English

Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators

Quantum Physics 2016-06-16 v3 Mathematical Physics math.MP Probability

Abstract

Although quantum walks exhibit peculiar properties that distinguish them from random walks, classical behavior can be recovered in the asymptotic limit by destroying the coherence of the pure state associated to the quantum system. Here I show that this is not the only way: I introduce a quantum walk driven by an inhomogeneous, time-dependent coin operator, which mimics the statistical properties of a random walk at all time scales. The quantum particle undergoes unitary evolution and, in fact, the high correlation evidenced by the components of the wave function can be used to revert the outcome of an accidental measurement of its chirality.

Keywords

Cite

@article{arxiv.1505.07996,
  title  = {Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators},
  author = {Miquel Montero},
  journal= {arXiv preprint arXiv:1505.07996},
  year   = {2016}
}

Comments

4 pages, 2 figures; Revised and extended version: 8 pages, 6 figures

R2 v1 2026-06-22T09:43:46.032Z