TITLE:
Stationary Measures of Three-State Quantum Walks with Defect on the One-Dimension Lattice
AUTHORS:
Jinling Gao, Mingjun Zhang
KEYWORDS:
Three-State Quantum Walks, Stationary Measure, One-Phase, Two-Phase, Transfer Matrices
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.13 No.4,
April
14,
2023
ABSTRACT: In this paper, we focus on the space-inhomogeneous three-state on the
one-dimension lattice, a one-phase model and a two-phase model include. By using the transfer matrices method by Endo et al., we calculate the stationary measure for initial
state concrete eigenvalue. Finally we found the transfer matrices method is more effective for the three-state quantum walks than
the method obtained by Kawai et al.