Bell-Kochen-Specker theorem: A proof with 18 vectors
نویسندگان
چکیده
منابع مشابه
Kochen–Specker vectors
We give a constructive and exhaustive definition of Kochen–Specker (KS) vectors in a Hilbert space of any dimension as well as of all the remaining vectors of the space. KS vectors are elements of any set of orthonormal states, i.e., vectors in an n-dimensional Hilbert space, H, n 3, to which it is impossible to assign 1s and 0s in such a way that no two mutually orthogonal vectors from the set...
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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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There are many different definitions of what a Bell-Kochen-Specker proof with POVMs might be. Here we present and discuss the minimal proof on qubits for three of these definitions and show that they are indeed minimal. Einstein, Podolsky and Rosen argued in their 1935 paper that quantum mechanics was not complete [1]. Their argument is based on the fact that there seems to be some weird correl...
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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...
متن کاملKochen-Specker theorem for von Neumann algebras
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: Physics Letters A
سال: 1996
ISSN: 0375-9601
DOI: 10.1016/0375-9601(96)00134-x