Generalized relative entropies and the capacity of classical-quantum channels

Milán Mosonyi, Nilanjana Datta

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41 Citations (Scopus)

Abstract

We provide lower and upper bounds on the information transmission capacity of one single use of a classical-quantum channel. The lower bound is expressed in terms of the Hoeffding capacity, which we define similarly to the Holevo capacity but replacing the relative entropy with the Hoeffding distance. Similarly, our upper bound is in terms of a quantity obtained by replacing the relative entropy with the recently introduced max-relative entropy in the definition of the divergence radius of a channel.

Original languageEnglish
Article number072104
JournalJournal of Mathematical Physics
Volume50
Issue number7
DOIs
Publication statusPublished - Aug 20 2009

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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