227 lines (227 with data), 237.9 kB

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "# !pip install pennylane"
      ],
      "metadata": {
        "id": "abh8cKjc69t8"
      },
      "execution_count": 29,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import pennylane as qml\n",
        "import numpy as np\n",
        "\n",
        "dev = qml.device('default.qubit', wires=4)\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def circuit(feature_vector):\n",
        "    qml.AngleEmbedding(features=feature_vector, wires=range(4))\n",
        "    return qml.probs(wires=range(4))\n",
        "\n",
        "X = [1,2,3,4]\n",
        "print(qml.draw_mpl(circuit, expansion_strategy=\"device\")(X))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 555
        },
        "id": "KM-jANWU66Jk",
        "outputId": "d1350c98-97e2-4b71-87b7-9bb2343f9b63"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(<Figure size 400x500 with 1 Axes>, <Axes: >)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 400x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 310
        },
        "id": "HAq9aNh361Pc",
        "outputId": "62ce97ac-90fa-4a9e-8bf6-5de2905f2b28"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(<Figure size 4100x500 with 1 Axes>, <Axes: >)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 4100x500 with 1 Axes>"
            ],
            "image/png": 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+LPQcICvsP6pLz8uXhZ5bH0C96Ef59KN69AOguvS8fFnoOUBW2H9Ul56XLws9tz6AetGP8ulH9egHAKSfAwbIhHfffbfL409+8pMJTZJ+Bx54YJfHGzZsSGgSsuCll16Ks88+Ozo6OmLq1Klxxx13RENDQ9Jj9aihoSHuuOOOzpPsvva1r8XLL7+c9FhAmfS8fGnvuX4AFJeely/tPQfICvuP6tPz8qW959YHUE/6UT79qC79AKgePS9f2nsOkBX2H9Wn5+VLe8+tD6Ce9KN8+lFd+gEA6eaAATKhtbW1y+PBgwcnNEn67fze7PzewXatra1x3nnnRXt7e5xyyikxd+7cVG8ut2toaIh77703TjnllGhvb4/zzjvPv3PICD0vX5p7rh8Axabn5UtzzwGywv6jNvS8fGnuufUB1Jt+lE8/qk8/AKpDz8uX5p4DZIX9R23oefnS3HPrA6g3/SifflSffgBAejlggExoa2vr8niPPfZIaJL0a25u7vLYjTc9uemmm+KXv/xljBgxIu6///4YMGBA0iOVbcCAATF//vwYPnx4rFixIm6++eakRwLKoOflS3PP9QOg2PS8fGnuOUBW2H/Uhp6XL809tz6AetOP8ulHbegHQP/pefnS3HOArLD/qA09L1+ae259APWmH+XTj9rQDwBIJwcMkEmNjf7p9sR7Qzleeuml+P73vx8REXPnzo2hQ4cmPFHf7bfffjF37tyIiJg9e3a8/PLLCU8E9JVm9Syt741+ALCztDYrDbw3AP1j/1E/mtWztL431geQBmm9RqZBWt8b/QBgZ2ltVhp4bwD6x/6jfjSrZ2l9b6wPIA3Seo1Mg7S+N/oBANRCOu98AKiZ1tbWOP/886OjoyPOOeecOPXUU5MeqWKnnXZanH322dHR0RHnnXdet9MVAage/QAAAOrF/gN6Zn0AUAn9AAAA6sX+A3pmfQBQCf0AAGrFAQMABXPHHXfEihUrYsSIEfGjH/0o6XH6bc6cOTFixIhYsWJF/NVf/VXS4wDkln4AAAD1Yv8BPbM+AKiEfgAAAPVi/wE9sz4AqIR+AAC14oABgALZsmVL3HXXXRERcfvtt8fQoUMTnqj/hg4dGt///vcjIuLuu++OLVu2JDwRQP7oBwAAUC/2H9Az6wOASugHAABQL/Yf0DPrA4BK6AcAUEsOGAAokMcffzx+85vfxPDhw+Oss85Kepyq+epXvxrDhg2LX//61/HEE08kPU4qtbe3x3vvvRfvvfdetLe3Jz0OkDH6Aenw0YbrOQBkk57vnv0H9Mz6KC6/3wX6Qz8gHewHASD79Hz37D+gZ9ZHcfn9LtAf+gHpYD8I5JUDBgAK5O67746IiKlTp0Zzc3PC01RPc3NzTJ06NSJ2/IxELF++PK688sqYNGlS7L333jF06NAYOnRo7L333jFp0qS48sor45VXXkl6TCAD9AOS89GejxgxovP5ESNG6DkAZISe9439B/TM+igWv98FqkU/IDn2gwCQfXreN/Yf0DPro1j8fheoFv2A5NgPAkXggAGAgvjVr34Vzz33XDQ2NsZFF12U9DhVd/HFF0dDQ0M8++yz8cYbbyQ9TqJeffXVmDx5chx++OExZ86cWLJkSXz44Yedf/7hhx/GkiVLYs6cOfHZz342Jk+eHK+++mqCEwNpph+QDD0HgOzT876z/4CeWR/FoR9ANekHJEPPASD79Lzv7D+gZ9ZHcegHUE36AcnQc6BIHDAAUBBz586NiIiTTjopRo4cmfA01Tdy5Mg46aSTIiLinnvuSXiaZJRKpZg1a1ZMnDgxFi9eXPbfW7x4cUycODFmzZoVpVKphhMCWaQfUF96DgDZp+eVs/+Anlkf+acfQC3oB9SXngNA9ul55ew/oGfWR/7pB1AL+gH1pedAETlgAKAgnnjiiYiImDp1asKT1M72n+3JJ59MeJL6K5VKccUVV8SMGTOivb29z3+/vb09ZsyYEVdccYVNDdCFfkD96DkAZJ+e94/9B/TM+sg3/QBqRT+gfvQcALJPz/vH/gN6Zn3km34AtaIfUD96DhRVrg8Y+M1vfhN//dd/HSeccEL80R/9Ueyxxx7xiU98Is4444z4xS9+kfR4pNDq1aujoaGhy38DBw6MAw44IM4666xYsmRJv17/vPPOi4aGhli9enV1BoYy/fa3v40333wzIiI+//nPJzxN7Wz/2VpaWuJ3v/tdssPU2ezZs+Ouu+