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Feb 4, 2002 · 1. Quantum Mechanics as a Probability Calculus. 1.1 Quantum Probability in a Nutshell. 1.2 The “Logic” of Projections. 1.3 Probability Measures and Gleason’s Theorem. 1.4 The Reconstruction of QM. 2. Interpretations of Quantum Logic. 2.1 Realist Quantum Logic. 2.2 Operational Quantum Logic. 3. Generalized Probability Theory.
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- Quantum Theory and Mathematical Rigor
ically relevant differences between abelian (classical) probability theory, nonabelian type I probability theory and non-type–I probability theory will be indicated in Section 7. 2 Algebras of Bounded Operators In this section we shall briefly describe the aspects of operator algebra theory which are most relevant to our topic.
- Miklos Redei, Stephen J. Summers
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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 ...
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- 2014
Nov 9, 2020 · View PDF Abstract: This is a preliminary version of a book in progress on the theory of quantum communication. We adopt an information-theoretic perspective throughout and give a comprehensive account of fundamental results in quantum communication theory from the past decade (and earlier), with an emphasis on the modern one-shot-to-asymptotic ...
- Sumeet Khatri, Mark M. Wilde
- 2020
What we intend to do, in the following, is to contribute some novel points of view to the “foundations of quantum mechanics”, using mathematical tools from “quantum probability theory” (such as the theory of operator algebras). The “foundations of quantum mechanics” represent a notoriously thorny and enigmatic subject.
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.
Feb 4, 2002 · Request PDF | On Feb 4, 2002, Alexander Wilce published Quantum Logic and Probability Theory | Find, read and cite all the research you need on ResearchGate
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