Środowiskowe Seminarium z Informacji i Technologii Kwantowych

The limits of frequency resolution in nano NMR experiments have been discussed extensivelyin recent years. It is believed that there is a crucial difference between the abilityto resolve a few frequencies and the precision of estimating a single one. Whereas the efficiencyof single frequency estimation gradually increases with the square root of the numberof measurements, the ability to resolve two frequencies is limited by the specific time scaleof the probe and cannot be compensated for by extra measurements. In this talk I will showthat the relationship between these quantities is more subtle and both are only limited bythe Cramer-Rao bound of a single frequency estimation.