University of Cambridge > Talks.cam > Cambridge Analysts' Knowledge Exchange > Quantum reverse hypercontractivity

Quantum reverse hypercontractivity

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Mr. Cambyse Rouzé.

The theory of hypercontractivity and the closely related concept of log-Sobolev inequalities have become a fundamental tool in probability, computer science, and information theory. Recently, generalisations of these ideas to quantum information theory have also proven fruitful. In 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 depolarising noise applied to large subspaces, and bounds on a quantum generalisation of non-interactive correlation distillation.

Joint work with Toby Cubitt, Michael Kastoryano and Kristan Temme. arXiv:1504.06143.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity