dorsal/arxiv
View SchemaConditions for the confirmation of three-particle non-locality
| Authors | Peter Mitchell, Sandu Popescu, David Roberts |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202009 |
| URL | https://arxiv.org/abs/quant-ph/0202009 |
| DOI | 10.1103/PhysRevA.70.060101 |
Abstract
The notion of genuine three-particle non-locality introduced by Svetlichny \cite{Svetlichny} is discussed. Svetlichny's inequality which can distinguish between genuine three-particle non-locality and two-particle non-locality is analyzed by reinterpreting it as a frustrated network of correlations. Its quantum mechanical maximum violation is derived and a situation is presented that produces the maximum violation. It is shown that the measurements performed in recent experiments to demonstrate GHZ entanglement \cite{Bouwmeester}, \cite{Pan} do not allow this inequality to be violated, and hence can not be taken as confirmation of genuine three-particle non-locality. Modifications to the experiments that would make such a confirmation possible are discussed.
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"abstract": "The notion of genuine three-particle non-locality introduced by Svetlichny\n\\cite{Svetlichny} is discussed. Svetlichny\u0027s inequality which can distinguish\nbetween genuine three-particle non-locality and two-particle non-locality is\nanalyzed by reinterpreting it as a frustrated network of correlations. Its\nquantum mechanical maximum violation is derived and a situation is presented\nthat produces the maximum violation. It is shown that the measurements\nperformed in recent experiments to demonstrate GHZ entanglement\n\\cite{Bouwmeester}, \\cite{Pan} do not allow this inequality to be violated, and\nhence can not be taken as confirmation of genuine three-particle non-locality.\nModifications to the experiments that would make such a confirmation possible\nare discussed.",
"arxiv_id": "quant-ph/0202009",
"authors": [
"Peter Mitchell",
"Sandu Popescu",
"David Roberts"
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"quant-ph"
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"doi": "10.1103/PhysRevA.70.060101",
"title": "Conditions for the confirmation of three-particle non-locality",
"url": "https://arxiv.org/abs/quant-ph/0202009"
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