Optimal Frequency Measurements with Maximally Correlated States
John J. Bollinger, Wayne M. Itano, David J. Wineland, D J. Heinzen
We show how maximally correlated states of N two-level particles can be used in spectroscopy to yield a frequency uncertainty equal to (NT)-1, where T is the time of a single measurement. From the time-energy uncertainty relation we show that this is the best precision possible. We rephrase these results in the language of particle interferometry and obtain a state and detection operator which can be used to achieve a phase uncertainty exactly equal to the 1/N Heisenberg limit, where N is the number of particles used in the measurement.
, Itano, W.
, Wineland, D.
and Heinzen, D.
Optimal Frequency Measurements with Maximally Correlated States, Physical Review Letters, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=104859
(Accessed October 28, 2021)