7q9+vcddddMXv27CpMBMnR8+rRD6gvPYcd9BzIKj2vnP1H/uh59Vgf+acfsIN+VI9+QH3pOeyg50BW6Xnl7D/yR8+rx/rIP/2AHfSjevQD6kvPgaLK9QEDc+bMiauuuirefPPNOOGEE+L//t//G0cddVQ89thj8Wd/9mfxd3/3d0mPSEqNGTMmbrzxxrjxxhtj+vTpcfDBB8fChQvjz/7sz+KFF15Iejzos2XLlkVExEEHHRRDhgxJeJraGTp0aIwaNSoidvzMRfDqq6/GDTfcULXXu+GGG+LVV1+t2utBUvS8//QD6kfPYdf0HMgSPe8f+4/80vP+sz7yTT9g1/Sj//QD6kfPYdf0HMgSPe8f+4/80vP+sz7yTT9g1/Sj//QD6kfPgSLL9QEDRx55ZPzrv/5rrFq1KubPnx8zZ86Mn/3sZ/H888/HgAED4tJLL422trakxySFxo4dG9/97nfju9/9btx+++3xL//yLzFz5sxob2+P73znO0mPB322/bS/CRMmJDxJ7U2cODEiot8nHGbJ5ZdfHu3t7VV7vfb29rj88sur9nqQFD3vP/2A+tFz2DU9B7JEz/vH/iO/9Lz/rI980w/YNf3oP/2A+tFz2DU9B7JEz/vH/iO/9Lz/rI980w/YNf3oP/2A+tFzoMhyfcDA6aefHl/4whe6PX/00UfHF7/4xfjtb38br732WgKTkUUXXnhhREQsXbq0y/PvvvtuTJ8+PQ466KBobm6O4cOHx1lnnRX/9V//1eXrRo0aFX/zN38TEdtOEWtoaIiGhoY45phj6jI/xbb93+32zVeebd9E77xW82r58uWxePHiqr/u4sWL45VXXqn660LS9Lxv9APqQ8+hb/QcSCM97z/7j2LR876xPvJLP6Bv9KNv9APqQ8+hb/QcSCM97z/7j2LR876xPvJLP6Bv9KNv9APqQ8+BomtKeoCkDBw4MCIimpoK+xZQoY/+m1m/fn187nOfi5aWljjmmGPia1/7Wrz11lvxs5/9LP7xH/8xnnrqqTjqqKMiImL69Onx4IMPxiuvvBLf+MY3Yt99942IbRsdqLXtm60inGBXtA3mAw88UNPXvvPOO2v2+pAkPS+PfkB96DlURs+BNNHz/rP/KCY9L4/1kV/6AZXRj/LoB9SHnkNl9BxIEz3vP/uPYtLz8lgf+aUfUBn9KI9+QH3oOVB0hfx/1//3f/93PPvss/GHf/iH8elPfzrpcciI+fPnR0R0blAiIq699tpoaWmJGTNmxG233db5/D/90z/FV77ylTj//PPjjTfeiMbGxpg+fXosX748XnnllZg+fXpuNzKk0zvvvBMREWPGjEl4ktobO3ZsROz4mfPuP/7jPzL52pAUPe8b/YD60HPoGz0H0kjP+8/+o1j0vG+sj/zSD+gb/egb/YD60HPoGz0H0kjP+8/+o1j0vG+sj/zSD+gb/egb/YD60HOg6Ap3wEB7e3uce+650dbWFrNnz44BAwYkPVKflEql2Lx5c9Jj1F17e3tdv9+qVaviu9/9bkREvP/++7F06dJ4/vnnY8SIEXH77bdHRMSHH34YDz/8cAwdOjS+/e1vd/n7X/7yl+P444+PZ555Jl588cU4+uij6zr/R7W3t8f777+f2PcneR0dHdHa2hoR264h9fr38NHvU89/g6VSKSIiPvjgg/jf//3faGxsrNv3rrf29vZ49dVXa/b6r776avz+97/vclIk1ZHU+kianlcuiZ7rR3770RdFvV7Vk55nV1HXh55Xrkj786KuD4pLz/vP/qO++w89r5z9ee0lvT7qST+yq6j3u/pROf2ovSL1oy+Ker2qJz3PrqKuDz2vnN/vQn7pef/Zf/j9rp73zPrI7/5cP7KrqPe7+lE5/ai9IvWjL4p6vaonPc8u6yO9Bg8eHA0NDUmPQR8U6grV0dER5513Xrzwwgsxbdq0OPfcc5Meqc82b94ce++9d9Jj5F5LS0vcdNNNXZ77xCc+EYsXL+48HetXv/pVtLa2xhe/+MUYPHhwt9f44he/GM8880wsX7480Q3NvHnzYt68eYl9f9IlqRPsRowYkcj33WeffRL5vnnR1tYW++67b9Jj5F5S66MI9Lx69IMI16us0vP6sD5qR8+zz/qA/itaz+0/8kfPq8f6oC+K1o+kuN+tHf2oHv0gwvUqq/S8PqyP2tHz7LM+oP+K1nP7j/zR8+qxPuiLovUjKe53a0c/qkc/iHC9yio9rw/rI102bdoUe+21V9Jj0AeFOdano6MjLrjggvjpT38a/+f//J+YO3du0iORYieeeGKUSqUolUqxbt26uP3222PdunUxZcqU2LRpU0REbNy4MSJ6DtEf/uEfdvk6AKC+9BwAsk/PASD79ByASugHAGSfngNA9uk5AJXQDwCAbGhKeoB66OjoiPPPPz8eeuihOPvss+PBBx+MxsZsnq0wePDgzhvqIrnqqqsSO/Vr2LBh8c1vfjN+//vfxy233BLf/va346//+q87T8Zau3btLv/e//zP/0RE8idoTZs2Le64445EZyBZHR0dnf8OW1pa6nY60/vvv9/5vdauXVu3E4jWrl3beVLfxo0bM3u9L0d7e3uMGDEiPvzww5q8fnNzc6xduzaamgpxu1BXSa2PpOl55ZLouX7ktx99UdTrVT3peXYVdX3oeeWKtD8v6vqguPS8/+w/6rv/0PPK2Z/XXtLro570I7uKer+rH5XTj9orUj/6oqjXq3rS8+wq6vrQ88r5/S7kl573n/2H3+/qec+sj/zuz/Uju4p6v6sfldOP2itSP/qiqNeretLz7LI+0mvw4MFJj0Af5f4K9dHDBb761a/G3/7t38aAAQOSHqtiDQ0NhbzoDRw4MOkR4vrrr48HHngg7r777pg+fXp86lOfikGDBsXLL78cmzdv7nYB/Nd//deIiPjsZz/b+dz2f3tbt26t19gxcODAQv6boatBgwZFa2trYteQvfbaq27ft6GhISIi9txzz/jYxz5Wl++ZpMMOOyyWLFlSs9f+gz/4g5q8NjvUc30kTc8rl1TP9YOPKtL1qt70PPuKtD70vHJF3Z8XaX1QbHref/Yf9aPnlbM/r72k10e96Uf2Fel+Vz8qpx+1V7R+VKJI16t60/PsK9L60PPK+f0u5Jue95/9R/3oeeXsz2sv6fVRb/qRfUW639WPyulH7RWtH5Uo0vWq3vQ8+6wP6J9cH+vT0dERF1xwQTz00ENx5plnxv/7f/8v04cLkKw999wzrr322mhvb4/vfe97sccee8TZZ58d7777bsycObPL1/785z+Pp556KsaOHRuf//znO58fMmRIRES8/fbbdZ0d9t9//4jYdoJd3q1atSoidvzMefe5z30uk68NSdHzvtEPqA89h77RcyCN9Lz/7D+KRc/7xvrIL/2AvtGPvtEPqA89h77RcyCN9Lz/7D+KRc/7xvrIL/2AvtGPvtEPqA89B4ou1wcM3HzzzfE3f/M3sffee8cf//Efxy233BLf/e53u/y3fPnypMckQy666KLYf//946GHHoqWlpaYPXt2jB49Om655ZY49thj4/rrr49zzjknTj755Bg8eHAsWLAgGht3LLMvfelLna8zY8aMuOWWW+Jv//Zvk/pxKJAJEyZERMTSpUsTnqT2tv+M23/mvLvgggsy+dqQJD0vn35Afeg59J2eA