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SUMMARY:Quantum reverse hypercontractivity: its tensorization and applicat
 ion to strong converses - Cambyse Rouzé (University of Cambridge - OLD)
DTSTART:20180727T100000Z
DTEND:20180727T104500Z
UID:TALK108424@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Hypercontractivity and log-Sobolev inequalities have found int
 eresting applications in information theory in the past few years. In part
 icular\, recently a strong converse bound for the hypothesis testing probl
 em have been proven based on the reverse hypercontractivity inequalities. 
 This talk is about the generalization of this application to the quantum s
 etting. First\, the theory of quantum reverse hypercontractivity and its e
 quivalence with the log-Sobolev inequalities will be discussed. To this en
 d\, the problem of the tensorization of quantum hypercontractivity inequal
 ities will be addressed. Next\, it is shown how quantum reverse hypercontr
 activity inequalities can be used for proving strong converse bounds in th
 e quantum setting.<br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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