Capacity bounds via operator space methods

Li Gao, Marius Junge, Nicholas Laracuente

Research output: Contribution to journalArticle

Abstract

We prove that for generalized dephasing channels, the coherent information and reverse coherent information coincides. It also implies an alternative approach for the strong super-additivity and strong converse of generalized dephasing channels using the operator space technique. Our argument is based on an improved Rényi relative entropy estimate via analyzing the channel's Stinespring space. We also apply this estimate to new examples of quantum channels arising from quantum group co-representation and Kitave's quantum computation model. In particular, we find concrete examples of non-degradable channels that our estimates are tight and give a formula of nontrivial quantum capacity.

Original languageEnglish (US)
Article number122202
JournalJournal of Mathematical Physics
Volume59
Issue number12
DOIs
StatePublished - Dec 1 2018

Fingerprint

Operator Space
operators
Superadditivity
Estimate
Quantum Channel
Quantum Computation
Relative Entropy
Quantum Groups
Converse
estimates
Reverse
Imply
quantum computation
Alternatives
entropy
Model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Capacity bounds via operator space methods. / Gao, Li; Junge, Marius; Laracuente, Nicholas.

In: Journal of Mathematical Physics, Vol. 59, No. 12, 122202, 01.12.2018.

Research output: Contribution to journalArticle

Gao, Li ; Junge, Marius ; Laracuente, Nicholas. / Capacity bounds via operator space methods. In: Journal of Mathematical Physics. 2018 ; Vol. 59, No. 12.
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