Mathematical Sciences Department QIT Thinking Seminar: Xiaohong Zhang, University of Montréal

Wednesday, September 25

11:00am – 11:50am

Olin Hall 218 

Title:  Continuous quantum walks

Abstract: Let M be the adjacency matrix or the Laplacian matrix of a graph X. The transition operator at time t for the continuous quantum walk on X relative to M is defined as U(t) = exp(itM). Depending on whether there exists a time t such that some entries of U(t) have special values, several quantum state transfer phenomena can be defined. In this presentation, I will discuss some of these special transfers, how different weightings of the graph influence these transfer properties, and explore interesting algebraic and spectral graph theory problems that arise from quantum walks.