Optimal observables and estimators for practical super-resolution imaging

Giacomo Sorelli (1) , Manuel Gessner (2) , Mattia Walschaers (1) , Nicolas Treps (1)

1 LKB (Jussieu) - Laboratoire Kastler Brossel
2 LKB (Lhomond) - Laboratoire Kastler Brossel

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 Crame ́r-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, cross talk, and detector noise.

Domaines: Physique Quantique [quant-ph]

Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, Nicolas Treps. Optimal observables and estimators for practical super-resolution imaging. Physical Review Letters, 2021, 127, pp.123604. ⟨10.1103/PhysRevLett.127.123604⟩. ⟨hal-03216915⟩