Quantum Walks and Search Algorithms
This book addresses an interesting area of quantum computation called quantum walks, which play an important role in building quantum algorithms, in particular search algorithms. Quantum walks are the quantum analogue of classical random walks.It is known
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Series Editors Howard Brandt, US Army Research Laboratory, Adelphi, MD, USA Nicolas Gisin, University of Geneva, Geneva, Switzerland Raymond Laflamme, University of Waterloo, Waterloo, Canada Gaby Lenhart, ETSI, Sophia-Antipolis, France Daniel Lidar, University of Southern California, Los Angeles, CA, USA Gerard Milburn, University of Queensland, St. Lucia, Australia Masanori Ohya, Tokyo University of Science, Tokyo, Japan Arno Rauschenbeutel, Vienna University of Technology, Vienna, Austria Renato Renner, ETH Zurich, Zurich, Switzerland Maximilian Schlosshauer, University of Portland, Portland, OR, USA Howard Wiseman, Griffith University, Brisbane, Australia
For further volumes: http://www.springer.com/series/10039
Quantum Science and Technology 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.
Renato Portugal
Quantum Walks and Search Algorithms
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Renato Portugal Department of Computer Science National Laboratory of Scientific Computing (LNCC) Petr´opolis, RJ, Brazil
ISBN 978-1-4614-6335-1 ISBN 978-1-4614-6336-8 (eBook) DOI 10.1007/978-1-4614-6336-8 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013930230 © Springer Science+Business Media New York 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and execute
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