Perfect state transfer on distance-regular graphs and association schemes
Combinatorics
2018-05-23 v1 Quantum Physics
Abstract
We consider the representation of a continuous-time quantum walk in a graph by the matrix . 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.
Cite
@article{arxiv.1401.1745,
title = {Perfect state transfer on distance-regular graphs and association schemes},
author = {Gabriel Coutinho and Chris Godsil and Krystal Guo and Frédéric Vanhove},
journal= {arXiv preprint arXiv:1401.1745},
year = {2018}
}
Comments
32 pages