度量调整的偏斜信息：凸性和超可加性的限制形式
Metric adjusted skew information: Convexity and restricted forms of superadditivity
摘要：
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。我们将以前弱形式的超可加性的结果推广到一般的度量调整偏斜信息。最近，Luo和Zhang在二分系统上引入了半量子态的概念，并证明了这种半量子态的Wigner-Yanase-Dyson斜信息的超可加性。我们将这一结果推广到一般的度量调整偏斜信息。我们最后表明，最近推出的扩展参数值$ 1<p\le 2 $的WYD信息是一个特殊的情况下（无界）度量调整偏斜信息。
英文摘要：
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 informations. 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 general metric adjusted skew informations. We finally show that a recently introduced extension to parameter values $ 1<p\le 2 $ of the WYD-information is a special case of (unbounded) metric adjusted skew information.
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