Strong Cospectrality and Twin Vertices in Weighted Graphs

zbMath1497.05160arXiv2111.01265MaRDI QIDQ5869493

Hermie Monterde

Publication date: 28 September 2022

Full work available at URL: https://arxiv.org/abs/2111.01265

zbMATH Keywords

adjacency matrixquantum state transfergraph spectragraph Laplacianstwin verticesstrong cospectrality

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22) Graph operations (line graphs, products, etc.) (05C76) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (3)

Quantum state transfer between twins in weighted graphs ⋮ Sedentariness in quantum walks ⋮ Fractional revival between twin vertices

Cites Work

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• Perfect state transfer in Laplacian quantum walk
• State transfer on graphs
• Laplacian eigenvectors and eigenvalues and almost equitable partitions
• Which graphs are determined by their spectrum?
• Pretty good state transfer on double stars
• Laplacian fractional revival on graphs
• On the displacement of eigenvalues when removing a twin vertex
• Quantum fractional revival on graphs
• Perfect state transfer, integral circulants and join of graphs
• QUANTUM PERFECT STATE TRANSFER ON WEIGHTED JOIN GRAPHS
• QUANTUM WALKS ON GENERAL GRAPHS
• No Laplacian Perfect State Transfer in Trees
• Merging the A-and Q-spectral theories

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