Laplacian fractional revival on graphs

DOI10.37236/10146zbMath1470.05100arXiv2010.10413OpenAlexW3185109750MaRDI QIDQ2048554

Bobae Johnson, Mengzhen Liu, Zhanghan Yin, Hanmeng Zhan, Malena Schmidt, Ada Chan

Publication date: 6 August 2021

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

Full work available at URL: https://arxiv.org/abs/2010.10413

zbMATH Keywords

Laplacian matrixLaplacian fractional revival

Mathematics Subject Classification ID

Quantum computation (81P68) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75) Graph operations (line graphs, products, etc.) (05C76) Random walks on graphs (05C81)

Related Items (6)

Laplacian pretty good fractional revival ⋮ Strong Cospectrality and Twin Vertices in Weighted Graphs ⋮ Continuous-time quantum walks on Cayley graphs of extraspecial groups ⋮ Sedentariness in quantum walks ⋮ Fractional revival between twin vertices ⋮ Fundamentals of fractional revival in graphs

Cites Work

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• Perfect state transfer in Laplacian quantum walk
• Fractional revival and association schemes
• Fractional revival of threshold graphs under Laplacian dynamics
• Quantum fractional revival on graphs
• Perfect state transfer in products and covers of graphs
• When can perfect state transfer occur?
• No Laplacian Perfect State Transfer in Trees
• Exponential algorithmic speedup by a quantum walk
• COMMUNICATION IN XYZ ALL-TO-ALL QUANTUM NETWORKS WITH A MISSING LINK
• Eigenvalues of the Laplacian of a graph^∗

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