFhalv375KTU1VeXm5EhISnN2ayzt37pzN/2t57Ngx5efn6/rrr9eNN97oxM4wbtw4rVu3Tv/4xz/UqlUr6282fXx81KxZMyd3h+nTp2vIkCG68cYbdfbsWa1bt07btm3Tli1bnN2ay2vVqlWt32q2aNFCvr6+/IbTACZPnqxf//rX6tixowoLCzV79my5u7tr5MiRzm7N5U2aNEmRkZF69tln9eCDD2r37t1auXKlVq5c6ezWrikENBhCbGysTp06peTkZFksFoWEhCgzM7PWg0Pwn5ebm6u77rrL+jkpKUmSFB8fr5deeslJXUH64UXIknTnnXfajK9Zs0a/+93v/vMNwcbJkycVFxenoqIi+fj4qEePHtqyZYvuueceZ7cGGNpXX32lkSNH6ptvvlGbNm3Uv39/ffzxx2rTpo2zW3N5ffr00Ztvvqnp06dr3rx56tSpk1JTUzVq1Chnt3ZN4T1oAAAAAGAQ/AYNAAAAAAyCgAYAAAAABkFAAwAAAACDIKABAAAAgEEQ0AAAAADAIAhoAAAAAGAQBDQAAAAAMAgCGgAAAAAYBAENAAAHOn78uEwmk/Lz8+ut2bZtm0wmk86cOfMf6wsA8N+BgAYAwL+dOHFCjz76qNq3by8PDw917NhREydO1DfffOPQ/URGRqqoqEg+Pj6SpJdeekmtW7e+7DZ79uxR+/btJUmFhYVq1qyZKisrHdoXAMD5CGgAAEj64osvFBYWpiNHjui1117T0aNHlZaWpuzsbEVERKikpMRh+/Lw8JDZbJbJZGrwNjk5OerXr58k6cMPP1RYWJg8PDwc1hMAwBgIaAAASBo3bpw8PDy0detW3XHHHbrxxhs1ZMgQvfvuu/r666/19NNPS5JMJpMyMjJstm3durVeeuklm7FDhw4pMjJSXl5e6tatmz744APrup/e4rht2zYlJCSotLRUJpNJJpNJc+bMqdXfzp07rQHto48+sv4ZAHBtIaABAFxeSUmJtmzZoieffFLNmjWzWWc2mzVq1Cilp6erpqamwXNOmTJFf/jDH7Rv3z5FRETo17/+dZ23SkZGRio1NVXe3t4qKipSUVGRJk+eLOmHINa6dWu1bt1ab7zxhp5++mm1bt1aaWlpWrZsmVq3bq0FCxZc2cEDAAyFgAYAcHlHjhxRTU2NunbtWuf6rl276ttvv9WpU6caPGdiYqLuv/9+de3aVS+88IJ8fHy0atWqWnUeHh7y8fGRyWSS2WyW2WxWy5YtJUlhYWHKz8/X+vXr5e3trQMHDig7O1tubm7au3ev8vPz9fjjj9t30AAAQyKgAQDwb790hawxv/mKiIiw/rlJkyYKCwvTZ5991qh+vLy8FBgYqP3792vIkCHq1KmTDh06pAEDBqhLly4KDAz8xYeLAAD+uzRxdgMAADhb586dZTKZ9Nlnn+k3v/lNrfWfffaZ2rRpo9atW8tkMtUKchcuXLgqfV26klZRUSE3Nzf94x//UGVlpWpqatSyZUsNGDBA//znP6/KvgEAzsEVNACAy/P19dU999yjP//5z/ruu+9s1lksFq1du1a/+93vJElt2rRRUVGRdf2RI0d0/vz5WnN+/PHH1j9fvHhReXl59d5C6eHhoaqqqlrj+fn5ys3Nlbu7u7Kzs5Wfny9fX1+9/vrrys/P11//+ld7DhcAYGAENAAAJC1fvlwVFRWKjo7W9u3bdeLECWVmZuqee+7RzTffrOTkZEnS3XffreXLl2vfvn3Kzc3V448/rqZNm9aab8WKFXrzzTd16NAhjRs3Tt9++60effTROvcdGBioc+fOKTs7W6dPn7YGvs6dO+vMmTPy9/dX//795eHhobNnz+rXv/61OnfurBtuuOHqfSEAAKcgoAEAICkoKEh79uzRTTfdpAcffFAdO3bUkCFDdPPNN2vHjh3W2w0XL16sgIAADRgwQA899JAmT56s5s2b15pvwYIFWrBggXr27KmPPvpImzZtkp+fX537joyM1OOPP67Y2Fi1adNGCxcutK7btm2bbr/9dknSBx98oIiICDVpwi8UAOBaZappzDODAQBwIbNnz9aSJUuUlZWl2267zdntAABcAAENAIDLWLNmjUpLSzVhwgS5uXHjCQDg6iKgAQAAAIBB8H8FAgAAAIBBENAAAAAAwCAIaAAAAABgEAQ0AAAAADAIAhoAAAAAGAQBDQAAAAAMgoAGAAAAAAZBQAMAAAAAgyCgAQAAAIBB/H/n2e4HuOQ5cgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.bar(qubit_indices, readout_errors, align='center', label='Readout Error')\n",
    "plt.xlabel('Qubit#')\n",
    "plt.ylabel('Measurement Error (%)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "7843b930-f08f-407e-8aa2-55fd25f0683b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "two_qubit_gate_errors = []\n",
    "\n",
    "for gate in properties.gates:\n",
    "    if gate.gate == 'cx':\n",
    "        gate_error = next((item.value for item in gate.parameters if item.name == 'gate_error'), None)\n",
    "        if gate_error:\n",
    "            two_qubit_gate_errors.append((gate.qubits, gate_error))\n",
    "\n",
    "# Extract data for plotting\n",
    "gate_names = [f\"cx_{gate[0][0]}_{gate[0][1]}\" for gate in two_qubit_gate_errors]\n",
    "errors = [gate[1] for gate in two_qubit_gate_errors]\n",
    "\n",
    "# Plot\n",
    "plt.figure(figsize=(7,5)) \n",
    "plt.barh(gate_names, errors, align='center', color='skyblue')\n",
    "plt.xlabel('Two-Qubit Gate Errors (%)')\n",
    "plt.xlim(0,0.1)\n",
    "plt.gca().invert_yaxis()  # to display the top qubit pairs at the top\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "087ee89c-7c25-46f0-b27b-570efe8e92d9",
   "metadata": {},
   "source": [
    "## Generating a GHZ circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "92cfac11-96eb-435c-bc42-df09c75fd9d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GHZ_prep(n):\n",
    "    circuits = []\n",
    "    qc = QuantumCircuit(n,n)\n",
    "    mid = int(n/2)\n",
    "    qc.h(mid)\n",
    "    for i in range(mid):\n",
    "        qc.cx(mid-i,mid-i-1)\n",
    "        if mid+i+1<n:\n",
    "            qc.cx(mid+i,mid+i+1)\n",
    "    qc.barrier()\n",
    "    qc.measure(range(n),range(n))\n",
    "    return qc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "dd23bb1f-5358-483d-92cc-b6e0d4f13677",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14a9ecfd0>,\n",
       " <qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14a9ecaf0>,\n",
