Quantifying non-Markovianity via correlations
Quantifying non-Markovianity via correlations
复制标题
DOI：
10.1103/physreva.86.044101
复制
发表时间：
2012-10-08
影响因子：
2.9
通讯作者：
Song, Hongting
中科院分区：
文献类型：
--
作者：
Luo, Shunlong;Fu, Shuangshuang;Song, Hongting
在开放量子系统的研究中，记忆效应通常被忽略，这导致了动态半群和马尔可夫动力学。然而，在实践中，非马尔可夫动力学是规则而不是例外。随着量子信息理论的兴起，对非马尔可夫动力学进行了大量的研究，并从不同的角度介绍了几种重要的非马尔可夫性度量，如偏离可分性、系统与其环境之间的信息交换或与环境的纠缠。在这项工作中，通过利用系统和任意辅助之间的关联流，我们提出了一种相当直观的非马尔可夫性度量方法，即使用量子互信息而不是纠缠量化的关联。阐述了非马尔可夫性的基本性质、物理意义以及与现有非马尔可夫性测度的区别和关系。该测度从信息的角度较为直接而深刻地捕捉到了非马尔可夫性的特征。提出了一种基于Jamiolkowski-Choi同构的简化版本，该版本通过二部态编码操作，并且不涉及任何优化。
In the study of open quantum systems, memory effects are usually ignored, and this leads to dynamical semigroups and Markovian dynamics. However, in practice, non-Markovian dynamics is the rule rather than the exception. With the recent emergence of quantum information theory, there is a flurry of investigations of non-Markovian dynamics, and several significant measures for non-Markovianity are introduced from various perspectives such as deviation from divisibility, information exchange between a system and its environment, or entanglement with the environment. In this work, by exploiting the correlations flow between a system and an arbitrary ancillary, we propose a considerably intuitive measure for non-Markovianity by use of correlations as quantified by the quantum mutual information rather than entanglement. The fundamental properties, physical significance, and differences and relations with existing measures for non-Markovianity are elucidated. The measure captures quite directly and deeply the characteristics of non-Markovianity from the perspective of information. A simplified version based on Jamiolkowski-Choi isomorphism which encodes operations via bipartite states and does not involve any optimization is also proposed.