Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics

Yu-Qin Chen, Shuo Liu, Shi-Xin Zhang
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Abstract

In this study, we explore the information capacity of open quantum systems, focusing on the effective channels formed by the subsystem of random quantum circuits and quantum Hamiltonian evolution. By analyzing the subsystem information capacity, which is closely linked to quantum coherent information of these effective quantum channels, we uncover a diverse range of dynamical and steady behaviors depending on the types of evolution. Therefore, the subsystem information capacity serves as a valuable tool for studying the intrinsic nature of various dynamical phases, such as integrable, localized, thermalized, and topological systems. We also reveal the impact of different initial information encoding schemes on information dynamics including one-to-one, one-to-many, and many-to-many. To support our findings, we provide representative examples for numerical simulations, including random quantum circuits with or without mid-circuit measurements, random Clifford Floquet circuits, free and interacting Aubry-Andr\'e models, and Su-Schrieffer-Heeger models. Those numerical results are further quantitatively explained using the effective statistical model mapping and the quasiparticle picture in the cases of random circuits and non-interacting Hamiltonian dynamics, respectively.
随机电路和哈密顿动力学中的子系统信息容量
在这项研究中,我们探讨了开放量子系统的信息容量,重点是随机量子电路子系统和量子哈密顿演化形成的有效通道。子系统信息容量与这些有效量子通道的量子相干信息密切相关,通过分析子系统信息容量,我们发现了不同演化类型下的多种动态和稳定行为。因此,子系统信息容量是研究可积分、局部化、热化和拓扑系统等各种动力学阶段内在性质的重要工具。我们还揭示了不同初始信息编码方案对信息动态的影响,包括一对一、一对多和多对多。为了支持我们的发现,我们提供了具有代表性的数值模拟实例,包括有或没有中途测量的随机量子电路、随机克利福德-弗洛奎特电路、自由和相互作用的奥布里-安德罗(Aubry-Andr\'e)模型以及苏-施里弗-赫格(Su-Schrieffer-Heegermels)模型。在随机电路和非相互作用哈密顿动力学的情况下,分别使用有效统计模型映射和准粒子图进一步定量解释了这些数值结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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