Efficient lineshape estimation by ghost spectroscopy
Quantum Physics
2025-03-21 v1 Data Analysis, Statistics and Probability
Optics
Abstract
Recovering the original spectral lineshapes from data obtained by instruments with extended transmission profiles is a basic tenet in spectroscopy. By using the moments of the measured lines as basic variables, we turn the problem into a linear inversion. However, when only a finite number of these moments are relevant, the rest of them act as nuisance parameters. These can be taken into account with a semiparametric model, which allows us to establish the ultimate bounds on the precision attainable in the estimation of the moments of interest. We experimentally confirm these limits with a simple ghost spectroscopy demonstration.
Keywords
Cite
@article{arxiv.2301.08123,
title = {Efficient lineshape estimation by ghost spectroscopy},
author = {Ilaria Gianani and Luis L. Sanchez Soto and Aaron Z. Goldberg and Marco Barbieri},
journal= {arXiv preprint arXiv:2301.08123},
year = {2025}
}