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BL
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| Record Number
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861593
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| Main Entry
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Auletta, Gennaro,1957-
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| Title & Author
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The Quantum Mechanics Conundrum : : Interpretation and Foundations /\ Gennaro Auletta.
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| Publication Statement
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Cham :: Springer,, 2019.
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| Page. NO
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1 online resource (879 pages)
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| ISBN
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3030166481
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: 303016649X
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: 3030166503
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: 3030166511
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: 9783030166489
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: 9783030166496
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: 9783030166502
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: 9783030166519
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9783030166489
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| Notes
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4.4.3 Logic Gate Teleportation
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Intro; Preface; Introduction; Contents; Abbreviations; List of Figures; List of Tables; 1 Summary of the Basic Elements of the Theory; 1.1 The Beginning of Quantum Mechanics; 1.1.1 From the Classical to the Quantum World; 1.1.2 The Quantum Postulate and Matter's Discontinuity; 1.1.3 The Road to the Schrödinger Equation; 1.2 The Basic Principles of Quantum Mechanics; 1.2.1 The Superposition Principle; 1.2.2 The Quantisation Principle; 1.2.3 Physical Observables and Different Representations; 1.2.4 Commutativity and Uncertainty Relations; 1.2.5 Unitary Transformations and Symmetries
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1.3 Some Further Principles1.3.1 Pauli's Exclusion Principle and Spin; 1.3.2 The Correspondence Principle; 1.3.3 The Complementarity Principle; 1.4 Density Operator and Compound Systems; 1.4.1 Pure and Mixed States; 1.4.2 Entangled and Product States; 1.4.3 Total and Marginal States; 1.5 Summary; References; 2 The Main Problems; 2.1 Quantum-Mechanical Formalism; 2.1.1 Two Pictures of Quantum Dynamics; 2.1.2 Probability and Interference; 2.1.3 What Does the Quantum-Mechanical Formalism Tell Us?; 2.2 The Measurement Problem; 2.2.1 It is Not a Problem for Classical Physics
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2.2.2 It is a Double Problem for Quantum Mechanics2.2.3 von Neumann's Problem; 2.2.4 What Are the Consequences?; 2.2.5 Schrödinger Cat; 2.3 The Problem of Non-locality; 2.3.1 The Paradox Proposed by Einstein-Podolsky-Rosen; 2.3.2 Classical Physics and Locality; 2.3.3 Reality and Correlations; 2.3.4 Possible Replies to EPR; 2.4 The Problem of Causality; 2.4.1 Classically; 2.4.2 Quantum-Mechanically; 2.4.3 Delayed Choice; 2.5 Summary of the Chapter; References; 3 The Main Interpretations; 3.1 Solutions to the Measurement Problem; 3.1.1 Subjectivist Interpretation
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3.1.2 Objectivist Interpretation3.1.3 Role of the Environment; 3.1.4 Solution of the Cat's Paradox; 3.1.5 Summarising; 3.2 Formalism and Reality: Information; 3.2.1 Objectivism; 3.2.2 A Formalism That Denotes a Reality?; 3.2.3 Dealing with Information; 3.2.4 Two Points of View on Entropy and Information; 3.3 Hidden Variables and Non-locality; 3.3.1 Logical Restatement of the EPR Argument; 3.3.2 Bohr's Reply to EPR; 3.3.3 Schrödinger's Reply to EPR; 3.3.4 Hidden Variables; 3.3.5 Bell Inequalities for Testing EPR; 3.3.6 Entanglement Swapping, Teleportation, Quantum Cryptography
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3.3.7 What Is Non-separability3.4 Back to the Problem of Causality; 3.4.1 Form, Structure and Information; 3.4.2 Correlations and Causal Constraints; 3.4.3 Potentiality; 3.5 Summary; References; 4 Quantum Computation; 4.1 A Reversible Multipath Computation; 4.2 Quantum Gates; 4.2.1 The Basic Gates; 4.2.2 Generation of States; 4.2.3 Relations Among Gates; 4.3 Quantum Algorithms for Computing; 4.3.1 Deutsch's Algorithm; 4.3.2 Shor's Theorem; 4.3.3 Grover's Algorithm; 4.4 Heisenberg Picture and Teleportations; 4.4.1 Heisenberg Picture for Computation; 4.4.2 Generalised Teleportation
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| Abstract
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This comprehensive volume gives a balanced and systematic treatment of both the interpretation and the mathematical-conceptual foundations of quantum mechanics. It is written in a pedagogical style and addresses many thorny problems of fundamental physics. The first aspect concerns Interpretation. The author raises the central problems: formalism, measurement, non-locality, and causality. The main positions on these subjects are presented and critically analysed. The aim is to show that the main schools can converge on a core interpretation. The second aspect concerns Foundations. Here it is shown that the whole theory can be grounded on information theory. The distinction between information and signal leads us to integrating quantum mechanics and relativity. Category theory is presented and its significance for quantum information shown; the logic and epistemological bases of the theory are assessed. Of relevance to all physicists and philosophers with an interest in quantum theory and its foundations, this book is destined to become a classic work.
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| Subject
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Quantum theory.
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| Subject
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Quantum theory.
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| Dewey Classification
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530.12
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| LC Classification
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QC174.12
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