Skip to main content
Pretty good state transfer among large sets of vertices
Abstract
In a continuous-time quantum walk on a network of qubits, pretty good state transfer is the phenomenon of state transfer between two vertices with fidelity arbitrarily close to 1. We construct families of graphs to demonstrate that there is no bound on the size of a set of vertices that admits pretty good state transfer between any two vertices of the set.
Mathematics Subject Classifications: 05C50, 05C38
Keywords: Continuous-time quantum walks, pretty good state transfer