Quantifying quantum non-Markovianity via max-relative entropy

doi:10.1088/1674-1056/28/4/040301

Abstract

We investigate the non-Markovian behavior in open quantum systems from an information-theoretic perspective. Our main tool is the max-relative entropy, which quantifies the maximum probability with which a state ρ can appear in a convex decomposition of a state σ. This operational interpretation provides a new view for the non-Markovian process. We also find that max-relative entropy can be the witness and measure of non-Markovian processes. As applications, some examples are also given and compared with other measures in this paper.

Keywords: non-Markovian max-relative entropy open systems

Received: 27 November 2018
Revised: 21 January 2019
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	03.67.Bg	(Entanglement production and manipulation)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11671244) and the Research Funds for the Central Universities (Grant Nos. 2016TS060 and 2016CBY003).

Corresponding Authors: Yongming Li
E-mail: liyongm@snnu.edu.cn

Cite this article:

Yu Luo(罗宇), Yongming Li(李永明) Quantifying quantum non-Markovianity via max-relative entropy 2019 Chin. Phys. B 28 040301

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