Optimal 2-uniform convexity of Schatten classes revisited

Abstract

The optimal 2-uniform convexity of Schatten classes $S_p,1<p\le 2$ was first proved by Ball, Carlen and Lieb \cite{BCL94}. In this note we revisit this result using multiple operator integrals and generalized monotone metrics in quantum information theory.

References in corpus (1)

• Complete Sobolev Type Inequalities