论文标题

多维晶格上的傅立叶步行不会进行本地化

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

论文作者

Narimatsu, Akihiro

论文摘要

众所周知,在多维晶格上,Grover Walk的本地化存在。本文为空间量子量子步行的存在提供了一些条件。我们还证明,在多维晶格上的傅立叶步行不会进行本地化。

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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