Arthur Mehta, Department of Pure Mathematics, University of Waterloo
"An Introduction to Quantum Graphs, Chromatic Numbers and Lovász Inequalties"
Quantum graph theory, also known as non-commutative graph theory, is an operator system generalization of graph theory. Quantum graphs were first used to extend the notion of one-shot-zero-error capacity of a "Noisy Channel" to "Quantum Channels" . In this talk we go over some of this original motivation and generalize several key graph theory parameters. We will also look at attempts made to define the complement of a Quantum graph and generalize the famous Lovász inequality.