Spooky action-at-a-distance in general probabilistic theories
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.
- Publication:
-
Physics Letters A
- Pub Date:
- October 2012
- DOI:
- 10.1016/j.physleta.2012.08.003
- arXiv:
- arXiv:1108.3681
- Bibcode:
- 2012PhLA..376.2926D
- Keywords:
-
- Quantum theory;
- Hidden variable theories;
- Schrödinger's cat;
- Steering;
- Quantum Physics
- E-Print:
- 7 pages, 1 figure, elsart, significantly revised version