dorsal/arxiv
View SchemaAll multipartite Bell correlation inequalities for two dichotomic observables per site
| Authors | R. F. Werner, M. M. Wolf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102024 |
| URL | https://arxiv.org/abs/quant-ph/0102024 |
| DOI | 10.1103/PhysRevA.64.032112 |
Abstract
We construct a set of 2^(2^n) independent Bell correlation inequalities for n-partite systems with two dichotomic observables each, which is complete in the sense that the inequalities are satisfied if and only if the correlations considered allow a local classical model. All these inequalities can be summarized in a single, albeit non-linear inequality. We show that quantum correlations satisfy this condition provided the state has positive partial transpose with respect to any grouping of the n systems into two subsystems. We also provide an efficient algorithm for finding the maximal quantum mechanical violation of each inequality, and show that the maximum is always attained for the generalized GHZ state.
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"date_created": "2026-03-02T18:01:42.639000Z",
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"abstract": "We construct a set of 2^(2^n) independent Bell correlation inequalities for\nn-partite systems with two dichotomic observables each, which is complete in\nthe sense that the inequalities are satisfied if and only if the correlations\nconsidered allow a local classical model. All these inequalities can be\nsummarized in a single, albeit non-linear inequality. We show that quantum\ncorrelations satisfy this condition provided the state has positive partial\ntranspose with respect to any grouping of the n systems into two subsystems. We\nalso provide an efficient algorithm for finding the maximal quantum mechanical\nviolation of each inequality, and show that the maximum is always attained for\nthe generalized GHZ state.",
"arxiv_id": "quant-ph/0102024",
"authors": [
"R. F. Werner",
"M. M. Wolf"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.032112",
"title": "All multipartite Bell correlation inequalities for two dichotomic observables per site",
"url": "https://arxiv.org/abs/quant-ph/0102024"
},
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