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of Thesis Submitted for the Degree of Doctor of Philosophy This thesis is a contribution to the debate on the implications of quantum information theory for the foundational problems of quantum 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 everyday notion of… (More)

- C. G. Timpson
- 2003

Recently, Brukner and Zeilinger (2001) have claimed that the Shannon information is not well defined as a measure of information in quantum mechanics, adducing arguments that seek to show that it is inextricably tied to classical notions of measurement. It is shown here that these arguments do not succeed: the Shannon information does not have problematic… (More)

The Bayesian approach to quantummechanics of Caves, Fuchs and Schack is presented. Its conjunction of realism about physics along with antirealism about much of the structure of quantum theory is elaborated; and the position defended from common objections: that it is solipsist; that it is too instrumentalist; that it cannot deal with Wigner’s friend… (More)

2 First steps with quantum information 3 2.1 Bits and qubits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 The no-cloning theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Quantum cryptography . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3.1 Key Distribution . . . . . . . . . . . . . . . . . . . .… (More)

What ontology does realism about the quantum state suggest? The main extant view in contemporary philosophy of physics is wave-function realism. We elaborate the sense in which wave-function realism does provide an ontological picture; and defend it from certain objections that have been raised against it. However, there are good reasons to be dissatisfied… (More)

In a comparison of the principles of special relativity and of quantum mechanics, the former theory is marked by its relative economy and apparent explanatory simplicity. A number of theorists have thus been led to search for a small number of postulates—essentially information theoretic in nature—that would play the role in quantum mechanics that the… (More)

The distinction between proper and improper mixtures is a staple of the discussion of foundational questions in quantum mechanics. Here we note an analogous distinction in the context of the theory of entanglement. The terminology of ‘proper’ versus ‘improper’ separability is proposed to mark the distinction. 1 Proper and Improper mixtures In many… (More)

- C G Timpson
- 2003

Deutsch and Hayden claim to have provided an account of quantum mechanics which is particularly local, and which clarifies the nature of information transmission in entangled quantum systems. In this paper, a perspicuous description of their formalism is offered and their claim assessed. It proves essential to distinguish, as Deutsch and Hayden do not,… (More)

Whilst a straightforward consequence of the formalism of non-relativistic quantum mechanics, the phenomenon of quantum teleportation has given rise to considerable puzzlement. In this paper, the teleportation protocol is reviewed and these puzzles dispelled. It is suggested that they arise from two primary sources: (1) the familiar error of hypostatizing an… (More)

- C. G. Timpson
- 2003

Recently, Brukner and Zeilinger have presented a number of arguments suggesting that the Shannon information is not well defined as a measure of information in quantum mechanics. If established, this result would be highly significant, as the Shannon information is fundamental to the way we think about information not only in classical but also in quantum… (More)