Perfect quantum state transfer on Cayley graphs over dicyclic groups

ABSTRACT

Perfect state transfer has attracted much interest recently due to its significant applications in quantum information processing and cryptography. In this paper, we investigate perfect state transfer on Cayley graphs over dicyclic groups. Utilizing the representations and characters of dicyclic groups $T_{4n}$, some necessary and sufficient conditions for Cayley graphs over dicyclic groups admitting perfect state transfer are provided. By those results, some concrete constructions are presented.

KEYWORDS:

• Perfect state transfer
• cayley graph
• spectrum
• dicyclic group

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statements

All data included in this paper are available upon request by contact with the corresponding author.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 11771007, 12171241], Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications [grant number XK0070922026].