Quantum measurement bounds beyond the uncertainty relations
Quantum Physics
2012-07-11 v1
Abstract
We give a bound to the precision in the estimation of a parameter in terms of the expectation value of an observable. It is an extension of the Cramer-Rao inequality and of the Heisenberg uncertainty relation, where the estimation precision is typically bounded in terms of the variance of an observable.
Cite
@article{arxiv.1109.5661,
title = {Quantum measurement bounds beyond the uncertainty relations},
author = {Vittorio Giovannetti and Seth Lloyd and Lorenzo Maccone},
journal= {arXiv preprint arXiv:1109.5661},
year = {2012}
}
Comments
6 pages, 3 figures