Quantum Information V: Proceedings Of The Fifth International Conference

Quantum Information V Edited by T. Hida K. Saito A i^ ^ ; .• : ' ] i 1 I World Scientific Quantum Information V This page is intentionally left blank Proceedings of the Fifth International Conference Quantum Information V Meijo University, Japan 17 - 19 December 2001 Edited by T. Hida & K. Saito Meijo University Japan \jjp World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • H O N G K O N G • TAIPEI • CHENNAI Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. QUANTUM INFORMATION V Proceedings of the Fifth Conference Copyright © 2006 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN 981-238-585-1 Printed in Singapore by World Scientific Printers (S) Pte Ltd PREFACE The Fifth International Conference on Quantum Information was held at Meijo University in Nagoya, Japan, December 17-19, 2001. The conference covered the following topics: (1 Classical and Quantum Information Theory (2: Quantum Communication Gate on Fock Space (3 Quantum Teleportation, Process of Recognition (4: White Noise Theory (5 Infinite Dimensional Stochastic Analysis Interacting Fock Space obtained from Graphs (7; Financial Mathematics (8 Nonlinear Diffusion Equations This volume contains the papers of invited lectures and contributed talks at this conference. All papers to the volume have been refereed. The editors are grateful to the referees for their efficient help. This conference was supported by the Research Project "Quantum Information Theoretical Approach to Life Science" for the Academic Frontier in Science promoted by the Ministry of Education in Japan and was also supported by Meijo University. We would like to express our sincere thanks to the Faculty of Science and Technology of Meijo University for their assistance during the conference. Last not least we express our deep appreciation to World Scientific Publishers, in particular Ms E. H. Chionh as their acting representative for a remarkably pleasant coorperation. December 30, 2002 Takeyuki Hida Kimiaki Saito Meijo University This page is intentionally left blank CONTENTS Recognition and Teleportation M. Ohya, K.-H. Fichtner and W. Freudenberg 1 Quantum Information and Spacetime Structure I. V. Volovich 19 On Gaussian and Poisson White Noises N. Asai 35 Renormalization, Orthogonalization, and Generating Functions N. Asai, I. Kubo and H.-H. Kuo 49 Insider Trading in Continuous Time E. Barucci, R. Monte and B. Trivellato 57 Existence, Uniqueness, Consistency and Dependency on Diffusion C