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SUMMARY:Compression of correlated quantum-classical sources\, or: the pric
 e of ignorance - Zahra Baghali Khanian (Universitat Autònoma de Barcelona
 )
DTSTART:20180723T154500Z
DTEND:20180723T163000Z
UID:TALK108265@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We resume the investigation of the problem of&nbsp\;  independ
 ent local compression of correlated quantum sources\,&nbsp\;  the classica
 l case of which is covered by the celebrated&nbsp\;  Slepian-Wolf theorem.
   We focus specifically on quantum-classical (qc) sources\,&nbsp\;  for wh
 ich one point of the rate region was previously&nbsp\;  determined by Deve
 tak and Winter. Whereas the Devetak-  Winter point attains a rate-sum equa
 l to the von Neumann&nbsp\;  entropy of the joint source\, here we show th
 at the full rate  region is much more complex due to the quantum nature of
 &nbsp\;  one of the sources. In particular\, we determine the full&nbsp\; 
  rate region in the generic case\, showing that all other&nbsp\;  points i
 n the achievable region have a rate sum strictly&nbsp\;  larger than the j
 oint entropy. We can interpret the difference&nbsp\;  as the price paid fo
 r the quantum encoder being ignorant&nbsp\;  of the classical side informa
 tion. In the general case\, we&nbsp\;  give an achievable rate region\, vi
 a protocols that are built&nbsp\;  on the decoupling principle\, state mer
 ging and state&nbsp\;  redistribution. It is matched almost by a single-le
 tter\,&nbsp\;  but still asymptotic\, converse.  <br><br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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