Quantum Information Processing with Finite Resources

Mathematical Foundations

By:

Marco Tomamichel

Format:

Paperback / softback

Series:

Springerbriefs in Mathematical Physics

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Description

This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible. A strong emphasis is given to information measures that are essential for the study of devices of finite size, including Rényi entropies and smooth entropies. The presentation is self-contained and includes rigorous and concise proofs of the most important properties of these measures. The first chapters will introduce the formalism of quantum mechanics, with particular emphasis on norms and metrics for quantum states. This is necessary to explore quantum generalizations of Rényi divergence and conditional entropy, information measures that lie at the core of information theory. The smooth entropy framework is discussed next and provides a natural means to lift many arguments from informationtheory to the quantum setting. Finally selected applications of the theory to statistics and cryptography are discussed. The book is aimed at graduate students in Physics and Information Theory. Mathematical fluency is necessary, but no prior knowledge of quantum theory is required.

Release date NZ

October 23rd, 2015

Author

Marco Tomamichel

Series

Springerbriefs in Mathematical Physics

Pages

138

Edition

1st ed. 2016

Audience

Professional & Vocational

Illustrations

4 Illustrations, color; IX, 138 p. 4 illus. in color.

Dimensions

155x235x8

ISBN-13

9783319218908

Product ID

23155701

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