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Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks

Quantum Physics 2011-12-30 v5 Mathematical Physics math.MP

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

Cite

@article{arxiv.1104.2061,
  title  = {Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks},
  author = {Clement Ampadu},
  journal= {arXiv preprint arXiv:1104.2061},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T17:52:35.745Z