Compatibility for probabilistic theories

In: Mathematica Slovaca, vol. 66, no. 2

Stanley Gudder

Detaily:

Rok, strany: 2016, 449 - 458

Kľúčové slová:

probabilistic theory, compatibility, compatibility index, observable, joint observable, measure of compatibility, concrete quantum logic

DOI: https://doi.org/10.1515/ms-2015-0149

O článku:

We define an index of compatibility for a probabilistic theory (PT). Quantum mechanics with index $0$ and classical probability theory with index $1$ are at the two extremes. In this way, quantum mechanics is at least as incompatible as any PT. We consider a PT called a concrete quantum logic that may have compatibility index strictly between $0$ and $1$, but we have not been able to show this yet. Finally, we show that observables in a PT can be represented by positive, vector-valued measures.

Ako citovať:

ISO 690:

Gudder, S. 2016. Compatibility for probabilistic theories. In Mathematica Slovaca, vol. 66, no.2, pp. 449-458. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0149

APA:

Gudder, S. (2016). Compatibility for probabilistic theories. Mathematica Slovaca, 66(2), 449-458. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0149

O vydaní:

Publikované: 1. 4. 2016