Asymptotic theory of quantum statistical inference : selected papers / edited by Masahito Hayashi.

Format:

Book

Contributor:

Hayashi, Masahito.

Language:

English

Subjects (All):

Quantum theory.

Mathematical statistics--Asymptotic theory.

Mathematical statistics.

Probabilities.

Physical Description:

1 online resource (553 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2005.

Language Note:

English

Summary:

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 centr

Contents:

Preface; Contents; First Appearance; List of Contributors; Introduction to Quantum Statistical Inference; Part 1 - Hypothesis Testing; Part II - Quantum Cram ́er-Rao Bound in Mixed States Model; Part III - Quantum Cram ́er-Rao Bound in Pure States Model; Part IV - Group Symmetric Approach to Pure States Model; Part V - Large Deviation Theory in Quantum Estimation; Part IV - Further Topics on Quantum Statistical Inference; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611876715

9781281876713

1281876712

9789812563071

9812563075

OCLC:

57705119