Equivalence between non-Markovian dynamics and correlation backflows
Abstract
The information encoded into an open quantum system that evolves under a Markovian dynamics is always monotonically non-increasing. Nonetheless, for a given quantifier of the information contained in the system, it is in general not clear if for all non-Markovian dynamics it is possible to observe a non-monotonic evolution of this quantity, namely a backflow. We address this problem by considering correlations of finite-dimensional bipartite systems. For this purpose, we consider a class of correlation measures and prove that if the dynamics is non-Markovian there exists at least one element from this class that provides a correlation backflow. Moreover, we provide a set of initial probe states that accomplish this witnessing task. This result provides the first one-to-one relation between non-Markovian dynamics of finite-dimensional quantum systems and correlation backflows.
Keywords
Cite
@article{arxiv.1906.06269,
title = {Equivalence between non-Markovian dynamics and correlation backflows},
author = {Dario De Santis and Markus Johansson},
journal= {arXiv preprint arXiv:1906.06269},
year = {2020}
}
Comments
5+8 pages, 2 figures. New author, several changes and added material