English

Driven Quantum Walks

Quantum Physics 2014-08-29 v1

Abstract

In this letter we introduce the concept of a driven quantum walk. This work is motivated by recent theoretical and experimental progress that combines quantum walks and parametric down- conversion, leading to fundamentally different phenomena. We compare these striking differences by relating the driven quantum walks to the original quantum walk. Next, we illustrate typical dynamics of such systems and show these walks can be controlled by various pump configurations and phase matchings. Finally, we end by proposing an application of this process based on a quantum search algorithm that performs faster than a classical search.

Keywords

Cite

@article{arxiv.1408.6647,
  title  = {Driven Quantum Walks},
  author = {Craig S. Hamilton and Regina Kruse and Linda Sansoni and Christine Silberhorn and Igor Jex},
  journal= {arXiv preprint arXiv:1408.6647},
  year   = {2014}
}

Comments

5 pages + 4 pages supp. info

R2 v1 2026-06-22T05:42:31.628Z