Metric-Adjusted Skew Information: Convexity and Restricted Forms of Superadditivity
Metric-Adjusted Skew Information: Convexity and Restricted Forms of Superadditivity
复制标题
DOI：
10.1007/s11005-010-0396-2
复制
发表时间：
2010-07-01
影响因子：
1.2
通讯作者：
Hansen, Frank
中科院分区：
文献类型：
--
作者：
Cai, Liang;Hansen, Frank
我们给出了一个真正的初等证明的凸性的度量调整偏斜信息后的一个想法的Effros。我们扩展较早的结果弱形式的超加性一般度量调整偏斜信息。最近，罗和张在二分系统上引入了半量子态的概念，并证明了此类态的Wigner-Yanase-Dyson倾斜信息的超可加性。我们将这一结果扩展到一般的度量调整偏斜信息。我们最后表明，最近引入的扩展参数值1 < p的WYD信息的千分之一货币符号2是（无界）度量调整的偏斜信息的特殊情况。
We give a truly elementary proof of the convexity of metric-adjusted skew information following an idea of Effros. We extend earlier results of weak forms of superadditivity to general metric-adjusted skew information. Recently, Luo and Zhang introduced the notion of semi-quantum states on a bipartite system and proved superadditivity of the Wigner-Yanase-Dyson skew informations for such states. We extend this result to the general metric-adjusted skew information. We finally show that a recently introduced extension to parameter values 1 < p a parts per thousand currency sign 2 of the WYD-information is a special case of (unbounded) metric-adjusted skew information.