Generalized Probabilities in Statistical Theories

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...

Full description

Saved in:
Bibliographic Details
Published in:Quantum reports 2021-09, Vol.3 (3), p.389-416
Main Authors: Holik, Federico, Massri, César, Plastino, Angelo, Sáenz, Manuel
Format: Article
Language:English
Subjects:
Algebra
Boolean
Boolean algebra
classical probability
Convexity
Cox’s approach
Hilbert space
information theory
lattice theory
Probabilistic models
Probability
Quantum mechanics
Quantum physics
quantum probability
Quantum theory
Random variables
Statistical analysis
Statistical mechanics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2624-960X
2624-960X
DOI:10.3390/quantum3030025