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arXiv · 1809.06133

Quantum entropy and non-Markovian evolution

Paolo Aniello·Joonwoo Bae·Dariusz Chruscinski
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Abstract

Entropy, and its temporal evolution, play a central role in the foundations of quantum theory and in modern quantum technologies. Here we study, in particular, the relations between the --- in general, non-Markovian --- evolution of an open quantum system, the notions of divisibility of a dynamical map and of distinguishability of quantum states, and the temporal behaviour of various entropy-related quantities such as the Renyi (and sandwiched Renyi) divergences, and the so-called min- and max- conditional entropies. This, in turn, gives rise to an operational meaning of (non-)Markovianity.

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Paolo Aniello, Joonwoo Bae, Dariusz Chruscinski. 2018-09-17. Quantum entropy and non-Markovian evolution. https://arxiv.org/abs/1809.06133

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