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Texas A&M University
Mathematics

Linear Analysis Seminar

Summer 2019

 

Date:June 3, 2019
Time:11:00am
Location:BLOC 220
Speaker:Samuel Harris, University of Waterloo
Title:Matrix-valued Tsirelson Correlations
Abstract:Bipartite probabilistic correlations can be used to describe quantum behaviour in finite-input, finite-output systems involving two parties (Alice and Bob). In recent years, there has been a lot of progress in separating the correlation sets corresponding to different models of quantum mechanics. In this talk, we’ll consider a matrix-valued generalization of these correlations, which can be thought of as partial measurements on Alice and Bob’s system. We will see how we can separate certain models using matrix-valued correlations in situations where the analogous separations for probabilistic correlation sets are not known. This is based on joint work with Li Gao and Marius Junge.

Date:June 3, 2019
Time:3:00pm
Location:BLOC 220
Speaker:Marius Junge, University of Illinois at Urbana-Champaign
Title:Geometry and decay estimates in quantum information theory
Abstract:Decay estimates are central to several problems in quantum information theory. In this talk we will consider dynamical systems on state spaces and relate decay estimates to geometric properties of the generating Lindblad operator. In this analysis we follow the work of Carlen and Mass on entropy estimates and combine it with tools from noncommutative geometry. This is joint work with Li Gao, Haojian Li, and Nick LaRacuente.