Selected open problems in continuous-time quantum walks

DOI10.1515/SPMA-2024-0025MaRDI QIDQ6646724

Krystal Guo, Gabriel Coutinho

Publication date: 3 December 2024

Published in: Special Matrices (Search for Journal in Brave)

zbMATH Keywords

quantum walksspectral graph theory

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

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• Periodic graphs
• Locally pseudo-distance-regular graphs
• Random matrices have simple spectrum
• A new perspective on the average mixing matrix
• Fundamentals of fractional revival in graphs
• Complex Hadamard matrices, instantaneous uniform mixing and cubes
• State transfer in strongly regular graphs with an edge perturbation
• Quantum walks and the size of the graph
• Perfect state transfer on distance-regular graphs and association schemes
• Average mixing of continuous quantum walks
• Uniform mixing and association schemes
• When can perfect state transfer occur?
• NON-UNIFORM MIXING OF QUANTUM WALK ON CYCLES
• PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL
• Diameters and Eigenvalues
• Average mixing matrix of trees
• Irrational Quantum Walks
• Unexpected averages of mixing matrices

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