English

Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

Quantum Physics 2023-03-15 v1

Abstract

We study a 2-D disordered time-discrete quantum walk based on 1-D `generalized elephant quantum walk' where an entangling coin operator is assumed and which paves the way to a new set of properties. We show that considering a given disorder in one direction, it is possible to control the degree of spreading and entanglement in the other direction. This observation helps assert that the random quantum walks of this ilk serve as a controllable decoherence channel with the degree of randomness being the tunable parameter and highlight the role of dimensionality in quantum systems regarding information and transport.

Keywords

Cite

@article{arxiv.2209.06252,
  title  = {Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator},
  author = {Caio B. Naves and Marcelo A. Pires and Diogo O. Soares-Pinto and Sílvio M. Duarte Queirós},
  journal= {arXiv preprint arXiv:2209.06252},
  year   = {2023}
}

Comments

16 pages, 19 figures

R2 v1 2026-06-28T01:14:31.269Z