37 research outputs found

    Reconstructing Bohr's Reply to EPR in Algebraic Quantum Theory

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    Halvorson and Clifton have given a mathematical reconstruction of Bohr's reply to Einstein, Podolsky and Rosen (EPR), and argued that this reply is dictated by the two requirements of classicality and objectivity for the description of experimental data, by proving consistency between their objectivity requirement and a contextualized version of the EPR reality criterion which had been introduced by Howard in his earlier analysis of Bohr's reply. In the present paper, we generalize the above consistency theorem, with a rather elementary proof, to a general formulation of EPR states applicable to both non-relativistic quantum mechanics and algebraic quantum field theory; and we clarify the elements of reality in EPR states in terms of Bohr's requirements of classicality and objectivity, in a general formulation of algebraic quantum theory.Comment: 13 pages, Late

    Reality, Nonlocality, and Measurement in Quantum Mechanics -

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    Nagoya Winter Workshop 2015 : Reality and Measurement in Algebraic Quantum Theory

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    This book features papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The book includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, as well as the interplay between experimental and theoretical investigations on the uncertainty principle. The foundations of quantum theory have been a source of mystery, puzzles and confusion, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed at the center of the mysteries originally explored by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are today explored from the most advanced perspectives. This book appeals to a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science
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