English

Limit theorem for a time-dependent coined quantum walk on the line

Quantum Physics 2015-05-18 v3

Abstract

We study time-dependent discrete-time quantum walks on the one-dimensional lattice. We compute the limit distribution of a two-period quantum walk defined by two orthogonal matrices. For the symmetric case, the distribution is determined by one of two matrices. Moreover, limit theorems for two special cases are presented.

Keywords

Cite

@article{arxiv.1004.0425,
  title  = {Limit theorem for a time-dependent coined quantum walk on the line},
  author = {Takuya Machida and Norio Konno},
  journal= {arXiv preprint arXiv:1004.0425},
  year   = {2015}
}
R2 v1 2026-06-21T15:06:05.424Z