Operational approach to Bell inequalities: Application to qutrits

In this work we develop two methods to construct Bell inequalities for multipartite systems. By considering non-Hermitian operators we study Bell inequalities for the cases of three settings, three outcomes, and three to six parties. The maximal value achieved in the framework of quantum theory is c...

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Veröffentlicht in:Physical review. A 2016-09, Vol.94 (3), Article 032102
Hauptverfasser: Alsina, Daniel, Cervera, Alba, Goyeneche, Dardo, Latorre, José I., Życzkowski, Karol
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container_title Physical review. A
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creator Alsina, Daniel
Cervera, Alba
Goyeneche, Dardo
Latorre, José I.
Życzkowski, Karol
description In this work we develop two methods to construct Bell inequalities for multipartite systems. By considering non-Hermitian operators we study Bell inequalities for the cases of three settings, three outcomes, and three to six parties. The maximal value achieved in the framework of quantum theory is computed for subsystems with three levels each. The other technique, based on a mapping from pure entangled states to Bell operators, allows us to construct further multipartite Bell inequalities. As a consequence, we reproduce some known results in a different way and find some multipartite Bell inequalities for systems having three settings and three outcomes per party.
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Teoria quàntica
title Operational approach to Bell inequalities: Application to qutrits
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