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SUMMARY:A Classical Analog to Entanglement Reversibility - University of T
 echnology Sydney
DTSTART:20150501T110000Z
DTEND:20150501T120000Z
UID:TALK59378@talks.cam.ac.uk
CONTACT:Sergii Strelchuk
DESCRIPTION:In this letter we introduce the problem of secrecy reversibili
 ty. This asks when two honest parties can distill secret bits from some tr
 ipartite distribution pXYZ and transform secret bits back into pXYZ at equ
 al rates using local operation and public communication (LOPC). This is th
 e classical analog to the well-studied problem of reversibly concentrating
  and diluting entanglement in a quantum state. We identify the structure o
 f distributions possessing reversible secrecy when one of the honest parti
 es holds a binary distribution\, and it is possible that all reversible di
 stributions have this form. These distributions are more general than what
  is obtained by simply constructing a classical analog to the family of qu
 antum states known to have reversible entanglement. An indispensable tool 
 used in our analysis is a conditional form of the Gacs-Korner Common Infor
 mation.
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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