Algebraic Graph Theory-Hermie Monterde-Conrad-Quantum walks on infinite graphs

Abstract: A weighted graph G with countable vertex set is bounded if there is an upper bound on the maximum of the sum of absolute values of all edge weights incident to a vertex in G. Most work done on quantum walks focus on finite graphs. In this talk, we extend the theory to bounded infinite graphs and discuss results concerning the rarity of perfect state transfer. This is joint work with Chris Godsil, Steve Kirkland, Sarojini Mohapatra and Hiranmoy Pal.