Multiparameter Heisenberg limit
Quantum Physics
2016-02-02 v2
Abstract
Using a quantum version of the Bell-Ziv-Zakai bound, I derive a Heisenberg limit to multiparameter estimation for any Gaussian prior probability density. The mean-square error lower bound is shown to have a universal quadratic scaling with respect to a quantum resource, such as the average photon number in the case of optical phase estimation, suitably weighted by the prior covariance matrix.
Cite
@article{arxiv.1403.4080,
title = {Multiparameter Heisenberg limit},
author = {Mankei Tsang},
journal= {arXiv preprint arXiv:1403.4080},
year = {2016}
}
Comments
First draft. Note that this result has since been extended, merged into arXiv:1409.7877, and published in Physical Review X