Marco Tomamichel

(Author)

Quantum Information Processing with Finite Resources: Mathematical Foundations (2016)Paperback - 2016, 23 October 2015

Quantum Information Processing with Finite Resources: Mathematical Foundations (2016)
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Part of Series
Springerbriefs in Mathematical Physics
Part of Series
Springerbriefs in Physics
Print Length
138 pages
Language
English
Publisher
Springer
Date Published
23 Oct 2015
ISBN-10
3319218905
ISBN-13
9783319218908

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 information theory 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.

Product Details

Author:
Marco Tomamichel
Book Edition:
2016
Book Format:
Paperback
Country of Origin:
NL
Date Published:
23 October 2015
Dimensions:
23.39 x 15.6 x 0.81 cm
ISBN-10:
3319218905
ISBN-13:
9783319218908
Language:
English
Location:
Cham
Pages:
138
Publisher:
Weight:
217.72 gm

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