Classical Analog to Entanglement Reversibility

Eric Chitambar, Ben Fortescue, Min Hsiu Hsieh

Research output: Contribution to journalArticlepeer-review

Abstract

In this Letter we study the problem of secrecy reversibility. This asks when two honest parties can distill secret bits from some tripartite distribution pXYZ and transform secret bits back into pXYZ at equal rates using local operation and public communication. This is the classical analog to the well-studied problem of reversibly concentrating and diluting entanglement in a quantum state. We identify the structure of distributions possessing reversible secrecy when one of the honest parties holds a binary distribution, and it is possible that all reversible distributions have this form. These distributions are more general than what is obtained by simply constructing a classical analog to the family of quantum states known to have reversible entanglement. An indispensable tool used in our analysis is a conditional form of the Gács-Körner common information.

Original languageEnglish (US)
Article number090501
JournalPhysical review letters
Volume115
Issue number9
DOIs
StatePublished - Aug 27 2015
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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