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On Bell-type inequalities. (English) Zbl 1213.81019
Summary: A Bell-type inequality is defined as an inequality of the type $$0\leq L\leq 1$$, where $$L$$ is a linear combination with real coefficients of probabilities $$p_i$$ and joint probabilities $$p_{ij}, p_{ijk},\dots$$, $$p_{l,\dots,n}$$ corresponding to $$n$$ events. A general theorem on the validity of such inequalities in correspondence to physical assumptions about commutativity or noncommutativity is given. Examples and possible physical applications are discussed.

MSC:
 81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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References:
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