Eigenvalues of two-state quantumwalks induced by the hadamard walk

Shimpei Endo, Takako Endo, Takashi Komatsu, Norio Konno

Research output: Contribution to journalArticlepeer-review

Abstract

Existence of the eigenvalues of the discrete-time quantumwalks is deeply related to localization of the walks. We revealed, for the first time, the distributions of the eigenvalues given by the splitted generating function method (the SGF method) of the space-inhomogeneous quantum walks in one dimension we had treated in our previous studies. Especially, we clarified the characteristic parameter dependence for the distributions of the eigenvalues with the aid of numerical simulation.

Original languageEnglish
Pages (from-to)127
Number of pages1
JournalEntropy
Volume22
Issue number1
DOIs
Publication statusPublished - 2020 Jan 1

Keywords

  • Classification
  • Discrete-time quantum walks
  • Eigenvalues
  • Localization
  • Stationary measure

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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