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Quantum information processing with finite resources[electronic resource] :mathematical foundations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	530.12
書名/作者:	Quantum information processing with finite resources : mathematical foundations // by Marco Tomamichel.
作者:	Tomamichel, Marco.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	ix, 138 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Quantum theory.
標題:	Physics.
標題:	Quantum Physics.
標題:	Quantum Computing.
標題:	Data Structures, Cryptology and Information Theory.
標題:	Quantum Information Technology, Spintronics.
ISBN:	9783319218915
ISBN:	9783319218908
摘要、提要註:	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 Renyi 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 Renyi 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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21891-5

Quantum information processing with finite resources[electronic resource] :mathematical foundations /
Tomamichel, Marco.

Quantum information processing with finite resourcesmathematical foundations /[electronic resource] :by Marco Tomamichel. - Cham :Springer International Publishing :2016. - ix, 138 p. :ill., digital ;24 cm. - SpringerBriefs in mathematical physics,v.52197-1757 ;. - SpringerBriefs in mathematical physics ;v.1..

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 Renyi 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 Renyi 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.

ISBN: 9783319218915

Standard No.: 10.1007/978-3-319-21891-5doiSubjects--Topical Terms:

183621
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

Quantum information processing with finite resources[electronic resource] :mathematical foundations /
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