Quantum-to-classical rate distortion coding

Nilanjana Datta, Min Hsiu Hsieh, Mark M. Wilde, Andreas Winter

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)

Abstract

We establish a theory of quantum-to-classical rate distortion coding. In this setting, a sender Alice has many copies of a quantum information source. Her goal is to transmit a classical description of the source, obtained by performing a measurement on it, to a receiver Bob, up to some specified level of distortion. We derive a single-letter formula for the minimum rate of classical communication needed for this task. We also evaluate this rate in the case in which Bob has some quantum side information about the source. Our results imply that, in general, Alice's best strategy is a non-classical one, in which she performs a collective measurement on successive outputs of the source. © 2013 American Institute of Physics.
Original languageEnglish
Article number042201
JournalJournal of Mathematical Physics
Volume54
DOIs
Publication statusPublished - 2 Apr 2013

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