Skew Information Revisited: Its Variants and a Comparison of Them

doi:10.1134/S0040577920010092

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	Skew Information Revisited: Its Variants and a Comparison of Them
	Luo, Shunlong; Sun, Yuan
	2020
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	202 期号:1 页码:104-111
摘要	Skew information was introduced by Wigner and Yanase in the context of quantum measurements. It was later recognized that skew information in addition to its original significance as a measure of the information content of states admits several interpretations of a more physical and information theory nature. This quantity has now found many applications in quantum information. An intriguing and subtle feature of skew information is the involvement of the square root of quantum states (density operators). Comparing skew information with some of its natural modifications reveals mathematical and also physical reasons for using the square root. We further use skew information to quantify the asymmetry of quantum states with respect to group representations.
关键词	skew information square root convexity quantum coherence variance
DOI	10.1134/S0040577920010092
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152K51]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000521153500009
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50993
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Sun, Yuan. Skew Information Revisited: Its Variants and a Comparison of Them[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2020,202(1):104-111.
APA	Luo, Shunlong,&Sun, Yuan.(2020).Skew Information Revisited: Its Variants and a Comparison of Them.THEORETICAL AND MATHEMATICAL PHYSICS,202(1),104-111.
MLA	Luo, Shunlong,et al."Skew Information Revisited: Its Variants and a Comparison of Them".THEORETICAL AND MATHEMATICAL PHYSICS 202.1(2020):104-111.