This volume constitutes the proceedings of the Second International Conference on Quantum Information, held at Meijo University, Japan, in 1999. Topics addressed include: CKS-space in terms of growth functions; Gaussian processes and Gaussian random fields; and more.
A generalization of Grover's algorithm, L. Accardi and R. Sabbadini characterization of product measures by an integrability condition, N. Asai tunnelling effect based on the Nelson's quantum stochastic process approach - comparison with a neutron spin echo experiment, T. Hasimoto and T. Tomomura Gibbs state, quadratic embedding and central limit theorem on large graphs, A. Hora algebraic stochastic differential equations and a Fubini theorem for symmetrized double quantum stochastic product integrals, R.L. Hudson some properties of a random field derived by variational calculus, K.S. Lee a stochastic expression of a semi-group generated by the Levy Laplacian, K. Nishi et al quantum logical gate based on electron spin resonance, M. Ohya et al. (Part contents).
Some thoughts on the infinite dimensional harmonic analysis, T. Hida and Y.-H. Mimachi a quarter century of white noise theory, H.-H. Kuo the Clark formula of generalized Wiener functionals, Y.-J. Lee and H.-H. Shih a treatment of quantum Baker's map by chaos degree, K. Inoue et al inverse S-transform, Wick product and overcompleteness of exponential vectors, N. Obata a Hausdorff-Young inequality for white noise analysis, H.-H. Kuo et al integral transform and Segal-Bargmann representation associated to q-Charlier polynomials, N. Asai topics on complex Gaussian random fields, S. Si and W.W. Htay quantum information in space and time and theory of stochastic processes, I.V. Volovich notions of independence in algebraic probability theory and set partition statistics, Y. Hashimoto Poisson noise analysis based on the Levy Laplacian, A. Ishikawa et al study on the power of potential fluctuation in living cells, M. Yamanoi some properties of measure-valued processes with singular branching rate, I. Doku. (Part contents)
On Gaussian and Poisson White Noises (N Asai) Renormalization, Orthogonalization, and Generating Functions (I Kubo et al.) Insider Trading in Continuous Time (E Barucci et al.) Existence, Uniqueness, Consistency and Dependency on Diffusion Coefficients of Generalized Solutions of Nonlinear Diffusion Equations in Colombeau's Algebra (H Deguchi) On Mathematical Treatment of Quantum Communication Gate on Fock Space (W Freudenberg et al.) A Frontier of White Noise Analysis (T Hida) An Interacting Fock Space with Periodic Jacobi Parameter Obtained from Regular Graphs in Large Scale Limit (A Hora & N Obata) Error Exponents of Codings for Stationary Gaussian Channels (S Ihara) White Noise Analysis on Classical Wiener Space Revisited (Y-J Lee & H-H Shih) Fractional Brownian Motions and the L vy Laplacian (K Nishi et al.) Recognition and Teleportation (M Ohya) Jump Finding of a Stable Process (Si Si et al.) On Entropy Production of a One-Dimensional Lattice Conductor (S Tasaki) Quantum Information and Spacetime Structure (I V Volovich).
How we, human being, have evolved to such complexity from nothing?, M. Oda why and how physicists are interested in brain and mind?, M. Oda a method for information analysis of sequences by two-dimensional pattern formation with colouration, N. Obata et al teleportation of general quantum states, L. Accardi and M. Ohya on acerain integral formula in stochastic analysis, I. Doku comments on Nelson's quantum stochastic process - tunnelling time and domain structure, T. Hashimoto some of future directions in white noise analysis, T. Hida quantum computer - an overview, A. Hosoya on the computational power of bounded error quantum turing machines, T. Nishino mutual entropy in quantum information and information genetics, M. Ohya the Levy Laplacian as a self-adjoint operator, K. Saito and A.H. Tsoi on variation theory of structures and Kiho's problem, Y. Shikata and M. Tsukamoto topics on random fields, (i Si), extracting order from chaotic world through perceptual grouping processes in human sensory system, N. Sugie models of quantum computers and decoherence problem, I.V. Volovich analysis and control of decoherence in spin system, M. Yamanoi.
Quantum Information, Quantum Communication and Innovation (L Accardi) On the Quantum Liouville Space (I Antoniou & Z Suchanecki) L1-Theory for the Kolmogorov Operators of Stochstic Generalized Burgers Equations (M Rockner & Z Sobol) Homogenization of Infinite Dimensional Diffusion Processes with Periodic Drift Coefficients (S Albeverio et al.) Some Topics on White Noise Analysis (T Hida & Si Si) On a Design of Transition Probabilities and Estimates of Cover Times (S Ikeda et al.) Recent Progress on the White Noise Approach to the Levy Laplacian (H-H Kuo) An Infinite Dimensional Stochastic Process and the Levy Laplacian Acting on WND-Valued Functions (K Nishi & K Saito) Note on Poisson Noise (Si Si) Note on Linear Process (Win Win Htay) and other papers.
This volume is based on the fifth international conference of quantum bio-informatics held at the QBI Center of Tokyo University of Science. This volume provides a platform to connect mathematics, physics, information and life sciences, and in particular, research for new paradigm for information science and life science on the basis of quantum theory. The following topics are discussed: Cryptographic algorithms Quantum algorithm and computation Quantum entanglement Quantum entropy and information dynamics Quantum dynamics and time operator Stochastic dynamics and white noise analysis Brain activity Quantum-like models and PD game Quantum physics and superconductivity Quantum tomography and sufficiency Adaptation in Plants Alignment of sequences Readership: Researchers in quantum information, quantum physics, bio-informatics and life sciences.