A discussion on the origin of quantum probabilities |
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| Authors: | Federico Holik,Manuel Sá enz,Angel Plastino |
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| Affiliation: | 1. Universidad Nacional de La Plata, Instituto de Física (IFLP-CCT-CONICET), C.C. 727, 1900 La Plata, Argentina;2. Departamento de Matemática - Ciclo Básico Común, Universidad de Buenos Aires - Pabellón III, Ciudad Universitaria, Buenos Aires, Argentina;3. Universitat de les Illes Balears and IFISC-CSIC, 07122 Palma de Mallorca, Spain |
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| Abstract: | We study the origin of quantum probabilities as arising from non-Boolean propositional-operational structures. We apply the method developed by Cox to non distributive lattices and develop an alternative formulation of non-Kolmogorovian probability measures for quantum mechanics. By generalizing the method presented in previous works, we outline a general framework for the deduction of probabilities in general propositional structures represented by lattices (including the non-distributive case). |
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| Keywords: | Quantum probability Lattice theory Information theory |
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