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SUMMARY:Quantum conditional mutual information - Omar Fawzi\, ENS de Lyon
DTSTART:20180504T110000Z
DTEND:20180504T120000Z
UID:TALK105562@talks.cam.ac.uk
CONTACT:Rachel Furner
DESCRIPTION:The Shannon and von Neumann entropies quantify the uncertainty
  in a system. They are operationally motivated by natural information proc
 essing tasks such as compression or randomness extraction. In addition to 
 characterizing the fundamental rates at which such tasks can be performed\
 , their additivity properties make them a very valuable tool in applicatio
 ns ranging from complexity theory to many-body systems.\nA difficulty that
  arises when dealing with quantum systems is the operational meaning of qu
 antum observers\, or the way to interpret conditional entropies. A particu
 larly interesting quantity is the mutual information between two systems c
 onditioned on a third quantum system. What notion of conditional independe
 nce does this quantity measure? After an overview of some operational inte
 rpretations of conditional entropies\, I will show how the quantum conditi
 onal mutual information can be related to the task of local recovery.
LOCATION:MR2 Centre for Mathematical Sciences
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