English

Generalized open quantum walks on Apollonian networks

Quantum Physics 2015-08-18 v2

Abstract

We introduce the model of generalized open quantum walks on networks using the Transition Operation Matrices formalism. We focus our analysis on the mean first passage time and the average return time in Apollonian networks. These results differ significantly from a classical walk on these networks. We show a comparison of the classical and quantum behaviour of walks on these networks.

Cite

@article{arxiv.1407.1184,
  title  = {Generalized open quantum walks on Apollonian networks},
  author = {Ł. Pawela and P. Gawron and J. A. Miszczak and P. Sadowski},
  journal= {arXiv preprint arXiv:1407.1184},
  year   = {2015}
}

Comments

23 pages, 8 figures

R2 v1 2026-06-22T04:55:16.969Z