02 - breast_cancer_vqc.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "from IPython.display import clear_output\n",
    "from qiskit import Aer\n",
    "from qiskit.circuit.library import ZZFeatureMap\n",
    "from qiskit.utils import QuantumInstance, algorithm_globals\n",
    "from qiskit_machine_learning.kernels import QuantumKernel\n",
    "from qiskit.algorithms.optimizers import COBYLA\n",
    "from qiskit_machine_learning.datasets import breast_cancer\n",
    "from qiskit.circuit.library import RealAmplitudes, EfficientSU2, ZZFeatureMap, TwoLocal\n",
    "from sklearn.preprocessing import OneHotEncoder\n",
    "from qiskit_machine_learning.algorithms.classifiers import VQC\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [10, 7]\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "seed = 12345\n",
    "algorithm_globals.random_seed = seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 426,
       "width": 603
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dimension = 4\n",
    "\n",
    "training_feature_array, training_label_array, test_feature_array, test_label_array = breast_cancer(\n",
    "    training_size=20,\n",
    "    test_size=5,\n",
    "    n=dimension,\n",
    "    plot_data=True,\n",
    "    one_hot=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.10389794,  0.17924751, -0.67583766,  0.55657289],\n",
       "       [-0.53086407, -0.4573074 , -0.17817215,  0.40169334],\n",
       "       [-0.21040012, -0.42492679, -0.16556034, -0.00830156],\n",
       "       [-0.02115007, -0.46893251, -0.14647214,  0.31570857],\n",
       "       [-0.20818445, -0.4872755 ,  0.03765427,  0.10010814],\n",
       "       [-0.82652554, -0.4336021 , -0.28307103,  0.32561542],\n",
       "       [-0.73291597, -0.5064755 , -0.35806246,  0.53985827],\n",
       "       [-0.90409716, -0.00762145, -0.43410622, -0.03133913],\n",
       "       [-0.7863327 , -0.3957758 , -0.37520181,  0.27611366],\n",
       "       [-0.53303533, -0.39673394, -0.44739586,  0.06879961]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_feature_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ohe_transformer = OneHotEncoder(sparse = False)\n",
    "training_label_array = ohe_transformer.fit_transform(training_label_array.reshape(-1,1))\n",
    "training_label_array[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 2)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "training_label_array.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 4)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "training_feature_array.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features = training_feature_array.shape[1]\n",
    "features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = COBYLA(maxiter = 120, tol = 0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def callback_graph(weights, obj_func_eval):\n",
    "    clear_output(wait = True)\n",
    "    objective_func_vals.append(obj_func_eval)\n",
    "    plt.title(\"Objective function value against iteration\")\n",
    "    plt.xlabel(\"Iteration\")\n",
    "    plt.ylabel(\"Objective function value\")\n",
    "    plt.plot(range(len(objective_func_vals)), objective_func_vals)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 267.197x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {
      "image/png": {
       "height": 214,
       "width": 216
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ZZ_feature_map = ZZFeatureMap(feature_dimension = features, reps = 1, entanglement = \"full\")\n",
    "ZZ_feature_map.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1591.6x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {
      "image/png": {
       "height": 441,
       "width": 1216
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ZZ_feature_map.decompose().draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_qubits = features\n",
    "#variational_circ = RealAmplitudes(num_qubits = num_qubits, reps = 4, entanglement = \"full\")\n",
    "variational_circ = EfficientSU2(num_qubits = num_qubits, reps = 4, entanglement = \"full\")\n",
    "#variational_circ = TwoLocal(ZZ_feature_map.num_qubits, ['ry', 'rz'], 'cz', reps=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 628.397x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 28,
