Capacity Estimates via Comparison with TRO Channels

Li Gao, Marius Junge, Nicholas LaRacuente

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Abstract

A ternary ring of operators (TRO) in finite dimensions is an operator space as an orthogonal sum of rectangular matrices. TROs correspond to quantum channels that are diagonal sums of partial traces, we call TRO channels. TRO channels have simple, single-letter entropy expressions for quantum, private, and classical capacity. Using operator space and interpolation techniques,we perturbatively estimate capacities, capacity regions, and strong converse rates for a wider class of quantum channels by comparison to TRO channels.

Original languageEnglish (US)
Pages (from-to)83-121
Number of pages39
JournalCommunications in Mathematical Physics
Volume364
Issue number1
DOIs
StatePublished - Nov 1 2018

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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