Quantum Walks and Quantum Cellular Automata

The quantum walk is a generalization of classical random walks. Considerable work has been recently investigated on quantum walks in connection with quantum computing. The walk can be considered as a class of quantum cellular automata. There exists a one-

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Editorial Board David Hutchison Lancaster University, UK Takeo Kanade Carnegie Mellon University, Pittsburgh, PA, USA Josef Kittler University of Surrey, Guildford, UK Jon M. Kleinberg Cornell University, Ithaca, NY, USA Alfred Kobsa University of California, Irvine, CA, USA Friedemann Mattern ETH Zurich, Switzerland John C. Mitchell Stanford University, CA, USA Moni Naor Weizmann Institute of Science, Rehovot, Israel Oscar Nierstrasz University of Bern, Switzerland C. Pandu Rangan Indian Institute of Technology, Madras, India Bernhard Steffen University of Dortmund, Germany Madhu Sudan Massachusetts Institute of Technology, MA, USA Demetri Terzopoulos University of California, Los Angeles, CA, USA Doug Tygar University of California, Berkeley, CA, USA Gerhard Weikum Max-Planck Institute of Computer Science, Saarbruecken, Germany

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Hiroshi Umeo Shin Morishita Katsuhiro Nishinari Toshihiko Komatsuzaki Stefania Bandini (Eds.)

Cellular Automata 8th International Conference on Cellular Automata for Research and Industry, ACRI 2008 Yokohama, Japan, September 23-26, 2008 Proceedings

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Volume Editors Hiroshi Umeo University of Osaka Electro-Communication 572-8530 Neyagawa, Osaka, Japan E-mail: [email protected] Shin Morishita Yokohama National University 240-8501 Yokohama, Japan E-mail: [email protected] Katsuhiro Nishinari University of Tokyo Graduate School of Engineering 113-8656 Tokyo, Japan E-mail: [email protected] Toshihiko Komatsuzaki Kanazawa University 920-1192 Kanazawa, Japan E-mail: [email protected] Stefania Bandini University of Milan–Bicocca 20126 Milano, Italy E-mail: [email protected]

Library of Congress Control Number: 2008932925 CR Subject Classification (1998): F.1.1, F.2.2, I.6, C.2 LNCS Sublibrary: SL 1 – Theoretical Computer Science and General Issues ISSN ISBN-10 ISBN-13

0302-9743 3-540-79991-5 Springer Berlin Heidelberg New York 978-3-540-79991-7 Springer Berlin Heidelberg New York

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 2008 Printed in Germany Typesetting: Camera-ready by author, data conversion by Scientific Publishing Services, Chennai, India Printed on acid-free paper SPIN: 12447084 06/3180 543210

Preface

This volume constitutes the proceedings of the 8th International Conference on Cellular Automata for Research and Industry, ACRI 2008, which took place in Yokohama, Japan, September 23-26, 2008. The conference, whi