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Bounding the set of quantum correlations

Authors
  • Navascues, Miguel
  • Pironio, Stefano
  • Acin, Antonio
Type
Published Article
Publication Date
Mar 29, 2008
Submission Date
Jul 18, 2006
Identifiers
DOI: 10.1103/PhysRevLett.98.010401
arXiv ID: quant-ph/0607119
Source
arXiv
License
Unknown
External links

Abstract

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.

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