On superresolution imaging as a multiparameter estimation problem

TL;DR

This paper models superresolution imaging as a multiparameter estimation problem, focusing on characterizing a light source’s spatial extent without precise centroid knowledge, using a qubit analogy for joint phase and dephasing estimation.

Contribution

It introduces a simplified qubit model to analyze the fundamental limits of superresolution imaging when the source centroid is uncertain.

Findings

Mapping the imaging problem to a qubit model reveals estimation limits.

Joint estimation of phase and dephasing is essential for accurate characterization.

The approach provides insights into the fundamental quantum limits of superresolution.

Abstract

We consider the problem of characterising the spatial extent of a composite light source using the superresolution imaging technique when the centroid of the source is not known precisely. We show that the essential features of this problem can be mapped onto a simple qubit model for joint estimation of a phase shift and a dephasing strength.