Entangled Datasets for Quantum Machine Learning

Abstract

High-quality, large-scale datasets have played a crucial role in the development and success of classical machine learning. Quantum Machine Learning (QML) is a new field that aims to use quantum computers for data analysis, with the hope of obtaining a quantum advantage of some sort. While most proposed QML architectures are benchmarked using classical datasets, there is still doubt whether QML on classical datasets will achieve such an advantage. In this work, we argue that one should instead employ quantum datasets composed of quantum states. For this purpose, we introduce the NTangled dataset composed of quantum states with different amounts and types of multipartite entanglement. We first show how a quantum neural network can be trained to generate the states in the NTangled dataset. Then, we use the NTangled dataset to benchmark QML models for supervised learning classification tasks. We also consider an alternative entanglement-based dataset, which is scalable and is composed of states prepared by quantum circuits with different depths. As a byproduct of our results, we introduce a novel method for generating multipartite entangled states, providing a use-case of quantum neural networks for quantum entanglement theory.

12 + 8 pages, 10 + 3 figures, 1 table

References in corpus (12)

• Probing many-body dynamics on a 51-atom quantum simulator
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• The power of quantum neural networks
• Connecting ansatz expressibility to gradient magnitudes and barren plateaus
• Absence of Barren Plateaus in Quantum Convolutional Neural Networks
• Information-theoretic bounds on quantum advantage in machine learning
• Diagnosing Barren Plateaus with Tools from Quantum Optimal Control
• Equivalence of quantum barren plateaus to cost concentration and narrow gorges
• Tripartite entanglement transformations and tensor rank
• Computable and operationally meaningful multipartite entanglement measures
• Multipartite monogamy of the concurrence
• The Inductive Bias of Quantum Kernels

Cited by in corpus (8)

• Challenges and Opportunities in Quantum Machine Learning
• Generalization in quantum machine learning from few training data
• Theory of overparametrization in quantum neural networks
• ResQNets: A Residual Approach for Mitigating Barren Plateaus in Quantum Neural Networks
• Transition Role of Entangled Data in Quantum Machine Learning
• GSQAS: Graph Self-supervised Quantum Architecture Search
• Quantum variational learning for entanglement witnessing
• Quantum continual learning of quantum data realizing knowledge backward transfer