Quantum Probability ― Quantum Logic (Lecture Notes in Physics)

This book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory". Using the concept of "correlation" carefully analyzed in the context of classical probability and in quantum theory, the author provides a framework to compare these approaches. He also develops an extension of probability theory to construct a local hidden variable theory. The book should be of interest for physicists and philosophers of science interested in the foundations of quantum theory. Introduction....Pages 1-10 Classical correlation polytopes and propositional logic....Pages 11-51 Quantum correlations....Pages 52-99 Quantum logic....Pages 100-137 Hidden variables and Kolmogorovian models....Pages 138-175 Philosophical remarks....Pages 176-196