期刊
ENTROPY
卷 24, 期 9, 页码 -出版社
MDPI
DOI: 10.3390/e24091285
关键词
value indefiniteness; Kolmogorov axioms of probability theory; Pitowsky's logical indeterminacy principle; quantum mechanics; Gleason theorem; Kochen-Specker theorem; Born rule
资金
- Austrian Science Fund (FWF)
This passage discusses extending Kolmogorov's axioms of probability theory to conditional probabilities among distinct contexts, which generalizes approaches to quantum probabilities.
Kolmogorov's axioms of probability theory are extended to conditional probabilities among distinct (and sometimes intertwining) contexts. Formally, this amounts to row stochastic matrices whose entries characterize the conditional probability to find some observable (postselection) in one context, given an observable (preselection) in another context. As the respective probabilities need not (but, depending on the physical/model realization, can) be of the Born rule type, this generalizes approaches to quantum probabilities by Auffeves and Grangier, which in turn are inspired by Gleason's theorem.
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