Analysis Seminar
Thursday, 1 February 2024, 3.30 pm
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Venue: meet.google.com/fxo-yvfh-avr
Host: Santanu Dey
Speaker: Repana Devendra
Affiliation: IIT Madras
Title: C*-extreme points of unital entanglement breaking maps on matrix algebras.
Abstract: In this talk, we discuss various characterizations of C*-extreme points of the C*-convex set of unital entanglement breaking (EB-) maps on matrix algebras. A key contribution is made through the establishment of a Radon-Nikodym type theorem for a specific class of EB-maps, offering a comprehensive understanding of these points. Additionally, a noncommutative counterpart to the Krein-Milman theorem is derived for
C*-convexity within the set of unital EB- maps. Lastly, we highlight the significant connection between C*-extreme points and the notion of degradability in the context of quantum information theory.