Quantum information theory is at the frontiers of physics, mathematics and information science, offering a variety of solutions that are impossible using classical theory. This book provides an introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. After a gentle introduction to the necessary mathematics the authors describe the geometry of quantum state spaces. Focusing on finite dimensional Hilbert spaces, they discuss the statistical distance measures and entropies used in quantum theory. The final part of the book is devoted to quantum entanglement - a non-intuitive phenomenon discovered by Schrödinger, which has become a key resource for quantum computation. This richly-illustrated book is useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

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An introduction to the key concepts of quantum information processing. The authors cover basic quantum theory, the geometry of quantum state spaces and quantum entanglement, which has become a key resource for quantum computation. This richly-illustrated book is useful to graduates and researchers interested in quantum information theory.

Ingemar Bengtsson is Professor of Physics at Stockholm University. After gaining a Ph.D. in Theoretical Physics from the University of Göteborg (1984), she held post-doctoral positions at CERN, Geneva, and Imperial College, London. She returned to Göteborg in 1988 as a research assistant at Chalmers University of Technnology, before taking up a position as Lecturer in Physics at Stockholm University in 1993. She was appointed Professor of Physics in 2000. Professor Bengtsson is a member of the Swedish Physical Society and a former board member of its Divisions for Particle Physics and for Gravitation. Her favoured research areas are related to geometry, in the forms of general relativity and quantum mechanics.

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