Relativistic quantum walks
Quantum Physics
2009-11-11 v3
Abstract
By pursuing the deep relation between the one-dimensional Dirac equation and quantum walks, the physical role of quantum interference in the latter is explained. It is shown that the time evolution of the probability density of a quantum walker, initially localized on a lattice, is directly analogous to relativistic wave-packet spreading. Analytic wave-packet solutions reveal a striking connection between the discrete and continuous time quantum walks.
Keywords
Cite
@article{arxiv.quant-ph/0508096,
title = {Relativistic quantum walks},
author = {Frederick W. Strauch},
journal= {arXiv preprint arXiv:quant-ph/0508096},
year = {2009}
}
Comments
4 pages, 4 figures, published and corrected version