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Generalized Probabilities in Statistical Theories

1
Instituto de Física (IFLP-CCT-CONICET), Universidad Nacional de La Plata, C.C. 727, La Plata 1900, Argentina
2
Departamento de Matemática, Universidad CAECE, Buenos Aires 1084, Argentina
3
International Center for Theoretical Physics, UNESCO, 34151 Trieste, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Gerald B. Cleaver
Quantum Rep. 2021, 3(3), 389-416; https://doi.org/10.3390/quantum3030025
Received: 30 June 2021 / Revised: 19 July 2021 / Accepted: 26 July 2021 / Published: 29 July 2021
We discuss different formal frameworks for the description of generalized probabilities in statistical theories. We analyze the particular cases of probabilities appearing in classical and quantum mechanics and the approach to generalized probabilities based on convex sets. We argue for considering quantum probabilities as the natural probabilistic assignments for rational agents dealing with contextual probabilistic models. In this way, the formal structure of quantum probabilities as a non-Boolean probabilistic calculus is endowed with a natural interpretation. View Full-Text
Keywords: quantum probability; lattice theory; information theory; classical probability; Cox’s approach quantum probability; lattice theory; information theory; classical probability; Cox’s approach
MDPI and ACS Style

Holik, F.; Massri, C.; Plastino, A.; Sáenz, M. Generalized Probabilities in Statistical Theories. Quantum Rep. 2021, 3, 389-416. https://doi.org/10.3390/quantum3030025

AMA Style

Holik F, Massri C, Plastino A, Sáenz M. Generalized Probabilities in Statistical Theories. Quantum Reports. 2021; 3(3):389-416. https://doi.org/10.3390/quantum3030025

Chicago/Turabian Style

Holik, Federico, César Massri, Angelo Plastino, and Manuel Sáenz. 2021. "Generalized Probabilities in Statistical Theories" Quantum Reports 3, no. 3: 389-416. https://doi.org/10.3390/quantum3030025

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