Inequalities for quantum skew information

被引：13
|
作者：
Audenaert, Koenraad [1 ]
Cai, Liang [2 ]
Hansen, Frank [3 ]
机构：
[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
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 85卷 / 2-3期
关键词：
quantum covariance; metric adjusted skew information; Robertson-type uncertainty principle; operator monotone function; Wigner-Yanase-Dyson skew information;
D O I：
10.1007/s11005-008-0269-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
引用
收藏
页码：135 / 146
页数：12
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