Analysis and Probability Seminar Mar. 6, 2015

Friday, March 6, 2015 (12:45 p.m. in Yost 306)

Title: Matrix Inequalities and Applications II

Speaker: Ben Li (Graduate Student, Case Western Reserve University MAMS Department)

Abstract: We continue to present classical matrix inequalities. In this talk we show the Fuchs-van de Graaf inequalities, which relatetwo “distances” measuring the closeness of twoquantumstates (or of two probability densities): fidelity and the 1-norm. Next, combining with Rotfeld’s inequality, we sketch some of their applications to the geometry of Schatten spaces and to quantum information theory.

The talk is largely independent from the first lecture.

Leave a Reply

Your email address will not be published. Required fields are marked *