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Topological Quantum Computing

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

arXiv
Authors: Akihiro Narimatsu

Year

2020

Paper ID

22219

Status

Preprint

Abstract Read

~2 min

Abstract Words

45

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • The existence of localization for the Grover walk on the multi-dimensional lattice is known.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.07398 [2] arXiv https://arxiv.org/abs/2007.07398 [3] Publisher https://arxiv.org/abs/2007.07398

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Current Paper #22219

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