论文标题

holevo偏斜以表征信息回流的分歧

Holevo skew divergence for the characterization of information backflow

论文作者

Smirne, Andrea, Megier, Nina, Vacchini, Bassano

论文摘要

由于开放量子系统及其环境之间的信息交换,对非马克维亚效应的解释最近是根据适当正规化的熵数量而提出的,因为它们的复兴可以通过描述开放系统之外的信息存储的数量来限制上限。莱特牧师。 127,030401(2021)]。在这里,我们详细阐述了理论的更广泛的数学框架,指定了使我们能够将可分辨率量化器与从开放系统的信息流相关联的关键属性。我们将漏洞数量指定为可以应用形式主义的明显量子差异,并展示了在此一般框架中如何相互关联的几个不同的非马克维亚性量化词。最后,我们将分析应用于两个相关的物理模型,在这些模型中,可以对所有数量进行精确评估。

The interpretation of non-Markovian effects as due to the information exchange between an open quantum system and its environment has been recently formulated in terms of properly regularized entropic quantities, as their revivals in time can be upper bounded by means of quantities describing the storage of information outside the open system [Phys. Rev. Lett. 127, 030401 (2021)]. Here, we elaborate on the wider mathematical framework of the theory, specifying the key properties that allow us to associate distinguishability quantifiers with the information flow from and towards the open system. We point to the Holevo quantity as a distinguished quantum divergence to which the formalism can be applied, and we show how several distinct quantifiers of non-Markovianity can be related to each other within this general framework. Finally, we apply our analysis to two relevant physical models in which an exact evaluation of all quantities can be performed.

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