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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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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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. |
format | Article |
id | doaj-art-91f3319633834b9084c32b1ead6c9c69 |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
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 |
work_keys_str_mv | AT jeandanielbancal simulationofequatorialvonneumannmeasurementsonghzstatesusingnonlocalresources AT cyrilbranciard simulationofequatorialvonneumannmeasurementsonghzstatesusingnonlocalresources AT nicolasgisin simulationofequatorialvonneumannmeasurementsonghzstatesusingnonlocalresources |