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Optimal 2-uniform convexity of Schatten classes revisited

Functional Analysis 2020-11-03 v1 Mathematical Physics math.MP Quantum Physics

Abstract

The optimal 2-uniform convexity of Schatten classes Sp,1<p2S_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.

Keywords

Cite

@article{arxiv.2011.00354,
  title  = {Optimal 2-uniform convexity of Schatten classes revisited},
  author = {Haonan Zhang},
  journal= {arXiv preprint arXiv:2011.00354},
  year   = {2020}
}