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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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