Localization does not occur for the Fourier walk on the multi-dimensional lattice
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Published:2021-05
Issue:5&6
Volume:21
Page:387-394
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ISSN:1533-7146
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Container-title:Quantum Information and Computation
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language:
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Short-container-title:QIC
Author:
Narimatsu Akihiro
Abstract
The existence of localization for the Grover walk on the multi-dimensional lattice is known. This paper gives some conditions for the existence of localization for the space-homogeneous quantum walks. We also prove that localization does not occur for the Fourier walk on the multi-dimensional lattice.
Subject
Computational Theory and Mathematics,General Physics and Astronomy,Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics,Theoretical Computer Science