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2011

Minimal Kochen-Specker theorem in finite dimensions

Yu, Sixia, Oh, C. H.

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In [1] we proved a strengthened Kochen-Specker theorem in 3 dimensions: non-contextual hidden variable (NCHV) models cannot reproduce all the quantum correlations of two compatible observables, which is a minimal requirement imposed on the NCHV models.

Here we shall exclude the NCHV models with this minimal requirement in $d\ge 4$ dimensions by state-independent and experimentally testable inequalities satisfied by all NCHV models that are required to reproduce only the quantum correlations of at most two compatible observables.
Furthermore our proofs use the smallest number of rays known so far, e.g., 25 (instead of 31) rays in $5$ dimensions and $5d-2\lfloor d/3\rfloor$ rays in $d\ge 6$ dimensions.

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Built on

J.S. Bell, Rev. Mod. Phys. 38
1966
Earlier work this paper cites.
S. Kochen and E.P. Specker, J. Math. Mech. 17
1967
Earlier work this paper cites.
A. Peres, Phys. Lett. A 151
1990
Earlier work this paper cites.
N.D. Mermin, Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
A. Peres, J. Phys. A 24
1991
Earlier work this paper cites.
R. Clifton, Am. J. Phys. 61
1993
Earlier work this paper cites.
J. Zimba and R. Penrose, Stud. Hist. Phil. Sci. 24
1993
Earlier work this paper cites.
As reported by K. Svozil in 1994 and J. Bub, Found. Phys. 26
1996
Earlier work this paper cites.

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