Inequalities for quantum skew information

Koenraad Audenaert, Liang Cai, Frank Hansen

研究成果: Article査読

17 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)135-146
ページ数12
ジャーナルLetters in Mathematical Physics
85
2-3
DOI
出版ステータスPublished - 2008 9月
外部発表はい

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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