Green function approach for scattering quantum walks
Quantum Physics
2011-12-13 v1 Mathematical Physics
math.MP
Computational Physics
Abstract
In this work a Green function approach for scattering quantum walks is developed. The exact formula has the form of a sum over paths and always can be cast into a closed analytic expression for arbitrary topologies and position dependent quantum amplitudes. By introducing the step and path operators, it is shown how to extract any information about the system from the Green function. The method relevant features are demonstrated by discussing in details an example, a general diamond-shaped graph.
Keywords
Cite
@article{arxiv.1112.2614,
title = {Green function approach for scattering quantum walks},
author = {F. M. Andrade and M. G. E. da Luz},
journal= {arXiv preprint arXiv:1112.2614},
year = {2011}
}
Comments
13 pages, 6 figures, this article was selected by APS for Virtual Journal of Quantum Information, Vol 11, Iss 11 (2011)