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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"# PyTorch qGAN Implementation\n",
"\n",
"\n",
"## Overview\n",
"\n",
"This tutorial introduces step-by-step how to build a PyTorch-based Quantum Generative Adversarial Network algorithm.\n",
"\n",
"The tutorial is structured as follows:\n",
"\n",
"1. [Introduction](#1.-Introduction)\n",
"2. [Data and Represtation](#2.-Data-and-Representation)\n",
"3. [Definitions of the Neural Networks](#3.-Definitions-of-the-Neural-Networks)\n",
"4. [Setting up Parameters for the Training Loop](#4.-Setting-up-the-Training-Loop)\n",
"5. [Model Training](#5.-Model-Training)\n",
"6. [Results: Cumulative Density Functions](#6.-Results:-Cumulative-Density-Functions)\n",
"7. [Conclusion](#7.-Conclusion)\n",
"\n",
"## 1. Introduction\n",
"\n",
"The qGAN \\[1\\] is a hybrid quantum-classical algorithm used for generative modeling tasks. The algorithm uses the interplay of a quantum generator $G_{\\theta}$, i.e., an ansatz (parametrized quantum circuit), and a classical discriminator $D_{\\phi}$, a neural network, to learn the underlying probability distribution given training data.\n",
"\n",
"The generator and discriminator are trained in alternating optimization steps, where the generator aims at generating probabilities that will be classified by the discriminator as training data values (i.e, probabilities from the real training distribution), and the discriminator tries to differentiate between original distribution and probabilities from the generator (in other words, telling apart the real and generated distributions). The final goal is for the quantum generator to learn a representation for the target probability distribution.\n",
"The trained quantum generator can, thus, be used to load a quantum state which is an approximate model of the target distribution.\n",
"\n",
"**References:**\n",
"\n",
"\\[1\\] Zoufal et al., [Quantum Generative Adversarial Networks for learning and loading random distributions](https://www.nature.com/articles/s41534-019-0223-2)\n",
"\n",
"### 1.1. qGANs for Loading Random Distributions\n",
"\n",
"Given $k$-dimensional data samples, we employ a quantum Generative Adversarial Network (qGAN) to learn a random distribution and to load it directly into a quantum state:\n",
"\n",
"$$ \\big| g_{\\theta}\\rangle = \\sum_{j=0}^{2^n-1} \\sqrt{p_{\\theta}^{j}}\\big| j \\rangle $$\n",
"\n",
"where $p_{\\theta}^{j}$ describe the occurrence probabilities of the basis states $\\big| j\\rangle$.\n",
"\n",
"The aim of the qGAN training is to generate a state $\\big| g_{\\theta}\\rangle$ where $p_{\\theta}^{j}$, for $j\\in \\left\\{0, \\ldots, {2^n-1} \\right\\}$, describe a probability distribution that is close to the distribution underlying the training data $X=\\left\\{x^0, \\ldots, x^{k-1} \\right\\}$.\n",
"\n",
"For further details please refer to [Quantum Generative Adversarial Networks for Learning and Loading Random Distributions](https://arxiv.org/abs/1904.00043) _Zoufal, Lucchi, Woerner_ \\[2019\\].\n",
"\n",
"For an example of how to use a trained qGAN in an application, the pricing of financial derivatives, please see the\n",
"[Option Pricing with qGANs](https://qiskit.org/ecosystem/finance/tutorials/10_qgan_option_pricing.html) tutorial.\n",
"\n",
"## 2. Data and Representation\n",
"\n",
"First, we need to load our training data $X$.\n",
"\n",
"In this tutorial, the training data is given by a 2D multivariate normal distribution.\n",
"\n",
"The goal of the generator is to learn how to represent such distribution, and the trained generator should correspond to an $n$-qubit quantum state\n",
"\\begin{equation}\n",
"|g_{\\text{trained}}\\rangle=\\sum\\limits_{j=0}^{k-1}\\sqrt{p_{j}}|x_{j}\\rangle,\n",
"\\end{equation}\n",
"where the basis states $|x_{j}\\rangle$ represent the data items in the training data set\n",
"$X={x_0, \\ldots, x_{k-1}}$ with $k\\leq 2^n$ and $p_j$ refers to the sampling probability\n",
"of $|x_{j}\\rangle$.\n",
"\n",
"To facilitate this representation, we need to map the samples from the multivariate\n",
"normal distribution to discrete values. The number of values that can be represented\n",
"depends on the number of qubits used for the mapping.\n",
