Quantum Walks on Graphs and Group State Transfer

Explore the fascinating intersection of quantum mechanics and graph theory in this 38-minute lecture by William Martin from Worcester Polytechnic Institute. Delve into the concept of continuous quantum walks on graphs and their applications in perfect state transfer. Examine the block structure of graphs and its implications for group state transfer. Investigate the partial order associated with state transfer and analyze concrete examples. Gain insights into state transfer on sets and engage with thought-provoking questions in this advanced talk from the Workshop on Algebraic Graph Theory and Quantum Information at the Fields Institute.

Introduction
Continuous Quantum Walk
Perfect State Transfer
Basic Facts
Block Structure
GroupState Transfer
Partial Order
Proof
Examples
State Transfer on Sets
Questions