Quantum information and complexity : proceedings of the Meijo Winter School 2003 : Meijo University, Nagoya, Japan, 6-10 January 2003 / editors T. Hida & K. Saitô, Si Si.

"The Winter School and the International Conference on 'Quantum Information and Complexity' was held from 6 to 10 January 2003, at Meijo University, Nagoya"--Page v

Includes bibliographical references.

Print version record.

Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap between quantum information theory and complex systems. Arising from the Meijo Winter School and International Conference, the lecture notes and research papers published in this timely volume will have a significant impact on the future development of the theories of quantum information and complexity. This book will be of interest to mathematicians, physicists, computer scientists as well as electrical engineers working in this field.

Part I. Quantum information, quantum communication and innovation / L. Accardi -- On the quantum Liouville space / I. Antoniou, Z. Suchanecki -- L1-theory for the Kolmogorov operators of stochastic generalized Burgers equations / M. Rockner, Z. Sobol.

Part II. From classical to quantum quadratic cost control / L. Accardi, A. Boukas -- Transcending the limits of turing computability / V.A. Adamyan, C.S. Calude, B.S. Pavlov -- Homogenization of infinite dimensional diffusion processes with periodic drift coefficients / S. Albeverio, M.S. Bernabei, M. Rockner, M.W. Yoshida -- Construction of Dirichlet forms and symmetric Markov semigroups on Z2-graded von Neumann algebras / C. Bahn, C.K. Ko, Y.M. Park -- Gaussian white noise and applications to finance / T.S. Chung, U.C. Ji -- Another nanocanonical representation of a Brownian motion related to singular volterra kernels / Y. Hibino -- Some topics on white noise analysis / T. Hida, Si Si -- An innovation for a Gaussian semimartinagle and the reproducing kernel Hilbert space / M. Hitsuda -- Erroe exponents for discrete-time white Gaussian channels with feedback / S. Ihara, L.G. Xin -- Error probability of the fixed-length source coding / K. Iriyama -- On a design of transition probabilities and estimates of cover times / S. Ikeda, I. Kubo, M. Yamashita -- Recent progress on the white noise approach to the levy Laplacian / H.-H. Kuo -- On reversible computation in asynchronous systems / J. Lee, F. Peper, S. Adachi, S. Mashiko -- A characterization of generalized levy white noise functionals / Y.-J. Lee, H.-H. Shih -- A new measurement of time serial correlations in stock price movements and its application / T. Matsuoka, M. Ohya -- A stochastic Heisenberg inequality / C. Mueller, A. Stan -- An infinite dimensional stochastic process and the levy Laplacian acting on WND-valued functions / K. Nishi, K. Saito -- Foundation of chaos through observation / M. Ohya -- Note on Poisson noise / Si Si -- Foundation of quantum capacity / N. Watanabe -- Note on linear process / Win Win Htay.

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