"Hence, the data resolution is defined by the number of qubits.\n",
"If we use $3$ qubits to represent one feature, we have $2^3 = 8$ discrete values.\n",
"\n",
"We first begin by fixing seeds in the random number generators for reproducibility of the outcome in this tutorial."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"import torch\n",
"from qiskit.utils import algorithm_globals\n",
"\n",
"algorithm_globals.random_seed = 123456\n",
"_ = torch.manual_seed(123456) # suppress output"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"We fix the number of dimensions, the discretization number and compute the number of qubits required as $2^3 = 8$."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"num_dim = 2\n",
"num_discrete_values = 8\n",
"num_qubits = num_dim * int(np.log2(num_discrete_values))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, we prepare a discrete distribution from the continuous 2D normal distribution. We evaluate the continuous probability density function (PDF) on the grid $(-2, 2)^2$ with a discretization of $8$ values per feature. Thus, we have $64$ values of the PDF. Since this will be a discrete distribution we normalize the obtained probabilities."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"from scipy.stats import multivariate_normal\n",
"\n",
"coords = np.linspace(-2, 2, num_discrete_values)\n",
"rv = multivariate_normal(mean=[0.0, 0.0], cov=[[1, 0], [0, 1]], seed=algorithm_globals.random_seed)\n",
"grid_elements = np.transpose([np.tile(coords, len(coords)), np.repeat(coords, len(coords))])\n",
"prob_data = rv.pdf(grid_elements)\n",
"prob_data = prob_data / np.sum(prob_data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's visualize our distribution. It is a nice bell-shaped bivariate normal distribution on a discrete grid."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 900x900 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from matplotlib import cm\n",
"\n",
"mesh_x, mesh_y = np.meshgrid(coords, coords)\n",
"grid_shape = (num_discrete_values, num_discrete_values)\n",
"\n",
"fig, ax = plt.subplots(figsize=(9, 9), subplot_kw={\"projection\": \"3d\"})\n",
"prob_grid = np.reshape(prob_data, grid_shape)\n",
"surf = ax.plot_surface(mesh_x, mesh_y, prob_grid, cmap=cm.coolwarm, linewidth=0, antialiased=False)\n",
"fig.colorbar(surf, shrink=0.5, aspect=5)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## 3. Definitions of the Neural Networks\n",
"In this section we define two neural networks as described above:\n",
"\n",
"- A quantum generator as a quantum neural network.\n",
"- A classical discriminator as a PyTorch-based neural network.\n",
"\n",
"### 3.1. Definition of the quantum neural network ansatz\n",
"\n",
"Now, we define the parameterized quantum circuit $G\\left(\\boldsymbol{\\theta}\\right)$ with $\\boldsymbol{\\theta} = {\\theta_1, ..., \\theta_k}$ which will be used in our quantum generator.\n",
"\n",
"To implement the quantum generator, we choose a hardware efficient ansatz with $6$ repetitions. The ansatz implements $R_Y$, $R_Z$ rotations and $CX$ gates which takes a uniform distribution as an input state. Notably, for $k>1$ the generator's parameters must be chosen carefully. For example, the circuit depth should be more than $1$ because higher circuit depths enable the representation of more complex structures. Here, we construct quite a deep circuit with a large number of parameters to be able to adequately capture and represent the distribution."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"from qiskit import QuantumCircuit\n",
"from qiskit.circuit.library import EfficientSU2, TwoLocal, PauliTwoDesign\n",
"\n",
"qc = QuantumCircuit(num_qubits)\n",
"qc.h(qc.qubits)\n",
"\n",
"ansatz = EfficientSU2(num_qubits, reps=6)\n",
"qc.compose(ansatz, inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"Let's draw our circuit and see what it looks like. On the plot we may notice a pattern that appears $6$ times."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2210.55x1120.39 with 1 Axes>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"qc.decompose().draw(\"mpl\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's print the number of trainable parameters."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"84"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"qc.num_parameters"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"### 3.2. Definition of the quantum generator\n",
