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Brun-Type Formalism for Decoherence in Two-Dimensional Quantum Walks
Authors:Clement Ampadu
Institution:31.Carrolton Road, Boston, Massachusetts, 02132, USA
Abstract:We study decoherence in the quantum walk on the xy-plane.We generalize the method of decoherent coin quantum walk,introduced by T.A.Brun,et al.,Phys.Rev.A 67(2003) 032304],which could be applicable to all sorts of decoherence in two-dimensional quantum walks,irrespective of the unitary transformation governing the walk.As an application we study decoherence in the presence of broken line noise in which the quantum walk is governed by the two-dimensional Hadamard operator.
Keywords:coin-position decoherence  quantum random walk  coin decoherence
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