Continuous time quantum walks on graphs: group state transfer

DOI10.1016/j.dam.2023.04.015zbMath1523.81015arXiv2103.08837OpenAlexW3138515836MaRDI QIDQ6162028

Luke C. Brown, Duncan Wright, William J. Martin

Publication date: 15 June 2023

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08837

zbMATH Keywords

graph eigenvaluesquantum walkstate transfer

Mathematics Subject Classification ID

Quantum computation (81P68) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Continuous-time Markov processes on discrete state spaces (60J27) Random walks on graphs (05C81) Quantum state spaces, operational and probabilistic concepts (81P16) Mean value and transfer theorems (11H60) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10)

Related Items (1)

Sedentariness in quantum walks

Cites Work

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• State transfer on graphs
• Distance-regularised graphs are distance-regular or distance-biregular
• Pretty good state transfer on double stars
• Quantum walks and the size of the graph
• Quantum fractional revival on graphs

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