Open Access
VOL. 9 | 2013 On asymptotic quantum statistical inference
Richard D. Gill, Mădălin I. Guţă

Editor(s) M. Banerjee, F. Bunea, J. Huang, V. Koltchinskii, M. H. Maathuis

Inst. Math. Stat. (IMS) Collect., 2013: 105-127 (2013) DOI: 10.1214/12-IMSCOLL909


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.


Published: 1 January 2013
First available in Project Euclid: 8 March 2013

zbMATH: 1325.62053

Digital Object Identifier: 10.1214/12-IMSCOLL909

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

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