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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.
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Applications of the Van Trees inequality: a Bayesian Cramér-Rao bound
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Measuring the Quantum State of Light
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Petz, D. and Jencova, A., (2006) · 2006
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Separable-measurement estimation of density matrices and its fidelity gap with collective protocols
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