Average versus maximal coherence

doi:10.1016/j.physleta.2019.06.027

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	Average versus maximal coherence
	Luo, Shunlong1,2 ; Sun, Yuan 1,2
刊名	PHYSICS LETTERS A
	2019-08-22
卷号	383 期号:24 页码:2869-2873
关键词	Wigner-Yanase skew information Average coherence Maximal coherence Relative entropy of coherence
ISSN号	0375-9601
DOI	10.1016/j.physleta.2019.06.027
英文摘要	Coherence is a fundamental feature of quantum mechanics and plays a crucial role in the quantum realm. The issue of quantification of coherence has received considerable interests in recent years, and a variety of coherence quantifiers have been introduced. With these measures, one can investigate coherence in a more quantitative way. Based on the Wigner-Yanase skew information, we evaluate average coherence of a state with respect to arbitrary mutually unbiased bases as well as with respect to all orthonormal bases, and demonstrate their equivalence. We further evaluate the maximum coherence, and reveal a remarkable fact that in high dimensions, the coherence of a generic state is nearly maximal with respect to almost all reference bases. A similar concentration phenomenon also manifests itself when the coherence is quantified by the relative entropy of coherence. This observation concerning the almost equivalence between the average coherence and the maximal coherence for generic states may have theoretical implications for quantum information and quantum thermodynamics. (C) 2019 Elsevier B.V. All rights reserved.
资助项目	National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152151]
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000482521800007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35599]
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Sun, Yuan. Average versus maximal coherence[J]. PHYSICS LETTERS A,2019,383(24):2869-2873.
APA	Luo, Shunlong,&Sun, Yuan.(2019).Average versus maximal coherence.PHYSICS LETTERS A,383(24),2869-2873.
MLA	Luo, Shunlong,et al."Average versus maximal coherence".PHYSICS LETTERS A 383.24(2019):2869-2873.