     "metadata": {
      "image/png": {
       "height": 214,
       "width": 488
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "variational_circ.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1591.6x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 29,
     "metadata": {
      "image/png": {
       "height": 441,
       "width": 1216
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "variational_circ.decompose().draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = Aer.get_backend('statevector_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "quantum_instance = QuantumInstance(backend, \n",
    "                                   shots = 1024, \n",
    "                                   seed_simulator = algorithm_globals.random_seed, \n",
    "                                   seed_transpiler = algorithm_globals.random_seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "40"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "variational_circ.num_parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "initial_point = algorithm_globals.random.random(variational_circ.num_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "vqc = VQC(feature_map = ZZ_feature_map,\n",
    "         ansatz = variational_circ,\n",
    "         optimizer = optimizer,\n",
    "         quantum_instance = quantum_instance,\n",
    "         initial_point = initial_point,\n",
    "         callback = callback_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "start = time.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.91722314e-01, -4.80476381e-01, -5.50289496e-01,\n",
       "         6.28662525e-01],\n",
       "       [-8.93167493e-02, -6.90472760e-01, -3.44734738e-01,\n",
       "         2.43090696e-01],\n",
       "       [-5.01242223e-01, -3.84046326e-01, -6.61258082e-01,\n",
       "         9.10072436e-02],\n",
       "       [-4.52465569e-02, -6.29986060e-02, -5.88688599e-01,\n",
       "         3.39596582e-01],\n",
       "       [-3.65034765e-01, -4.96668601e-01, -2.03931977e-01,\n",
       "         5.61487343e-01],\n",
       "       [-4.43185748e-01, -5.91643538e-01, -2.91184516e-01,\n",
       "         4.30100319e-02],\n",
       "       [-4.14652398e-01, -2.27906371e-01, -6.99296793e-01,\n",
       "         3.22072688e-01],\n",
       "       [ 1.80708674e-01, -7.91194568e-01, -2.92543012e-01,\n",
       "         4.96169150e-02],\n",
       "       [-5.91668778e-02, -8.75079606e-04, -3.12873418e-01,\n",
       "         3.58855267e-01],\n",
       "       [ 1.77020707e-01, -8.07823025e-01, -6.13856729e-02,\n",
       "        -1.88141966e-01],\n",
       "       [-3.36560832e-01, -1.71919846e-01, -5.85343899e-01,\n",
       "         4.11087962e-01],\n",
       "       [ 4.35619573e-01, -1.08787534e-01, -5.39405867e-01,\n",
       "         5.98725982e-01],\n",
       "       [ 3.69755604e-01, -8.12622486e-01, -4.13304198e-01,\n",
       "         1.11932790e-01],\n",
       "       [ 6.53567209e-01, -3.02768895e-02,  5.52204930e-01,\n",
       "        -3.64615274e-01],\n",
       "       [-4.11899710e-02, -4.52141139e-01, -5.93873534e-01,\n",
       "         1.38676049e-01],\n",
       "       [-4.97422037e-01, -1.14413144e-01, -6.15572093e-01,\n",
       "         4.21262936e-01],\n",
       "       [-5.13358689e-01, -3.05153633e-01, -6.31421990e-01,\n",
       "         1.04331705e-01],\n",
       "       [-3.16661686e-01, -7.26526139e-01, -2.99892080e-01,\n",
       "        -2.37007986e-02],\n",
       "       [-3.50475509e-01, -5.08564098e-01, -1.92869685e-01,\n",
       "         3.99945140e-03],\n",
       "       [-3.07041694e-01, -1.93485539e-01, -7.48493900e-02,\n",
       "         6.00569079e-02],\n",
       "       [-8.03815886e-01, -1.74967364e-01,  2.15352851e-02,\n",
       "        -7.18723077e-02],\n",
       "       [-8.33344797e-01, -2.58764992e-01, -2.63845139e-01,\n",
       "         1.75696696e-01],\n",
       "       [-7.07308042e-01, -2.90544628e-01, -4.49934229e-01,\n",
       "         3.25719682e-02],\n",
       "       [-7.90087624e-01, -3.31308500e-01, -2.83539159e-01,\n",
       "         1.91376844e-01],\n",
       "       [-6.75996857e-01, -5.02822220e-01, -4.10822977e-01,\n",
       "         5.40926858e-02],\n",
