Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks
Clement Ampadu
TL;DR
This paper introduces a generalized Brun-type formalism to analyze decoherence effects in two-dimensional quantum walks, specifically applying it to scenarios with broken line noise and the Hadamard operator.
Contribution
It extends the decoherent coin quantum walk method to all types of decoherence in 2D quantum walks, regardless of the governing unitary transformation.
Findings
Applicable to various decoherence models in 2D quantum walks
Analyzed decoherence effects with broken line noise
Demonstrated formalism with Hadamard operator
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.
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