This volume contains papers based on presentations at the "e;Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)"e;, 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 Schrodinger. 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.

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.

Part I Quantum Reality: Sarah Cannon and Andreas D¨oring, A Generalisation of Stone Duality to Orthomodular Lattices.- G´abor Hofer-Szab´o, Bell’s Local Causality is a d-Separation Criterion.- Yuichiro Kitajima, Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory.- Klaas Landsman and Bert Lindenhovius, Symmetries in Exact Bohrification.- Mikl´os R´edei, Categorial Local Quantum Physics.- Part II Quantum Information: Francesco Buscemi, Reverse Data-Processing Theorems and Computational Second Laws:.- Michael J. W. Hall, Trust-Free Verification of Steering: Why You Can’t Cheat a Quantum Referee.- Holger F. Hofmann, Dynamics and Statistics in the Operator Algebra of Quantum Mechanics.- Keiji Matsumoto, A New Quantum Version of f -Divergence.- Part III Quantum Measurement: Jeremy Butterfield, Peaceful Coexistence: Examining Kent’s Relativistic Solution to the Quantum Measurement Problem.- Yuji Hasegawa, Relations Inherent in Successive 1=2??Spin Measurements.- Jasper van Heugten and Sander Wolters, Obituary for a Flea.- Kazuya Okamura, Measuring Processes and the Heisenberg Picture.