Information backflow may not indicate quantum memory

Michal Banacki; Marcin Marciniak; Karol Horodecki; Pawel Horodecki

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arXiv · 2008.12638

Information backflow may not indicate quantum memory

Michal Banacki·Marcin Marciniak·Karol Horodecki·Pawel Horodecki

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Abstract

We analyze recent approaches to quantum Markovianity and how they relate to the proper definition of quantum memory. We point out that the well-known criterion of information backflow may not correctly report character of the memory falsely signaling its quantumness. Therefore, as a complement to the well-known criteria, we propose several concepts of elementary dynamical maps. Maps of this type do not increase distinguishability of states which are indistinguishable by von Neumann measurements in a given basis. Those notions and convexity allows us to define general classes of processes without quantum memory in a weak and strong sense. Finally, we provide a practical characterization of the most intuitive class in terms of the new concept of witness of quantum information backflow.

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Michal Banacki, Marcin Marciniak, Karol Horodecki, Pawel Horodecki. 2020-08-28. Information backflow may not indicate quantum memory. https://arxiv.org/abs/2008.12638

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