Title
Weak limit theorem for a nonlinear quantum walk.
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.
Year
DOI
Venue
2018
10.1007/s11128-018-1981-z
Quantum Information Processing
Keywords
Field
DocType
Quantum walk,Nonlinear quantum walk,Scattering theory,Weak limit theorem
Statistical physics,Scattering theory,Nonlinear system,Limit distribution,Mathematical analysis,Quantum walk,Mathematics
Journal
Volume
Issue
ISSN
17
9
1570-0755
Citations 
PageRank 
References 
0
0.34
3
Authors
5
Name
Order
Citations
PageRank
Masaya Maeda100.34
Hironobu Sasaki2184.46
Etsuo Segawa32710.11
Akito Suzuki421.38
Kanako Suzuki500.34