Ito's formula for the discrete-time quantum walk in two dimensions
arXiv:1203.0935
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.
Accepted for Publication in the Journal of Quantum Information Science