Quantum estimation of coupled parameters and the role of entanglement



Kok, P, Dunningham, J and Ralph, JF
(2000) Quantum estimation of coupled parameters and the role of entanglement.

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Abstract

The quantum Cramer-Rao bound places a limit on the mean square error of a parameter estimation procedure, and its numerical value is determined by the quantum Fisher information. For single parameters, this leads to the well- known Heisenberg limit that surpasses the classical shot-noise limit. When estimating multiple parameters, the situation is more complicated and the quantum Cramer-Rao bound is generally not attainable. In such cases, the use of entanglement typically still offers an enhancement in precision. Here, we demonstrate that entanglement is detrimental when estimating some nuisance parameters. In general, we find that the estimation of coupled parameters does not benefit from either classical or quantum correlations. We illustrate this effect in a practical application for optical gyroscopes.

Item Type: Article
Additional Information: 5 pages, 2 figures
Uncontrolled Keywords: quant-ph, quant-ph
Depositing User: Symplectic Admin
Date Deposited: 18 Oct 2016 10:48
Last Modified: 19 Jan 2023 07:37
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3000957

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