English

Decoherence in one-dimensional Quantum Walk

Quantum Physics 2010-03-26 v1

Abstract

In this paper we study decoherence in the quantum walk on the line. We generalize the method of decoherent coin quantum walk, introduced by Brun et al [Phys. Rev. A {\bf 67}, 32304 (2003)]. Our analytical expressions are applicable for all kinds of decoherence. As an example of the coin-position decoherence, we study the broken line quantum walk and compare our results with the numerical one. We also show that our analytical results reduce to the Brun formalism when only the coin is subjected to decoherence.

Keywords

Cite

@article{arxiv.0910.1986,
  title  = {Decoherence in one-dimensional Quantum Walk},
  author = {Mostafa Annabestani and Seyed Javad Akhtarshenas and Mohamad Reza Abolhassani},
  journal= {arXiv preprint arXiv:0910.1986},
  year   = {2010}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-21T13:56:52.124Z