Stationary measures of three-state quantum walks on the one-dimensional lattice
Quantum Physics
2018-08-22 v1
Abstract
In this paper, we consider stationary measures of discrete-time three-state quantum walks including the Fourier and Grover walks in the one-dimensional lattice. We give non-uniform stationary measures by solving the corresponding eigenvalue problem. Our new method is based on a reduced matrix, which is different from the generating function approach in our previous work. As a corollary, the Fourier walk on the cycle has a stationary measure with a periodicity.
Keywords
Cite
@article{arxiv.1702.01523,
title = {Stationary measures of three-state quantum walks on the one-dimensional lattice},
author = {Hikari Kawai and Takashi Komatsu and Norio Konno},
journal= {arXiv preprint arXiv:1702.01523},
year = {2018}
}
Comments
10 pages