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Quantum groups and Yang-Baxter equations

Natural Science Review
This introductory review is devoted to the newest section of the theory of symmetries - the theory of quantum groups. The principles of the theory of quantum groups are reviewed from the point of view of the possibility of their use for deformations of ...
A. Isaev
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The foundations of probability and quantum mechanics

Journal of Philosophical Logic, 1993
Starting with two interpretations of probability, viz. relative frequencies of attributes in infinite sequences, and betting quotients under weak coherence, the author establishes upper and lower probabilities [à la \textit{I. J. Good's} paper, Logic, Methodology and Philosophy of Science, Proc. 1960 internat. Congr. 319-329 (1962; Zbl 0192.021)]. This
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Superstrings and the Foundations of Quantum Mechanics

Foundations of Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Foundation for Quantum Computing II

International Journal of Theoretical Physics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Foundations of a quantum probability theory

Journal of Mathematical Physics, 1975
Statistical physical theories are frequently formulated in terms of probabilistic structures founded on a ’’logic of experimentally verifiable propositions.’’ It is argued that to each experimentally verifiable proposition there corresponds an experimental procedure which, in general, alters the state of the system, and is completely characterized by a
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Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis

Frontiers Comput. Sci.
This paper presents a systematic review of quantum computing approaches to healthcare-related computational problems, with an emphasis on quantum-theoretical foundations and algorithmic complexity.
Agostino Marengo, V. Santamato
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Mathematical Foundation for Quantum System

2016
This book introduces group representation theory in terms of quantum theory. For this purpose, this chapter introduces basic concepts of quantum theory, measurement, state, composite system, many-body system, and entanglement. It also prepares mathematical notations for quantum systems.
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Irreversibility and the Foundations of Quantum Mechanics

2003
We shall focus on the relations between irreversibility and the foundations of quantum mechanics, with particular attention to the macro-objectification problem.
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Axiomatic Foundations of Quantum Theories

Journal of Mathematical Physics, 1966
A formalism is developed on an axiomatic basis and is shown to contain as special cases classical mechanics, the usual quantum mechanics, as well as the quantum theory of systems with continuous superselection rules. The structure of the symmetries of a general physical theory is studied and a classification of observables is exhibited.
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News on Quantum Foundations of Consciousness

Perceptual and Motor Skills, 1990
This note was written by a theoretical physicist currently working on physical aspects of consciousness, mind-matter relationships, and mind-body interactions. My purpose here is to inform the readers of this journal, in not too technical terms, of some recent ideas relating quantum mechanics, gravitation, and psychological phenomena.
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