Finite Precision Measurement Nullifies the Kochen-Specker Theorem
نویسندگان
چکیده
منابع مشابه
Finite Precision Measurement Nullifies the Kochen-specker Theorem
Only finite precision measurements are experimentally reasonable, and they cannot distinguish a dense subset from its closure. We show that the rational vectors, which are dense in S, can be colored so that the contradiction with hidden variable theories provided by Kochen-Specker constructions does not obtain. Thus, in contrast to violation of the Bell inequalities, no quantum-over-classical a...
متن کاملNon-Contextuality, Finite Precision Measurement and the Kochen-Specker Theorem
Meyer originally raised the question of whether non-contextual hidden variable models can, despite the Kochen-Specker theorem, simulate the predictions of quantum mechanics to within any fixed finite experimental precision (Meyer, D. 1999. Phys. Rev. Lett., 83, 3751-3754). Meyer’s result was extended by Kent (Kent, A. 1999. Phys. Rev. Lett., 83, 37553757). Clifton and Kent later presented const...
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Following Meyer’s argument [Phys. Rev. Lett. 83, 3751 (1999)] the set of all directions in space is replaced by the dense subset of rational directions. The result conflicts with Euclidean geometry. Meyer’s claim [1] that “finite precision measurement nullifies the KochenSpecker theorem” (that is, makes it irrelevant to physics) and some of its generalizations [2] have caused considerable contr...
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The Kochen-Specker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central no-go theorems of quantum theory, showing the non-existence of a certain kind of hidden states models. In this paper, we first offer a new, non-combinatorial proof for quantum systems with a type In factor as algebra of observables, including I∞. Afterwards, we give a proof of...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1999
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.83.3751