Ito's formula for the discrete-time quantum walk in two dimensions

Details Ito's formula for the discrete-time quantum walk in two dimensions Ito's formula for the discrete-time quantum walk in two dimensions

2012-03-05

arxiv.org/abs/1203.0935v1

Physics

Mathematical Physics

Accepted for Publication in the Journal of Quantum Information Science

Scientific paper

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.

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