2mj5/1n/1E8el4+6yO/9AP6Tj/Kpx9QH3oOfafnQNroef/ZfxSPnpfP+sgv/YC+04/y6QfUh54DRZfrAwZWr14dERGbNm2KW2+9NW666aZu/zlggL4YNGhQzJgxI7Zs2RI33XRTDBs2LH7xi1/ElVdeGS0tLfGDH/wgnnnmmTj11FPjF7/4RRx11FFd/v6f//mfx/e///2IiPjhD38Y3/nOd+L+++9P4kehYLZvtpYsWZLwJLVXtA3mZz/72Tj66KOr/rpHH310fOYzn6n660Ia6Hn59APqQ8+h7/QcSBs97z/7j+LR8/JZH/mlH9B3+lE+/YD60HPoOz0H0kbP+8/+o3j0vHzWR37pB/SdfpRPP6A+9BwouqakB6ilBx98MB588MGkxyBDRo0aFaVSqdevufzyy+Pyyy/vfLzffvvFnXfeGXfeeWdZ3+Nb3/pWfOtb3+rXnNBXEydOjIhinGC3fRO9/Wcugh//+McxceLEaG9vr8rrDRw4MO66666qvBYkQc+rRz+gfvQcutJzIIv0vH/sP/JHz6vH+sg3/YCu9KN69APqR8+hKz0HskjP+8f+I3/0vHqsj3zTD+hKP6pHP6B+9BwossakBwCg9o444oiIiHjrrbfivffeS3ia2tmwYUOsXr06Inb8zEVw2GGHxc0331y117v55pvj05/+dNVeD8gu/YD60XMAyD497x/7D+iZ9ZFv+gHUin5A/eg5AGSfnveP/Qf0zPrIN/0AakU/oH70HCgyBwwAFMDHP/7xGD16dEREvPjiiwlPUzvbf7YxY8bEvvvum+wwdXbttdfG17/+9X6/zuWXXx7XXnttFSYC8kA/oL70HACyT88rZ/8BPbM+8k8/gFrQD6gvPQeA7NPzytl/QM+sj/zTD6AW9APqS8+BonLAAEBBnHzyyRERMX/+/IQnqZ3tP9tJJ52U8CT119DQEHPmzImZM2fGwIED+/z3Bw4cGDNnzowf/ehH0dDQUIMJgazSD6gfPQeA7NPz/rH/gJ5ZH/mmH0Ct6AfUj54DQPbpef/Yf0DPrI980w+gVvQD6kfPgaJywABAQVx66aUREfHkk0/GmjVrEp6m+lavXh1PPvlkROz4WYumoaEhrrvuuliyZEkcffTRZf+9o48+OpYuXRrXXXedzQzQjX5Afek5AGSfnlfO/gN6Zn3kn34AtaAfUF96DgDZp+eVs/+Anlkf+acfQC3oB9SXngNF5IABgII4+OCD49hjj42Ojo647777kh6n6u67774olUpx3HHHxcEHH5z0OIk67LDD4oUXXojly5fHlVdeGZMmTYo99tij88+bm5tj0qRJceWVV8by5cvjhRdeiE9/+tMJTgykmX5AMvQcALJPz/vO/gN6Zn0Uh34A1aQfkAw9B4Ds0/O+s/+AnlkfxaEfQDXpByRDz4EiaUp6AADq57LLLovnnnsu5s+fHzfccEM0NzcnPVJVtLW1xfz58yNi28/INp/5zGfizjvvjIiI3//+97HvvvtGRMTatWvjD/7gDxKcDMga/YDkfLTnW7ZsiY0bN0ZExD777BNNTbb0AJAFet439h/QM+ujWPx+F6gW/YDk2A8CQPbped/Yf0DPrI9i8ftdoFr0A5JjPwgUQWPSAwBQP1OmTIkDDjgg1q1bF4888kjS41TN3/3d38X69evjwAMPjJNPPjnpcVLpoxsYmxmgr/QD0qGpqSmGDBkSQ4YM0XMAyCg93z37D+iZ9VFcfr8L9Id+QDrYDwJA9un57tl/QM+sj+Ly+12gP/QD0sF+EMgrBwwAFEhTU1N8/etfj4iIb33rW7Fhw4aEJ+q/DRs2xDXXXBMR206vc7MOUH36AQAA1Iv9B/TM+gCgEvoBAADUi/0H9Mz6AKAS+gEA1JIDBgAK5uqrr47x48fH2rVr48orr0x6nH674oorYu3atTF+/Pi4+uqrkx4HILf0AwAAqBf7D+iZ9QFAJfQDAACoF/sP6Jn1AUAl9AMAqBUHDAAUTHNzcyxYsCAaGxvjpz/9afzDP/xD0iNVbNGiRfHwww/HgAED4sEHH4zm5uakRwLILf0AAADqxf4DemZ9AFAJ/QAAAOrF/gN6Zn0AUAn9AABqxQEDZFJHR0fSI6SW94ZyHHnkkXHNNddERMQll1wSGzZsSHiivnv33XfjkksuiYiIa665JiZNmpTwREBfaVbP0vre6AcAO0trs9LAewPQP/Yf9aNZPUvre2N9AGmQ1mtkGqT1vdEPAHaW1malgfcGoH/sP+pHs3qW1vfG+gDSIK3XyDRI63ujHwBALThggEzY+VSqDz/8MKFJ0q+tra3L40GDBiU0CWl34403xvjx42Pt2rVx4YUXxtatW5MeqWxbt26NqVOnxrp162L8+PFx4403Jj0SUAY9L1+ae64fAMWm5+VLc88BssL+ozb0vHxp7rn1AdSbfpRPP2pDPwD6T8/Ll+aeA2SF/Udt6Hn50txz6wOoN/0on37Uhn4AQDo5YIBM2PmmfPPmzQlNkn47vzdp2tCQLoMGDYoFCxbEwIED47HHHouLL744SqVS0mPtVqlUiosvvjgee+yx2GOPPeLBBx/s9ksPIJ30vHxp7rl+ABSbnpcvzT0HyAr7j9rQ8/KluefWB1Bv+lE+/ag+/QCoDj0vX5p7DpAV9h+1oeflS3PPrQ+g3vSjfPpRffoBAOnlgAEyYb/99uvy+O23305okvT79a9/3eXx0KFDE5qELDjyyCPj4YcfjsbGxrj//vvjqquuSvUms1QqxVVXXRX3339/NDY2xsMPPxyTJk1KeiygTHpevrT3XD8AikvPy5f2ngNkhf1H9el5+dLec+sDqCf9KJ9+VJd+AFSPnpcv7T0HyAr7j+rT8/KlvefWB1BP+lE+/agu/QCAdHPAAJkwduzYLo9XrVqV0CTpt3Llyi6Px40bl9AkZMUZZ5wR8+fPj4iIO++8M6ZNmxZbt25NeKrutm7dGlOnTo0777wzIiLuv//+OP300xOeCugLPS9fFnquHwDFpOfly0LPAbLC/qO69Lx8Wei59QHUi36UTz+qRz8AqkvPy5eFngNkhf1Hdel5+bLQc+sDqBf9KJ9+VI9+AED6OWCATNj5pnzt2rWxcePGhKZJr40bN8a6deu6PJfGDQ3pc/7558cDDzzQeZLdGWecERs2bEh6rE7vvvtunHHGGZ0zLliwIM4777ykxwL6SM/Lk6We6wdA8eh5ebLUc4CssP+oHj0vT5Z6bn0A9aAf5dGP6tEPgOrT8/JkqecAWWH/UT16Xp4s9dz6AOpBP8qjH9WjHwCQDQ4YIBNGjx4dDQ0NXZ7b+WQwur8njY2NcdBBByU0DVlz/vnnxyOPPBIDBw6Mxx57LMaPHx+LFi1KeqxYtGhRHHLIIfHYY4/FwIEDY+HChTaXkFF6Xp6s9Vw/AIpFz8uTtZ4DZIX9R3XoeXmy1nPrA6g1/SiPflSHfgDUhp6XJ2s9B8gK+4/q0PPyZK3n1gdQa/pRHv2oDv0AgOxwwACZ0NzcHCNHjuzy3LPPPpvQNOn1zDPPdHk8cuTIaG5uTmgasuiMM86If//3f48/+ZM/iXXr1sXpp58ef/EXf5HIaXYbNmyIc845J04//fRYt25djB8/Pl588cU4/fTT6z4LUB16Xp4s9lw/AIpDz8uTxZ4DZIX9R//peXmy2HPrA6gl/SiPfvSPfgDUlp6XJ4s9B8gK+4/+0/PyZLHn1gdQS/pRHv3oH/0AgOxxwACZceKJJ3Z5vHDhwoQmSa+d35Od3zMox5FHHhnLli2L6667LhobG+OnP/1pHHLIIfHQQw9FW1tbzb9/W1tbPPTQQ3HIIYfEww8/HI2NjTFjxoxYunRpTJo0qebfH6gtPd+9rPZcPwCKQ893L6s9B8gK+4/+0/Pdy2rPrQ+glvRj9/SjMvoBUD96vntZ7TlAVth/9J+e715We259ALWkH7unH5XRDwDILgcMkBlnnnlml8dLly6NN998M6Fp0qelpSWWLVvW5bmd3zMo16BBg2LmzJnxn//5nzF+/PhYu3Zt/OVf/mV88pOfjOuvvz7WrFlT9e+5Zs2auP766+OTn/x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58uS466674tBDD01osvr4r//6r/j6178eL7zwQpfnm5qa4h//8R/jhBNOSGgyIK3cQKeLz2MbPddz0s/1CnpmfWyj53q+K9YHkBWuV9vouZ6Tfq5X6eLz2EY/9IP0c72Cnlkf2+i5nu+K9QFkhevVNnqu56Sf61W6+Dy20Q/9IP1cr6Bn1gdUT2PSA0Bfbd68OS666KJum5lp06bF888/n/vNTETEoYceGs8//3xMmzaty/NbtmyJiy++OD744IOEJgPSqqOjY5f/G5Ki53pONugH0Bs91/Oe6AdAdui5npMN7q9IG/3QD7JBP4De6Lme90Q/ALJDz/WcbHB/Rdroh36QDfoBQD00JT0A9NWsWbNizZo1XZ6bNm1azJ07Nxobi3NmRmNjY8ydOzciIubNm9f5/OrVq2PWrFlx0003JTUakKDf/va3sWzZsliyZEksXbo0li5dGu+88060trZ2fs0+++wTgwYNiv333z8mTJgQEydOjAkTJsQRRxwRH//4xxOcniLR8230nLTQD6ASer5NkXuuHwDZp+fbFLnnpIv7K7JCP7bRD9JCP4BK6Pk2Re65fgBkn55vU+Seky7ur8gK/dhGP0gL/QAgSQ2lUqmU9BBQrlWrVsWhhx4abW1tnc9Nnjw5nn/++UJtZj6qo6MjjjnmmFi8eHHnc83NzfH666/HmDFjEpwMqJc33ngj7rnnnnjiiSfizTff7NdrjR49Ok4++eS49NJL4+CDD67ShOzs/fffj7333jsiIjZt2hR77bVXwhPVl553p+ckQT+gf/Rcz3dWlJ7rB5Aneq7nOytKz0kX91fZox/6sTP9IAn6Af2j53q+s6L0XD+APNFzPd9ZUXpOuri/yh790I+d6QdJ0A/on6L3HKrJAQNkyqWXXtp5SlhExIABA2L58uVx6KGHJjhV8l577bU4/PDDY+vWrZ3PXXLJJXHPPfckOBVQS1u2bInHH3887r777njuuee6/NlBBx3U5WS6MWPGRKlU6vwlR0tLSzQ0NERLS0ssXbq087S7t956q8vrHHvssXHZZZfFlClToqmpqW4/WxEUfUOj57um59SDfkD16Lme70pee64fQF7puZ7vSl57Trq4v8o2/dCPXdEP6kE/oHr0XM93Ja891w8gr/Rcz3clrz0nXdxfZZt+6Meu6Af1oB9QPUXvOVRVCTKivb29NGzYsFJEdP43ffr0pMdKjenTp3d5b4YPH15qb29Peiygyj744IPSrbfeWjrggAM613tjY2NpypQppccff7y0YcOGXf69TZs2dX79pk2bdvk1GzZsKD3++OOlKVOmlBobGzu//oADDijddtttpdbW1lr+aIVSzueRV3reOz2nVvQDqk/P9bwneeq5fgB5p+d63pM89Zx0cX+VD/qhHz3RD2pFP6D69FzPe5KnnusHkHd6ruc9yVPPSRf3V/mgH/rRE/2gVvQDqq/IPYdqayiVSqXuxw5A+jz33HNx3HHHdXmupaUlRo8endBE6dLS0hJjx47t8txzzz0XX/rSlxKaCKi2l156Kc4///xYsWJFREQMGzYspk2bFhdddFGMHDmy17/b1xO61qxZE/fdd1/Mmzcv1q9fHxER48ePjwcffDAmTZpUhZ+m2Ip8Ypqe907PqQX9gNrQcz3vSV56rh9AEei5nvckLz0nXdxf5Yd+6EdP9INa0A+oDT3X857kpef6ARSBnut5T/LSc9LF/VV+6Id+9EQ/qAX9gNoocs+h2hqTHgDKtXDhwi6PJ0yYYDPzEWPGjIkjjjiiy3M7v2dANrW2tsZ1110Xn/vc52LFihUxYsSIeOihh+Ltt9+OW2+9dbeby0qMHDkybr311nj77bfjoYceihEjRsSKFSviT//0T2PGjBnR2tpa9e9JMeh57/ScatIPoFb0vHdZ77l+ABSDnvcu6z0nXdxfkSf60Tv9oJr0A6gVPe9d1nuuHwDFoOe9y3rPSRf3V+SJfvROP6gm/QAgKxwwQGY89dRTXR6feeaZCU2SXju/Jzu/Z0D2vPTSS3HEEUfE7Nmzo6OjI84555x4/fXX49xzz43m5uaaf//m5uY499xz4/XXX49zzjknOjo6YtasWTFhwoR46aWXav79yR893z09pxr0A6glPd+9rPZcPwCKQ893L6s9J13cX5E3+rF7+kE16AdQS3q+e1ntuX4AFIee715We066uL8ib/Rj9/SDatAPALLEAQNkQltbW6xZs6bLc8cdd1xC06TX8ccf3+XxmjVroq2tLaFpgP762c9+FkcddVT88pe/jBEjRsSiRYviJz/5SQwdOrTuswwdOjR+8pOfxKJFi2L48OGxYsWKOOqoo+LRRx+t+yxkl56XR8/pL/0AaknPy5PFnusHQHHoeXmy2HPSxf0VeaMf5dEP+ks/gFrS8/Jksef6AVAcel6eLPacdHF/Rd7oR3n0g/7SDwCyxgEDZMKbb74ZpVKpy3N//Md/nNA06TVu3Lgujzs6OuKtt95KaBqgPx544IH46le/Gu3t7XHKKafE66+/HqeeemrSY8Wpp54aK1asiFNOOSXa29vjrLPOigULFiQ9Fhmh5+XRc/pDP4Ba0/PyZK3n+gFQLHpenqz1nHRxf0Ue6Ud59IP+0A+g1vS8PFnruX4AFIuelydrPSdd3F+RR/pRHv2gP/QDgCxywACZsHLlyi6PR4wYER/72McSmia99tlnnxg+fHiX53Z+74D0W7BgQVx44YXR0dERF154YTz66KOJnFrXk6FDh8ajjz7aOeMFF1xgk0lZ9Lw8ek6l9AOoBz0vT5Z6rh8AxaPn5clSz0kX91fklX6URz+olH4A9aDn5clSz/UDoHj0vDxZ6jnp4v6KvNKP8ugHldIPALLKAQNkwqpVq7o8Hjt2bEKTpN/Op6bZ0EC2PProozF16tSIiPjGN74R8+bNiwEDBiQ8VXcDBgyIefPmxTe+8Y2IiJg6dWr8/d//fcJTkXZ6Xj49p6/0A6gXPS9fFnquHwDFpOfly0LPSRf3V+SZfpRPP+gr/QDqRc/Ll4We6wdAMel5+bLQc9LF/RV5ph/l0w/6Sj8AyDIHDJAJ7777bpfHn/zkJxOaJP0OPPDALo83bNiQ0CRAX7300ktx9tlnR0dHR0ydOjXuuOOOaGhoSHqsHjU0NMQdd9zReZLd1772tXj55ZeTHosU0/Py6Tl9oR9APel5+dLec/0AKC49L1/ae066uL8i7/SjfPpBX+gHUE96Xr6091w/AIpLz8uX9p6TLu6vyDv9KJ9+0Bf6AUDWOWCATGhtbe3yePDgwQlNkn47vzc7v3dAOrW2tsZ5550X7e3tccopp8TcuXNTvbncrqGhIe6999445ZRTor29Pc477zzXHXqk5+XTc8qlH0C96Xn50txz/QAoNj0vX5p7Trq4v6II9KN8+kG59AOoNz0vX5p7rh8Axabn5Utzz0kX91cUgX6UTz8ol34AkAcOGCAT2traujzeY489Epok/Zqbm7s8dqMH2XDTTTfFL3/5yxgxYkTcf//9MWDAgKRHKtuAAQNi/vz5MXz48FixYkXcfPPNSY9ESul5+fSccukHUG96Xr4091w/AIpNz8uX5p6TLu6vKAL9KJ9+UC79AOpNz8uX5p7rB0Cx6Xn50txz0sX9FUWgH+XTD8qlHwDkgQMGyKTGRv90e+K9gex56aWX4vvf/35ERMydOzeGDh2a8ER9t99++8XcuXMjImL27Nnx8ssvJzwRWaBZPfPeUA79ANJAs3qW1vdGPwDYWVqblQbeG8rh/oqico3smfeGcugHkAaa1bO0vjf6AcDO0tqsNPDeUA73VxSVa2TPvDeUQz8AyAt3PgCQoNbW1jj//POjo6MjzjnnnDj11FOTHqlip512Wpx99tnR0dER5513XrfTLgGoHv0AoBL6AQBQXe6vAKiEfgBQCf0AAKgu91cAVEI/AMgTBwwAQILuuOOOWLFiRYwYMSJ+9KMfJT1Ov82ZMydGjBgRK1asiL/6q79KehyA3NIPACqhHwAA1eX+CoBK6AcAldAPAIDqcn8FQCX0A4A8ccAAACRky5Ytcdddd0VExO233x5Dhw5NeKL+Gzp0aHz/+9+PiIi77747tmzZkvBEAPmjHwBUQj8AAKrL/RUAldAPACqhHwAA1eX+CoBK6AcAeeOAAQBIyOOPPx6/+c1vYvjw4XHWWWclPU7VfPWrX41hw4bFr3/963jiiSeSHieV2tvbd/m/AcqhH5AOek7W6AdAd3oO9If7q+LSD6A/9APSQc/JGv0A6E7Pgf5wf1Vc+gH0h35AOug5VI8DBgAgIXfffXdEREydOjWam5sTnqZ6mpubY+rUqRGx42ckYvny5XHllVfGpEmTYsSIEZ3PjxgxIiZNmhRXXnllvPLKKwlOCGSFfkBy9Jws0w+AbfQcqBb3V8WiH0C16AckR8/JMv0A2EbPgWpxf1Us+gFUi35AcvQcasMBAwCQgF/96lfx3HPPRWNjY1x00UVJj1N1F198cTQ0NMSzzz4bb7zxRtLjJOrVV1+NyZMnx+GHHx5z5syJJUuWxIcfftj55x9++GEsWbIk5syZE5/97Gdj8uTJ8eqrryY4MZBm+gHJ0HOyTj8A9ByoLvdXxaEfQDXpByRDz8k6/QDQc6C63F8Vh34A1aQfkAw9h9pywAAAJGDu3LkREXHSSSfFyJEjE56m+kaOHBknnXRSRETcc889CU+TjFKpFLNmzYqJEyfG4sWLy/57ixcvjokTJ8asWbOiVCrVcEIgi/QD6kvPyQv9AIpMz4FacH+Vf/oB1IJ+QH3pOXmhH0CR6TlQC+6v8k8/gFrQD6gvPYf6cMAAACTgiSeeiIiIqVOnJjxJ7Wz/2Z588smEJ6m/UqkUV1xxRcyYMSPa29v7/Pfb29tjxowZccUVV9jUAF3oB9SPnpMn+gEUlZ4DteL+Kt/0A6gV/YD60XPyRD+AotJzoFbcX+WbfgC1oh9QP3oO9ZPrAwZaW1vj6quvjsmTJ8f+++8fgwYNik984hPx+c9/PhYsWFDRBYZ8W716dTQ0NHT5b+DAgXHAAQfEWWedFUuWLOnX65933nnR0NAQq1evrs7AQCb99re/jTfffDMiIj7/+c8nPE3tbP/ZWlpa4ne/+12yw9TZ7Nmz46677ur369x1110xe/bsKkxULHpOXukH1JeeJ0vPq0c/gCLT82TpOXnl/ir/9CNZ+kFe6QfUl54nS8+rRz+AItPzZOk5eeX+Kv/0I1n6QV7pB9SXnkP95PqAgU2bNsU999wTDQ0N8ZWvfCWuvvrqOO200+I3v/lNXHDBBXHSSSdFR0dH0mOSQmPGjIkbb7wxbrzxxpg+fXocfPDBsXDhwvizP/uzeOGFF5IeD8i4ZcuWRUTEQQcdFEOGDEl4mtoZOnRojBo1KiJ2/MxF8Oqrr8YNN9xQtde74YYb4tVXX63a6xWJnpM3+gH1o+fpoef9px9AUel5eug5eeP+Kt/0Iz30g7zRD6gfPU8PPe8//QCKSs/TQ8/JG/dX+aYf6aEf5I1+QP3oOdRXU9ID1NKQIUPi97//feyxxx5dnt+yZUscf/zx8fTTT8c///M/x1e+8pWEJiStxo4dG9/97ne7PDdr1qyYMWNGfOc734l/+7d/S2YwIBe2n744YcKEhCepvYkTJ8bq1atjyZIl8aUvfSnpceri8ssvj/b29qq9Xnt7e1x++eV+oVYBPSdv9APqR8/TQ8/7Tz+AotLz9NBz8sb9Vb7pR3roB3mjH1A/ep4eet5/+gEUlZ6nh56TN+6v8k0/0kM/yBv9gPrRc6ivxqQHqKXGxsZuhwtERDQ1NcVpp50WERGrVq2q91hk1IUXXhgREUuXLu3y/LvvvhvTp0+Pgw46KJqbm2P48OFx1llnxX/91391+bpRo0bF3/zN30TEtlOrGhoaoqGhIY455pi6zA+kx/bryMSJExOepPa2b6J3vnbm1fLly2Px4sVVf93FixfHK6+8UvXXLSI9J8v0A+pDz9NPz/tGP4Ai0vP003OyzP1VfulH+ukHWaYfUB96nn563jf6ARSRnqefnpNl7q/ySz/STz/IMv2A+tBzqL+mpAdIQkdHR/z85z+PiIhDDz004WnImqamHctm/fr18bnPfS5aWlrimGOOia997Wvx1ltvxc9+9rP4x3/8x3jqqafiqKOOioiI6dOnx4MPPhivvPJKfOMb34h99903IrZtdIBi2b7ZKsIJdkXbYD7wwAM1fe0777yzZq9fNHpOFukH1IeeZ4eel0c/gCLS8+zQc7LI/VV+6Ud26AdZpB9QH3qeHXpeHv0AikjPs0PPySL3V/mlH9mhH2SRfkB96DnUXyEOGPjwww/jtttui1KpFBs2bIjnnnsufvWrX8X5558fxx57bNLjkRHz58+PiOjcoEREXHvttdHS0hIzZsyI2267rfP5f/qnf4qvfOUrcf7558cbb7wRjY2NMX369Fi+fHm88sorMX36dBsZKLB33nknIiLGjBmT8CS1N3bs2IjY8TPn3X/8x39k8rWLRM/JMv2A+tDz9NPzvtEPoIj0PP30nCxzf5Vf+pF++kGW6QfUh56nn573jX4ARaTn6afnZJn7q/zSj/TTD7JMP6A+9BzqrzAHDNx0002djxsaGuKb3/xmzJw5M8GpKlMqlWLz5s1Jj1F37e3tdf1+q1atiu9+97sREfH+++/H0qVL4/nnn48RI0bE7bffHhHb/l09/PDDMXTo0Pj2t7/d5e9/+ctfjuOPPz6eeeaZePHFF+Poo4+u6/wf1d7eHu+//35i3x/oqqOjI1pbWyNi2zW9Xuvzo9+nnteEUqkUEREffPBB/O///m80NjbW7XvXW3t7e7z66qs1e/1XX301fv/733c5uTNr9Lxyeo5+5LcfpIue756eVy6JnuuHfkAR6fnu6Xnl7M9xf5Xf+yv92D39qJx+oB/57Qfpoue7p+eV8/vd2tMPIELPy6HnlbM/x/1Vfu+v9GP39KNy+oF+5LcfpIue58PgwYOjoaEh6THog0KsiL333jtKpVJ0dHTEO++8E0888URcf/318R//8R/xT//0T7HPPvskPWLZNm/eHHvvvXfSY+ReS0tLl0MpIiI+8YlPxOLFiztPY/rVr34Vra2t8cUvfjEGDx7c7TW++MUvxjPPPBPLly9PdEMzb968mDdvXmLfH+hZUifYjRgxIpHvm6XeplFbW1vsu+++SY+RKXpOXukHZJee952eV49+AFSHnvednpNX7q/oC/3oO/0gr/QDskvP+07Pq0c/AKpDz/tOz8kr91f0hX70nX6QV/oB2aXn9bFp06bYa6+9kh6DPijUMTKNjY1x4IEHxqWXXhr33XdfvPjii3HrrbcmPRYpdOKJJ0apVIpSqRTr1q2L22+/PdatWxdTpkyJTZs2RUTExo0bI6LnG7U//MM/7PJ1AEB96TkAZJ+eA0D26TkAldAPAMg+PQeA7NNzACqhHwAA2dCU9ABJOeGEEyIi4l//9V+THaSPBg8e3HlDXSRXXXVVYqd+DRs2LL75zW/G73//+7jlllvi29/+dvz1X/9150lMa9eu3eXf+5//+Z+ISP7EpmnTpsUdd9yR6AzADh0dHZ3XhZaWlrqdJvf+++93fq+1a9fW7USotWvXdp7Ut3HjxmhszO/ZRu3t7TFixIj48MMPa/L6zc3NsXbt2mhqyu7tm55XTs/Rj/z2g3TR893T88ol0XP90A8oIj3fPT2vnP057q/ye3+lH7unH5XTD/Qjv/0gXfR89/S8cn6/W3v6AUToeTn0vHL257i/yu/9lX7snn5UTj/Qj/z2g3TR83wYPHhw0iPQR4VdEe+8805ERAwcODDhSfqmoaGhbjcFaZKGz+n666+PBx54IO6+++6YPn16fOpTn4pBgwbFyy+/HJs3b+52Adx+eMVnP/vZzucGDBgQERFbt26t19gxcODAQv6bgTQbNGhQtLa2JnZN32uvver2fRsaGiIiYs8994yPfexjdfmeSTrssMNiyZIlNXvtP/iDP6jJa9eLnldOz4nQD6gXPe+dnlcuqZ7rB1BEet47Pa+c/TkR7q/yTD96px+V0w8i9APqRc97p+eV8/vd2tMPYDs9752eV87+nAj3V3mmH73Tj8rpBxH6AfWi51B/uT5GZsWKFbF58+Zuz2/evDmuvvrqiIj48pe/XO+xyKg999wzrr322mhvb4/vfe97sccee8TZZ58d7777bsycObPL1/785z+Pp556KsaOHRuf//znO58fMmRIRES8/fbbdZ0dSJf9998/IradYJd3q1atiogdP3Pefe5zn8vkaxeJnpNl+gH1oefpp+d9ox9AEel5+uk5Web+Kr/0I/30gyzTD6gPPU8/Pe8b/QCKSM/TT8/JMvdX+aUf6acfZJl+QH3oOdRfrg8YeOSRR+ITn/hEfPnLX47LLrssrrvuujj33HPjj/7oj+LnP/95HH300XHVVVclPSYZctFFF8X+++8fDz30ULS0tMTs2bNj9OjRccstt8Sxxx4b119/fZxzzjlx8sknx+DBg2PBggXR2LhjmX3pS1/qfJ0ZM2bELbfcEn/7t3+b1I8DJGTChAkREbF06dKEJ6m97T/j9p857y644IJMvnbR6DlZpR9QH3qeDXpePv0AikjPs0HPySr3V/mlH9mgH2SVfkB96Hk26Hn59AMoIj3PBj0nq9xf5Zd+ZIN+kFX6AfWh51B/uT5g4KSTToqvfe1r8d///d/x8MMPxw9/+MP453/+5zjssMPi3nvvjX/5l3+JPffcM+kxyZBBgwbFjBkzYsuWLXHTTTfFsGHD4he/+EVceeWV0dLSEj/4wQ/imWeeiVNPPTV+8YtfxFFHHdXl7//5n/95fP/734+IiB/+8Ifxne98J+6///4kfhQgQds3W0uWLEl4ktor2gbzs5/9bBx99NFVf92jjz46PvOZz1T9dYtKz8kq/YD60PNs0PPy6QdQRHqeDXpOVrm/yi/9yAb9IKv0A+pDz7NBz8unH0AR6Xk26DlZ5f4qv/QjG/SDrNIPqA89h/prSnqAWpo4cWJMnDgx6THIkFGjRkWpVOr1ay6//PK4/PLLOx/vt99+ceedd8add95Z1vf41re+Fd/61rf6NSeQbdvbVIQT7LZvoovU4x//+McxceLEaG9vr8rrDRw4MO66666qvFZR6Dl5pR9QP3qePD2vHv0AikrPk6fn5JX7q3zTj+TpB3mlH1A/ep48Pa8e/QCKSs+Tp+fklfurfNOP5OkHeaUfUD96DvXVmPQAAFA0RxxxREREvPXWW/Hee+8lPE3tbNiwIVavXh0RO37mIjjssMPi5ptvrtrr3XzzzfHpT3+6aq8HZJd+QP3oOXmiH0BR6TlQK+6v8k0/gFrRD6gfPSdP9AMoKj0HasX9Vb7pB1Ar+gH1o+dQXw4YAIA6+/jHPx6jR4+OiIgXX3wx4WlqZ/vPNmbMmNh3332THabOrr322vj617/e79e5/PLL49prr63CREAe6AfUl56TF/oBFJmeA7Xg/ir/9AOoBf2A+tJz8kI/gCLTc6AW3F/ln34AtaAfUF96DvXjgAEASMDJJ58cERHz589PeJLa2f6znXTSSQlPUn8NDQ0xZ86cmDlzZgwcOLDPf3/gwIExc+bM+NGPfhQNDQ01mBDIKv2A+tFz8kQ/gKLSc6BW3F/lm34AtaIfUD96Tp7oB1BUeg7UivurfNMPoFb0A+pHz6F+HDAAAAm49NJLIyLiySefjDVr1iQ8TfWtXr06nnzyyYjY8bMWTUNDQ1x33XWxZMmSOProo8v+e0cffXQsXbo0rrvuOpsZoBv9gPrSc/JCP4Ai03OgFtxf5Z9+ALWgH1Bfek5e6AdQZHoO1IL7q/zTD6AW9APqS8+hPhwwAAAJOPjgg+PYY4+Njo6OuO+++5Iep+ruu+++KJVKcdxxx8XBBx+c9DiJOuyww+KFF16I5cuXx5VXXhmTJk2KPfbYo/PPm5ubY9KkSXHllVfG8uXL44UXXohPf/rTCU4MpJl+QDL0nKzTDwA9B6rL/VVx6AdQTfoBydBzsk4/APQcqC73V8WhH0A16QckQ8+htpqSHgAAiuqyyy6L5557LubPnx833HBDNDc3Jz1SVbS1tcX8+fMjYtvPyDaf+cxn4s4774yIiC1btsTGjRsjImKfffaJpia3ZED59AOSo+dkmX4AbKPnQLW4vyoW/QCqRT8gOXpOlukHwDZ6DlSL+6ti0Q+gWvQDkqPnUBuNSQ8AAEU1ZcqUOOCAA2LdunXxyCOPJD1O1fzd3/1drF+/Pg488MA4+eSTkx4nlZqammLIkCExZMgQmxmgz/QD0kHPyRr9AOhOz4H+cH9VXPoB9Id+QDroOVmjHwDd6TnQH+6viks/gP7QD0gHPYfqccAAACSkqakpvv71r0dExLe+9a3YsGFDwhP134YNG+Kaa66JiG2n17lZB6g+/QCgEvoBAFBd7q8AqIR+AFAJ/QAAqC73VwBUQj8AyBsHDABAgq6++uoYP358rF27Nq688sqkx+m3K664ItauXRvjx4+Pq6++OulxAHJLPwCohH4AAFSX+ysAKqEfAFRCPwAAqsv9FQCV0A