Bounding the set of quantum correlations.
@article{Navascus2007BoundingTS,
title={Bounding the set of quantum correlations.},
author={Miguel Navascu{\'e}s and Stefano Pironio and Antonio Ac{\'i}n},
journal={Physical review letters},
year={2007},
volume={98 1},
pages={
010401
}
}We introduce a hierarchy of conditions necessarily satisfied by any distribution P_{alphabeta} representing the probabilities for two separate observers to obtain outcomes alpha and beta when making local measurements on a shared quantum state. Each condition in this hierarchy is formulated as a semidefinite program. Among other applications, 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…
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