图书简介
This volume aims to return to the starting point of the fields of infinite dimensional analysis and quantum probability, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics including classical probability and to different branches of physics, in particular, research for new paradigms for information science on the basis of quantum theory.Key Features: This proceeding looks for interdisciplinary bridges in mathematics and physics, in particular, quantum probability and infinite dimensional analysisIt contains several research for quantum probability and infinite dimensional analysis on the basis of quantum theoryThe contributions by experts in the field represent new results in the fields of quantum probability and infinite dimensional analysis and related topics
Preface; Biography: Takeyuki Hida; Biography: Luigi Accardi; Biography: Igor Volovich; Notions of Quantum Independence Naturally Arising from Classical Probability (Luigi Accardi and Yun Gang Lu); Covariant Quantum Fields via Lorentz Group Representation of Weyl Operators (Radhakrishnan Balu); Lévy Processes on the Lorentz-Lie Algebra (Ameur Dhahri and Uwe Franz); Basins of Attraction of Invariant States of a Quantum Markov Semigroup (F Fagnola, E Sasso and V Umanita); Bi-monotone Brownian Motion (Malte Gerhold); Complex Structures on Three-point Space (Suvrajit Bhattacharjee and Debashish Goswami); Uncertainty Relations and Information Loss for Spin-1/2 Measurements (Alberto Barchielli and Matteo Gregoratti); A Combined Quantum Algorithm and Its Computational Complexity (Satoshi Iriyama); On Effective Methods of Investigation of Nonpositive Maps (Andrzej Jamiołkowski); Quantum-like Modeling of the Order Effect in Decision Making: POVM Viewpoint on the Wang-Busemeyer QQ-equality (A Lebedev and A Khrennikov); Entanglement and its Conditionality (Takashi Matsuoka); Stability and Perturbations of C0-Markov Semigroups on Abstract States Spaces (Nazife Erkurun Özcan and Farrukh Mukhamedov); Decoherence in an Excitation Energy Transport Model (J Agredo, J C Garcia-Corte and R Quezada); Powers of White Noise Associated with the Product of Distributions (Shinya Hibino and Kimiaki Saito); Interaction Independent Quantum Probing (Gniewomir Sarbicki, Mikko Tukiainen, Henry Lyyra and Sabrina Maniscalco); Rough-paths and Non-commutative Probability (Ren Schott); A Quick View on Professor Takeyuki Hida’s Work (Si Si); Representing the Quantum Operators in Terms of Multiplication and Differentiation Operators (Gabriela Popa and Aurel I Stan); Holographic Photosynthesis and Entanglement Entropy (Irina Aref’eva and Igor Volovich); Note on Complexity of Communication Processes (Noboru Watanabe); Conditional Distribution of a Random Variable, Conditioned by Hida Distributions, on Euclidean Quantum Fields (M W Yoshida);
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