Perfect state transfer on weighted abelian Cayley graphs

DOI10.1007/s11401-021-0283-4OpenAlexW3192458843MaRDI QIDQ2047235

Ying-Ying Tan, Xiwang Cao, Ke Qin Feng

Publication date: 19 August 2021

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-021-0283-4

zbMATH Keywords

Cayley graphweighted graphrandom walkperfect state transfereigenvalues of a graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Signed and weighted graphs (05C22) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum cryptography (quantum-theoretic aspects) (81P94)

Related Items (6)

Eigenvalues of Cayley graphs ⋮ State transfer on integral mixed circulant graphs ⋮ Quantum state transfer on integral oriented circulant graphs ⋮ Quantum state transfer on neighborhood corona of two graphs ⋮ Perfect state transfer on weighted bi-Cayley graphs over abelian groups ⋮ Perfect quantum state transfer on Cayley graphs over dicyclic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Further results on the perfect state transfer in integral circulant graphs
• Periodic graphs
• State transfer on graphs
• Perfect state transfer in integral circulant graphs
• Integral Cayley graphs over Abelian groups
• Rational G-matrices with rational eigenvalues
• Spectra of graphs with transitive groups
• Perfect state transfer on abelian Cayley graphs
• Complex Hadamard matrices, instantaneous uniform mixing and cubes
• QUANTUM STATE TRANSFER THROUGH A QUBIT NETWORK WITH ENERGY SHIFTS AND FLUCTUATIONS
• Exponential algorithmic speedup by a quantum walk
• A survey on integral graphs
• Bent Functions

This page was built for publication: Perfect state transfer on weighted abelian Cayley graphs