A theory is spooky if and only if it is steering

Details A theory is spooky if and only if it is steering A theory is spooky if and only if it is steering

2011-08-18

arxiv.org/abs/1108.3681v1

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

We call a probabilistic theory "complete" if it cannot be further hidden-variable refined, and name a complete theory "spooky" if it violates Shimony Outcome Independence. We prove that among complete theories non spooky ones are singular, and that the theory is spooky if and only if it admits a pure steering state in the sense of Schr\"odinger. Our proof does not require the free will hypothesis, since non-locality is obtained with no choice by the observers. Finally we show that steering of complementary states leads to a Schr\"odinger's cat-like paradox.

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