Speaker: Mark Kempton
Title: Quantum Walks on Graphs
Abstract: Algebraic and spectral techniques in graph theory have recently found important application in quantum information theory via the study information transfer through networks of interacting qubits. Of particular interest is the problem of determining when a quantum state can be transferred perfectly through such a network, and this has been shown to be modeled by a so-called “quantum walk” on a graph. I will discuss results on perfect and approximately perfect state transfer in this context in perturbations of various classes of graphs.