# Algebraic Graph Theory Seminar - Chris Godsil

Monday, January 17, 2022 — 11:30 AM EST

Title: Laplacian States

 Speaker: Chris Godsil Affiliation: University of Waterloo Zoom: Conatact Sabrina Lato

Abstract:

It is customary to assume that the initial state of a continuous quantum walk on a graph $X$ is a vertex. However the Laplacian matrix of a graph with vertex set $V(X)$ is positive semidefinite, and can be scaled to produce a density matrix, and so provides an initial state for a walk on $X$. Qiuting Chen and I have studied this set up, and this talk will present some of what we have learned, and some of the lot that we don’t know.

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