Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks

Details Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks

2011-04-11

arxiv.org/abs/1104.2061v5

Communications in Theoretical Physics (2012),Volume 57, Number 1, pp 41-55

Physics

Quantum Physics

Presented as Poster Talk in "The International Meeting on Quantum Foundations and Quantum Information" at Seoul National Unive

Scientific paper

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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