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Quantum Information Processing

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01-09-2018

Weak limit theorem for a nonlinear quantum walk

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

Published in: Quantum Information Processing | Issue 9/2018

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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.

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Title: Weak limit theorem for a nonlinear quantum walk
Authors: Masaya Maeda
Hironobu Sasaki
Etsuo Segawa
Akito Suzuki
Kanako Suzuki
Publication date: 01-09-2018
Publisher: Springer US
Published in: Quantum Information Processing / Issue 9/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-018-1981-z

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