Kochen-Specker theorem for eight-dimensional space
نویسندگان
چکیده
منابع مشابه
Kochen-Specker theorem for eight-dimensional space
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...
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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...
متن کاملOntological Models for Quantum Mechanics and the Kochen-Specker theorem
Certain concrete “ontological models” for quantum mechanics (models in which measurement outcomes are deterministic and quantum states are equivalent to classical probability distributions over some space of ‘hidden variables’) are examined. The models are generalizations of Kochen and Specker’s such model for a single 2-dimensional system in particular a model for a three dimensional quantum s...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1995
ISSN: 0375-9601
DOI: 10.1016/0375-9601(95)00012-r