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.
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Arnbjörg Soffía Árnadóttir and Chris Godsil acknowledge the support of C. Godsil’s NSERC (Canada), Grant No. RGPIN-9439.
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Árnadóttir, A.S., Godsil, C. On state transfer in Cayley graphs for abelian groups. Quantum Inf Process 22, 8 (2023). https://doi.org/10.1007/s11128-022-03751-y
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DOI: https://doi.org/10.1007/s11128-022-03751-y