Department of Mathematical Sciences
QIT Thinking Seminar
Wednesday, September 17th, 2025
4:00PM-4:50PM
Stratton Hall 207
Speaker: Harmony Zhan, WPI
Title: An introduction to continuous-time quantum walks
Abstract: A continuous-time quantum walk models the evolution of a quantum system under a time-independent Hamiltonian. We can represent such a system by a graph, where each vertex encodes a qubit, and each edge encodes the interaction between two qubits. This talk introduces continuous-time quantum walks whose Hamiltonians are determined by the adjacency matrices or the Laplacian matrices. We will survey some interesting behaviors of the walk and explain them using the spectral information of the graph.