On state transfer in Cayley graphs for abelian groups
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 Bašić from 2013 where he provides a similar characterization for Cayley graphs of cyclic groups.
- Publication:
-
Quantum Information Processing
- Pub Date:
- January 2023
- DOI:
- 10.1007/s11128-022-03751-y
- arXiv:
- arXiv:2204.09802
- Bibcode:
- 2023QuIP...22....8A
- Keywords:
-
- Quantum walks;
- Perfect state transfer;
- Cayley graphs;
- Mathematics - Combinatorics;
- Quantum Physics
- E-Print:
- 21 pages, 1 figure