1108.3681 (Giacomo M. D'Ariano et al.)

Spooky action at a distance in general probabilistic theories    [PDF]

Giacomo M. D'Ariano, Franco Manessi, Paolo Perinotti

We call a probabilistic theory "complete" if it cannot be further refined by no-signaling hidden-variable models, and name a theory "spooky" if every equivalent hidden-variable model violates Shimony's Outcome Independence. We prove that a complete theory is spooky if and only if it admits a pure steering state in the sense of Schr\"odinger. Finally we show that steering of complementary states leads to a Schr\"odinger's cat-like paradox.

View original: http://arxiv.org/abs/1108.3681