Reality and Measurement in Algebraic Quantum Theory: NWW 2015, Nagoya, Japan, March 9-13

Description

This volume contains 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 foundations of quantum theory have been a source of mysteries, puzzles, and confusions, 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 in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science. Front Matter ....Pages i-viii Front Matter ....Pages 1-1 A Generalisation of Stone Duality to Orthomodular Lattices (Sarah Cannon, Andreas Döring)....Pages 3-65 Bell’s Local Causality is a d-Separation Criterion (Gábor Hofer-Szabó)....Pages 67-82 Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory (Yuichiro Kitajima)....Pages 83-95 Symmetries in Exact Bohrification (Klaas Landsman, Bert Lindenhovius)....Pages 97-118 Categorial Local Quantum Physics (Miklós Rédei)....Pages 119-132 Front Matter ....Pages 133-133 Reverse Data-Processing Theorems and Computational Second Laws (Francesco Buscemi)....Pages 135-159 Trust-Free Verification of Steering: Why You Can’t Cheat a Quantum Referee (Michael J. W. Hall)....Pages 161-178 Dynamics and Statistics in the Operator Algebra of Quantum Mechanics (Holger F. Hofmann)....Pages 179-194 A General Framework of Quasi-probabilities and the Statistical Behaviour of Non-commuting Quantum Observables (Jaeha Lee, Izumi Tsutsui)....Pages 195-228 A New Quantum Version of f-Divergence (Keiji Matsumoto)....Pages 229-273 Front Matter ....Pages 275-275 Peaceful Coexistence: Examining Kent’s Relativistic Solution to the Quantum Measurement Problem (Jeremy Butterfield)....Pages 277-314 Experimental Investigations of Uncertainty Relations Inherent in Successive \(1/2-\)Spin Measurements (Yuji Hasegawa)....Pages 315-330 Obituary for a Flea (Jasper van Heugten, Sander Wolters)....Pages 331-360 Measuring Processes and the Heisenberg Picture (Kazuya Okamura)....Pages 361-396