Kochen-Specker theorem and experimental test on hidden variables

Details Kochen-Specker theorem and experimental test on hidden variables Kochen-Specker theorem and experimental test on hidden variables

1999-11-06

arxiv.org/abs/quant-ph/9911022v1

Int. J. Mod. Phys. A 15 (2000) 2813

Physics

Quantum Physics

4 pages, 1 figure. To appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X00002029

A recent proposal to experimentally test quantum mechanics against noncontextual hidden-variable theories [Phys. Rev. Lett. 80, 1797 (1998)] is shown to be related with the smallest proof of the Kochen-Specker theorem currently known [Phys. Lett. A 212, 183 (1996)]. This proof contains eighteen yes-no questions about a four-dimensional physical system, combined in nine mutually incompatible tests. When these tests are considered as tests about a two-part two-state system, then quantum mechanics and non-contextual hidden variables make the same predictions for eight of them, but make different predictions for the ninth. Therefore, this ninth test would allow us to discriminate between quantum mechanics and noncontextual hidden-variable theories in a (gedanken) single run experiment.

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