Operational statistical theories and effect algebras

Enrico G. Beltrametti; Slawomir Bugajski

doi:10.1117/12.277658

1 July 1997 Operational statistical theories and effect algebras

Enrico G. Beltrametti, Slawomir Bugajski

Proceedings Volume 3076, Photonic Quantum Computing; (1997) https://doi.org/10.1117/12.277658
Event: AeroSense '97, 1997, Orlando, FL, United States

Abstract

We sketch the so called convex, or operational, framework for statistical physical theories, based on the convex set formed by the states of the physical system. A notion of observable is introduced which encompasses the ones usually adopted in classical and in quantum mechanics. In this framework a structure of effect algebra naturally arises. We also discuss a notion of extension of a descriptive physical model, pointing at the possibility of constructing classical extension of quantum mechanics.

Citation Download Citation

Enrico G. Beltrametti and Slawomir Bugajski "Operational statistical theories and effect algebras", Proc. SPIE 3076, Photonic Quantum Computing, (1 July 1997); https://doi.org/10.1117/12.277658

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