Uniform mixing in continuous-time quantum walks on oriented, nonabelian Cayley graphs

2025/10/09 by Peter Sin, Sin, Peter
Computer Science · #05C25 81Q35 #Combinatorics (math.CO) #Complexity and Algorithms in Graphs #FOS: Mathematics #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2510.08376

openalex publication_date 2025/10/09 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

Abstract

A family of oriented, normal, nonabelian Cayley graphs is presented, whose continuous-time quantum walks exhibit uniform mixing.

Citations

• Oriented or signed Cayley graphs with all eigenvalues integer multiples of √Δ
• Uniform Mixing on Cayley Graphs
• Complex Hadamard Matrices, Instantaneous Uniform Mixing and Cubes
• Uniform Mixing and Association Schemes
• Quantum Walks on the Hypercube

Related

• Uniform Mixing on Cayley Graphs
• Mixing in Continuous Quantum Walks on Graphs
• Continuous-time Quantum Walks on Cayley Graphs of Extraspecial Groups
• Uniform Mixing and Association Schemes
• A note on graphs resistant to quantum uniform mixing