Algebraic Graph Theory Seminar

Title: Edge State Transfer

Abstract: Most research about quantum state transfer on graphs use adjacency matrices as their Hamiltonians and investigate the transfers between single vertex states. Edge state transfers use Laplacians as Hamiltonians and study the transfers between edge states, i.e., vertex-pair states. In this talk, I will mainly introduce the constructions of perfect edge state transfers using complements and Cartesian products of graphs and the “transitivity” phenomenon when some certain type of perfect edge state transfer happens.