Overview

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to researchers.Contents: Central Extension of Virasoro Type Subalgebras of the Zamolodchikov–w∞ Lie Algebra (L Accardi and A Boukas) Entanglement Protection and Generation Under Continuous Monitoring (A Barchielli and M Gregoratti) Completely Positive Transformations of Quantum Operations (G Chiribella, A Toigo and V Umanità) Invariant Operators in Schrödinger Setting (V K Dobrev) Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems (F Fagnola and L Pantaleón Martínez) Quantum Observables on a Completely Simple Semigroup (Ph. Feinsilver) A Mathematical Treatment for the Contextual Dependent Bio-Systems (T Hara and M Ohya) On the Spectral Gap of the N-Photon Absorption-Emission Process (R Hermida and R Quezada) Some Recent Topics on White Noise Theory (T Hida and Si Si) Quantum Lévy Area as Quantum Martingale Limit (R L Hudson) On Computational Complexity of Quantum Algorithm for Factoring (S Iriyama, M Ohya and I V Volovich) Prequantum Classical Statistical Field Theory: Derivation of Gaussianity of Probability Distributions (A Khrennikov) A Survey on Extensions of Hilbert C *-Modules (B Kolarec) An Isometry Formula for a New Stochastic Integral (H-H Kuo, A Sae-Tang and B Szozda) Infinite Dimensional Laplacians Associated with Derivatives of White Noise (K Saitô) A New Noise Depending on a Space Parameter and Its Transformations (Si Si) Note on Complexities for Gaussian Communication Processes (N Watanabe) Readership: Researchers in stochastic analysis, quantum probability, quantum information, mathematical modeling, and probability and statistics.

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