"\n",
"We start defining the generator by creating a sampler for the ansatz. The reference implementation is a statevector-based implementation, thus it returns exact probabilities as a result of circuit execution. We add the `shots` parameter to add some noise to the results. In this case the implementation samples probabilities from the multinomial distribution constructed from the measured quasi probabilities. And as usual we fix the seed for reproducibility purposes."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"from qiskit.primitives import Sampler\n",
"\n",
"shots = 1000\n",
"sampler = Sampler(options={\"shots\": shots, \"seed\": algorithm_globals.random_seed})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we define a function that creates the quantum generator from a given parameterized quantum circuit. Inside this function we create a neural network that returns the quasi probability distribution evaluated by the underlying Sampler. We fix `initial_weights` for reproducibility purposes. In the end we wrap the created quantum neural network in `TorchConnector` to make use of PyTorch-based training."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"from qiskit_machine_learning.connectors import TorchConnector\n",
"from qiskit_machine_learning.neural_networks import SamplerQNN\n",
"\n",
"\n",
"def create_generator() -> TorchConnector:\n",
" qnn = SamplerQNN(\n",
" circuit=qc,\n",
" sampler=sampler,\n",
" input_params=[],\n",
" weight_params=qc.parameters,\n",
" sparse=False,\n",
" )\n",
"\n",
" initial_weights = algorithm_globals.random.random(qc.num_parameters)\n",
" return TorchConnector(qnn, initial_weights)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"### 3.3. Definition of the classical discriminator\n",
"\n",
"Next, we define a PyTorch-based classical neural network that represents the classical discriminator. The underlying gradients can be automatically computed with PyTorch."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"from torch import nn\n",
"\n",
"\n",
"class Discriminator(nn.Module):\n",
" def __init__(self, input_size):\n",
" super(Discriminator, self).__init__()\n",
"\n",
" self.linear_input = nn.Linear(input_size, 20)\n",
" self.leaky_relu = nn.LeakyReLU(0.2)\n",
" self.linear20 = nn.Linear(20, 1)\n",
" self.sigmoid = nn.Sigmoid()\n",
"\n",
" def forward(self, input: torch.Tensor) -> torch.Tensor:\n",
" x = self.linear_input(input)\n",
" x = self.leaky_relu(x)\n",
" x = self.linear20(x)\n",
" x = self.sigmoid(x)\n",
" return x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.4. Create a generator and a discriminator\n",
"\n",
"Now we create a generator and a discriminator."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"generator = create_generator()\n",
"discriminator = Discriminator(num_dim)"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## 4. Setting up the Training Loop\n",
"In this section we set up:\n",
"\n",
"- A loss function for the generator and discriminator.\n",
"- Optimizers for both.\n",
"- A utility plotting function to visualize training process.\n",
"\n",
"### 4.1. Definition of the loss functions\n",
"We want to train the generator and the discriminator with binary cross entropy as the loss function:\n",
"$$L\\left(\\boldsymbol{\\theta}\\right)=\\sum_jp_j\\left(\\boldsymbol{\\theta}\\right)\\left[y_j\\log(x_j) + (1-y_j)\\log(1-x_j)\\right],$$\n",
"where $x_j$ refers to a data sample and $y_j$ to the corresponding label.\n",
"\n",
"Since PyTorch's `binary_cross_entropy` is not differentiable with respect to weights, we implement the loss function manually to be able to evaluate gradients."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"def adversarial_loss(input, target, w):\n",
" bce_loss = target * torch.log(input) + (1 - target) * torch.log(1 - input)\n",
" weighted_loss = w * bce_loss\n",
" total_loss = -torch.sum(weighted_loss)\n",
" return total_loss"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"### 4.2. Definition of the optimizers\n",
