Quantum Information Processing with Finite Resources

Name: Quantum Information Processing with Finite Resources
Brand: Springer International Publishing AG
SKU: 9783319218908
Price: 74.07 EUR
Availability: InStock

Mathematical Foundations

Autor: Marco Tomamichel

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer International Publishing AG

Dostupnosť: Skladom u dodávateľa

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74.07 €

This book provides the reader with the mathematical framework required to fully explore the potentia...

Informácie o knihe

Autor

Marco Tomamichel

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2015

Stránok

138

EAN

9783319218908

ISBN

3319218905

Enbook ID

09378340

Vydavateľ

Springer International Publishing AG

Hmotnosť

238

Rozmery

155 x 235 x 7

Kompletný popis

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 investigation 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.§§

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Quantum Information Processing with Finite Resources

Mathematical Foundations

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