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Quantum information theory and the foundations of quantum mechanics / Christopher G. Timpson

Author
Timpson, Christopher Gordon, 1976-
Published
Oxford : Oxford University Press, 2013.
Physical Description
1 online resource (xiii, 293 pages).
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Contents
Machine generated contents note: 1.Introduction -- 2.What is Information? -- 2.1.How to talk about information: Some simple ways -- 2.2.The Shannon Information and related concepts -- 2.2.1.Warming up -- 2.2.2.Formal development of the theory; and the definition of Informationt -- 2.2.3.Information and Uncertainty -- 2.2.4.More on the communication channel -- 2.2.5.Mutual informationt and flow -- 2.3.Alternative approaches: Dretske and Semantic Naturalism -- 2.3.1.Dretske's information that -- 2.4.Summary -- 3.Quantum Information Theory -- 3.1.Introduction -- 3.2.Bits and qubits -- 3.3.The no-cloning theorem -- 3.4.Entanglement-assisted communication -- 3.5.Quantum computers -- 3.6.What is quantum information? -- 3.6.1.Quantum sources: how much -- 3.6.2.Quantum sources: what -- 3.6.3.An objection: Jozsa's argument -- 3.7.The worldliness of quantum information -- 3.7.1.Information and the physical -- 3.8.Summary -- 4.Case Study: Teleportation -- 4.1.Introduction -- 4.2.The quantum teleportation protocol -- 4.2.1.Some information-theoretic aspects of teleportation -- 4.3.The puzzles of teleportation -- 4.4.Resolving (dissolving) the problem -- 4.4.1.The simulation fallacy -- 4.5.The teleportation process under different interpretations -- 4.5.1.Collapse interpretations: Dirac/von Neumann, GRW -- 4.5.2.No collapse and no extra values: Everett -- 4.5.3.No collapse, but extra values: Bohm -- 4.5.4.Ensemble and statistical viewpoints -- 4.6.Concluding remarks -- 5.The Deutsch--Hayden Approach: Nonlocality, Entanglement, and Information Flow -- 5.1.Introduction -- 5.2.The Deutsch-Hayden Picture -- 5.2.1.Locality claim (2): Contiguity -- 5.3.Assessing the Claims to Locality -- 5.3.1.The Conservative Interpretation -- 5.3.2.The Ontological Interpretation -- 5.4.Information and Information Flow -- 5.4.1.Whereabouts of information -- 5.4.2.Explaining information* flow in teleportation: Locally accessible and inaccessible informationt -- 5.4.3.Assessing the claims for information flow -- 5.5.Conclusion -- 6.Quantum Computation and the Church-Turing Hypothesis -- 6.1.Introduction -- 6.2.Quantum computation and containing information -- 6.3.The Turing Principle versus the Church-Turing Hypothesis -- 6.3.1.Non-Turing computability? The example of Malament--Hogarth spacetimes -- 6.3.2.Lessons -- 6.4.The Church-Turing Hypothesis as a constraint on physics? -- 6.5.Message -- 7.Information and the Foundations of Quantum Mechanics: Preliminaries -- 7.1.Information Talk in Quantum Mechanics -- 8.Some Information-Theoretic Approaches -- 8.1.Introduction -- 8.2.Zeilinger's Foundational Principle -- 8.2.1.Word and world: Semantic ascent -- 8.2.2.Where next? -- 8.3.The Clifton' Bub--Halvorson characterization theorem -- 8.3.1.The setting -- 8.3.2.Some queries regarding the C*-algebraic starting point -- 8.3.3.Questions of Interpretation -- 8.4.Further Developments: Generalized Probability Theories -- 8.5.Conclusion -- 9.Quantum Bayesianism 1: The Proposal -- 9.1.Introduction -- 9.2.Setting the Scene -- 9.2.1.An outline of the position -- 9.2.2.In more detail -- 9.2.3.From information to belief -- 9.2.4.Two hints -- 9.3.Not solipsism; and not instrumentalism, either -- 9.4.Summary: The virtues -- 10.Quantum Bayesianism 2: Challenges -- 10.1.What's the ontology? -- 10.1.1.Objectivity and the classical level -- 10.1.2.Quantum states for classical objects -- 10.2.Troubles with explanation -- 10.3.Subjective probabilities -- 10.3.1.A Quantum Bayesian Moore's Paradox -- 10.3.2.The means/ends objection -- 10.4.Conclusions -- 11.Conclusions -- A.A Review of the Quantum Formalism -- A.1.Hilbert Space and Linear Operators -- A.2.States and Measurement -- B.Generalized Uncertainty Measures: Uffink's Axioms -- B.1.The Uncertainty Measures Ur(P,μ) -- B.2.Uniqueness arguments for the Shannon Information -- B.3.Majorization and entropic criteria for entanglement.
Summary
Christopher G. Timpson provides a full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.
Subject(s)
ISBN
9780191741791 (ebook)
Bibliography Note
Includes bibliographical references and index.
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