Quantum state transfer on integral oriented circulant graphs

Xingkun Song

Applied Mathematics and Computation, 2024, vol. 464, issue C

Abstract: An oriented circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state transfer (MST for short) on integral oriented circulant graphs. Specifically, a characterization of PST and MST on integral oriented circulant graphs is provided. As an application, we also obtain a closed-form expression for the number of integral oriented circulant graphs having PST and MST.

Keywords: Perfect state transfer; Multiple state transfer; Integral graphs; Oriented circulant graphs (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:464:y:2024:i:c:s009630032300560x

DOI: 10.1016/j.amc.2023.128391

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