Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems.It includes introductory material on algorithm, functional analysi
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Theoretical and Mathematical Physics The series founded in 1975 and formerly (until 2005) entitled Texts and Monographs in Physics (TMP) publishes high-level monographs in theoretical and mathematical physics. The change of title to Theoretical and Mathematical Physics (TMP) signals that the series is a suitable publication platform for both the mathematical and the theoretical physicist. The wider scope of the series is reflected by the composition of the editorial board, comprising both physicists and mathematicians. The books, written in a didactic style and containing a certain amount of elementary background material, bridge the gap between advanced textbooks and research monographs. They can thus serve as basis for advanced studies, not only for lectures and seminars at graduate level, but also for scientists entering a field of research.
Editorial Board W. Beiglboeck, Institute of Applied Mathematics, University of Heidelberg, Heidelberg, Germany P. Chrusciel, University of Vienna, Vienna, Austria J.-P. Eckmann, Département de Physique Théorique, Université de Genève, Geneva, Switzerland H. Grosse, Institute of Theoretical Physics, University of Vienna, Vienna, Austria A. Kupiainen, Department of Mathematics, University of Helsinki, Helsinki, Finland M. Loss, School of Mathematics, Georgia Institute of Technology, Atlanta, USA H. Löwen, Institute of Theoretical Physics, Heinrich-Heine-University of Duesseldorf, Duesseldorf, Germany N. Nekrasov, IHÉS, Bures-sur-Yvette, France M. Salmhofer, Institute of Theoretical Physics, University of Heidelberg, Heidelberg, Germany S. Smirnov, Mathematics Section, University of Geneva, Geneva, Switzerland L. Takhtajan, Department of Mathematics, Stony Brook University, Stony Brook, USA J. Yngvason, Institute of Theoretical Physics, University of Vienna, Vienna, Austria
For other titles published in this series, go to http://www.springer.com/series/720
Masanori Ohya Igor Volovich
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
Masanori Ohya Information Sciences Tokyo University of Science Yamazaki 2641 278-8510 Noda Japan [email protected]
Igor Volovich Mathematical Physics Steklov Mathematical Institute Gubkin St 8 119991 Moscow Russia [email protected]
e-ISSN 1864-5887 ISSN 1864-5879 ISBN 978-94-007-0170-0 e-ISBN 978-94-007-0171-7 DOI 10.1007/978-94-007-0171-7 Springer Dordrecht Heidelberg London New York © Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
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