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SUMMARY:Renyi relative entropies in quantum information theory - Milan Mos
 onyi (University of Bristol)
DTSTART:20111124T141500Z
DTEND:20111124T151500Z
UID:TALK33969@talks.cam.ac.uk
CONTACT:Paul Skrzypczyk
DESCRIPTION:In many fundamental problems of information theory and statist
 ics\, the efficiency of an asymptotically optimal protocol can be expresse
 d by the relative entropy of certain states\, or some derived quantity of 
 it (entropy\, conditional entropy\, mutual information\, etc.). In a more 
 detailed analysis of these protocols\, e.g.\, in the study of the exact de
 cay rates of the relevant error probabilities\, the efficiency is usually 
 characterized by a Renyi relative entropy or a related quantity (like the 
 Chernoff and the Hoeffding distances). In this talk I demonstrate the cent
 ral importance of the Renyi relative entropies through a number of problem
 s\, including the  discrimination of correlated quantum states\, data comp
 ression\, classical-quantum channel coding and the reversibility of quantu
 m operations.
LOCATION:MR4\, Centre for Mathematical Sciences
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