Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Optimal Frequency Measurements with Maximally Correlated States

Published

Author(s)

John J. Bollinger, Wayne M. Itano, David J. Wineland, D J. Heinzen

Abstract

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.
Citation
Physical Review Letters
Volume
54

Citation

Bollinger, J. , Itano, W. , Wineland, D. and Heinzen, D. (1996), 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)
Created December 1, 1996, Updated February 19, 2017