Abstract
We introduce a hierarchy of conditions necessarily satisfied by any distribution representing the probabilities for two separate observers to obtain outcomes and 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 violations of the Collins et al. inequalities.
- Received 18 July 2006
DOI:https://doi.org/10.1103/PhysRevLett.98.010401
©2007 American Physical Society