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SUMMARY:Entropy contraction of GNS-symmetric quantum channels - Li Gao\, W
 uhan University
DTSTART:20241209T140000Z
DTEND:20241209T150000Z
UID:TALK225457@talks.cam.ac.uk
CONTACT:Subhayan Roy Moulik
DESCRIPTION:Quantum relative entropy is a fundamental measure in quantum i
 nformation theory. The key property behind its wide applications is the mo
 notonicity over quantum channels\, called data processing inequality. In t
 his talk\, I will present an improved data processing inequality that rela
 tive entropy becomes strictly smaller for GNS symmetric quantum channel. A
 s an application\, this gives a tight relative entropy decay rate of quant
 um Markov semigroups. \nThis talk is based on a joint work with Marius Jun
 ge\, Nicholas LaRacuente and Haojian Li.\n\n
LOCATION:MR19
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