Weak limit theorem for a nonlinear quantum walk

Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki, Kanako Suzuki

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

This paper continues the study of large time behavior of a nonlinear quantum walk begun in Maeda et al. (Discrete Contin Dyn Syst 38:3687–3703, 2018). In this paper, we provide a weak limit theorem for the distribution of the nonlinear quantum walk. The proof is based on the scattering theory of the nonlinear quantum walk, and the limit distribution is obtained in terms of its asymptotic state.

Original languageEnglish
Article number215
JournalQuantum Information Processing
Volume17
Issue number9
DOIs
Publication statusPublished - 2018 Sep 1

Keywords

  • Nonlinear quantum walk
  • Quantum walk
  • Scattering theory
  • Weak limit theorem

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering

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