arXiv:1203.0935 Abstract | arXiv Analytics

arXiv:1203.0935 [math-ph]Abstract References Reviews Resources

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

Published 2012-03-05Version 1

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.

Comments: Accepted for Publication in the Journal of Quantum Information Science

Categories: math-ph, math.MP, quant-ph

Subjects: 81T25

Keywords: discrete-time quantum walk, itos formula, discrete time quantum walk, dimensions, square lattice

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