State transfer on integral mixed circulant graphs
Xing-Kun Song, Huiqiu Lin
TL;DR
This paper investigates the conditions under which perfect and multiple state transfer occur in integral mixed circulant graphs, contributing to quantum information transfer understanding.
Contribution
It provides necessary and sufficient conditions for PST and MST in integral mixed circulant graphs, advancing the theoretical framework for quantum state transfer.
Findings
Identifies conditions for PST in integral mixed circulant graphs
Establishes criteria for MST in these graphs
Enhances understanding of quantum state transfer mechanisms
Abstract
A mixed 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 mixed circulant graphs. Concretely, we provide sufficient and necessary conditions for the existence of PST and MST between specified pairs of vertices on integral mixed circulant graphs, respectively.
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Taxonomy
TopicsGraph theory and applications · Matrix Theory and Algorithms · Molecular spectroscopy and chirality