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.

arXiv comment5+8 pages, 2 figures. New author, several changes and added material

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Cited by in corpus (11)

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• Characterizing (non-)Markovianity through Fisher Information
• Quantum non-Markovian environment-to-system backflows of information: non-operational vs. operational approaches
• On the connection between microscopic description and memory effects in open quantum system dynamics
• Quantifying non-Markovianity via conditional mutual information
• Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
• Construction of propagators for divisible dynamical maps
• Quantum non-Markovian "casual bystander" environments
• Ancillary Gaussian modes activate the potential to witness non-Markovianity
• Eternally non-Markovian dynamics of a qubit interacting with a single-photon wavepacket
• Pure non-Markovian evolutions