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Interference and inequality in quantum decision theory. (English) Zbl 1241.81010

Summary: The quantum decision theory is examined in its simplest form of two-condition two-choice setting. A set of inequalities to be satisfied by any quantum conditional probability describing the decision process is derived. Experimental data indicating the breakdown of classical explanations are critically examined with quantum theory using the full set of quantum phases.

MSC:

81P13 Contextuality in quantum theory
62C12 Empirical decision procedures; empirical Bayes procedures
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