Bøker i Qp-pq: Quantum Probability And White Noise Analysis-serien

Lectures from the Grenoble Summer School are collected in this volume of the series QP-PQ. All have been refereed by at least one expert and revised, some extensively, for publication. It is hoped that current and future students of quantum probability will be engaged and inspired by this volume.

This volume seeks to return to the starting point of bio-informatics and quantum information, where these fields are constantly engaged in explosive advancements, and to seriously attempt mutual interaction between the two fields, with a view to enumerating and solving the many encountered fundamental problems. For such a purpose, we look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, the research for a new paradigm for information science and life science on the basis of quantum theory.

Contains results in quantum probability and related topics. This book contains papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, and applications of quantum probability in physics.

Contains work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. This book includes tools and techniques that is of interest to research mathematicians, graduate students and applied mathematicians.

Includes the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia.

Contains proceedings that intend to return to the starting point of bio-informatics and quantum information, fields that are growing rapidly, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail.

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.

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