Perfect state transfer on Cayley graphs over dihedral groups: the non-normal case

DOI10.37236/9184zbMath1441.05099OpenAlexW3032551786MaRDI QIDQ2185218

San Ling, Xiwang Cao, Bocong Chen

Publication date: 4 June 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37236/9184

zbMATH Keywords

perfect state transferrepresentations of the dihedral group

Mathematics Subject Classification ID

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

Related Items (13)

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 ⋮ 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 ⋮ Distance and adjacency spectra and eigenspaces for three (di)graph lifts: a unified approach ⋮ 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

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
• 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
• Pretty good state transfer on Cayley graphs over dihedral groups
• Perfect quantum state transfer on the Johnson scheme
• 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: the non-normal case