Optimal observables and estimators for practical superresolution imaging

• URL: http://arxiv.org/abs/2102.05611v2
• Date: Wed, 21 Jul 2021 11:08:10 GMT
• Title: Optimal observables and estimators for practical superresolution imaging
• Authors: Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, and Nicolas Treps
• Abstract summary: We show how a Cram'er-Rao bound for the distance between two thermal point sources can be constructed using an optimally designed observable in the presence of practical imperfections.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Recent works identified resolution limits for the distance between incoherent point sources. However, it remains unclear how to choose suitable observables and estimators to reach these limits in practical situations. Here, we show how estimators saturating the Cram\'er-Rao bound for the distance between two thermal point sources can be constructed using an optimally designed observable in the presence of practical imperfections, such as misalignment, crosstalk and detector noise.

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