Quantum Information Processing with Finite Resources

Name: Quantum Information Processing with Finite Resources
Brand: Springer International Publishing AG
SKU: 9783319218908
Price: 387.09 RON
Availability: InStock

Mathematical Foundations

Autor: Marco Tomamichel

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Editura: Springer International Publishing AG

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

Informații despre carte

Autor

Marco Tomamichel

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2015

Pagini

138

EAN

9783319218908

ISBN

3319218905

Enbook ID

09378340

Editura

Springer International Publishing AG

Greutate

238

Dimensiuni

155 x 235 x 7

Descriere completă

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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