  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.
