{ "cells": [ { "cell_type": "markdown", "id": "6a93387b", "metadata": {}, "source": [ "# Limitations of Amplitude Encoding on Quantum Classification (AA_study)\n", "\n", "This implementation is based on prior work by [Wang *et al.*](https://arxiv.org/abs/2503.01545).\n", "\n", "This notebook will show a main limitation of amplitude encoding on a small dataset." ] }, { "cell_type": "markdown", "id": "b7982352", "metadata": {}, "source": [ "## 0. Setup and imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "7f544f58", "metadata": {}, "outputs": [], "source": [ "import merlin as ml\n", "import numpy as np\n", "import torch\n", "from torch.utils.data import DataLoader, TensorDataset\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "916651ee", "metadata": {}, "source": [ "## 1. Generating a simple dataset." ] }, { "cell_type": "markdown", "id": "5d7d3a19", "metadata": {}, "source": [ "Here we will classify the dataset presented in figure 1 of the paper: a dataset that can not be classified by amplitude encoded-layers. Although, we will scale the dataset to have features going from 0 to 1 to obtain better results in general.\n", "\n", "For class 1, both features follow the uniform distribution $\\mathcal{U}[0,2/5]$. For class 2, both features follow the uniform distribution $\\mathcal{U}[3/5,1]$.\n", "\n", "We will generate 2000 points per class.\n", "\n", "Here is a quick plot of the dataset." ] }, { "cell_type": "code", "execution_count": null, "id": "866c9a58", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "class_1_x_1 = np.random.uniform(0, 2/5, 2000)\n", "class_1_x_2 = np.random.uniform(0, 2/5, 2000)\n", "class_1 = [[i, j] for i, j in zip(class_1_x_1, class_1_x_2)]\n", "\n", "class_2_x_1 = np.random.uniform(3/5, 1, 2000)\n", "class_2_x_2 = np.random.uniform(3/5, 1, 2000)\n", "class_2 = [[i, j] for i, j in zip(class_2_x_1, class_2_x_2)]\n", "\n", "features = np.vstack([class_1, class_2])\n", "labels = np.concatenate(\n", " [np.zeros(2000), np.ones(2000)]\n", ")\n", "\n", "features_tensor = torch.tensor(features, dtype=torch.float32)\n", "labels_tensor = torch.tensor(labels, dtype=torch.long)\n", "\n", "dataset=TensorDataset(features_tensor, labels_tensor)\n", "dataloader=DataLoader(dataset, batch_size=50, shuffle=True)\n", "\n", "#Plot\n", "plt.scatter(class_1_x_1, class_1_x_2, s=10, color=\"tab:blue\", alpha=0.7)\n", "plt.scatter(class_2_x_1, class_2_x_2, s=10, color=\"tab:red\", alpha=0.7)\n", "plt.xlabel(\"x1\")\n", "plt.ylabel(\"x2\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3cf46a18", "metadata": {}, "source": [ "## 2. Classify the dataset with amplitude encoding" ] }, { "cell_type": "markdown", "id": "cff9fe80", "metadata": {}, "source": [ "Lets create a basic amplitude encoding model to classify this dataset." ] }, { "cell_type": "code", "execution_count": 3, "id": "0c6ec725", "metadata": {}, "outputs": [], "source": [ "circuit = ml.CircuitBuilder(n_modes=2)\n", "for _ in range(4):\n", " circuit.add_entangling_layer()\n", "qlayer = ml.QuantumLayer(\n", " builder=circuit,\n", " amplitude_encoding=True,\n", " n_photons=1,\n", ")" ] }, { "cell_type": "markdown", "id": "16dff85a", "metadata": {}, "source": [ "Lets do a basic training loop to plot the loss and accuracy over the epochs." ] }, { "cell_type": "code", "execution_count": 4, "id": "577ee08c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 25 had a loss of 0.680544275790453 and accuracy of 0.5105\n", "Epoch 50 had a loss of 0.6804427191615104 and accuracy of 0.524\n", "Epoch 75 had a loss of 0.6804891876876354 and accuracy of 0.548\n", "Epoch 100 had a loss of 0.6806345574557782 and accuracy of 0.51925\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimizer = torch.optim.Adam(qlayer.parameters(), lr=0.01)\n", "criterion = torch.nn.CrossEntropyLoss()\n", "qlayer.train()\n", "\n", "accuracy_per_epoch = []\n", "loss_per_epoch = []\n", "accuracy_test_per_epoch = []\n", "loss_test_per_epoch = []\n", "\n", "for epoch in range(100):\n", " tot_loss = 0.0\n", " correct = 0\n", " total = 0\n", " num_batches = 0\n", " for features, labels in dataloader:\n", " optimizer.zero_grad()\n", " logits = qlayer(features)\n", " loss = criterion(logits, labels)\n", " loss.backward()\n", "\n", " optimizer.step()\n", " tot_loss += loss.item()\n", " num_batches += 1\n", " preds = torch.clone(logits).detach().argmax(dim=1)\n", " correct += (preds == labels).sum().item()\n", " total += labels.size(0)\n", "\n", " accuracy = correct / total\n", " accuracy_per_epoch.append(accuracy)\n", " avg_loss = tot_loss / max(num_batches, 1)\n", " loss_per_epoch.append(avg_loss)\n", " if (epoch+1)%25==0:\n", " print(f\"Epoch {epoch + 1} had a loss of {avg_loss} and accuracy of {accuracy}\")\n", "\n", "\n", "epochs = list(range(1, 101))\n", "plt.plot(epochs, loss_per_epoch, color=\"tab:blue\", lw=2, label=\"Loss\")\n", "plt.plot(epochs, accuracy_per_epoch, color=\"tab:red\", lw=2, label=\"Accuracy\")\n", "plt.legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "08bc9e66", "metadata": {}, "source": [ "We observe that a amplitude encoding model can not classify this simple dataset. We observe the same loss plateau at $\\ln(2)$ as stated in the paper." ] }, { "cell_type": "markdown", "id": "dada9a08", "metadata": {}, "source": [ "## 3. Classify the dataset with angle encoding\n", "\n", "Lets classify the same dataset but, with an angle encoding-based layer." ] }, { "cell_type": "code", "execution_count": 5, "id": "e36f4927", "metadata": {}, "outputs": [], "source": [ "circuit = ml.CircuitBuilder(n_modes=3)\n", "circuit.add_entangling_layer()\n", "circuit.add_angle_encoding([0,1])\n", "for _ in range(3):\n", " circuit.add_entangling_layer()\n", "qlayer = torch.nn.Sequential(ml.QuantumLayer(\n", " input_size=2,\n", " builder=circuit,\n", " input_state=[1,0,0],\n", "),ml.LexGrouping(3,2))" ] }, { "cell_type": "markdown", "id": "2b8936db", "metadata": {}, "source": [ "Lets do a basic training loop to plot the loss and accuracy over the epochs." ] }, { "cell_type": "code", "execution_count": 6, "id": "b891462d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 25 had a loss of 0.5573798418045044 and accuracy of 1.0\n", "Epoch 50 had a loss of 0.5574306592345237 and accuracy of 1.0\n", "Epoch 75 had a loss of 0.5571818374097347 and accuracy of 1.0\n", "Epoch 100 had a loss of 0.5574161484837532 and accuracy of 1.0\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimizer = torch.optim.Adam(qlayer.parameters(), lr=0.01)\n", "criterion = torch.nn.CrossEntropyLoss()\n", "qlayer.train()\n", "\n", "accuracy_per_epoch = []\n", "loss_per_epoch = []\n", "accuracy_test_per_epoch = []\n", "loss_test_per_epoch = []\n", "\n", "for epoch in range(100):\n", " tot_loss = 0.0\n", " correct = 0\n", " total = 0\n", " num_batches = 0\n", " for features, labels in dataloader:\n", " optimizer.zero_grad()\n", " logits = qlayer(features)\n", " loss = criterion(logits, labels)\n", " loss.backward()\n", "\n", " optimizer.step()\n", " tot_loss += loss.item()\n", " num_batches += 1\n", " preds = torch.clone(logits).detach().argmax(dim=1)\n", " correct += (preds == labels).sum().item()\n", " total += labels.size(0)\n", "\n", " accuracy = correct / total\n", " accuracy_per_epoch.append(accuracy)\n", " avg_loss = tot_loss / max(num_batches, 1)\n", " loss_per_epoch.append(avg_loss)\n", " if (epoch+1)%25==0:\n", " print(f\"Epoch {epoch + 1} had a loss of {avg_loss} and accuracy of {accuracy}\")\n", "\n", "\n", "epochs = list(range(1, 101))\n", "plt.plot(epochs, loss_per_epoch, color=\"tab:blue\", lw=2, label=\"Loss\")\n", "plt.plot(epochs, accuracy_per_epoch, color=\"tab:red\", lw=2, label=\"Accuracy\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "437592c7", "metadata": {}, "source": [ "We can see here that the angle encoding model is more suited to classify this synthetic dataset.\n", "\n", "Even though the amplitude encoding principle uses less resources, it is not always better than a traditional angle encoding." ] } ], "metadata": { "kernelspec": { "display_name": "reproduce", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }