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arXiv · 1108.3681

Spooky action at a distance in general probabilistic theories

Giacomo M. D'Ariano·Franco Manessi·Paolo Perinotti
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Abstract

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 Schrödinger. Finally we show that steering of complementary states leads to a Schrödinger's cat-like paradox.

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Giacomo M. D'Ariano, Franco Manessi, Paolo Perinotti. 2012-07-09. Spooky action at a distance in general probabilistic theories. https://doi.org/10.1016/j.physleta.2012.08.003

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