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probability theory as it had been around since the times of Fermat, physicists were discovering a whole new type of probability theory. With the arrival of the Copenhagen interpretation of quantum mechanics, it became clear that quantum mechanics, at its heart, is a theory about probabilities, and that these probabilities
The paper reviews quantum probability theory in terms of general von Neumann algebras, stressing the similarity of the conceptual structure of classical and noncommutative probability theories and emphasizing the correspondence between the classical and quantum concepts, though also indicating the nonclassical nature of quantum probabilistic pre...
- Miklos Redei, Stephen J. Summers
- 2006
Feb 4, 2002 · Quantum Logic and Probability Theory. First published Mon Feb 4, 2002; substantive revision Tue Aug 10, 2021. Mathematically, quantum mechanics can be regarded as a non-classical probability calculus resting upon a non-classical propositional logic.
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.
Mar 17, 2022 · Quantum probability--quantum logic. by. Pitowsky, Itamar, 1950-. Publication date. 1989. Topics. Quantum logic, Logic, Symbolic and mathematical, Quantum theory, Quantum Theory, Logique symbolique et mathématique, Théorie quantique, Logique quantique, Korrelation, Quantenlogik, Quantenmechanik, Quantenstatistik, Quantentheorie ...
Feb 4, 2002 · Quantum Logic and Probability Theory. First published Mon Feb 4, 2002; substantive revision Mon Feb 27, 2006. At its core, quantum mechanics can be regarded as a non-classical probability calculus resting upon a non-classical propositional logic.
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Entirely apart from its potential as a technology, quantum computation is a beautiful subject that combines mathematics, physics, and computer science. This article is a concise introduction to quantum probability theory, quantum mechanics, and quan-tum computation for the mathematically prepared reader.
