On Asymptotic Quantum Statistical Inference

Details On Asymptotic Quantum Statistical Inference On Asymptotic Quantum Statistical Inference

2011-12-09

arxiv.org/abs/1112.2078v2

Physics

Quantum Physics

34 pages. to appear in `From Probability to Statistics and Back: High-Dimensional Models and Processes'. A Festschrift in Hono

Scientific paper

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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