ASYMPTOTIC THEORY OF QUANTUM STATISTICAL INFERENCE
Selected Papers
edited by Masahito Hayashi (Japan Science and Technology Agency & University of Tokyo)
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.
Contents:
- Hypothesis Testing
- Quantum Cramér-Rao Bound in Mixed States Model
- Quantum Cramér-Rao Bound in Pure States Model
- Group Symmetric Approach to Pure States Model
- Large Deviation Theory in Quantum Estimation
- Futher Topics on Quantum Statistical Inference
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Readership: Graduate students in quantum physics, mathematical
physics, and probability and statistics.
