Perfect and multiple state transfer in oriented Cayley graphs

2025/10/10 by Ada Chan, Chan, Ada, Venkata Raghu Tej Pantangi +5
Computer Science · Physics and Astronomy · #05c25 #81Q35 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.2510.09873

openalex publication_date 2025/10/10 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

We study perfect state transfer and multiple state transfer in oriented normal Cayley graphs. We construct examples in a variety of groups, ranging from abelian to nonsolvable, and establish some general restrictions and nonexistence results.

Citations

• Oriented or signed Cayley graphs with all eigenvalues integer multiples of √Δ
• State Transfer in Complex Quantum Walks
• Why and how to add direction to a quantum walk
• Perfect State Transfer on Oriented Graphs
• Real State Transfer
• Uniform Mixing on Cayley Graphs

Related

• Perfect state transfer on bi-Cayley graphs over abelian groups
• Perfect State Transfer on Abelian Cayley Graphs
• Perfect state transfer on semi-Cayley graphs over abelian groups
• Perfect state transfer on Cayley graphs over a non-abelian group of order 8n
• State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs