Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599066 | Linear Algebra and its Applications | 2015 | 23 Pages |
Abstract
We consider the representation of a continuous-time quantum walk in a graph X by the matrix exp(−itA(X))exp(−itA(X)). We provide necessary and sufficient criteria for distance-regular graphs and, more generally, for graphs in association schemes to have perfect state transfer. Using these conditions, we provide several new examples of perfect state transfer in simple graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
G. Coutinho, C. Godsil, K. Guo, F. Vanhove,