- 著者
- Takako ENDO Hikari KAWAI Norio KONNO
- 出版者
- 東北大学大学院情報科学研究科ジャーナル編集委員会
- 雑誌
- Interdisciplinary Information Sciences (ISSN:13409050)
- 巻号頁・発行日
- vol.23, no.1, pp.57-64, 2017 (Released:2017-03-31)
- 参考文献数
- 22
- 被引用文献数
- 2
This study is motivated by the previous work [14]. We treat 3 types of the one-dimensional quantum walks (QWs), whose time evolutions are described by diagonal unitary matrices except at one defected point. In this paper, we call the QW defined by diagonal unitary matrices, ``the diagonal QW'', and we consider the stationary distributions of general 2-state diagonal QW with one defect, 3-state space-homogeneous diagonal QW, and 3-state diagonal QW with one defect. One of the purposes of our study is to characterize the QWs by the stationary measure, which may lead to answer the basic and natural question, ``What are stationary measures for one-dimensional QWs?''. In order to analyze the stationary distribution, we focus on the corresponding eigenvalue problems and the definition of the stationary measure.