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" Reality and measurement in algebraic quantum theory : "
Masanao Ozawa, Jeremy Butterfield, Hans Halvorson, Miklós Rédei, Yuichiro Kitajima, Francesco Buscemi, editors.
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BL
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| Record Number
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891631
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| Main Entry
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Nagoya Winter Workshop: Reality and Measurement in Algebraic Quantum Theory(2015 :, Nagoya, Japan)
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| Title & Author
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Reality and measurement in algebraic quantum theory : : NWW 2015, Nagoya, Japan, March 9-13 /\ Masanao Ozawa, Jeremy Butterfield, Hans Halvorson, Miklós Rédei, Yuichiro Kitajima, Francesco Buscemi, editors.
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| Publication Statement
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Singapore :: Springer,, 2018.
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| Series Statement
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Springer proceedings in mathematics & statistics,; volume 261
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| Page. NO
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1 online resource (viii, 396 pages) :: illustrations (some color)
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| ISBN
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9789811324871
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: 9811324875
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9789811324864
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9811324867
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| Contents
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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.
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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.
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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.
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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.
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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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| Abstract
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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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Quantum theory, Congresses.
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Quantum theory.
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SCIENCE-- Energy.
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SCIENCE-- Mechanics-- General.
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SCIENCE-- Physics-- General.
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| Dewey Classification
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530.12
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| LC Classification
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QC173.96
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| Added Entry
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Buscemi, Francesco
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Butterfield, Jeremy
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Halvorson, Hans
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Kitajima, Yuichiro
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Ozawa, Masanao
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Rédei, Miklós
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| Parallel Title
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NWW 2015
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