On convexity of generalized Wigner-Yanase-Dyson information

doi:10.1007/s11005-008-0222-2

CSpace > 应用数学研究所

	On convexity of generalized Wigner-Yanase-Dyson information
	Cai, Liang; Luo, Shunlong
	2008-03-01
发表期刊	LETTERS IN MATHEMATICAL PHYSICS
ISSN	0377-9017
卷号	83 期号:3 页码:253-264
摘要	The convexity of the Wigner-Yanase-Dyson information, as first proved by Lieb, is a deep and fundamental result because it leads to the strong subadditivity of quantum entropy. The Wigner-Yanase-Dyson information is a particular kind of quantum Fisher information with important applications in quantum estimation theory. But unlike the quantum entropy, which is the unique natural quantum extension of the classical Shannon entropy, there are many different variants of quantum Fisher information, and it is desirable to investigate their convexity. This article is devoted to studying the convexity of a direct generalization of the Wigner-Yanase-Dyson information. Some sufficient conditions are obtained, and some necessary conditions are illustrated. In a particular case, a surprising necessary and sufficient condition is obtained. Our results reveal the intricacy and subtlety of the convexity issue for general quantum Fisher information.
关键词	Wigner-Yanase-Dyson information convexity quantum Fisher information operator convex functions Morozova-Chentsov functions
DOI	10.1007/s11005-008-0222-2
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000253572600005
出版者	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/6630
专题	应用数学研究所
通讯作者	Cai, Liang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cai, Liang,Luo, Shunlong. On convexity of generalized Wigner-Yanase-Dyson information[J]. LETTERS IN MATHEMATICAL PHYSICS,2008,83(3):253-264.
APA	Cai, Liang,&Luo, Shunlong.(2008).On convexity of generalized Wigner-Yanase-Dyson information.LETTERS IN MATHEMATICAL PHYSICS,83(3),253-264.
MLA	Cai, Liang,et al."On convexity of generalized Wigner-Yanase-Dyson information".LETTERS IN MATHEMATICAL PHYSICS 83.3(2008):253-264.