Quantum fractional revival on unitary Cayley graphs over finite commutative rings
Rings and Algebras
2026-01-15 v2 Combinatorics
Abstract
In this paper, we investigate the existence of quantum fractional revival in unitary Cayley graphs over finite commutative rings with identity. We characterize all finite local rings that permit quantum fractional revival in their unitary Cayley graphs. Additionally, we present results for the case of finite commutative rings, as they can be expressed as products of finite local rings.
Keywords
Cite
@article{arxiv.2504.03644,
title = {Quantum fractional revival on unitary Cayley graphs over finite commutative rings},
author = {Saowalak Jitngam and Poom Kumam and Songpon Sriwongsa},
journal= {arXiv preprint arXiv:2504.03644},
year = {2026}
}
Comments
More examples have been added and the results in Section 3.2 have been revised