"In order to train the generator and discriminator, we need to define optimization schemes. In the following, we employ a momentum based optimizer called Adam, see [Kingma et al., Adam: A method for stochastic optimization](https://arxiv.org/abs/1412.6980) for more details."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"from torch.optim import Adam\n",
"\n",
"lr = 0.01 # learning rate\n",
"b1 = 0.7 # first momentum parameter\n",
"b2 = 0.999 # second momentum parameter\n",
"\n",
"generator_optimizer = Adam(generator.parameters(), lr=lr, betas=(b1, b2), weight_decay=0.005)\n",
"discriminator_optimizer = Adam(\n",
" discriminator.parameters(), lr=lr, betas=(b1, b2), weight_decay=0.005\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"### 4.3. Visualization of the training process\n",
"We will visualize what is happening during the training by plotting the evolution of the generator's and the discriminator's loss functions during the training, as well as the progress in the relative entropy between the trained and the target distribution. We define a function that plots the loss functions and relative entropy. We call this function once an epoch of training is complete.\n",
"\n",
"Visualization of the training process begins when training data is collected across two epochs."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"from IPython.display import clear_output\n",
"\n",
"\n",
"def plot_training_progress():\n",
" # we don't plot if we don't have enough data\n",
" if len(generator_loss_values) < 2:\n",
" return\n",
"\n",
" clear_output(wait=True)\n",
" fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(18, 9))\n",
"\n",
" # Generator Loss\n",
" ax1.set_title(\"Loss\")\n",
" ax1.plot(generator_loss_values, label=\"generator loss\", color=\"royalblue\")\n",
" ax1.plot(discriminator_loss_values, label=\"discriminator loss\", color=\"magenta\")\n",
" ax1.legend(loc=\"best\")\n",
" ax1.set_xlabel(\"Iteration\")\n",
" ax1.set_ylabel(\"Loss\")\n",
" ax1.grid()\n",
"\n",
" # Relative Entropy\n",
" ax2.set_title(\"Relative entropy\")\n",
" ax2.plot(entropy_values)\n",
" ax2.set_xlabel(\"Iteration\")\n",
" ax2.set_ylabel(\"Relative entropy\")\n",
" ax2.grid()\n",
"\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## 5. Model Training\n",
"In the training loop we monitor not only loss functions, but relative entropy as well. The relative entropy describes a distance metric for distributions. Hence, we can use it to benchmark how close/far away the trained distribution is from the target distribution.\n",
"\n",
"Now, we are ready to train our model. It may take some time to train the model so be patient."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1800x900 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fit in 476.90 sec\n"
]
}
],
"source": [
"import time\n",
"from scipy.stats import multivariate_normal, entropy\n",
"\n",
"n_epochs = 50\n",
"\n",
"num_qnn_outputs = num_discrete_values**num_dim\n",
"\n",
"generator_loss_values = []\n",
"discriminator_loss_values = []\n",
"entropy_values = []\n",
"\n",
"start = time.time()\n",
"for epoch in range(n_epochs):\n",
"\n",
" valid = torch.ones(num_qnn_outputs, 1, dtype=torch.float)\n",
" fake = torch.zeros(num_qnn_outputs, 1, dtype=torch.float)\n",
"\n",
" # Configure input\n",
" real_dist = torch.tensor(prob_data, dtype=torch.float).reshape(-1, 1)\n",
"\n",
" # Configure samples\n",
" samples = torch.tensor(grid_elements, dtype=torch.float)\n",
" disc_value = discriminator(samples)\n",
"\n",
" # Generate data\n",
" gen_dist = generator(torch.tensor([])).reshape(-1, 1)\n",
"\n",
" # Train generator\n",
" generator_optimizer.zero_grad()\n",
" generator_loss = adversarial_loss(disc_value, valid, gen_dist)\n",
"\n",
" # store for plotting\n",
" generator_loss_values.append(generator_loss.detach().item())\n",
"\n",
" generator_loss.backward(retain_graph=True)\n",
" generator_optimizer.step()\n",
"\n",
" # Train Discriminator\n",
" discriminator_optimizer.zero_grad()\n",
"\n",
" real_loss = adversarial_loss(disc_value, valid, real_dist)\n",
" fake_loss = adversarial_loss(disc_value, fake, gen_dist.detach())\n",
" discriminator_loss = (real_loss + fake_loss) / 2\n",
"\n",
" # Store for plotting\n",
" discriminator_loss_values.append(discriminator_loss.detach().item())\n",
"\n",
" discriminator_loss.backward()\n",
" discriminator_optimizer.step()\n",
"\n",
" entropy_value = entropy(gen_dist.detach().squeeze().numpy(), prob_data)\n",
" entropy_values.append(entropy_value)\n",
"\n",
" plot_training_progress()\n",
"\n",
"elapsed = time.time() - start\n",
"print(f\"Fit in {elapsed:0.2f} sec\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## 6. Results: Cumulative Density Functions\n",
"In this section we compare the cumulative distribution function (CDF) of the trained distribution to the CDF of the target distribution.\n",
"\n",
"First, we generate a new probability distribution with PyTorch autograd turned off as we are not going to train the model anymore."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"with torch.no_grad():\n",
" generated_probabilities = generator().numpy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And then, we plot the cumulative distribution functions of the generated distribution, original distribution, and the difference between them. Please, be careful, the scale on the third plot **is not the same** as on the first and second plot, and the actual difference between the two plotted CDFs is pretty small."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"tags": [
"nbsphinx-thumbnail"
]
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1800x900 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(18, 9))\n",
"\n",
"# Generated CDF\n",
"gen_prob_grid = np.reshape(np.cumsum(generated_probabilities), grid_shape)\n",
"\n",
"ax1 = fig.add_subplot(1, 3, 1, projection=\"3d\")\n",
"ax1.set_title(\"Generated CDF\")\n",
"ax1.plot_surface(mesh_x, mesh_y, gen_prob_grid, linewidth=0, antialiased=False, cmap=cm.coolwarm)\n",
"ax1.set_zlim(-0.05, 1.05)\n",
"\n",
"# Real CDF\n",
"real_prob_grid = np.reshape(np.cumsum(prob_data), grid_shape)\n",
"\n",
"ax2 = fig.add_subplot(1, 3, 2, projection=\"3d\")\n",
"ax2.set_title(\"True CDF\")\n",
"ax2.plot_surface(mesh_x, mesh_y, real_prob_grid, linewidth=0, antialiased=False, cmap=cm.coolwarm)\n",
"ax2.set_zlim(-0.05, 1.05)\n",
"\n",
"# Difference\n",
"ax3 = fig.add_subplot(1, 3, 3, projection=\"3d\")\n",
"ax3.set_title(\"Difference between CDFs\")\n",
"ax3.plot_surface(\n",
" mesh_x, mesh_y, real_prob_grid - gen_prob_grid, linewidth=2, antialiased=False, cmap=cm.coolwarm\n",
")\n",
"ax3.set_zlim(-0.05, 0.1)\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## 7. Conclusion\n",
"\n",
"Quantum generative adversarial networks employ the interplay of a generator and discriminator to map an approximate representation of a probability distribution underlying given data samples into a quantum channel. This tutorial presents a self-standing PyTorch-based qGAN implementation where the generator is given by a quantum channel, i.e., a variational quantum circuit, and the discriminator by a classical neural network, and discusses the application of efficient learning and loading of generic probability distributions into quantum states. The loading requires $\\mathscr{O}\\left(poly\\left(n\\right)\\right)$ gates and can thus enable the use of potentially advantageous quantum algorithms."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"pycharm": {
"name": "#%%\n"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"<h3>Version Information</h3><table><tr><th>Software</th><th>Version</th></tr><tr><td><code>qiskit</code></td><td>0.44.1</td></tr><tr><td><code>qiskit-terra</code></td><td>0.25.1</td></tr><tr><td><code>qiskit_machine_learning</code></td><td>0.6.1</td></tr><tr><th colspan='2'>System information</th></tr><tr><td>Python version</td><td>3.10.8</td></tr><tr><td>Python compiler</td><td>GCC 10.4.0</td></tr><tr><td>Python build</td><td>main, Nov 22 2022 08:26:04</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>31.142810821533203</td></tr><tr><td colspan='2'>Thu Oct 05 01:56:04 2023 UTC</td></tr></table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>© Copyright IBM 2017, 2023.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import qiskit.tools.jupyter\n",
"\n",
"%qiskit_version_table\n",
"%qiskit_copyright"
]
}
],
"metadata": {
"celltoolbar": "Tags",
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
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