       " <qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14a9ec970>,\n",
       " <qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14a9cccd0>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "GHZ_ckts = [GHZ_prep(n) for n in range(2,6)]\n",
    "GHZ_ckts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "7367a18d-9b0d-4e99-b3d8-8d4a02663816",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 538.128x284.278 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 705.552x367.889 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 789.163x451.5 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 956.385x535.111 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(GHZ_ckts)):\n",
    "    display(GHZ_ckts[i].draw('mpl', style=\"clifford\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "7e017cde-8dc6-4192-a7f1-4f7cd3458f4e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GHZ_prep_with_inverse(n):\n",
    "    circuits = []\n",
    "    qc = QuantumCircuit(n, n)\n",
    "    mid = int(n / 2)\n",
    "    \n",
    "    # GHZ State Preparation\n",
    "    qc.h(mid)\n",
    "    for i in range(mid):\n",
    "        qc.cx(mid - i, mid - i - 1)\n",
    "        if mid + i + 1 < n:\n",
    "            qc.cx(mid + i, mid + i + 1)\n",
    "    qc.barrier()\n",
    "    # Inverse GHZ State Preparation\n",
    "    for i in reversed(range(mid)):\n",
    "        if mid + i + 1 < n:\n",
    "            qc.cx(mid + i, mid + i + 1)\n",
    "        qc.cx(mid - i, mid - i - 1)\n",
    "    qc.h(mid)\n",
    "    qc.barrier()\n",
    "    # Measurement\n",
    "    qc.measure(range(n), range(n))\n",
    "    return qc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "4ad55693-276f-4167-acfc-aa0e9d8ce2f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14aeb67f0>,\n",
       " <qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14aeb6880>,\n",
       " <qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14aee6c70>,\n",
       " <qiskit.circuit.quantumcircuit.QuantumCircuit at 0x14aef2520>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "GHZ_ckts2 = [GHZ_prep_with_inverse(n) for n in range(2,6)]\n",
    "GHZ_ckts2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "c1e081ca-fc06-40ef-9987-03d9ed7f48c1",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 788.961x284.278 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1040x367.889 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1123.61x451.5 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1374.44x535.111 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.display import display\n",
    "\n",
    "for i in range(len(GHZ_ckts2)):\n",
    "    display(GHZ_ckts2[i].draw('mpl', style=\"clifford\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ecef2376-807d-4919-a6da-e140a69f34eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1837.48x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "layout = [0,1,3,5,6]\n",
    "GHZ_5 = GHZ_prep_with_inverse(5)\n",
    "GHZ_ckts_transpiled = transpile(GHZ_5, backend, initial_layout=layout, optimization_level=0)\n",
    "GHZ_ckts_transpiled.draw('mpl',style=\"clifford\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9689278-8d2e-4ac0-8170-a945170b5c84",
   "metadata": {},
   "source": [
    "## Adding DD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "46ca9287-1a4f-48f5-8944-45363d469b31",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit_ibm_provider.transpiler.passes.scheduling import DynamicCircuitInstructionDurations\n",
    "from qiskit_ibm_provider.transpiler.passes.scheduling import ALAPScheduleAnalysis\n",
    "\n",
    "from qiskit.circuit.library import XGate, RZGate\n",
    "from qiskit_ibm_provider.transpiler.passes.scheduling import PadDynamicalDecoupling as PDDDynamic\n",
    "from qiskit.transpiler import PassManager \n",
    "\n",
    "dd_sequence_2 = [XGate(), XGate()]\n",
    "dd_sequence_4 = [XGate(), XGate(),XGate(), XGate()]\n",
    "\n",
    "durations = DynamicCircuitInstructionDurations.from_backend(backend)\n",
    "\n",
    "pm_dynamic_2X = PassManager(\n",
    "    [\n",
    "        ALAPScheduleAnalysis(durations),\n",
    "        PDDDynamic(durations, dd_sequence_2, spacings = [1/4, 1/2, 1/4], \n",
    "                sequence_min_length_ratios =[2], extra_slack_distribution='edges'),\n",
    "    ])\n",
