Weak limit theorem for a nonlinear quantum walk
Weak limit theorem for a nonlinear quantum walk
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DOI：
10.1007/s11128-018-1981-z
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发表时间：
2018-01
影响因子：
2.5
通讯作者：
Masaya Maeda;Hironobu Sasaki;E. Segawa;A. Suzuki;Kanako Suzuki
中科院分区：
文献类型：
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作者：
Masaya Maeda;Hironobu Sasaki;E. Segawa;A. Suzuki;Kanako Suzuki
本文继续研究前田等人开始的非线性量子行走的大时间行为。(离散Contin Dyn系统38：3687-3703,2018)。本文给出了非线性量子游动分布的一个弱极限定理。该证明基于非线性量子游动的散射理论，并根据其渐近态得到了极限分布。
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.