Pretty good state transfer on Cayley graphs over semi-dihedral groups

DOI10.1080/03081087.2021.1926414OpenAlexW3161995928MaRDI QIDQ5870117

Xiwang Cao, Dan-dan Wang

Publication date: 5 January 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1926414

zbMATH Keywords

spectrumCayley graphspretty good state transfersemi-dihedral groups

Mathematics Subject Classification ID

Quantum computation (81P68) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• Unnamed Item
• A class of \textit{gcd}-graphs having perfect state transfer
• Quantum cryptography: public key distribution and coin tossing
• Pretty good state transfer on some NEPS
• Perfect state transfer in cubelike graphs
• Periodic graphs
• State transfer on graphs
• Introduction to arithmetical functions
• More circulant graphs exhibiting pretty good state transfer
• Pretty good quantum state transfer in symmetric spin networks via magnetic field
• Perfect state transfer on abelian Cayley graphs
• Characterization of quantum circulant networks having perfect state transfer
• Pretty good state transfer on double stars
• Perfect state transfer on Cayley graphs over dihedral groups: the non-normal case
• Pretty good state transfer on Cayley graphs over dihedral groups
• 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
• Pretty good state transfer on circulant graphs
• Perfect state transfer in products and covers of graphs
• Symmetry classes of tensors associated with the semi-dihedral groups SD_8n
• Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian
• When can perfect state transfer occur?
• Quantum cryptography based on Bell’s theorem
• Perfect state transfer on Cayley graphs over dihedral groups

This page was built for publication: Pretty good state transfer on Cayley graphs over semi-dihedral groups