Quantum Information Theory and the Foundations of Quantum Mechanics

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OUP Oxford, Apr 25, 2013 - Computers - 293 pages
Quantum Information Theory and the Foundations of Quantum Mechanics is a conceptual analysis of one of the most prominent and exciting new areas of physics, providing the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. Beginning from a careful, revisionary, analysis of the concepts of information in the everyday and classical information-theory settings, Christopher G. Timpson argues for an ontologically deflationary account of the nature of quantum information. Against what many have supposed, quantum information can be clearly defined (it is not a primitive or vague notion) but it is not part of the material contents of the world. Timpson's account sheds light on the nature of nonlocality and information flow in the presence of entanglement and, in particular, dissolves puzzles surrounding the remarkable process of quantum teleportation. In addition it permits a clear view of what the ontological and methodological lessons provided by quantum information theory are; lessons which bear on the gripping question of what role a concept like information has to play in fundamental physics. Topics discussed include the slogan 'Information is Physical', the prospects for an informational immaterialism (the view that information rather than matter might fundamentally constitute the world), and the status of the Church-Turing hypothesis in light of quantum computation. With a clear grasp of the concept of information in hand, Timpson turns his attention to the pressing question of whether advances in quantum information theory pave the way for the resolution of the traditional conceptual problems of quantum mechanics: the deep problems which loom over measurement, nonlocality and the general nature of quantum ontology. He marks out a number of common pitfalls to be avoided before analysing in detail some concrete proposals, including the radical quantum Bayesian programme of Caves, Fuchs, and Schack. One central moral which is drawn is that, for all the interest that the quantum information-inspired approaches hold, no cheap resolutions to the traditional problems of quantum mechanics are to be had.
 

Contents

1 Introduction
1
2 What is Information?
10
3 Quantum Information Theory
45
Teleportation
74
Nonlocality Entanglement and Information Flow
99
6 Quantum Computation and the ChurchTuring Hypothesis
126
Preliminaries
145
8 Some InformationTheoretic Approaches
152
The Proposal
188
Challenges
212
11 Conclusions
236
Bibliography
265
Index
285
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About the author (2013)

Christopher G. Timpson read Physics and Philosophy as an undergraduate at Queen's College, Oxford, before going on to take the BPhil and DPhil in philosophy there. His DPhil thesis concerned philosophical aspects of quantum information theory. He then taught for three years at the University of Leeds as a Lecturer in the Department of Philosophy and Division of History and Philosophy of Science, before taking up a Tutorial Fellowship and CUF Lectureship at Brasenose College, Oxford in 2007.

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