Algebraic Graph Theory Seminar - Thomas Wong
Title: Equivalent Laplacian and Adjacency Quantum Walks on Irregular Graphs
Speaker: | Thomas Wong |
Affiliation: | Creighton University |
Zoom: | Contact Soffia Arnadottir |
Abstract:
The continuous-time quantum walk is a particle evolving by Schrödinger's equation in discrete space. Encoding the space as a graph of vertices and edges, the Hamiltonian is proportional to the discrete Laplacian. In some physical systems, however, the Hamiltonian is proportional to the adjacency matrix instead.