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arXiv 2512.08085quant-ph
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确定性方程用于开放量子系统反馈控制 II:记忆函数的性质

Deterministic Equations for Feedback Control of Open Quantum Systems II: Properties of the memory function

University of Rochester(罗切斯特大学);University of Rochester Center for Coherence and Quantum Science(罗切斯特大学相干与量子科学中心);University of Basel(巴塞尔大学)

Alberto J. B. Rosal, Patrick P. Potts, Gabriel T. Landi

AI总结:

本文研究了开放量子系统反馈控制中记忆函数的性质,提出将记忆视为经典系统与量子系统耦合的混合双态框架,并发展了描述记忆统计特性的通用方法。

摘要:

反馈利用过去的检测结果动态修改量子系统,是量子控制的核心。这些结果可以存储在记忆中,定义为过去测量的随机函数。本文研究了受任意反馈动力学影响的一般记忆函数的主要性质。我们证明记忆可以被视为与被监控量子系统耦合的经典系统,其联合演化由混合双态描述。此框架允许引入信息论度量,量化系统与记忆之间的相关性。此外,我们发展了描述记忆统计特性的通用框架——如矩、累积量和相关函数——可应用于一般反馈控制协议和无反馈的监控系统。作为应用,我们分析了基于两个能级系统与热浴耦合的检测事件的反馈方案,重点是稳定受热耗散影响的激发态人口或Rabi振荡。

英文摘要:

Feedback uses past detection outcomes to dynamically modify a quantum system and is central to quantum control. These outcomes can be stored in a memory, defined as a stochastic function of past measurements. In this work, we investigate the main properties of a general memory function subject to arbitrary feedback dynamics. We show that the memory can be treated as a classical system coupled to the monitored quantum system, and that their joint evolution is described by a hybrid bipartite state. This framework allows us to introduce information-theoretic measures that quantify the correlations between the system and the memory. Furthermore, we develop a general framework to characterize the statistics of the memory -- such as moments, cumulants, and correlation functions -- which can be applied both to general feedback-control protocols and to monitored systems without feedback. As an application, we analyze feedback schemes based on detection events in a two-level system coupled to a thermal bath, focusing on protocols that stabilize either the excited-state population or Rabi oscillations against thermal dissipation.

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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