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Introduction to Quantum Information Science$
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Vlatko Vedral

Print publication date: 2006

Print ISBN-13: 9780199215706

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199215706.001.0001

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Classical information

Classical information

Chapter:
(p.3) 1 Classical information
Source:
Introduction to Quantum Information Science
Author(s):

Vlatko Vedral

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199215706.003.0001

This book deals with the basic concept of information, its importance, and the similarities and differences between classical and quantum information. First, classical information theory and its application to communication are discussed. Quantum mechanics and communication based on the laws of quantum mechanics are then considered. Quantum entanglement, a key resource in quantum communication, is analysed both from the fundamental perspective and from the perspective of its information-processing capability. This book also introduces quantum computation (in the context of the search and factorisation algorithms) and the basics of quantum error correction. Throughout this book, the connections between information theory, thermodynamics, and (quantum) physics are emphasised and discussed. Other topics covered in the book are data compression, related measures of information such as relative entropy, joint entropy, conditional entropy, and mutual information, along with the capacity of a noisy channel.

Keywords:   classical information theory, quantum information, quantum mechanics, quantum communication, quantum entanglement, data compression, quantum computation, quantum error correction, thermodynamics, physics

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