TITLE:
Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions
AUTHORS:
Clement Ampadu
KEYWORDS:
Quantum Random Walk; Ito’s Formula; Brownian Motion
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.2 No.2,
June
22,
2012
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 Z2, the square lattice.