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ASYMPTOTIC THEORY OF QUANTUM STATISTICAL INFERENCE
Selected Papers
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PREFACE
In order to obtain information from a quantum system of interest, we need
to perform a quantum measurement and extract the desired information
from the obtained data. Needless to say, we had better optimize the above
two processes for obtaining information of the quantum system. This re-
search area is called “Quantum Statistical Inference,” and is much required
for realizing many quantum information processing tasks. This research
field was initiated in the middle of 1960s, and was studied up to 1980 by
American and Russian researchers, for example Holevo, Yuen, Kennedy,
and Belavkin, etc. Their research is summarized in the following books:
[a] C. W. Helstrom,
Quantum Detection and Estimation Theory,
(Academic Press, New York, 1976).
[b] A. S. Holevo,
Probabilistic and Statistical Aspects of Quantum Theory,
(