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Markovianity criteria for quantum evolution

2012/01/28 by Dariusz Chruściński, Andrzej Kossakowski
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP

paper · pdf · doi:10.1088/0953-4075/45/15/154002

published as J. Phys. B: At. Mol. Opt. Phys. 45 154002 (2012) · 17 pages

arxiv created 2012/01/28 · arxiv updated 2012/09/03

Abstract

We characterize a class of Markovian dynamics using the concept of divisible dynamical map. Moreover we provide a family of criteria which can distinguish Markovian and non-Markovian dynamics. These Markovianity criteria are based on a simple observation that Markovian dynamics implies monotonic behavior of several well known quantities like distinguishability of states, fidelity, relative entropy and genuine entanglement measures.

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