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SUMMARY:Quantum reverse hypercontractivity - Ashley Montanaro
DTSTART:20160224T160000Z
DTEND:20160224T170000Z
UID:TALK64773@talks.cam.ac.uk
CONTACT:Mr. Cambyse Rouzé
DESCRIPTION:The theory of hypercontractivity and the closely related conce
 pt of log-Sobolev inequalities have become a fundamental tool in probabili
 ty\, computer science\, and information theory. Recently\, generalisations
  of these ideas to quantum information theory have also proven fruitful. I
 n this talk I will discuss a quantum generalisation of a "reverse" version
  of a hypercontractive inequality\, whose classical case was due to Mossel
 \, Oleszkiewicz and Sen. Applications include a rapid mixing result for de
 polarising noise applied to large subspaces\, and bounds on a quantum gene
 ralisation of non-interactive correlation distillation.\n\nJoint work with
  Toby Cubitt\, Michael Kastoryano and Kristan Temme. arXiv:1504.06143.\n
LOCATION:MR14\, Centre for Mathematical Sciences
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