|Thursday 2 July 2020|
|Events for day: Wednesday 28 November 2018|
| 12:00 - 13:15 Analysis Seminar|
Quantum Reverse Hypercontractivity: Its Tensorization and Applications to the Hypothesis Testing Problem
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 hypercont ...
16:00 - 17:00 Mathematics Colloquium
We propose a wide-audience introduction to the notion of aperiodic order and its connections with numerous domain, as theoretical computer science, dynamical systems, combinatorics or discrete geometry, as well as motivations coming from condensed matter physics, namely quasicrystals. We shall in particular focus on aperiodic tilings characterized only by local constraints and bring a home-made aperiodic puzzle the audience can play with in order to better understand the concepts. ...