Limit Theorems for Decoherent Two Dimensional Quantum Walks
Clement Ampadu
TL;DR
This paper establishes limit theorems for two-dimensional quantum walks affected by decoherence, extending previous models to analyze their long-term behavior and statistical properties.
Contribution
It introduces new limit theorems for decoherent 2D quantum walks, expanding understanding of their asymptotic behavior under decoherence effects.
Findings
Derived limit distributions for decoherent 2D quantum walks
Extended previous 1D models to 2D case
Provided mathematical framework for analyzing decoherence effects
Abstract
In this paper we consider the model with decoherence operators introduced by [Brun,T.A, et.al, Phys.Rev.A 67 (2003) 032304] which has recently been considered in the two-dimensional setting by [Ampadu,C., Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks, Communication in Theoretical Physics To Appear, arXiv:1104.2061 (2011)] to obtain the limit of the decoherent quantum walk.
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