Optimal observables for practical super-resolution imaging

Giacomo Sorelli; Manuel Gessner; Mattia Walschaers; Nicolas Treps

doi:10.1117/12.2588352

5 March 2021 Optimal observables for practical super-resolution imaging

Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, Nicolas Treps

Proceedings Volume 11700, Optical and Quantum Sensing and Precision Metrology; 1170044 (2021) https://doi.org/10.1117/12.2588352
Event: SPIE OPTO, 2021, Online Only

Abstract

Recently, it has been demonstrated that demultiplexing Hermite-Gauss (HG) modes represents the quantum-optimal measurement to estimate the distance between two incoherent sources. However, it remains unclear how to practically combine the information contained into several demultiplexing measurements to reach the ultimate resolution limits. In this contribution, we show how estimators saturating the Cramér-Rao bound for the distance between two thermal point sources can be constructed from an optimised linear combination of intensity measurements in a given number of HG modes, in presence of practical imperfection such as misalignment, crosstalk and detector noise. Moreover, we demonstrate that our strategy saturates the quantum Cramér-Rao bound, in the noiseless case, if sufficiently many modes are measured.

Conference Presentation

Citation Download Citation

Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, and Nicolas Treps "Optimal observables for practical super-resolution imaging", Proc. SPIE 11700, Optical and Quantum Sensing and Precision Metrology, 1170044 (5 March 2021); https://doi.org/10.1117/12.2588352

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