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Feb 4, 2002 · A substantial literature has grown up around the programme of giving some independent motivation for this structure—ideally, by deriving it from more primitive and plausible axioms governing a generalized probability theory. 1. Quantum Mechanics as a Probability Calculus. 1.1 Quantum Probability in a Nutshell. 1.2 The “Logic” of Projections.
- Quantum Theory and Mathematical Rigor
A brief explanation for this shift is provided below. See...
- The Basic Theory of Ordering Relations
The Basic Theory of Ordering Relations. What follows is the...
- Bell's Theorem
Bell’s Theorem is the collective name for a family of...
- Quantum Theory and Mathematical Rigor
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings of noncommutative measure theory by von Neumann in the early thirties, as well. To precisely this end, von Neumann initiated the study of
- Miklos Redei, Stephen J. Summers
- 2006
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Quantum Probability: An Introduction Guido Bacciagaluppiy 14 February 2014 The topic of probabilty in quantum mechanics is rather vast, and in this article, we shall choose to discuss it from the perspective of whether and in what sense quantum mechanics requires a generalisation of the usual (Kolmogorovian) concept of probability.
QP theory is a geometric approach to probability where different possibilities (or events or questions) are represented as subspaces, of varying dimensionality, in a multidimensional Hilbert space. Hilbert spaces are like vector spaces, but with some additional properties. The system of inter-est (e.g., the cognitive state of a participant in ...
- Jennifer S. Trueblood, Emmanuel M. Pothos, Jerome R. Busemeyer
- 2014
Feb 4, 2002 · It is often viewed as a new kind of probability theory, governed by the quantum logic of projection operators on a Hilbert space [2] [3] [4] that can been carried outside quantum mechanics, as it ...
Feb 1, 2008 · quantum probability to conform to the classical mold we have to add objects (variables, events) and dynamical laws over and above those of quantum the-ory. This state of affairs calls for a philosophical analysis because the theory of probability is a theory of inference and, as such, is a guide to the formation of rational expectations.
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