Ito's formula for the discrete-time quantum walk in two dimensions
Mathematical Physics
2012-03-06 v1 math.MP
Quantum Physics
Abstract
Following [Konno, arXiv:1112.4335], it is natural to ask: What is the Ito's formula for the discrete time quantum walk on a graph different than Z, the set of integers? In this paper we answer the question for the discrete time quantum walk on Z^2, the square lattice.
Cite
@article{arxiv.1203.0935,
title = {Ito's formula for the discrete-time quantum walk in two dimensions},
author = {Clement Ampadu},
journal= {arXiv preprint arXiv:1203.0935},
year = {2012}
}
Comments
Accepted for Publication in the Journal of Quantum Information Science