Quantifying quantum non-Markovianity via max-relative entropy

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

中国物理B ›› 2019, Vol. 28 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/28/4/040301

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Quantifying quantum non-Markovianity via max-relative entropy

Yu Luo(罗宇), Yongming Li(李永明)

College of Computer Science, Shaanxi Normal University, Xi'an 710062, China

收稿日期:2018-11-27 修回日期:2019-01-21 出版日期:2019-04-05 发布日期:2019-04-05
通讯作者: Yongming Li E-mail:liyongm@snnu.edu.cn
基金资助:
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).

Quantifying quantum non-Markovianity via max-relative entropy

Yu Luo(罗宇), Yongming Li(李永明)

College of Computer Science, Shaanxi Normal University, Xi'an 710062, China

Received:2018-11-27 Revised:2019-01-21 Online:2019-04-05 Published:2019-04-05
Contact: Yongming Li E-mail:liyongm@snnu.edu.cn
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: non-Markovian, max-relative entropy, open systems

Abstract:

Key words: non-Markovian, max-relative entropy, open systems

中图分类号: (Quantum information)

03.67.-a

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.67.Bg (Entanglement production and manipulation)

罗宇, 李永明. Quantifying quantum non-Markovianity via max-relative entropy[J]. 中国物理B, 2019, 28(4): 40301-040301.

Yu Luo(罗宇), Yongming Li(李永明). Quantifying quantum non-Markovianity via max-relative entropy[J]. Chin. Phys. B, 2019, 28(4): 40301-040301.

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Quantifying quantum non-Markovianity via max-relative entropy

Quantifying quantum non-Markovianity via max-relative entropy

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