This book is based on material taught to final-year physics undergraduates as part of the theoretical physics option at Imperial College. After a self-contained introduction to the essential ideas of vector spaces and linear operators, a bridge is built between the concepts and mathematics of classical physics, and the new mathematical framework employed in quantum mechanics. The axioms of nonrelativistic quantum theory are introduced, and shown to lead to a variety of new conceptual problems. Subjects discussed include state-vector reduction, the (...) problem of measurement, quantum entanglement, the Kochen-Specker theorem, and the Bell inequalities. The book includes twenty-five problems with worked solutions. (shrink)

First-ever comprehensive introduction to the major new subject of quantum computing and quantum information.

The topic of this book is a comparison between holism in the philosophy and language and social holism on the one hand and holism about space-time and quantum systems on the other hand. The main claim is that holism in the humanities and holism in fundamental physics come under the same substantial, general conception of holism. That is to say: arguments to the effect that the holism of the mental is unscientific or that the mental is separated from the physical (...) owing to holism are not sound. The holism of the mental fits into a world-view that bases itself on scientific realism. The addressees of this book are all those who care about our view of the world and ourselves in the spirit of an argumentative examination of different positions. No familiarity with physics is presupposed. (shrink)

Bohmian trajectories have been used for various purposes, including the numerical simulation of the time-dependent Schr¨ odinger equation and the visualization of time-dependent wave functions. We review the purpose they were invented for: to serve as the foundation of quantum mechanics, i.e., to explain quantum mechanics in terms of a theory that is free of paradoxes and allows an understanding that is as clear as that of classical mechanics. Indeed, they succeed in serving that purpose in the context of a (...) theory known as Bohmian mechanics, to which this article is an introduction. (shrink)

Some recent work in the philosophy of quantum mechanics has suggested that quantum systems can be thought of as non-separable and therefore non-individual, in some sense, in Bell and E.P.R. type situations. This suggestion is set in the context of previous work regarding the individuality of quantal particles and it is argued that such entities can be considered as individuals if their non-classical statistical correlations are understood in terms of non-supervenient relations holding between them. We conclude that such relations are (...) strongly non-supervenient in Cleland's sense and note a possible connection between this idea and the realist quantum logic programme. (shrink)