Differential Geometrical Aspects Of Quantum State Estimation And Relative Entropy PDF Download

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Quantum Information

Quantum Information
Author: Masahito Hayashi
Publisher: Springer Science & Business Media
Total Pages: 430
Release: 2006-04-20
Genre: Science
ISBN: 3540302654

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This graduate-level textbook provides a unified viewpoint of quantum information theory that merges key topics from both the information-theoretic and quantum- mechanical viewpoints. The text provides a unified viewpoint of quantum information theory and lucid explanations of those basic results, so that the reader fundamentally grasps advances and challenges. This unified approach makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction), and quantum encryption.


Quantum Communication, Computing, and Measurement 2

Quantum Communication, Computing, and Measurement 2
Author: Prem Kumar
Publisher: Springer Science & Business Media
Total Pages: 527
Release: 2007-05-08
Genre: Science
ISBN: 0306470977

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Based on the Fourth International Conference on Quantum Communication, Measurement and Computing, this volume brings together scientists working in the interdisciplinary fields of quantum communication science and technology. Topics include quantum information theory, quantum computing, stochastic processes and filtering, and quantum measurement theory


Quantum Information Theory

Quantum Information Theory
Author: Masahito Hayashi
Publisher: Springer
Total Pages: 672
Release: 2016-11-03
Genre: Computers
ISBN: 3662497255

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This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions.


Quantum Communications and Measurement

Quantum Communications and Measurement
Author: V.P. Belavkin
Publisher: Springer Science & Business Media
Total Pages: 510
Release: 2013-06-29
Genre: Science
ISBN: 1489913912

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The International Workshop on Quantum Communications and Measurement was held at the University of Nottingham from July 10-16, 1994. It followed the successful meeting on Quantum Aspects of Optical Communications in Paris in November 1990. This time the conference was devoted to mathematical, physical and engineering aspects of quantum noise, signal processing and quantum informa tion in open systems, quantum channels, and optical communications. It brought research workers in the experimental and engineering aspects of quantum optics and communication systems into contact with theoreticians working in quantum probability and measurement theory. The workshop was attended by more than 130 participants from 22 different countries. The largest groups [after the UK (31)] were from Japan (19) and from Russia (14). The subjects discussed included the mathematical foundations of quantum communication systems, experiments and devices, the problem of collapse and continuous measurement, quantum input and output processes, causality and nondemolition observation, squeezed states, quan tum jumps, state diffusion and spontaneous localization, filtering and control in quantum systems, and new quantum optical phenomena and effects, including non classical light. These new mathematical and physical ideas were stimulated by recent advances in generation and detection of light with low quantum noise and the development of techniques for trapping a single atom over an extended period of time, making it possible to observe individual quantum phenomena at the macroscopic level.


Geometry In Present Day Science - Proceedings Of The Conference

Geometry In Present Day Science - Proceedings Of The Conference
Author: Barndorff-nielsen Ole E
Publisher: World Scientific
Total Pages: 216
Release: 1999-03-26
Genre:
ISBN: 9814544191

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This proceedings volume focusses on the applications of geometry in present day science. It contains contributions from a variety of fields, including biology, computer science, mathematics, medicine, physics and stochastics.


Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Total Pages: 595
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401512884

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This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.


Asymptotic Theory Of Quantum Statistical Inference: Selected Papers

Asymptotic Theory Of Quantum Statistical Inference: Selected Papers
Author: Masahito Hayashi
Publisher: World Scientific
Total Pages: 553
Release: 2005-02-21
Genre: Science
ISBN: 981448198X

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Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference.


Methods of Information Geometry

Methods of Information Geometry
Author: Shun-ichi Amari
Publisher: American Mathematical Soc.
Total Pages: 220
Release: 2000
Genre: Computers
ISBN: 9780821843024

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Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical foundation of information geometry. It provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, and convex analysis.


Disordered and Complex Systems

Disordered and Complex Systems
Author: Peter Sollich
Publisher: American Institute of Physics
Total Pages: 352
Release: 2001-03
Genre: Business & Economics
ISBN:

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Casting a wide meaning for the terms disorder and complexity in order to gather researchers from many disciplines, the meeting covered glassy systems and neural networks, information geometry, quantum dynamics and quantum chaos, reaction-diffusion equations, and new directions in mathematical finance. The 50 papers include such discussions as the glassy dynamics of a two-dimensional non- disordered spin model, dualistic properties of the manifold of quantum states, applying the statistical mechanics of random matrices to disordered metals, steady states and long-time asymptotics of solutions of Steater's models, and scaling and multiscaling in financial markets. There is no subject index. c. Book News Inc.