信息回流的Holevo斜散度刻画
Holevo skew divergence for the characterization of information backflow
摘要：
由于开放量子系统和它的环境之间的信息交换的非马尔可夫效应的解释最近已经在适当正则化的熵量方面被制定，因为它们在时间上的恢复可以通过描述开放系统外部的信息存储的量来上界[Phys.Rev.Lett. 127，030401（2021）]。在这里，我们阐述了更广泛的数学框架的理论，指定的关键属性，使我们能够关联的可扩展性量词与信息流从和朝向开放系统。我们指出Holevo量是一个可以应用形式主义的杰出量子发散，并且我们展示了非马尔科夫性的几个不同的量词如何在这个一般框架内相互关联。最后，我们将我们的分析应用到两个相关的物理模型中，其中可以执行所有数量的精确评估。
英文摘要：
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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