1204.5913 (Matty J. Hoban)

Computational Perspectives on Bell Inequalities and Many-body Quantum
Correlations    [PDF]

Matty J. Hoban

The predictions of quantum mechanics cannot be resolved with a completely classical view of the world. In particular, the statistics of space-like separated measurements on entangled quantum systems violate a Bell inequality. We put forward a computational perspective on a broad class of Bell tests that study correlators, or the statistics of joint measurement outcomes. We associate particular maps, or functions to particular theories. The violation of a Bell inequality then implies the ability to perform some functions, or computations that classical, or more generally, local hidden variable (LHV) theories cannot.

View original: http://arxiv.org/abs/1204.5913