Perfect state transfer on Cayley graphs over dihedral groups

DOI10.1080/03081087.2019.1599805zbMath1459.05117OpenAlexW2927183992MaRDI QIDQ4965594

Ke Qin Feng, Xiwang Cao

Publication date: 6 March 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1599805

zbMATH Keywords

Cayley graphsdihedral groupseigenvalues of a graphperfect state transfers

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (17)

Perfect quantum state transfer on Cayley graphs over semi-dihedral groups ⋮ Eigenvalues of Cayley graphs ⋮ State transfers in vertex complemented coronas ⋮ Continuous-time quantum walks on Cayley graphs of extraspecial groups ⋮ State transfer on integral mixed circulant graphs ⋮ Quantum state transfer on integral oriented circulant graphs ⋮ Quantum state transfer on neighborhood corona of two graphs ⋮ Laplacian pair state transfer in vertex coronas ⋮ Perfect state transfer on semi-Cayley graphs over abelian groups ⋮ Perfect state transfer on quasi-abelian semi-Cayley graphs ⋮ Abstract model of continuous-time quantum walk based on Bernoulli functionals and perfect state transfer ⋮ Perfect state transfer on weighted bi-Cayley graphs over abelian groups ⋮ Perfect quantum state transfer on Cayley graphs over dicyclic groups ⋮ Perfect state transfer on bi-Cayley graphs over abelian groups ⋮ Perfect state transfer on Cayley graphs over the dicyclic group ⋮ Pretty good state transfer on Cayley graphs over semi-dihedral groups ⋮ Cayley graphs of dihedral groups having perfect edge state transfer

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Further results on the perfect state transfer in integral circulant graphs
• Perfect state transfer in cubelike graphs
• Periodic graphs
• Representation theory of finite groups. An introductory approach.
• State transfer on graphs
• Some classes of integral circulant graphs either allowing or not allowing perfect state transfer
• Perfect state transfer in integral circulant graphs
• Graphs with integral spectrum
• Integral Cayley graphs over Abelian groups
• Introduction to arithmetical functions
• Rational G-matrices with rational eigenvalues
• Spectra of Cayley graphs
• Integral Cayley graphs over dihedral groups
• Perfect state transfer on abelian Cayley graphs
• Characterization of quantum circulant networks having perfect state transfer
• Perfect state transfer on distance-regular graphs and association schemes
• Perfect quantum state transfer using Hadamard diagonalizable graphs
• Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs
• Perfect state transfer in products and covers of graphs
• When can perfect state transfer occur?
• Perfect state transfer, integral circulants and join of graphs
• Quantum walks on Cayley graphs
• QUANTUM STATE TRANSFER THROUGH A QUBIT NETWORK WITH ENERGY SHIFTS AND FLUCTUATIONS
• Quantum walks on graphs

This page was built for publication: Perfect state transfer on Cayley graphs over dihedral groups