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arXiv 2204.06150quant-phcs.LGstat.ML
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基于Hamilton学习的多维时间序列量子生成模型

A quantum generative model for multi-dimensional time series using Hamiltonian learning

Agnostiq Inc.(阿格诺斯蒂克公司)

Haim Horowitz, Pooja Rao, Santosh Kumar Radha

摘要:

合成数据生成已被证明是解决各个领域数据可用性问题的一种有前途的解决方案。更具挑战性的是合成时间序列数据的生成,其中必须保持时间动态,即,所生成的时间序列必须尊重变量之间跨时间的原始关系。最近提出的技术,如生成对抗网络(GANs)和量子GANs缺乏足够的能力,以照顾到时间序列的特定时间相关性。我们建议使用量子计算机的固有性质来模拟量子动力学作为编码这些特征的技术。我们首先假设给定的时间序列可以由量子过程生成,然后我们继续使用量子机器学习来学习量子过程。然后,我们使用学习的模型来生成样本外时间序列,并表明它捕获了学习的时间序列的独特和复杂的特征。我们还研究了可以使用这种技术建模的时间序列类。最后,我们在一个11量子比特的囚禁离子量子机上实验验证了所提出的算法。

英文摘要:

Synthetic data generation has proven to be a promising solution for addressing data availability issues in various domains. Even more challenging is the generation of synthetic time series data, where one has to preserve temporal dynamics, i.e., the generated time series must respect the original relationships between variables across time. Recently proposed techniques such as generative adversarial networks (GANs) and quantum-GANs lack the ability to attend to the time series specific temporal correlations adequately. We propose using the inherent nature of quantum computers to simulate quantum dynamics as a technique to encode such features. We start by assuming that a given time series can be generated by a quantum process, after which we proceed to learn that quantum process using quantum machine learning. We then use the learned model to generate out-of-sample time series and show that it captures unique and complex features of the learned time series. We also study the class of time series that can be modeled using this technique. Finally, we experimentally demonstrate the proposed algorithm on an 11-qubit trapped-ion quantum machine.

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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