    "\n",
    "pm_dynamic_4X = PassManager(\n",
    "                    [\n",
    "                        ALAPScheduleAnalysis(durations),\n",
    "                        PDDDynamic(durations, dd_sequence_4, spacings = [1/8, 1/4, 1/4, 1/4, 1/8], \n",
    "                                sequence_min_length_ratios =[1], extra_slack_distribution='edges'),\n",
    "                    ])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "96dd6eec-bcef-4a09-b34a-b6b0e0e1a437",
   "metadata": {},
   "outputs": [],
   "source": [
    "circuit_dd_2X = pm_dynamic_2X.run(GHZ_ckts_transpiled)\n",
    "circuit_dd_4X = pm_dynamic_4X.run(GHZ_ckts_transpiled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "aa33555b-7d19-40c8-aea7-084ebfbacd95",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2210.55x1454.83 with 1 Axes>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit_dd_4X.draw('mpl', style=\"clifford\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "7f2aca94-05e1-4b9b-abb0-bc6b55dae42b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x480 with 1 Axes>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ckt_sched = transpile(circuit_dd_4X, backend=backend, scheduling_method='alap',  routing_method=None)\n",
    "timeline_drawer(ckt_sched, show_idle=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "322652fc-270d-47ac-ba4c-0f42db5007cb",
   "metadata": {},
   "source": [
    "## Running the experiments on real quantum processor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "c64a2891-087d-4c76-8632-236c5a8aba09",
   "metadata": {},
   "outputs": [],
   "source": [
    "shots = 4000\n",
    "all_ckts = [GHZ_ckts_transpiled, circuit_dd_2X, circuit_dd_4X]\n",
    "job = backend.run(all_ckts, shots=shots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "52d8bb0d-eadc-4c74-92ea-2a43517f5926",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.QUEUED: 'job is queued'>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "2178f3a6-3065-4ae9-a013-d71839ccf35a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cna04h28ff30008rjfkg\n"
     ]
    }
   ],
   "source": [
    "print(job.job_id())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf40395b-1a22-44f0-b986-1b72a16906cd",
   "metadata": {},
   "source": [
    "'cn99vd5n6vt000847y30'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "e54cf3af-71fb-4960-93eb-564cfc2701dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "job_id = 'cn99vd5n6vt000847y30'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f315cd10-10fd-4619-8e88-da486f11e1ad",
   "metadata": {},
   "source": [
    "## loading the job and looking at the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "892c8356-2839-49fb-a850-d6e582855936",
   "metadata": {},
   "outputs": [],
   "source": [
    "job_reloaded = provider.backend.retrieve_job(job_id)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "748f8b1e-43e8-4552-8e49-6dbb138bd624",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.DONE: 'job has successfully run'>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job_reloaded.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "61a704f3-1e6b-4dbd-9732-aac0fddc4853",
   "metadata": {},
   "outputs": [],
   "source": [
    "result = job_reloaded.result()\n",
    "counts = result.get_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "02e41038-68d9-4c39-9686-ccab02093659",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "3d6811c2-d767-4c55-bae4-d9857630ed25",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.72525"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts[0]['00000']/ sum(counts[0].values()) ## No DD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "caf38b1c-26b4-4859-8e19-9f84fd811fdd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.828"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts[1]['00000']/ sum(counts[1].values()) ## X2 DD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "a748941d-d3e1-45b2-9c50-4869d35fe2fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.82375"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts[2]['00000']/ sum(counts[2].values()) ## X4 DD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fef25d95-9023-4820-bdb9-cc787e6049d6",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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