Over the last decade the theory of quantum information has developed into an important and active research area in mathematics, physics and other fields of science. It has established a link among those fields.This volume covers the following topics: Quantum Computation, NP-Complete Problem, Quantum Communication, Quantum Stochastic Processes, Quantum Field Theory, Classical and Quantum White Noise Analysis, Infinite Dimensional Stochastic Analysis, Gaussian Random Fields, Probabilistic Control in Microorganisms, Complexity in Nature, etc.Contents: A Generalization of Grover's Algorithm (L Accardi & R Sabbadini)Characterization of Product Measures by an Integrability Condition (N Asai)Tunneling Effect Based on the Nelson's Quantum Stochastic Process Approach — Comparison with a Neutron Spin Echo Experiment (T Hashimoto & T Tomomura)Gibbs State, Quadratic Embedding, and Central Limit Theorem on Large Graphs (A Hora)Algebraic Stochastic Differential Equations and a Fubini Theorem for Symmetrised 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 Lévy Laplacian (K Nishi et al.)Quantum Logical Gate Based on Electron Spin Resonance (M Ohya et al.)and other papersReadership: Pure and applied probabilists, functional analysts, mathematical and theoretical physicists, and mathematical biologists.Key Features:The first book of its kind to explain to lay persons, Muslims and non-Muslims, the mystique surrounding Islamic banking and financeDepicts clearly how the market has developed in South-East AsiaProvides a timely survey of Islamic banking in five South-East Asian countries