arXiv Open Access 2022

Quantum state transfer on integral oriented circulant graphs

Xing-Kun Song

Lihat Sumber

Abstrak

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 $\PST$ (or $\MST$) 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 with fixed order having $\PST$ (or $\MST$).

Topik & Kata Kunci

math.CO

Penulis (1)

Xing-Kun Song

Format Sitasi

APA MLA BibTeX

Song, X. (2022). Quantum state transfer on integral oriented circulant graphs. https://arxiv.org/abs/2204.05026

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