Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (1): 133-142.

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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)

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

CLC Number: 

  • O211.6
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