Critical Reflections on Quantum Probability Theory

Vienna Circle Institute Yearbook 8:201-219 (2001)
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Abstract

The story of quantum probability theory and quantum logic begins with von Neumann’s recognition1, that quantum mechanics can be regarded as a kind of “probability theory”, if the subspace lattice L of the system’s Hilbert space H plays the role of event algebra and the ‘tr’-s play the role of probability distributions over these events. This idea had been completed in the Gleason theorem 2

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Laszlo E. Szabo
Eotvos Lorand University of Sciences

Citations of this work

Bell inequality and common causal explanation in algebraic quantum field theory.Gábor Hofer-Szabó & Péter Vecsernyés - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):404-416.
Can the ontological models framework accommodate Bohmian mechanics?Benjamin Feintzeig - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 48 (1):59-67.

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