Inequalities for quantum skew information
Inequalities for quantum skew information
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DOI：
10.1007/s11005-008-0269-0
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发表时间：
2008-09-01
影响因子：
1.2
通讯作者：
Hansen, Frank
中科院分区：
文献类型：
--
作者：
Audenaert, Koenraad;Cai, Liang;Hansen, Frank
研究了量子信息不等式，证明了量子方差与度量调整的偏斜信息之间的基本不等式可以产生许多作者所研究的所有多算子矩阵不等式或Robertson型行列式不等式.我们介绍了一个顺序关系上的一组功能表示量子Fisher信息，使一组成一个格的对合。这种顺序结构产生新的不等式的度量调整偏斜信息。特别地，Wigner-Yanase偏斜信息是Wigner-Yanase-Dyson偏斜信息集合中关于该阶结构的最大偏斜信息。
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.