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- Larsson, Jan-Åke, et al.
(författare)
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Maximal violation of state-independent contextuality inequalities
- 2012
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Ingår i: Quantum Theory: Reconsideration of Foundations - 6. - : American Institute of Physics (AIP). - 9780735411265 ; , s. 265-274
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Konferensbidrag (refereegranskat)abstract
- The discussion on noncontextual hidden variable models as an underlying description for the quantum-mechanical predictions started in ernest with 1967 paper by Kochen and Specker. There, it was shown that no noncontextual hidden-variable model can give these predictions. The proof used in that paper is complicated, but recently, a paper by Yu and Oh [PRL, 2012] proposes a simpler statistical proof that can also be the basis of an experimental test. Here we report on a sharper version of that statistical proof, and also explain why the algebraic upper bound to the expressions used are not reachable, even with a reasonable contextual hidden variable model. Specifically, we show that the quantum mechanical predictions reach the maximal possible value for a contextual model that keeps the expectation value of the measurement outcomes constant.
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