A correlation measure detecting almost all non-Markovian evolutions
Quantum Physics
2019-11-12 v2
Abstract
We investigate the ability of correlation measures to witness non-Markovian open quantum system dynamics. It is shown that the mutual information and any entanglement measure between the system and an ancilla do not witness all non-Markovian dynamics. A correlation measure is introduced, and it is proven that, in an enlarged setting with two ancillary systems, this measure detects almost all non-Markovian dynamics, except possibly a zero-measure set of dynamics that is non-bijective in finite time-intervals. Our proof is constructive and provides different initial states detecting the non-Markovian evolutions. These states are all separable and some are arbitrarily close to a product state.
Keywords
Cite
@article{arxiv.1805.00920,
title = {A correlation measure detecting almost all non-Markovian evolutions},
author = {Dario De Santis and Markus Johansson and Bogna Bylicka and Nadja K. Bernardes and Antonio Acín},
journal= {arXiv preprint arXiv:1805.00920},
year = {2019}
}
Comments
5+7 pages, 1 figure