English

A study of Wigner functions for discrete-time quantum walks

Quantum Physics 2012-04-06 v1

Abstract

We perform a systematic study of the discrete time Quantum Walk on one dimension using Wigner functions, which are generalized to include the chirality (or coin) degree of freedom. In particular, we analyze the evolution of the negative volume in phase space, as a function of time, for different initial states. This negativity can be used to quantify the degree of departure of the system from a classical state. We also relate this quantity to the entanglement between the coin and walker subspaces.

Keywords

Cite

@article{arxiv.1204.1050,
  title  = {A study of Wigner functions for discrete-time quantum walks},
  author = {M. Hinarejos and M. C. Banuls and A. Perez},
  journal= {arXiv preprint arXiv:1204.1050},
  year   = {2012}
}

Comments

16 pages, 8 figures

R2 v1 2026-06-21T20:44:50.309Z