ENGLISH

Quantum Information Processing with Finite Resources: Mathematical Foundations

By Marco Tomamichel (auth.)

Book information

Publisher
Springer International Publishing
Year
2016
ISBN
978-3-319-21890-8, 978-3-319-21891-5
DOI
10.1007/978-3-319-21891-5
Language
english
Format
PDF
Filesize
2 MB (2187042 bytes)
Series
SpringerBriefs in Mathematical Physics 5
Edition
1
Pages
IX, 138\146
Time added
2016-03-14 21:35:01
Cryptology and Information Theory; Quantum InformaQuantum Physics; Quantum Computing; Data StructureSpintronics

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.

Similar books