Sedentariness in quantum walks

DOI10.1007/s11128-023-04011-3arXiv2303.06297OpenAlexW4383070383MaRDI QIDQ6171430

Hermie Monterde

Publication date: 11 August 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.06297

zbMATH Keywords

adjacency matrixLaplacian matrixquantum walkstwin verticessedentary walksstrongly cospectral vertices

Mathematics Subject Classification ID

Quantum computation (81P68) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

• Perfect state transfer in Laplacian quantum walk
• State transfer on graphs
• Pretty good quantum state transfer in symmetric spin networks via magnetic field
• Pretty good state transfer on double stars
• Laplacian fractional revival on graphs
• Sedentary quantum walks
• Quantum fractional revival on graphs
• Uniform mixing on Cayley graphs
• Strong Cospectrality and Twin Vertices in Weighted Graphs
• Swift chiral quantum walks
• Continuous time quantum walks on graphs: group state transfer
• Fractional revival between twin vertices

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