       "       [-6.75474251e-01, -1.51404411e-01, -5.24778319e-01,\n",
       "         2.06233843e-02],\n",
       "       [-7.90419792e-01, -3.52277000e-01, -3.99783469e-01,\n",
       "         2.43916536e-01],\n",
       "       [-7.81505545e-01, -4.13535708e-01, -4.84528909e-01,\n",
       "        -5.46757873e-02],\n",
       "       [-7.62120844e-01, -4.08815693e-01, -4.80405043e-01,\n",
       "         1.08126501e-01],\n",
       "       [-7.43048029e-01, -3.68900937e-01, -4.19519785e-01,\n",
       "         2.11936100e-01],\n",
       "       [-9.22751148e-01, -5.76282316e-01,  1.73161515e-01,\n",
       "         9.74653572e-01],\n",
       "       [-7.45934254e-01, -5.03519894e-01, -3.00143427e-01,\n",
       "         2.60127401e-01],\n",
       "       [-6.75058007e-01, -3.92931884e-01, -2.62577431e-01,\n",
       "         3.08683842e-01],\n",
       "       [-7.67052897e-01, -5.17679866e-01, -3.36537055e-01,\n",
       "         2.05081111e-01],\n",
       "       [-7.00484716e-01, -3.60672662e-01, -3.94308100e-01,\n",
       "         2.26286926e-01],\n",
       "       [-3.60647852e-01, -1.78714416e-01, -2.53873700e-01,\n",
       "        -1.40042534e-01],\n",
       "       [-8.33014242e-01, -2.90702034e-01, -5.05171180e-01,\n",
       "         3.04169701e-02],\n",
       "       [-7.63352187e-01, -5.36800444e-01, -4.79578709e-01,\n",
       "         1.88978263e-01],\n",
       "       [-7.26604651e-01, -5.39254657e-01, -3.58775711e-01,\n",
       "        -6.16985893e-02],\n",
       "       [-6.18447656e-01, -1.82528566e-01, -4.22460600e-01,\n",
       "        -5.49846161e-02]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "training_feature_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.10389794,  0.17924751, -0.67583766,  0.55657289],\n",
       "       [-0.53086407, -0.4573074 , -0.17817215,  0.40169334],\n",
       "       [-0.21040012, -0.42492679, -0.16556034, -0.00830156],\n",
       "       [-0.02115007, -0.46893251, -0.14647214,  0.31570857],\n",
       "       [-0.20818445, -0.4872755 ,  0.03765427,  0.10010814],\n",
       "       [-0.82652554, -0.4336021 , -0.28307103,  0.32561542],\n",
       "       [-0.73291597, -0.5064755 , -0.35806246,  0.53985827],\n",
       "       [-0.90409716, -0.00762145, -0.43410622, -0.03133913],\n",
       "       [-0.7863327 , -0.3957758 , -0.37520181,  0.27611366],\n",
       "       [-0.53303533, -0.39673394, -0.44739586,  0.06879961]])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_feature_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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S+/3H+rukz8qbF5byMcbjnHvKzJb7j3u+pNdLOijpt5L+0zn3corHDQAAMCCWYOEgAAAAAAAAIGswEwwAAAAAAABZjxAMAAAAAAAAWY8QDAAAAAAAAFmPEAwAAAAAAABZjxAMAAAAAAAAWY8QDAAAAAAAAFmPEAwAAAAAAABZjxAMAAAAAAAAWY8QDAAAAAAAAFmPEAwAAAAAAABZjxAMAAAAAAAAWY8QDAAAAAAAAFmPEAwAAAAAAABZjxAMAAAAAAAAWY8QDAAAAAAAAFmPEAwAAAAAAABZjxAMAAAAAAAAWe//A0E/kvHPofxAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 440,
       "width": 608
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time elapsed:  150.56133842468262\n"
     ]
    }
   ],
   "source": [
    "objective_func_vals = []\n",
    "\n",
    "vqc.fit(training_feature_array, training_label_array)\n",
    "\n",
    "elapsed = time.time() - start\n",
    "\n",
    "print(\"Time elapsed: \", elapsed)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing accuracy: 0.70\n"
     ]
    }
   ],
   "source": [
    "test_label_array_temp = ohe_transformer.fit_transform(test_label_array.reshape(-1,1))\n",
    "\n",
    "score = vqc.score(test_feature_array, test_label_array_temp)\n",
    "\n",
    "print(f\"Testing accuracy: {score:0.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Testing accuracy: 0.88\n"
     ]
    }
   ],
   "source": [
    "score = vqc.score(training_feature_array, training_label_array)\n",
    "\n",
    "print(f\"Testing accuracy: {score:0.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
       "       [0., 1.],\n",
       "       [1., 0.],\n",
       "       [1., 0.],\n",
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     "execution_count": 41,
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   "outputs": [],
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