CB-norm estimates for maps between noncommutative Lp-spaces and quantum channel theory

Marius Junge, Carlos Palazuelos

Research output: Contribution to journalArticlepeer-review

Abstract

In the first part of this work, we show how certain techniques from quantum information theory can be used in order to obtain very sharp embeddings between noncommutative Lp-spaces. Then, we use these estimates to study the classical capacity with restricted assisted entanglement of the quantum erasure channel and the quantum depolarizing channel. In particular, we exactly compute the capacity of the first one and we show that certain nonmultiplicative results hold for the second one.

Original languageEnglish (US)
Pages (from-to)875-925
Number of pages51
JournalInternational Mathematics Research Notices
Volume2016
Issue number3
DOIs
StatePublished - Jan 1 2016

ASJC Scopus subject areas

  • Mathematics(all)

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