Fokusthemen
Publikationen
Services
Autorinnen/Autoren
Verlag
Shop
LEXIA
Zeitschriften
SachbuchLOKISemaphor
Osteraktion: Bis zum 30.4.2025 von 20% Rabatt auf folgende Produkte profitieren. Code: NEST25
Quantum Information Processing with Finite Resources

Quantum Information Processing with Finite Resources

Mathematical Foundations

Inhalt

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.

Bibliografische Angaben

Oktober 2015, 138 Seiten, SpringerBriefs in Mathematical Physics, Englisch
Springer Nature EN
978-3-319-21890-8

Inhaltsverzeichnis

Schlagworte

Weitere Titel der Reihe: SpringerBriefs in Mathematical Physics

Alle anzeigen

Weitere Titel zum Thema