マルチエージェント深層強化学習によるネットワーク資源管理

京都大学新制・課程博士博士(情報学)甲第24940号情博第851号京都大学大学院情報学研究科通信情報システム専攻(主査)教授 大木 英司, 教授 原田 博司, 教授 伊藤 孝行学位規則第4条第1項該当Doctor of InformaticsKyoto UniversityDFA

Scattering and inverse scattering for nonlinear quantum walks

We study large time behavior of quantum walks (QWs) with self-dependent (nonlinear) coin. In particular, we show scattering and derive the reproducing formula for inverse scattering in the weak nonlinear regime. The proof is based on space-time estimate of (linear) QWs such as dispersive estimates and Strichartz estimate. Such argument is standard in the study of nonlinear Schr\"odinger equations and discrete nonlinear Schr\"odinger equations but it seems to be the first time to be applied to QW.Comment: 18 pages, text overlap with arXiv:1711.0062