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000856436 020__ $$a9789811324871$$q(electronic book)
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000856436 0247_ $$a10.1007/978-981-13-2487-1$$2doi
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000856436 08204 $$a530.12$$223
000856436 1112_ $$aNagoya Winter Workshop: Reality and Measurement in Algebraic Quantum Theory$$d(2015 :$$cNagoya, Japan)
000856436 24510 $$aReality and measurement in algebraic quantum theory :$$bNWW 2015, Nagoya, Japan, March 9-13 /$$cMasanao Ozawa, Jeremy Butterfield, Hans Halvorson, Miklós Rédei, Yuichiro Kitajima, Francesco Buscemi, editors.
000856436 2463_ $$aNWW 2015
000856436 264_1 $$aSingapore :$$bSpringer,$$c2018.
000856436 300__ $$a1 online resource (viii, 396 pages) :$$billustrations
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000856436 4901_ $$aSpringer proceedings in mathematics & statistics,$$x2194-1009 ;$$vvolume 261
000856436 5050_ $$aIntro; 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
000856436 5058_ $$a3.3 The Category of mathcalD-Valued Presheaves3.4 The Category of mathcalC-Valued Copresheaves; 3.5 Dual Equivalences and Stone Duality; 3.6 Concrete Isomorphisms Between Spectral Presheaves and Bohrifications; 3.7 The Spectral Presheaf of an OML Is a Complete Invariant; 3.8 Interpretation of the Results so Far; 3.9 The Spectral Presheaf of a Complete OML Is a Complete Invariant; 4 Representing a Complete Orthomodular Lattice; 4.1 Clopen Subobjects of the Spectral Presheaf; 4.2 The Clopen Subobjects Form a Complete Bi-Heyting Algebra; 4.3 Daseinisation as Representation of a Complete OML
000856436 5058_ $$a4.4 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
000856436 5058_ $$aSymmetries in Exact Bohrification1 Bohrification; 2 Symmetries in Quantum Theory on Hilbert Space; 3 Symmetries in Algebraic Quantum Theory; 4 Hamhalter's Theorem; 5 Projections; References; Categorial Local Quantum Physics; 1 The Main Idea of the Categorial Paradigm for Quantum Field Theory; 2 The Covariant Functor of Categorial Local Quantum Physics; 3 Causal Locality Conditions on the Covariant Functor; 3.1 The BASIC Axioms: Einstein Locality and Time Slice; 3.2 Amending the Basic Axioms by Adding Morphism Co-possibility as Subsystem Independence
000856436 5058_ $$a3.3 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
000856436 506__ $$aAccess limited to authorized users.
000856436 520__ $$aThis 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.--$$cProvided by publisher.
000856436 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 13, 2018).
000856436 650_0 $$aQuantum theory$$vCongresses.
000856436 7001_ $$aOzawa, Masanao,$$eeditor.
000856436 7001_ $$aButterfield, Jeremy,$$eeditor.
000856436 7001_ $$aHalvorson, Hans,$$eeditor.
000856436 7001_ $$aRédei, Miklós,$$eeditor.
000856436 7001_ $$aKitajima, Yuichiro,$$eeditor.
000856436 7001_ $$aBuscemi, Francesco,$$eeditor.
000856436 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv. 261.
000856436 852__ $$bebk
000856436 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-13-2487-1$$zOnline Access$$91397441.1
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