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Quantum Physics
Title: Quantum reservoir probing of quantum information scrambling
(Submitted on 2 Aug 2023 (v1), last revised 29 Mar 2024 (this version, v3))
Abstract: Quantum information scrambling is the dynamical process where initially localized quantum information spreads over diverse degrees of freedom. Out-of-time-order correlators and tripartite mutual information have been utilized as key metrics to investigate scrambling, with a specific emphasis on the asymptotic behaviors in the long-time regime and the initial spreads in the early-time regime. An open question is the comprehensive clarification of the dynamics of information propagation, covering the intermediate-time regime. Here, by extending the idea of quantum reservoir computing, we propose quantum reservoir probing (QRP) to diagnose scrambling in a unified manner for arbitrary degrees of freedom at arbitrary times, through information estimation performance. As a paradigmatic example, we investigate a one-dimensional quantum Ising chain. We show that the QRP successfully distinguishes between quasiparticle-mediated information propagation in a free fermion system and correlation-mediated scrambling in a quantum chaotic system, all while showcasing its experimental simplicity. Furthermore, by systematically scanning the read-out operators, we can identify the system-specific information propagation channels, a distinct advantage over the conventional methods.
Submission history
From: Kaito Kobayashi [view email][v1] Wed, 2 Aug 2023 01:26:36 GMT (5113kb,D)
[v2] Fri, 1 Mar 2024 10:12:20 GMT (12334kb,D)
[v3] Fri, 29 Mar 2024 10:28:36 GMT (12328kb,D)
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