Bell-Type Inequalities to Detect True n-Body Nonseparability

Daniel Collins; Nicolas Gisin; Sandu Popescu; David Roberts; Valerio Scarani

doi:10.1103/physrevlett.88.170405

Bell-Type Inequalities to Detect True n-Body Nonseparability

Daniel Collins, Nicolas Gisin, Sandu Popescu, David Roberts, Valerio Scarani

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

282 Citations (Scopus)

Abstract

We analyze the structure of correlations among more than two quantum systems. We introduce a classification of correlations based on the concept of nonseparability, which is different a priori from the concept of entanglement. Generalizing a result of Svetlichny [Phys. Rev. D 35, 3066 (1987)] on three-particle correlations, we find an inequality for n -particle correlations that holds under the most general separability condition and that is violated by some quantum-mechanical states.

Original language	English
Article number	170405
Pages (from-to)	1-4
Number of pages	4
Journal	Physical Review Letters
Volume	88
Issue number	17
DOIs	https://doi.org/10.1103/physrevlett.88.170405
Publication status	Published - 12 Apr 2002

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abstract = "We analyze the structure of correlations among more than two quantum systems. We introduce a classification of correlations based on the concept of nonseparability, which is different a priori from the concept of entanglement. Generalizing a result of Svetlichny [Phys. Rev. D 35, 3066 (1987)] on three-particle correlations, we find an inequality for n -particle correlations that holds under the most general separability condition and that is violated by some quantum-mechanical states.",

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AB - We analyze the structure of correlations among more than two quantum systems. We introduce a classification of correlations based on the concept of nonseparability, which is different a priori from the concept of entanglement. Generalizing a result of Svetlichny [Phys. Rev. D 35, 3066 (1987)] on three-particle correlations, we find an inequality for n -particle correlations that holds under the most general separability condition and that is violated by some quantum-mechanical states.

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Bell-Type Inequalities to Detect True n-Body Nonseparability

Abstract

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