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Optimal estimation of ensemble averages from a quantum measurement

Paolo Perinotti·Giacomo M. D'Ariano
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Abstract

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.

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Paolo Perinotti, Giacomo M. D'Ariano. 2007-01-30. Optimal estimation of ensemble averages from a quantum measurement. https://arxiv.org/abs/quant-ph/0701231

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