量子非马尔科夫特性的度量与调控

Quantification and manipulation of quantum non-Markovianity

如何全面系统地认识和理解量子非马尔科夫特性是当前量子信息领域的一个热点问题,已经取得了一些重要的理论与实验研究进展.本文将主要介绍两种分别基于量子互信息与量子Fisher信息矩阵角度的非马尔科夫特性的刻画准则,并通过两个具体例子,讨论它们与已有度量之间的关系和层次结构.除此之外,本文利用量子控制方法,实现了对此量子特性的有效调控,将无记忆的马尔科夫过程转化为有记忆的非马尔科夫过程.

The research of quantum non-Markovianity has rapidly developed and many important theoretical and experimental progresses have been made. In this work, we will mainly introduce two criteria to detect and quantify quantum non-Markovianity from the perspective of quantum mutual information and Fisher information matrix, respectively, and illustrate their basic features through two typical examples. The relationship between them and other approaches is elucidated,and a hierarchial aspect of quantum non-Markovianity is revealed. Furthermore, we adopt quantum control method to manipulate this quantum feather, and effectively modify the quantum Markovian dynamics to non-Markovian process.