Inequalities for quantum skew information

doi:10.1007/s11005-008-0269-0

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	Inequalities for quantum skew information
	Audenaert, Koenraad 1; Cai, Liang 2; Hansen, Frank 3
	2008-09-01
发表期刊	LETTERS IN MATHEMATICAL PHYSICS
ISSN	0377-9017
卷号	85 期号:2-3 页码:135-146
摘要	We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner-Yanase-Dyson skew informations.
关键词	quantum covariance metric adjusted skew information Robertson-type uncertainty principle operator monotone function Wigner-Yanase-Dyson skew information
DOI	10.1007/s11005-008-0269-0
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000259672300004
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/5606
专题	中国科学院数学与系统科学研究院
通讯作者	Audenaert, Koenraad
作者单位	1.Univ London, Dept Math, Egham TW20 0EX, Surrey, England 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Univ Copenhagen, Dept Econ, DK-1455 Copenhagen K, Denmark
推荐引用方式 GB/T 7714	Audenaert, Koenraad,Cai, Liang,Hansen, Frank. Inequalities for quantum skew information[J]. LETTERS IN MATHEMATICAL PHYSICS,2008,85(2-3):135-146.
APA	Audenaert, Koenraad,Cai, Liang,&Hansen, Frank.(2008).Inequalities for quantum skew information.LETTERS IN MATHEMATICAL PHYSICS,85(2-3),135-146.
MLA	Audenaert, Koenraad,et al."Inequalities for quantum skew information".LETTERS IN MATHEMATICAL PHYSICS 85.2-3(2008):135-146.