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

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 lattic...

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Bibliographische Detailangaben
1. Verfasser:	Narimatsu, Akihiro
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Quantum Physics
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.2007.07398