Description: Quantum Information Processing With Finite Resources : Mathematical Foundations, Paperback by Tomamichel, Marco, ISBN 3319218905, ISBN-13 9783319218908, Brand New, Free shipping in the US 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. Th 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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Book Title: Quantum Information Processing With Finite Resources : Mathematic
Number of Pages: IX, 138 Pages
Publication Name: Quantum Information Processing with Finite Resources : Mathematical Foundations
Language: English
Publisher: Springer International Publishing A&G
Subject: Physics / Quantum Theory, Databases / General
Publication Year: 2015
Item Weight: 16 Oz
Type: Textbook
Author: Marco Tomamichel
Item Length: 9.3 in
Subject Area: Computers, Science
Series: Springerbriefs in Mathematical Physics Ser.
Item Width: 6.1 in
Format: Trade Paperback