Conditional channel simulation

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JournalAnnals of Physics
DateAccepted/In press - 16 Nov 2018
DateE-pub ahead of print - 28 Nov 2018
DatePublished (current) - Jan 2019
Volume400
Number of pages14
Pages (from-to)289-302
Early online date28/11/18
Original languageEnglish

Abstract

In this work we design a specific simulation tool for quantum channels which is based on the use of a control system. This allows us to simulate an average quantum channel which is expressed in terms of an ensemble of channels, even when these channel-components are not jointly teleportation-covariant. This design is also extended to asymptotic simulations, continuous ensembles, and memory channels. As an application, we derive relative-entropy-of-entanglement upper bounds for private communication over various channels, from the amplitude damping channel to non-Gaussian mixtures of bosonic lossy channels. Among other results, we also establish the two-way quantum and private capacity of the so-called `dephrasure' channel.

Bibliographical note

8 pages. 1 figure. Comments are welcome
© 2018 Elsevier Inc. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy.

    Research areas

  • quant-ph

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