On state transfer in Cayley graphs for abelian groups
Combinatorics
2022-12-14 v2 Quantum Physics
Abstract
In this paper, we characterize perfect state transfer in Cayley graphs for abelian groups that have a cyclic Sylow-2-subgroup. This generalizes a result of Ba\v{s}i\'c from 2013 where he provides a similar characterization for Cayley graphs of cyclic groups.
Keywords
Cite
@article{arxiv.2204.09802,
title = {On state transfer in Cayley graphs for abelian groups},
author = {Arnbjörg Soffía Árnadóttir and Chris Godsil},
journal= {arXiv preprint arXiv:2204.09802},
year = {2022}
}
Comments
21 pages, 1 figure