A new type of spectral mapping theorem for quantum walks with a moving shift on graphs

DOI10.1007/S11128-022-03493-XOpenAlexW3133581773WikidataQ113900598 ScholiaQ113900598MaRDI QIDQ2107917

Sho Kubota, Yusuke Yoshie, Kei Saito

Publication date: 5 December 2022

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

Full work available at URL: https://arxiv.org/abs/2103.05235

zbMATH Keywords

quantum walkspectral graph theoryspectral mapping theorem

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral and asymptotic properties of Grover walks on crystal lattices
• Spectra of graphs
• Periodicity of Grover walks on generalized Bethe trees
• Realistic quantum probability
• Localization of a multi-dimensional quantum walk with one defect
• A quantum walk induced by Hoffman graphs and its periodicity
• Periodicities of Grover walks on distance-regular graphs
• Spectral mapping theorem of an abstract quantum walk
• Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations
• Quantum walks induced by Dirichlet random walks on infinite trees
• Periodicity of the Discrete-time Quantum Walk on a Finite Graph
• A Note on the Spectral Mapping Theorem of Quantum Walk Models
• Quantum walks on graphs
• Quantum walks and search algorithms

This page was built for publication: A new type of spectral mapping theorem for quantum walks with a moving shift on graphs