Measures of non-Markovianity: Divisibility versus backflow of information

By Dariusz Chruscinski, Andrzej Kossakowski, 'Angel Rivas. 2011

207 citations recorded by the source corpus.

We analyze two recently proposed measures of non-Markovianity: one based on the concept of divisibility of the dynamical map and the other one based on distinguishability of quantum states. We provide a toy model to show that these two measures need not agree. In addition, we discuss possible generalizations and intricate relations between these measures.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/f066fb7c9124d23e49a6473e138ef902217a8151

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Concepts of quantum non-Markovianity: A hierarchy (2017, background): “Noting that the maximum probability of correctly distinguishing between any two quantum states ρ and σ, having respective prior probabilities w and 1−w, is given by the Helstrom formula Pdisting = 1 2 (1 + Tr |wρ− (1− w)σ|)[128], this leads to [14, 129]: Definition 15 (Decreasing system distinguisha”
Colloquium: Non-Markovian dynamics in open quantum systems (2015, methodology): “…considered above the nonMarkovianity measure (34) based on the trace distance and its generalization (39) based on the Helstrom matrix agree in the indication of non-Markovian dynamics, a situation in which these criteria are actually different has been considered by Chruściński et al. (2011).”