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Quantum Probability And Applications Iv


Quantum Probability And Applications Iv
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Quantum Probability And Applications Iv


Quantum Probability And Applications Iv
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Author : Luigi Accardi
language : en
Publisher: Springer
Release Date : 2006-11-14

Quantum Probability And Applications Iv written by Luigi Accardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allowed several open problems to be solved and several inexpected connections to be revealed.



Quantum Probability And Applications Iv


Quantum Probability And Applications Iv
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Author : Luigi Accardi
language : en
Publisher:
Release Date : 2014-01-15

Quantum Probability And Applications Iv written by Luigi Accardi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Quantum Probability Related Topics


Quantum Probability Related Topics
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1992

Quantum Probability Related Topics written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.


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.



Lie Algebras Cohomology And New Applications To Quantum Mechanics


Lie Algebras Cohomology And New Applications To Quantum Mechanics
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Author : Niky Kamran
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Lie Algebras Cohomology And New Applications To Quantum Mechanics written by Niky Kamran and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.



Selected Papers Of M Ohya


Selected Papers Of M Ohya
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Author : Masanori Ohya
language : en
Publisher: World Scientific
Release Date : 2008

Selected Papers Of M Ohya written by Masanori Ohya and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.


This volume is a collection of articles written by Professor M Ohya over the past three decades in the areas of quantum teleportation, quantum information theory, quantum computer, etc. By compiling Ohya''s important works in these areas, the book serves as a useful reference for researchers who are working in these fields. Sample Chapter(s). Introduction (109 KB). Chapter 1: Adaptive Dynamics and Its Applications To Chaos and Npc Problem (1,633 KB). Contents: Adaptive Dynamics and Its Applications; A Stochastic Limit Approach to the SAT Problem; Quantum Algorithm for SAT Problem and Quantum Mutual Entropy; NP Problem in Quantum Algorithm; New Quantum Algorithm for Studying NP-complete Problems; Quantum Teleportation and Beam Splitting; Entanglement, Quantum Entropy and Mutual Information; Quantum Dynamical Entropy for Completely Positive Maps; On Capacities of Quantum Channels; Compound Channels, Transition Expectations, and Liftings; Information Dynamics and Its Application to Optical Communication Processes; Complexity and Fractal Dimension for Quantum States; Information Theoretical Treatment of Genes; Some Aspects of Quantum Information Theory and Their Applications to Irreversible Processes; On Compound State and Mutual Information in Quantum Information Theory; Quantum Ergodic Channels in Operator Algebras; and others papers. Readership: Researchers in quantum entropy, quantum information theory and mathematical physics.



Quantum Probability And Related Topics Qp Pq Volume Vii


Quantum Probability And Related Topics Qp Pq Volume Vii
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1992-07-17

Quantum Probability And Related Topics Qp Pq Volume Vii written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-17 with Mathematics categories.


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.



Quantum And Stochastic Mathematical Physics


Quantum And Stochastic Mathematical Physics
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Author : Astrid Hilbert
language : en
Publisher: Springer Nature
Release Date : 2023-04-02

Quantum And Stochastic Mathematical Physics written by Astrid Hilbert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-02 with Mathematics categories.


Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.



Quantum Trajectories And Measurements In Continuous Time


Quantum Trajectories And Measurements In Continuous Time
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Author : Alberto Barchielli
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-21

Quantum Trajectories And Measurements In Continuous Time written by Alberto Barchielli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-21 with Language Arts & Disciplines categories.


This course-based monograph introduces the reader to the theory of continuous measurements in quantum mechanics and provides some benchmark applications. The approach chosen, quantum trajectory theory, is based on the stochastic Schrödinger and master equations, which determine the evolution of the a-posteriori state of a continuously observed quantum system and give the distribution of the measurement output. The present introduction is restricted to finite-dimensional quantum systems and diffusive outputs. Two appendices introduce the tools of probability theory and quantum measurement theory which are needed for the theoretical developments in the first part of the book. First, the basic equations of quantum trajectory theory are introduced, with all their mathematical properties, starting from the existence and uniqueness of their solutions. This makes the text also suitable for other applications of the same stochastic differential equations in different fields such as simulations of master equations or dynamical reduction theories. In the next step the equivalence between the stochastic approach and the theory of continuous measurements is demonstrated. To conclude the theoretical exposition, the properties of the output of the continuous measurement are analyzed in detail. This is a stochastic process with its own distribution, and the reader will learn how to compute physical quantities such as its moments and its spectrum. In particular this last concept is introduced with clear and explicit reference to the measurement process. The two-level atom is used as the basic prototype to illustrate the theory in a concrete application. Quantum phenomena appearing in the spectrum of the fluorescence light, such as Mollow’s triplet structure, squeezing of the fluorescence light, and the linewidth narrowing, are presented. Last but not least, the theory of quantum continuous measurements is the natural starting point to develop a feedback control theory in continuous time for quantum systems. The two-level atom is again used to introduce and study an example of feedback based on the observed output.



Quantum Probability And Related Topics Qp Pq Volume Vi


Quantum Probability And Related Topics Qp Pq Volume Vi
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 1991-10-31

Quantum Probability And Related Topics Qp Pq Volume Vi written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with Mathematics categories.


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.



Probability Towards 2000


Probability Towards 2000
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Author : L. Accardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Probability Towards 2000 written by L. Accardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Senior probabilists from around the world with widely differing specialities gave their visions of the state of their specialty, why they think it is important, and how they think it will develop in the new millenium. The volume includes papers given at a symposium at Columbia University in 1995, but papers from others not at the meeting were added to broaden the coverage of areas. All papers were refereed.