Proposed Experimental Tests of the Bell-Kochen-Specker Theorem
نویسندگان
چکیده
منابع مشابه
Inequalities for experimental tests of the Kochen-Specker theorem
We derive inequalities for n spin-1/2 systems under the assumption that the hidden-variable theoretical joint probability distribution for any pair of commuting observables is equal to the quantum mechanical one. Fine showed that this assumption is connected to the no-hidden-variables theorem of Kochen and Specker (KS theorem). These inequalities give a way to experimentally test the KS theorem...
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A Kochen-Specker contradiction is produced with 36 vectors in a real eight-dimensional Hilbert space. These vectors can be combined into 30 distinct projection operators ( 14 of rank 2, and 16 of rank 1). A state-specific variant of this contradiction requires only 13 vectors, a remarkably low number for eight dimensions. The Kochen-Specker theorem [ l] asserts that, in a Hilbert space with a f...
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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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The Kochen-Specker theorem shows the incompatibility of noncontextual hidden variable theories with quantum mechanics. Quantum contextuality is a more general concept than quantum non-locality which is quite well tested in experiments using Bell inequalities. Within neutron interferometry we performed an experimental test of the Kochen-Specker theorem with an inequality, which identifies quantu...
متن کاملKochen–Specker Theorem: Two Geometric Proofs
We present two geometric proofs for KochenSpecker’s theorem [S. Kochen, E. P. Specker: The problem of hidden variables in quantum mechanics, J. Math. Mech. 17 (1967), 5987]. A quite similar argument has been used by Cooke, Keane, Moran [R. Cooke, M. Keane, W. Moran: An elementary proof of Gleason’s theorem, Math. Proc. Camb. Phil. Soc. 98 (1985), 117128], and by Kalmbach in her book to derive G...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1998
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.80.1797