Metric adjusted skew information: Convexity and restricted forms of superadditivity

Details Metric adjusted skew information: Convexity and restricted forms of superadditivity Metric adjusted skew information: Convexity and restricted forms of superadditivity

2009-07-30

arxiv.org/abs/0907.5338v3

Physics

Mathematical Physics

An error in the literature is pointed out

Scientific paper

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

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