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Autores principales: Wang, Longhan, Sun, Yifan, Zhang, Xiangdong
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2503.00409
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author Wang, Longhan
Sun, Yifan
Zhang, Xiangdong
author_facet Wang, Longhan
Sun, Yifan
Zhang, Xiangdong
contents Deducing the states of spatiotemporally chaotic systems (SCSs) as they evolve in time is crucial for various applications. However, it is a dramatic challenge for generally achieving so due to the complexity of non-periodic dynamics and the hardness of obtaining robust solutions. In recent, there is a growing interest in approaching the problem using both classical and quantum machine learning methods. Although effective for predicting SCSs within a relative short time, the current schemes are not capable of providing robust solutions for longer time than training time. Here, we propose an approach for advancing the prediction of chaotic behavior. Our approach can be viewed as a novel quantum reservoir computing scheme, which can simultaneously capture the linear and the nonlinear features of input data and evolve under a modified Hamiltonian. Our work paves the way for a new avenue in handling SCSs.
format Preprint
id arxiv_https___arxiv_org_abs_2503_00409
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Enhanced Predictive Capability for Chaotic Dynamics by Modified Quantum Reservoir Computing
Wang, Longhan
Sun, Yifan
Zhang, Xiangdong
Quantum Physics
Deducing the states of spatiotemporally chaotic systems (SCSs) as they evolve in time is crucial for various applications. However, it is a dramatic challenge for generally achieving so due to the complexity of non-periodic dynamics and the hardness of obtaining robust solutions. In recent, there is a growing interest in approaching the problem using both classical and quantum machine learning methods. Although effective for predicting SCSs within a relative short time, the current schemes are not capable of providing robust solutions for longer time than training time. Here, we propose an approach for advancing the prediction of chaotic behavior. Our approach can be viewed as a novel quantum reservoir computing scheme, which can simultaneously capture the linear and the nonlinear features of input data and evolve under a modified Hamiltonian. Our work paves the way for a new avenue in handling SCSs.
title Enhanced Predictive Capability for Chaotic Dynamics by Modified Quantum Reservoir Computing
topic Quantum Physics
url https://arxiv.org/abs/2503.00409