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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
- 2006
the role of quantum communication, presenting its importance for the forthcoming wireless. Then, we summarise the principles and basic mechanisms involved in quantum communication, including quantum entanglement, quantum superposition, and quantum teleportation. Further, we highlight its groundbreaking
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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 ...
- Jennifer S. Trueblood, Emmanuel M. Pothos, Jerome R. Busemeyer
- 2014
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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of quantum mechanics. Indeed, whether quantum probability can or cannot be ultimately reduced to classical probability connects rather nicely to the question of ‘hidden variables’ in quantum mechanics. 1 Quantum mechanics (once over gently) If a spinning charged object ies through an appropriately inhomogeneous
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 ...
