Localization does not occur for the Fourier walk on the multi-dimensional lattice
Akihiro Narimatsu · Quantum Information and Computation · 2021
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.