Operational Markov condition for quantum processes
Quantum Physics
2018-01-31 v1
Abstract
We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides with the classical one in the relevant limit. Our condition unifies all previously known definitions for quantum Markov processes by accounting for all potentially detectable memory effects. We then derive a family of measures of non-Markovianity with clear operational interpretations, such as the size of the memory required to simulate a process, or the experimental falsifiability of a Markovian hypothesis.
Cite
@article{arxiv.1801.09811,
title = {Operational Markov condition for quantum processes},
author = {Felix A. Pollock and César Rodríguez-Rosario and Thomas Frauenheim and Mauro Paternostro and Kavan Modi},
journal= {arXiv preprint arXiv:1801.09811},
year = {2018}
}
Comments
5+3 pages, 4 figures; split off from earlier version of arXiv:1512.00589