Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing
Abstract
Reservoir computing (RC) is a machine learning paradigm that harnesses dynamical systems as computational resources. In its quantum extension -- quantum reservoir computing (QRC) -- these principles are applied to quantum systems, whose rich dynamics broadens the landscape of information processing. In classical RC, optimal performance is typically achieved at the ``edge of chaos," the boundary between order and chaos. Here, we identify its quantum many-body counterpart using the QRC implemented on the celebrated Sachdev-Ye-Kitaev model. Our analysis reveals substantial performance enhancements near two distinct characteristic ``edges": a temporal boundary defined by the Thouless time, beyond which system dynamics is described by random matrix theory, and a parametric boundary governing the transition from integrable to chaotic regimes. These findings establish the ``edge of many-body quantum chaos" as a design guideline for QRC.
Keywords
Cite
@article{arxiv.2506.17547,
title = {Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing},
author = {Kaito Kobayashi and Yukitoshi Motome},
journal= {arXiv preprint arXiv:2506.17547},
year = {2026}
}