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arXiv 2109.03400quant-phcs.LGstat.ML
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用于量子机器学习的纠缠数据集

Entangled Datasets for Quantum Machine Learning

Los Alamos National Laboratory(洛斯阿拉莫斯国家实验室);University of Illinois at Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校)

Louis Schatzki, Andrew Arrasmith, Patrick J. Coles, M. Cerezo

摘要:

高质量的大规模数据集在经典机器学习的发展和成功中发挥了至关重要的作用。量子机器学习(QML)是一个新的领域,旨在使用量子计算机进行数据分析,希望获得某种量子优势。虽然大多数提出的QML架构都是使用经典数据集进行基准测试的,但对于经典数据集上的QML是否会实现这样的优势仍然存在疑问。在这项工作中,我们认为应该采用由量子态组成的量子数据集。为此,我们引入NTangled数据集组成的量子态与不同数量和类型的多体纠缠。我们首先展示了如何训练量子神经网络来生成NTangled数据集中的状态。然后,我们使用NTangled数据集来对QML模型进行监督学习分类任务的基准测试。我们还考虑了另一种基于纠缠的数据集,它是可扩展的,由不同深度的量子线路准备的状态组成。作为我们的结果的副产品,我们介绍了一种新的方法来产生多体纠缠态,量子神经网络的量子纠缠理论提供了一个用例。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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