Limits on spectral resolution measurements by quantum probes

Amit Rotem*, Tuvia Gefen, Santiago Oviedo-Casado, Javier Prior, Simon Schmitt, Yoram Burak, Liam Mcguiness, Fedor Jelezko, Alex Retzker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The limits of frequency resolution in nano-NMR experiments have been discussed extensively in recent years. It is believed that there is a crucial difference between the ability to resolve a few frequencies and the precision of estimating a single one. Whereas the efficiency of single frequency estimation gradually increases with the square root of the number of measurements, the ability to resolve two frequencies is limited by the specific timescale of the signal and cannot be compensated for by extra measurements. Here we show theoretically and demonstrate experimentally that the relationship between these quantities is more subtle and both are only limited by the Cramér-Rao bound of a single frequency estimation.

Original languageAmerican English
Article number060503
JournalPhysical Review Letters
Volume122
Issue number6
DOIs
StatePublished - 13 Feb 2019

Bibliographical note

Publisher Copyright:
© 2019 American Physical Society.

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