Capacity Estimates via Comparison with TRO Channels

Li Gao, Marius Junge, Nicholas LaRacuente

Research output: Contribution to journalArticle

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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Ternary
Ring
operators
Operator Space
Quantum Channel
rings
estimates
Operator
Estimate
Converse
Interpolate
Trace
Entropy
Partial
interpolation
entropy
matrices

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Capacity Estimates via Comparison with TRO Channels. / Gao, Li; Junge, Marius; LaRacuente, Nicholas.

In: Communications in Mathematical Physics, Vol. 364, No. 1, 01.11.2018, p. 83-121.

Research output: Contribution to journalArticle

Gao, Li ; Junge, Marius ; LaRacuente, Nicholas. / Capacity Estimates via Comparison with TRO Channels. In: Communications in Mathematical Physics. 2018 ; Vol. 364, No. 1. pp. 83-121.
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