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

Liang Cai, Frank Hansen

研究成果: Article査読

17 被引用数 (Scopus)

抄録

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 ≤ 2 of the WYD-information is a special case of (unbounded) metric-adjusted skew information.

本文言語English
ページ(範囲)1-13
ページ数13
ジャーナルLetters in Mathematical Physics
93
1
DOI
出版ステータスPublished - 2010

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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