English

Non-stationary quantum walks on the cycle

Quantum Physics 2009-11-13 v2

Abstract

We consider quantum walks on the cycle in the non-stationary case where the `coin' operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, it is possible to asymnptotically reach a uniform distribution among the nodes of the associated graph.

Keywords

Cite

@article{arxiv.0708.0184,
  title  = {Non-stationary quantum walks on the cycle},
  author = {Domenico D'Alessandro and Gianfranco Parlangeli and Francesca Albertini},
  journal= {arXiv preprint arXiv:0708.0184},
  year   = {2009}
}

Comments

Revised version with minor changes

R2 v1 2026-06-21T09:03:59.536Z