Speaker:  David Kribs (Guelph)

Abstract:  In this talk, I'll discuss some of my work with collaborators over the last few years on a basic problem in quantum communication and quantum information. Distinguishing sets of quantum states when each participant can implement local quantum operations, but for which the parties can only communicate using classical means, is a problem that arises in many applications of quantum technologies, and especially those that involve hybrid classical and quantum devices. This so-called local operations and classical communication (LOCC) framework turns out to have an interesting underlying theory as well, which is (in my view) relatively underdeveloped. After introducing notation, the mathematical setting, and some examples, I'll present some of the results we've been able to derive, emphasizing how we've been able to use aspects of graph and operator theory.