Abstract
We study asymptotically optimal statistical inference concerning the unknown state of $N$ identical quantum systems, using two complementary approaches: a “poor man’s approach” based on the van Trees inequality, and a rather more sophisticated approach using the recently developed quantum form of LeCam’s theory of Local Asymptotic Normality.
Information
Published: 1 January 2013
First available in Project Euclid: 8 March 2013
zbMATH: 1325.62053
Digital Object Identifier: 10.1214/12-IMSCOLL909
Subjects:
Primary:
62F12
Secondary:
62P35
Keywords:
local asymptotic normality
,
quantum Cramér-Rao bound
,
Quantum local asymptotic normality
,
van Trees inequality
Rights: Copyright © 2010, Institute of Mathematical Statistics
