Eigenvalues of quantum walks of Grover and Fourier types

DOI10.1007/S00041-018-9630-6zbMath1448.81243arXiv1704.05236OpenAlexW2963101507WikidataQ129647633 ScholiaQ129647633MaRDI QIDQ2003590

Tatsuya Tate, Takashi Komatsu

Publication date: 9 July 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05236

zbMATH Keywords

eigenvaluelocalizationquantum walkGrover and Fourier walks

Mathematics Subject Classification ID

Inference from stochastic processes and spectral analysis (62M15) Sums of independent random variables; random walks (60G50) Quantum computation (81P68) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (2)

Stationary amplitudes of quantum walks on the higher-dimensional integer lattice ⋮ Localization of two dimensional quantum walks defined by generalized Grover coins

Cites Work

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• Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond
• Quantum walks in higher dimensions
• Eigenvalues, absolute continuity and localizations for periodic unitary transition operators
• Quantum Walks
• Quantum simulations of classical random walks and undirected graph connectivity

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