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This article is cited in 14 scientific papers (total in 14 papers)
METHODOLOGICAL NOTES
Bell's theorem for trichotomic observables
A. V. Belinsky Lomonosov Moscow State University, Faculty of Physics
Abstract:
Bell's paradoxes, due to the fundamental properties of light and the nature of the photon, are discussed within a single framework with a view to checking the hypothesis that a stationary, non-negative, joint probability distribution function exists. This hypothesis, related to the local theory of hidden parameters as a possible interpretation of quantum theory, enables experimentally verifiable Bell's inequalities to be formulated. The dependence of these inequalities on the number of observers $V$ is considered. Quantum theory predicts the breakdown of Bell's inequalities in optical experiments. It is shown that as $V$ increases, the requirements on the quantum effectiveness of the detector, $\eta$, are reduced from $\eta>2/3$ at $V$=2 to $\eta>1/2$ for $V\to\infty$. Examples of joint probability distribution functions are given for illustrative purposes, and a way to resolve the Greenberg–Horne–Zeilinger (GHZ) paradox is suggested.
Received: February 1, 1997
Citation:
A. V. Belinsky, “Bell's theorem for trichotomic observables”, UFN, 167:3 (1997), 323–335; Phys. Usp., 40:3 (1997), 305–316
Linking options:
https://www.mathnet.ru/eng/ufn1298 https://www.mathnet.ru/eng/ufn/v167/i3/p323
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