数学物理学报 ›› 2019, Vol. 39 ›› Issue (1): 133-142.

• 论文 • 上一篇    下一篇

直线上空间非齐次三态量子游荡的平稳测度

韩琦(),郭婷,殷世德,陈芷禾*()   

  1. 西北师范大学数学与统计学院 兰州 730070
  • 收稿日期:2017-11-06 出版日期:2019-02-26 发布日期:2019-03-12
  • 通讯作者: 陈芷禾 E-mail:hanqi1978@nwnu.edu.cn;910011686@qq.com
  • 作者简介:韩琦, E-mail:hanqi1978@nwnu.edu.cn
  • 基金资助:
    国家自然科学基金(11461061);国家自然科学基金(11061032);国家自然科学基金(71261032)

The Stationary Measure of a Space-Inhomogeneous Three-State Quantum Walk on the Line

Qi Han(),Ting Guo,Shide Yin,Zhihe Chen*()   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070
  • Received:2017-11-06 Online:2019-02-26 Published:2019-03-12
  • Contact: Zhihe Chen E-mail:hanqi1978@nwnu.edu.cn;910011686@qq.com
  • Supported by:
    the NSFC(11461061);the NSFC(11061032);the NSFC(71261032)

摘要:

研究了直线上空间非齐次三态量子游荡的单相位模型和双相位模型,同时借助Konno等人介绍的简化矩阵方法,计算了模型的特征值,并得到了相应的平稳测度.

关键词: 非齐次三态量子游荡, 平稳测度, 单相位, 双相位, 简化矩阵

Abstract:

In this paper, we study the space-inhomogeneous three-state quantum walks on the line, a one-phase model and a two-phase model included. By using the reduced matrix method introduced by Konno et al, we calculate their eigenvalues and get corresponding stationary measure.

Key words: Inhomogeneous three-state quantum walk, Stationary measure, One-phase, Twophase, Reduced matrix

中图分类号: 

  • O211.6