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Optimal estimation of quantum observables

Quantum Physics 2007-05-23 v1

Abstract

We consider the problem of estimating the ensemble average of an observable on an ensemble of equally prepared identical quantum systems. We show that, among all kinds of measurements performed jointly on the copies, the optimal unbiased estimation is achieved by the usual procedure that consists in performing independent measurements of the observable on each system and averaging the measurement outcomes.

Keywords

Cite

@article{arxiv.quant-ph/0510187,
  title  = {Optimal estimation of quantum observables},
  author = {Giacomo Mauro D'Ariano and Vittorio Giovannetti and Paolo Perinotti},
  journal= {arXiv preprint arXiv:quant-ph/0510187},
  year   = {2007}
}

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Submitted to J. Math Phys