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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

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

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