Local orthogonality as a multipartite principle for quantum correlations

In recent years, the use of information principles to understand quantum correlations has been very successful. Unfortunately, all principles considered so far have a bipartite formulation, but intrinsically multipartite principles, yet to be discovered, are necessary for reproducing quantum correla...

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Bibliographic Details
Published in:arXiv.org 2014-02
Main Authors: Fritz, T, Sainz, A B, Augusiak, R, Brask, J B, Chaves, R, Leverrier, A, Acín, A
Format: Article
Language:English
Subjects:
Correlation
Equivalence
Orthogonality
Principles
Quantum theory
Ratio analysis
Signaling
Online Access:Get full text
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Summary:In recent years, the use of information principles to understand quantum correlations has been very successful. Unfortunately, all principles considered so far have a bipartite formulation, but intrinsically multipartite principles, yet to be discovered, are necessary for reproducing quantum correlations. Here, we introduce local orthogonality, an intrinsically multipartite principle stating that events involving different outcomes of the same local measurement must be exclusive, or orthogonal. We prove that it is equivalent to no-signaling in the bipartite scenario but more restrictive for more than two parties. By exploiting this non-equivalence, it is then demonstrated that some bipartite supra-quantum correlations do violate local orthogonality when distributed among several parties. Finally, we show how its multipartite character allows revealing the non-quantumness of correlations for which any bipartite principle fails. We believe that local orthogonality is a crucial ingredient for understanding no-signaling and quantum correlations.
ISSN:2331-8422
DOI:10.48550/arxiv.1210.3018