Coherence effects on estimating general sub-Rayleigh object distribution moments

TL;DR

This paper derives bounds on estimating moments of partially coherent objects in the sub-Rayleigh regime, showing potential for improved accuracy over incoherent cases by leveraging coherence effects.

Contribution

It introduces quantum Fisher information and SNR bounds for partially coherent objects, revealing less restrictive limits than incoherent models in the sub-Rayleigh regime.

Findings

Bounds are less restrictive for partially coherent objects.

Potential for more accurate moment estimation in the sub-Rayleigh regime.

Quantum limits suggest coherence can improve estimation accuracy.

Abstract

Quantum Fisher information and signal-to-noise ratio bounds are derived for the estimation of moments of general partially coherent objects. Under an asymptotic analysis in the sub-Rayleigh regime, these bounds are shown to be less restrictive than those of the incoherent case. This leaves open the possibility of more accurately estimating object distribution moments when the object is partially coherent.