Quantum entropy and non-Markovian evolution
Quantum Physics
2018-09-18 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1809.06133,
title = {Quantum entropy and non-Markovian evolution},
author = {Paolo Aniello and Joonwoo Bae and Dariusz Chruscinski},
journal= {arXiv preprint arXiv:1809.06133},
year = {2018}
}
Comments
16 pages, no figure