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arXiv · 2007.07398

Localization does not occur for the Fourier walk on the multi-dimensional lattice

Akihiro Narimatsu
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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.

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Akihiro Narimatsu. 2020-07-14. Localization does not occur for the Fourier walk on the multi-dimensional lattice. https://arxiv.org/abs/2007.07398

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