Quantum reverse hypercontractivity: its tensorization and application to strong converses

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

• Cambyse Rouzé (University of Cambridge - OLD)
• Friday 27 July 2018, 11:00-11:45
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact INI IT.

MQIW05 - Beyond I.I.D. in information theory

Hypercontractivity and log-Sobolev inequalities have found interesting applications in information theory in the past few years. In particular, recently a strong converse bound for the hypothesis testing problem have been proven based on the reverse hypercontractivity inequalities. This talk is about the generalization of this application to the quantum setting. First, the theory of quantum reverse hypercontractivity and its equivalence with the log-Sobolev inequalities will be discussed. To this end, the problem of the tensorization of quantum hypercontractivity inequalities will be addressed. Next, it is shown how quantum reverse hypercontractivity inequalities can be used for proving strong converse bounds in the quantum setting.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.