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Markovianity criteria for quantum evolution

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.

preprint2012arXivOpen access
Dariusz ChruścińskiAndrzej Kossakowski
math-phmath.MPquant-ph
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Dariusz ChruścińskiAndrzej Kossakowski

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