English

Quantum walks with memory on cycles

Quantum Physics 2014-02-07 v2

Abstract

We study the model of quantum walks on cycles enriched by the addition of 1-step memory. We provide a formula for the probability distribution and the time-averaged limiting probability distribution of the introduced quantum walk. Using the obtained results, we discuss the properties of the introduced model and the difference in comparison to the memoryless model.

Keywords

Cite

@article{arxiv.1301.2905,
  title  = {Quantum walks with memory on cycles},
  author = {Michael Mc Gettrick and Jarosław Adam Miszczak},
  journal= {arXiv preprint arXiv:1301.2905},
  year   = {2014}
}

Comments

6 pages, 2 figures, published version

R2 v1 2026-06-21T23:08:44.997Z