Quantum information theory and the foundations of quantum mechanics
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Quantum information theory and the foundations of quantum mechanics
arXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics A thesis submitted for the degree of Doctor of Philosophy at the University of OxfordTrinity Tenn 2004Quantum Information Theory and the Foundations of Quantum MechanicsChristopher Gordon Timpson, The Queen's CollegeOxford University. Trinity Tenn 200-1Abstract of Thesis Submitted for the Degree of Quantum information theory and the foundations of quantum mechanics Doctor of PhilosophyThis thesis is a contribution to the debate on the implications of quantum information theory for the foundational problems of quaQuantum information theory and the foundations of quantum mechanics
ntum mechanics.In Part I an attempt is made to shed some light on the nature of information and quantum information theory. It is emphasized that the arXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics n both settings ‘information’ functions as an abstract noun, hence does not refer to a particular or substance. The popular claim ‘Information is Physical’ is assessed and it is argued that this proposition faces a destructive dilemma. Accordingly, the slogan may not be understood as an ontological Quantum information theory and the foundations of quantum mechanics claim, but at best, as a methodological one. A novel argument is provided against Dretske’s (1981) attempt to base a semantic notion of information onQuantum information theory and the foundations of quantum mechanics
ideas from information theory.The function of various measures of information content for quantum systems is explored and the applicability of the SharXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics then explored as a case study serving to emphasize the value of recognising the logical status of information’ as an abstract noun: it is argued that the concept ual puzzles often associated with this phenomenon result from the familiar error of hypostatizing an abstract noun.The approach of Deutsch Quantum information theory and the foundations of quantum mechanics and Hayden (2000) to the questions of locality and information How in entangled quantum systems is assessed. It is suggested that the approach sufferQuantum information theory and the foundations of quantum mechanics
s from an equivocation between a conservative and an ontological reading: and the differing implications of each is examined. Some results arc presentarXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics omputation. In particular, it is argued against Deutsch that the Church-Turing hypothesis is not underwritten by a physical principle, the 'luring Principle. Some general morals are drawn concerning the nature of quantum information theory.In Part II. attention turns to the question of the implicati Quantum information theory and the foundations of quantum mechanics ons of quantum information theory for our understanding of the meaning of the quantum formalism. Following some preliminary remarks, two particular inQuantum information theory and the foundations of quantum mechanics
formation-theoretic approaches to the foundations of quantum mechanics are assessed in detail. It is argued that Zeilinger’s (1999) Foundational PrincarXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics son (2003) is assessed more favourably, but the generality of the approach is questioned and it is argued that the implications of the theorem for the traditional foundational problems in quantum mechanics remains oliscure.vrvAV.pdigrip.comAcknowledgementsll is my pleasant duty to thunk a large numb Quantum information theory and the foundations of quantum mechanics er of people, and more than one institution, for the various forms of help, encouragement and support that they have provided during the lime 1 have bQuantum information theory and the foundations of quantum mechanics
een working on this thesis.The UK Arts and Humanities Research Board kindly supporter! my research with a postgraduate studentship for the two years oarXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics d for the many years of support that the College has provided, both material and otherwise. RfXfinae mint niiiriw hide: no truer words might be said. A number of libraries have figured strongly during the lime 1 have been al Oxford: 1 would like in particular to thank the stall al the Queen’s and Ph Quantum information theory and the foundations of quantum mechanics ilosophy Faculty libraries for their help over the years.On a more personal note, 1 would like to extend my thanks and appreciation to my supervisor HQuantum information theory and the foundations of quantum mechanics
arvey Brown, whose good example over the years has helper! shape my approach to foundational questions in physics and who has taught inc much of what arXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics to John Hyman, my earliest teacher ill philosophy, who has continued to offer a great deal of assistance and encouragement over the years; and whose fearsome questioning helprxl show me what it is to do philosophy (and, incidentally, alerted me to the dangers of Ịiernicious theorising).Jon Barrett a Quantum information theory and the foundations of quantum mechanics nd 1 started out on the quest to understand the foundations and philosophy of physics at the same t ime, just about a decade ago. now. Since then, weQuantum information theory and the foundations of quantum mechanics
have shared much camaraderie and many conversations, several of which have found their way into this thesis at one point or another. Ami Jon is still arXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics whom have been greatly encouraging and who have offered useful comments on and discussion of my work. In particular, 1 should single oul Jos Uflink for his unstinting help in sharing his expertise in quantum mechanics, uncertainty and probability: and for providing me with a copy of his unpublished Quantum information theory and the foundations of quantum mechanics PhD dissertation on measures of uncertainty and the uncertainty principle. My understanding of measures of information has been heavily influenced byQuantum information theory and the foundations of quantum mechanics
Jos’s work.The (rest of the) Oxford philosophy of physics mob are also due a great big thank you: one couldn't hope for a more stimulating intellectuaarXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics and David Wallace for much fun. support and discussion (occasionally of the late night variety).wvAV.pdfgrip.comA little further afield, 1 would like to thank Marcus Appleby. Ari Duwell. Doreen FYaser. Hans Halvorson, Michael Hall. Leah Henderson, Clare Hewitt-Hotsman (in particular on the topic of Quantum information theory and the foundations of quantum mechanics Chapter 5), Richard Jozsa. James Ladyman. Owen Maroney. Michael Seevink, Mauricio Suarez, Rob Spckkcns and Alastair Rae, amongst others, for stimulatQuantum information theory and the foundations of quantum mechanics
ing conversations on information theory, quantum mechanics and physics.Finally I should like to thank my parents, Mary and Chris Timpson, sine qua nonarXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeA Quantum information theory and the foundations of quantum mechanics hesis was (inally run to ground. (Oh. and she made most of the pictures too!)VAVw.pdfgrip.comContentsIntroductionillIWhat is Information?11Concepts of Information31.1How to talk about information: Some simple ways...................... 31.2The Shannon Information and related concepts................ Quantum information theory and the foundations of quantum mechanics .........10arXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeAarXiv:quant-ph/0412063 vl 8 Dec 2004Quantum Information Theory and The Foundations of Quantum MechanicsChristopher Gordon Timpson The Queen’s CollegeAGọi ngay
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