Quantum Probability And Related Topics: Qp-pq (Volume Ix) PDF Download
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Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9814501301
Category : Mathematics
Languages : en
Pages : 427
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Book Description
Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9814501301
Category : Mathematics
Languages : en
Pages : 427
Get Book Here
Book Description
Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 981450615X
Category : Mathematics
Languages : en
Pages : 544
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Book Description
This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based on the notion of free independence rather than the usual Boson or Fermion independence is discussed. A surprising result is that the role of the Gaussian for this new type of independence is played by the Wigner distribution. This motivated the introduction of new type of quantum independent increments noise, the free noise and the corresponding stochastic calculus. A further generalization, the ϖ-noises, is discussed. The free stochastic calculus is shown to be able to fit naturally into the general representation free calculus. The basic free are shown to be realized as non-adapted stochastic integrals with respect to the usual Boson white noises. Quantum noise on the finite difference algebra is expressed in terms of the usual Boson white noises. A new quantum way of looking at classical stochastic flows, in particular diffusions on Riemannian Manifolds is explained. Quantum groups are discussed from the point of view of possible applications to quantum probability. The applications of quantum probability to physics are surveyed.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9814505455
Category : Mathematics
Languages : en
Pages : 394
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Book Description
Quantum Probability and Related Topics is a series of volumes based on materials discussed in the various QP conferences. It aims at providing an update on the rapidly growing field of classical probability, quantum physics and functional analysis.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9789810220471
Category : Mathematics
Languages : en
Pages : 426
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Book Description
Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.
Author: Roberto Quezada
Publisher: World Scientific
ISBN: 9814469769
Category : Mathematics
Languages : en
Pages : 288
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Book Description
This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed 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, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies.
Author: J. C. Garc¡a
Publisher: World Scientific
ISBN: 9812835261
Category : Mathematics
Languages : en
Pages : 288
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Book Description
"This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed 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, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies."--BOOK JACKET.
Author: J Martin Lindsay
Publisher: World Scientific
ISBN: 9814485594
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will be engaged, informed and inspired by the contents of these two volumes. An extensive bibliography containing the references from all the lectures is included in Volume 12.
Author: Wolfgang Freudenberg
Publisher: World Scientific
ISBN: 9814486566
Category : Mathematics
Languages : en
Pages : 277
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Book Description
This volume consists of 18 research papers reflecting the impressive progress made in the field. It includes new results on quantum stochastic integration, quantum Markov processes, the stochastic limit, quantum teleportation and other areas.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9812774491
Category : Computers
Languages : en
Pages : 398
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Book Description
The main purpose of this volume is to emphasize the multidisciplinary aspects of this very active new line of research in which concrete technological and industrial realizations require the combined efforts of experimental and theoretical physicists, mathematicians and engineers. Contents: Coherent Quantum Control of o-Atoms through the Stochastic Limit (L Accardi et al.); Recent Advances in Quantum White Noise Calculus (L Accardi & A Boukas); Joint Extension of States of Fermion Subsystems (H Araki); Fidelity of Quantum Teleportation Model Using Beam Splittings (K-H Fichtner et al.); Quantum Logical Gates Realized by Beam Splittings (W Freudenberg et al.); Noncanonical Representations of a Multi-dimensional Brownian Motion (Y Hibino); Information, Innovation and Elemental Random Field (T Hida); Generalized Sectors and Adjunctions to Control MicroOCoMacro Transitions (I Ojima); Saturation of an Entropy Bound and Quantum Markov States (D Petz); An Infinite Dimensional Laplacian Acting on Some Class of L(r)vy White Noise Functionals (K Sait); Structure of Linear Processes (S Si & W W Htay); Group Theory of Dynamical Maps (E C G Sudarshan); Quantum Entanglement, Purification, and Linear-optics Quantum Gates with Photonic Qubits (P Walther & A Zeilinger); On Quantum Mutual Type Measures and Capacity (N Watanabe); and other papers. Readership: Researchers in quantum physics and theoretical physics."
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9812793178
Category : Science
Languages : en
Pages : 469
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Book Description
The purpose of this volume is examine bio-informatics and quantum information, which are growing rapidly at present, and to attempt to connect the two, with a view to enumerating and solving the many fundamental problems they entail. To this end, we look for interdisciplinary bridges in mathematics, physics, and information and life sciences. In particular, research into a new paradigm for information science and life science on the basis of quantum theory is emphasized. Sample Chapter(s). Markov Fields on Graphs (599 KB). Contents: Markov Fields on Graphs (L Accardi & H Ohno); Some Aspects of Time Operators (A Arai); Time Optimal Quantum Control of Mixed States (A Carlini et al.); On a Quantum Model of the Recognition Process (K-H Fichtner et al.); Perspectives of White Noise Analysis (T Hida); Review on Quantum Chaos Algorithm and Generalized Quantum Turing Machine (S Iriyama & M Ohya); Cauchy Problems for Some Biological Systems OCo Modelling by Stochastic Differential Equations (A Jamiolkowski); On Non-Markovian Time Evolution in Open Quantum Systems (A Kossakowski & R Rebolledo); Adaptive Dynamics and Its Applications to Chaos and NPC Problem (M Ohya); Micro-Macro Duality and Emergence of Macroscopic Levels (I Ojima); Josephson Flux Qubit (H Takayanagi); Note on Quantum Mutual Entropy Type Measures (N Watanabe); Toward in Silico Biology (From Sequence to Systems) (I Yamato et al.); and other papers. Readership: Physicists, researchers in quantum information and bioinformatics.