8A8sQBAwCQoObm5liwYEE0NjbGT3/60/iHf/iHpEeq2KJFi+Lhhx+OAQMGxIMPPhjNzc1JjwSQW/oBQCX0AwCgutxfAVAJ/QCgEvoBAFBd7q8AqIR+AJAnDhggkzo6OpIeIbW8N5A9Rx55ZFxzzTUREXHJJZfEhg0bEp6o795999245JJLIiLimmuuiUmTJiU8EVmgWT3z3lAO/QDSQLN6ltb3Rj8A2Flam5UG3hvK4f6KonKN7Jn3hnLoB5AGmtWztL43+gHAztLarDTw3lAO91cUlWtkz7w3lEM/AMgLBwyQCTufgvThhx8mNEn6tbW1dXk8aNCghCYB+uLGG2+M8ePHx9q1a+PCCy+MrVu3Jj1S2bZu3RpTp06NdevWxfjx4+PGG29MeiRSSs/Lp+eUSz+AetPz8qW55/oBUGx6Xr4095x0cX9FEehH+fSDcukHUG96Xr4091w/AIpNz8uX5p6TLu6vKAL9KJ9+UC79ACAPHDBAJux8U7558+aEJkm/nd8bGxrIhkGDBsWCBQti4MCB8dhjj8XFF18cpVIp6bF2q1QqxcUXXxyPPfZY7LHHHvHggw92+yUUbKfn5dNzyqUfQL3pefnS3HP9ACg2PS9fmntOuri/ogj0o3z6Qbn0A6g3PS9fmnuuHwDFpuflS3PPSRf3VxSBfpRPPyiXfgCQBw4YIBP222+/Lo/ffvvthCZJv1//+tddHg8dOjShSYC+OvLII+Phhx+OxsbGuP/+++Oqq65K9SazVCrFVVddFffff380NjbGww8/HJMmTUp6LFJMz8un5/SFfgD1pOflS3vP9QOguPS8fGnvOeni/oq804/y6Qd9oR9APel5+dLec/0AKC49L1/ae066uL8i7/SjfPpBX+gHAFnngAEyYezYsV0er1q1KqFJ0m/lypVdHo8bNy6hSYBKnHHGGTF//vyIiLjzzjtj2rRpsXXr1oSn6m7r1q0xderUuPPOOyMi4v7774/TTz894alIOz0vn57TV/oB1Iuely8LPdcPgGLS8/Jloeeki/sr8kw/yqcf9JV+APWi5+XLQs/1A6CY9Lx8Weg56eL+ijzTj/LpB32lHwBkmQMGyISdb8rXrl0bGzduTGia9Nq4cWOsW7euy3M2NJA9559/fjzwwAOdJ9mdccYZsWHDhqTH6vTuu+/GGWec0TnjggUL4rzzzkt6LDJAz8uj51RKP4B60PPyZKnn+gFQPHpeniz1nHRxf0Ve6Ud59INK6QdQD3peniz1XD8AikfPy5OlnpMu7q/IK/0oj35QKf0AIKscMEAmjB49OhoaGro8t/PJYHR/TxobG+Oggw5KaBqgP84///x45JFHYuDAgfHYY4/F+PHjY9GiRUmPFYsWLYpDDjkkHnvssRg4cGAsXLjQ5pKy6Xl59Jz+0A+g1vS8PFnruX4AFIuelydrPSdd3F+RR/pRHv2gP/QDqDU9L0/Weq4fAMWi5+XJWs9JF/dX5JF+lEc/6A/9ACCLHDBAJjQ3N8fIkSO7PPfss88mNE16PfPMM10ejxw5MpqbmxOaBuivM844I/793/89/uRP/iTWrVsXp59+evzFX/xFIqfZbdiwIc4555w4/fTTY926dTF+/Ph48cUX4/TTT6/7LGSXnpdHz+kv/QBqSc/Lk8We6wdAceh5ebLYc9LF/RV5ox/l0Q/6Sz+AWtLz8mSx5/oBUBx6Xp4s9px0cX9F3uhHefSD/tIPALLGAQNkxoknntjl8cKFCxOaJL12fk92fs+A7DnyyCNj2bJlcd1110VjY2P89Kc/jUMOOSQeeuihaGtrq/n3b2tri4ceeigOOeSQePjhh6OxsTFmzJgRS5cujUmTJtX8+5M/er57ek416AdQS3q+e1ntuX4AFIee715We066uL8ib/Rj9/SDatAPoJb0fPey2nP9ACgOPd+9rPacdHF/Rd7ox+7pB9WgHwBkSUOpVColPQSU47nnnovjjjuuy3MtLS0xevTohCZKl5aWlhg7dmyX55577rn40pe+lNBEQLW9/PLLcd5558WKFSsiImLYsGExderUuPjii7udKrmz999/P/bee++IiNi0aVPstddevX79mjVr4t5774358+fH+vXrIyJi/Pjx8eCDD9pY0i963js9pxb0A6g2Pe9dXnquHwD5pue9y0vPSRf3V+SBfvROP6gF/QCqTc97l5ee6wdAvul57/LSc9LF/RV5oB+90w9qQT8ASLvGpAeAcn3hC1+IYcOGdXluzpw5CU2TPj/+8Y+7PB4+fHhMnjw5oWmAWpg0aVIsXbo0brvttjjggANi/fr1MXPmzBg9enRMmTIlHn/88Xjvvfcqfv333nsvHn/88ZgyZUocdNBBMXPmzFi/fn0ceOCBcdttt8WyZctsLuk3Pe+dnlML+gFUm573Li891w+AfNPz3uWl56SL+yvyQD96px/Ugn4A1abnvctLz/UDIN/0vHd56Tnp4v6KPNCP3ukHtaAfAKRdQ6lUKiU9BJTr0ksvjblz53Y+HjBgQCxfvjwOPfTQBKdK3muvvRaHH354bN26tfO5Sy65JO65554EpwJqacuWLfHEE0/E3XffHc8++2yXPxs1alRMnDgxJkyYEBMmTIixY8dGqVSKMWPGRMS2ExYbGhpi1apVsXTp0li6dGksWbIkVq9e3eV1jjvuuLjsssvi5JNPjqampnr9aBSAnu+anlMP+gFUi57vWl57rh8A+aTnu5bXnpMu7q/IMv3YNf2gHvQDqBY937W89lw/APJJz3ctrz0nXdxfkWX6sWv6QT3oBwBp5IABMqWlpSUOOeSQaGtr63xu8uTJ8fzzz0djY2OCkyWno6MjjjnmmFi8eHHnc83NzfH666933kwC+fbGG2/EPffcE08++WS0tLT067XGjBkTJ510Ulx66aVx8MEHV2lC6ErPu9NzkqAfQH/oeXdF6bl+AOSHnndXlJ6TLu6vyBr96E4/SIJ+AP2h590Vpef6AZAfet5dUXpOuri/Imv0ozv9IAn6AUBaOGCAzLnhhhvie9/7Xpfnpk2bFnPnzi3cpqajoyMuueSSmDdvXpfnb7jhhrjpppsSmgpI0u9+97tYtmxZLFmypPN0unfeeSc++OCDLl+35557xv777x8TJkzoPO3uiCOOiH333TeZwSkcPd9Bz0kD/QAqoec7FLXn+gGQfXq+Q1F7Trq4vyIr9GMH/SAN9AOohJ7vUNSe6wdA9un5DkXtOeni/oqs0I8d9IM00A8AkuSAATJn8+bNMX78+FizZk2X54u2qelpMzNq1KhYsWJF7LnnnglNBqRRR0dH/O53v4uIiH333bcw10rSS8+30XPSTj+A3uj5NnrenX4AZIeeb6PnpJ37K9JGP7bRD9JOP4De6Pk2et6dfgBkh55vo+eknfsr0kY/ttEP0k4/AKgHdSFzBg8eHPfdd180NTV1eX7evHlxzDHHxGuvvZbQZPXz2muvxTHHHNNtM9PU1BT33nuvzQzQTWNjYwwZMiSGDBlic0kq6Lmekw36AfRGz/W8J/oBkB16rudkg/sr0kY/9INs0A+gN3qu5z3RD4Ds0HM9JxvcX5E2+qEfZIN+AFAPCkMmnXDCCfHII49029QsXrw4Dj/88LjqqquipaUloelqp6WlJa666qo4/PDDY/HixV3+rKmpKR555JE44YQTEpoOAPpGz/UcgOzTcz0HIPv0XM8BKqEf+gFA9um5ngOQfXqu5wCV0A/9AACIiGgolUqlpIeASi1atCjOOuus2LJlyy7//Igjjogzzzwzjj/++Bg3blzss88+dZ6wfzZu3BgrV66MZ555JhYuXBjLli3b5ddt38ycdtppdZ4QAPpPz7fRcwCyTM+30XMAskzPt9FzgL7Rj230A4As0/Nt9ByALNPzbfQcoG/0Yxv9AACKygEDZN7TTz8dF198caxevXq3Xzt8+PAYN25cHHjggTF48OBobm6OxsbG2g9Zho6Ojmhra4vNmzfHr3/961i5cmWsW7dut39v1KhRce+99zopDYBM03M9ByD79FzPAcg+PddzgEroh34AkH16rucAZJ+e6zlAJfRDPwCA4nLAALnwwQcfxKxZs2L27NnR1taW9Dh10dzcHNdee21cd911seeeeyY9DgD0m57rOQDZp+d6DkD26bmeA1RCP/QDgOzTcz0HIPv0XM8BKqEf+gEAFJMDBsiVlpaW+MEPfhCPPvporF+/PulxamL48OFx+umnxze/+c0YM2ZM0uMAQNXpOQBkn54DQPbpOQCV0A8AyD49B4Ds03MAKqEfAADF4oABcmnLli3xwgsvxMKFC+Opp56K1atXR1b/qTc0NMSoUaPixBNPjDPPPDMmT54cTU1NSY8FADWn5wCQfXoOANmn5wB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          },
          "metadata": {}
        }
      ],
      "source": [
        "import pennylane as qml\n",
        "import numpy as np\n",
        "\n",
        "dev = qml.device('default.qubit', wires=4)\n",
        "n_qubits=4\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def circuit(parameters):\n",
        "    qml.StronglyEntanglingLayers(weights=parameters, wires=range(4))\n",
        "    return qml.expval(qml.PauliZ(0))\n",
        "\n",
        "# 8 Layers CNOT\n",
        "shape = qml.StronglyEntanglingLayers.shape(n_layers=8, n_wires=4)\n",
        "weights = np.random.random(size=shape)\n",
        "print(qml.draw_mpl(circuit, expansion_strategy=\"device\")(weights))"
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "wfhLvigpFJ8N"
      },
      "execution_count": 31,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import pennylane as qml\n",
        "import numpy as np\n",
        "\n",
        "dev = qml.device('default.qubit', wires=4)\n",
        "n_qubits=4\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def circuit(parameters):\n",
        "    qml.StronglyEntanglingLayers(weights=parameters, wires=range(4), imprimitive=qml.ops.CZ)\n",
        "    return qml.expval(qml.PauliZ(0))\n",
        "\n",
        "# 9 Layers CZ\n",
        "shape = qml.StronglyEntanglingLayers.shape(n_layers=9, n_wires=4)\n",
        "weights = np.random.random(size=shape)\n",
        "print(qml.draw_mpl(circuit, expansion_strategy=\"device\")(weights))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 281
        },
        "id": "Xfb3DDtEFIQr",
        "outputId": "f24f8434-9f44-4c7d-c36b-1f82fa12decc"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(<Figure size 4600x500 with 1 Axes>, <Axes: >)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 4600x500 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import pennylane as qml\n",
        "import numpy as np\n",
        "\n",
        "dev = qml.device('default.qubit', wires=4)\n",
        "n_qubits=4\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def circuit(parameters):\n",
        "    qml.StronglyEntanglingLayers(weights=parameters, wires=range(4), imprimitive=qml.ops.CY)\n",
        "    return qml.expval(qml.PauliZ(0))\n",
        "\n",
        "#8 Layers CY\n",
        "shape = qml.StronglyEntanglingLayers.shape(n_layers=8, n_wires=4)\n",
        "weights = np.random.random(size=shape)\n",
        "print(qml.draw_mpl(circuit, expansion_strategy=\"device\")(weights))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 310
        },
        "id": "GNoNYS89FPQN",
        "outputId": "8ef787a2-8c8b-4828-e3f8-d1ade25552cb"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(<Figure size 4100x500 with 1 Axes>, <Axes: >)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 4100x500 with 1 Axes>"
            ],
            "image/png": 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}