Alternative measures of metrological resolution: contradictions and possible lack of limits

Details Alternative measures of metrological resolution: contradictions and possible lack of limits Alternative measures of metrological resolution: contradictions and possible lack of limits

2012-01-15

arxiv.org/abs/1201.3072v1

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

We consider a metrological application of a family of distances between measured statistics that generalize Hellinger distance and lead to generalized forms of the Fisher information. They allow us to show that different performance assessments of signal estimation may lead to contradictory conclusions and even to seemingly arbitrary high resolution with fixed finite resources.

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