Quantum Information Processing with Finite Resources Mathematical Fo
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 m
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Marco Tomamichel
Quantum Information Processing with Finite Resources Mathematical Foundations 123
SpringerBriefs in Mathematical Physics Volume 5
Series editors Nathanaël Berestycki, Cambridge, UK Mihalis Dafermos, Cambridge, UK Tohru Eguchi, Tokyo, Japan Atsuo Kuniba, Tokyo, Japan Matilde Marcolli, Pasadena, USA Bruno Nachtergaele, Davis, USA
More information about this series at http://www.springer.com/series/11953
Marco Tomamichel
Quantum Information Processing with Finite Resources Mathematical Foundations
123
Marco Tomamichel School of Physics The University of Sydney Sydney Australia
ISSN 2197-1757 ISSN 2197-1765 (electronic) SpringerBriefs in Mathematical Physics ISBN 978-3-319-21890-8 ISBN 978-3-319-21891-5 (eBook) DOI 10.1007/978-3-319-21891-5 Library of Congress Control Number: 2015950017 Springer Cham Heidelberg New York Dordrecht London © The Author(s) 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Acknowledgments
I was introduced to quantum information theory during my PhD studies in Renato Renner’s group at ETH Zurich. It is from him that I learned most of what I know about quantum cryptography and smooth entropies. Renato also got me interested more generally in finite resource information theory as well as the entropies and other information measures that come along with it. He shaped my views on the topic and gave me all the tools I needed to follow my own ideas, and I am immensely grateful for that. A particular question that grew out of my PhD studies was whether one can understand smooth entropies in a broader framework of quantum Rényi entropies. This book now accomplishes this. Joining Stephanie Wehner’s group at the Centre for Quantum Technologies in Singapore for my postdoctoral studies was probably the best thing I could have done. I profited tremendously from interactions with Stephanie and her g
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