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Asymptotic Theory Of Quantum Statistical Inference: Selected Papers

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Release : 2005-02-21
Genre : Science
Kind : eBook
Book Rating : 98X/5 ( reviews)

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Book Synopsis Asymptotic Theory Of Quantum Statistical Inference: Selected Papers by : Masahito Hayashi

Download or read book Asymptotic Theory Of Quantum Statistical Inference: Selected Papers written by Masahito Hayashi. This book was released on 2005-02-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotic Theory of Quantum Statistical Inference

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Author :
Release : 2005
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Asymptotic Theory of Quantum Statistical Inference by : Dagmar Bruss (physicien).)

Download or read book Asymptotic Theory of Quantum Statistical Inference written by Dagmar Bruss (physicien).). This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Papers on Probability and Statistics

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Author :
Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 216/5 ( reviews)

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Book Synopsis Selected Papers on Probability and Statistics by :

Download or read book Selected Papers on Probability and Statistics written by . This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics in probability theory, statistics, and applications. This volume is suitable for graduate students and research mathematicians interested in probability and statistics.

Quantum Stochastics and Information

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Author :
Release : 2008
Genre : Science
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Quantum Stochastics and Information by : V. P. Belavkin

Download or read book Quantum Stochastics and Information written by V. P. Belavkin. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Quantum stochastic calculus has become an indispensable tool in modern quantum physics, its effectiveness being illustrated by recent developments in quantum control which place the calculus at the heart of the theory. Quantum statistics is rapidly taking shape as an intrinsically quantum counterpart to classical statistics, motivated by advances in quantum engineering and the need for better statistical inference tools for quantum systems. This volume contains a selection of regulear research articles and reviews by leading researchers in quantum control, quantum statistics, quantum probability and quantum information. The selection offers a unified view of recent trends in quantum stochastics, highlighting the common mathematical language of Hilbert space operators, and the deep connections between classical and quantum stochastic phenomena.

Quantum Information Theory

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Author :
Release : 2016-11-03
Genre : Computers
Kind : eBook
Book Rating : 255/5 ( reviews)

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Book Synopsis Quantum Information Theory by : Masahito Hayashi

Download or read book Quantum Information Theory written by Masahito Hayashi. This book was released on 2016-11-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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