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Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions
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Journal of Quantum Information Science·Volume 02 (2012)·Pages 41–47·Published 22 June 2012·DOI10.4236/jqis.2012.22008
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Abstract
Following Konno [1], 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.
KeywordsQuantum Random WalkIto’s FormulaBrownian Motion
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