Finite and Profinite Quantum Systems
This monograph provides an introduction to finite quantum systems, a field at the interface between quantum information and number theory, with applications in quantum computation and condensed matter physics. The first major part of this monograph studie
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Apostolos Vourdas
Finite and Profinite Quantum Systems
Quantum Science and Technology Series editors Nicolas Gisin, Geneva, Switzerland Raymond Laflamme, Waterloo, Canada Gaby Lenhart, Sophia Antipolis, France Daniel Lidar, Los Angeles, USA Gerard J. Milburn, St Lucia, Australia Arno Rauschenbeutel, Vienna, Austria Renato Renner, Zürich, Switzerland Maximilian Schlosshauer, Portland, USA Yaakov S. Weinstein, Princeton, USA H.M. Wiseman, Brisbane, Australia
Aims and Scope The book series Quantum Science and Technology is dedicated to one of today’s most active and rapidly expanding fields of research and development. In particular, the series will be a showcase for the growing number of experimental implementations and practical applications of quantum systems. These will include, but are not restricted to: quantum information processing, quantum computing, and quantum simulation; quantum communication and quantum cryptography; entanglement and other quantum resources; quantum interfaces and hybrid quantum systems; quantum memories and quantum repeaters; measurement-based quantum control and quantum feedback; quantum nanomechanics, quantum optomechanics and quantum transducers; quantum sensing and quantum metrology; as well as quantum effects in biology. Last but not least, the series will include books on the theoretical and mathematical questions relevant to designing and understanding these systems and devices, as well as foundational issues concerning the quantum phenomena themselves. Written and edited by leading experts, the treatments will be designed for graduate students and other researchers already working in, or intending to enter the field of quantum science and technology.
More information about this series at http://www.springer.com/series/10039
Apostolos Vourdas
Finite and Profinite Quantum Systems
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Apostolos Vourdas Department of Computer Science University of Bradford Bradford UK
ISSN 2364-9054 ISSN 2364-9062 (electronic) Quantum Science and Technology ISBN 978-3-319-59494-1 ISBN 978-3-319-59495-8 (eBook) DOI 10.1007/978-3-319-59495-8 Library of Congress Control Number: 2017944304 © Springer International Publishing AG 2017 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 a
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