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arXiv · 0809.0430

Universality of state-independent violation of correlation inequalities for noncontextual theories

Piotr Badziag·Ingemar Bengtsson·Adan Cabello·Itamar Pitowsky
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Abstract

We show that the state-independent violation of inequalities for noncontextual hidden variable theories introduced in [Phys. Rev. Lett. 101, 210401 (2008)] is universal, i.e., occurs for any quantum mechanical system in which noncontextuality is meaningful. We describe a method to obtain state-independent violations for any system of dimension d > 2. This universality proves that, according to quantum mechanics, there are no "classical" states.

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Piotr Badziag, Ingemar Bengtsson, Adan Cabello, Itamar Pitowsky. 2009-07-28. Universality of state-independent violation of correlation inequalities for noncontextual theories. https://doi.org/10.1103/physrevlett.103.050401

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