Optimal estimation of ensemble averages from a quantum measurement

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We consider the general measurement scenario in which the ensemble average of an operator is determined via suitable data-processing of the outcomes of a quantum measurement described by a POVM. After reviewing the optimization of data processing that minimizes the statistical error of the estimation, we provide a compact formula for the evaluation of the estimation error.
4 pages, contribution for the proceedings of the QCMC06 at Tsukuba, Japan. qcmc06.sty

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