Reality and measurement in algebraic quantum theory :
General Material Designation
[Book]
Other Title Information
NWW 2015, Nagoya, Japan, March 9-13 /
First Statement of Responsibility
Masanao Ozawa, Jeremy Butterfield, Hans Halvorson, Miklós Rédei, Yuichiro Kitajima, Francesco Buscemi, editors.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Singapore :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (viii, 396 pages) :
Other Physical Details
illustrations (some color)
SERIES
Series Title
Springer proceedings in mathematics & statistics,
Volume Designation
volume 261
ISSN of Series
2194-1009 ;
CONTENTS NOTE
Text of Note
Intro; Preface; Contents; Part I Quantum Reality; A Generalisation of Stone Duality to Orthomodular Lattices; 1 Introduction; 2 Background and Preliminary Results; 2.1 Ortholattices and Orthomodular Lattices; 2.2 Distributive Substructure of an Orthomodular Lattice; 2.3 Stone Duality; 2.4 Complete Orthomodular Lattices and Their Boolean Substructure; 2.5 Stonean Spaces and Stone Duality for Complete Boolean Algebras; 2.6 Galois Connections and the Adjoint Functor Theorem for Posets; 3 The Spectral Presheaf of an Orthomodular Lattice; 3.1 Definition; 3.2 Maps Between Spectral Presheaves.
Text of Note
3.3 Amending the Basic Axioms by Adding the Categorial Split Property3.4 The Tensor Axiom; 4 Relation of Axiom Systems; References; Part II Quantum Information; Reverse Data-Processing Theorems and Computational Second Laws; 1 Introduction; 2 A Reverse-Data Processing Theorem for Classical Channels; 2.1 Comparison of Noisy Channels; 2.2 Replacing H with Hmin; 3 The Fundamental Lemma for Quantum Channels; 3.1 Quantum Statistical Morphisms; 4 A Semiclassical (Semiquantum) Reverse-Data Processing Theorem; 5 A Fully Quantum Reverse Data-Processing Theorem.
Text of Note
3.3 The Category of mathcalD-Valued Presheaves3.4 The Category of mathcalC-Valued Copresheaves; 3.5 Dual Equivalences and Stone Duality; 3.6 Concrete Isomorphisms Between Spectral Presheaves and Bohrifications; 3.7 The Spectral Presheaf of an OML Is a Complete Invariant; 3.8 Interpretation of the Results so Far; 3.9 The Spectral Presheaf of a Complete OML Is a Complete Invariant; 4 Representing a Complete Orthomodular Lattice; 4.1 Clopen Subobjects of the Spectral Presheaf; 4.2 The Clopen Subobjects Form a Complete Bi-Heyting Algebra; 4.3 Daseinisation as Representation of a Complete OML.
Text of Note
4.4 Some Physical Interpretation4.5 The Adjoint of Daseinisation; 4.6 Regaining a cOML from the Algebra of Clopen Subobjects; 5 Conclusion; References; Bell's Local Causality is a d-Separation Criterion; 1 Introduction; 2 Bayesian Networks and d-Separation; 3 Bell's Local Causality in a Local Physical Theory; 4 Shielder-Off Regions are d-Separating; 5 Conclusions; References; Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory; 1 Introduction; 2 Algebraic Quantum Field Theory; 3 Completely Positive Maps; 4 Relatively Local Operations; 5 Conclusion; References.
Text of Note
Symmetries in Exact Bohrification1 Bohrification; 2 Symmetries in Quantum Theory on Hilbert Space; 3 Symmetries in Algebraic Quantum Theory; 4 Hamhalter's Theorem; 5 Projections; References; Categorial Local Quantum Physics; 1 The Main Idea of the Categorial Paradigm for Quantum Field Theory; 2 The Covariant Functor of Categorial Local Quantum Physics; 3 Causal Locality Conditions on the Covariant Functor; 3.1 The BASIC Axioms: Einstein Locality and Time Slice; 3.2 Amending the Basic Axioms by Adding Morphism Co-possibility as Subsystem Independence.
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SUMMARY OR ABSTRACT
Text of Note
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.--
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9789811324871
OTHER EDITION IN ANOTHER MEDIUM
Title
Reality and measurement in algebraic quantum theory.
International Standard Book Number
9789811324864
PARALLEL TITLE PROPER
Parallel Title
NWW 2015
TOPICAL NAME USED AS SUBJECT
Quantum theory, Congresses.
Quantum theory.
SCIENCE-- Energy.
SCIENCE-- Mechanics-- General.
SCIENCE-- Physics-- General.
(SUBJECT CATEGORY (Provisional
PBKF
PBKF
SCI-- 024000
SCI-- 041000
SCI-- 055000
DEWEY DECIMAL CLASSIFICATION
Number
530
.
12
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC173
.
96
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Buscemi, Francesco
Butterfield, Jeremy
Halvorson, Hans
Kitajima, Yuichiro
Ozawa, Masanao
Rédei, Miklós
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
Nagoya Winter Workshop: Reality and Measurement in Algebraic Quantum Theory(2015 :, Nagoya, Japan)