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 quantum dynamics and correlation backflows. Finally, we introduce a measure of non-Markovianity.
- Publication:
-
New Journal of Physics
- Pub Date:
- September 2020
- DOI:
- 10.1088/1367-2630/abaf6a
- arXiv:
- arXiv:1906.06269
- Bibcode:
- 2020NJPh...22i3034D
- Keywords:
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- non-Markovianity;
- open quantum systems;
- backflow;
- correlation;
- Quantum Physics
- E-Print:
- 5+8 pages, 2 figures. New author, several changes and added material