Bounding the set of quantum correlations

Miguel Navascues, Stefano Pironio, Antonio Acin

Research output: Contribution to journalArticle (Academic Journal)peer-review

307 Citations (Scopus)


We introduce a hierarchy of conditions necessarily satisfied by any distribution P(ab) representing the probabilities for two separate observers to obtain outcomes a and b when making local measurements on a shared quantum state. Each condition in this hierarchy is formulated as a semidefinite program. Our approach can be used to obtain upper-bounds on the quantum violation of an arbitrary Bell inequality. It yields, for instance, tight bounds for the violations of the Collins et al. inequalities.
Original languageUndefined/Unknown
JournalPhysical Review Letters
Publication statusPublished - 18 Jul 2006

Bibliographical note

5 pages, no figures. v2: minor modifications


  • quant-ph

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