Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources

Reproducing with elementary resources the correlations that arise when a quantum system is measured (quantum state simulation) allows one to get insight on the operational and computational power of quantum correlations. We propose a family of models that can simulate von Neumann measurements in the...

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Main Authors: Jean-Daniel Bancal, Cyril Branciard, Nicolas Gisin
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2010/293245
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author Jean-Daniel Bancal
Cyril Branciard
Nicolas Gisin
author_facet Jean-Daniel Bancal
Cyril Branciard
Nicolas Gisin
author_sort Jean-Daniel Bancal
collection DOAJ
description Reproducing with elementary resources the correlations that arise when a quantum system is measured (quantum state simulation) allows one to get insight on the operational and computational power of quantum correlations. We propose a family of models that can simulate von Neumann measurements in the x−y plane of the Bloch sphere on n-partite GHZ states. For the tripartite and fourpartite states, the models use only bipartite nonlocal boxes; they can be translated into classical communication schemes with finite average communication cost.
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institution Kabale University
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spelling doaj-art-91f3319633834b9084c32b1ead6c9c692025-02-03T05:45:54ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/293245293245Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal ResourcesJean-Daniel Bancal0Cyril Branciard1Nicolas Gisin2Group of Applied Physics, University of Geneva, 20 rue de l'Ecole-de-Médecine, 1211 Geneva 4, SwitzerlandGroup of Applied Physics, University of Geneva, 20 rue de l'Ecole-de-Médecine, 1211 Geneva 4, SwitzerlandGroup of Applied Physics, University of Geneva, 20 rue de l'Ecole-de-Médecine, 1211 Geneva 4, SwitzerlandReproducing with elementary resources the correlations that arise when a quantum system is measured (quantum state simulation) allows one to get insight on the operational and computational power of quantum correlations. We propose a family of models that can simulate von Neumann measurements in the x−y plane of the Bloch sphere on n-partite GHZ states. For the tripartite and fourpartite states, the models use only bipartite nonlocal boxes; they can be translated into classical communication schemes with finite average communication cost.http://dx.doi.org/10.1155/2010/293245
spellingShingle Jean-Daniel Bancal
Cyril Branciard
Nicolas Gisin
Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
Advances in Mathematical Physics
title Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
title_full Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
title_fullStr Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
title_full_unstemmed Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
title_short Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources
title_sort simulation of equatorial von neumann measurements on ghz states using nonlocal resources
url http://dx.doi.org/10.1155/2010/293245
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AT nicolasgisin simulationofequatorialvonneumannmeasurementsonghzstatesusingnonlocalresources