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Main Authors: Orphal-Kobin, Laura, Pieplow, Gregor, Gokhale, Alok, Unterguggenberger, Kilian, Schröder, Tim
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.07951
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author Orphal-Kobin, Laura
Pieplow, Gregor
Gokhale, Alok
Unterguggenberger, Kilian
Schröder, Tim
author_facet Orphal-Kobin, Laura
Pieplow, Gregor
Gokhale, Alok
Unterguggenberger, Kilian
Schröder, Tim
contents In regimes of low signal strengths and therefore a small signal-to-noise ratio, standard data analysis methods often fail to accurately estimate system properties. We present a method based on Monte Carlo simulations to effectively restore robust parameter estimates from large sets of undersampled data. This approach is illustrated through the analysis of photoluminescence excitation spectroscopy data for optical linewidth characterization of a nitrogen-vacancy color center in diamond. We evaluate the quality of parameter prediction using standard statistical data analysis methods, such as the median, and the Monte Carlo method. Depending on the signal strength, we find that the median can be precise (narrow confidence intervals) but very inaccurate. A detailed analysis across a broad range of parameters allows to identify the experimental conditions under which the median provides a reliable predictor of the quantum emitter's linewidth. We also explore machine learning to perform the same task, forming a promising addition to the parameter estimation toolkit. Finally, the developed method offers a broadly applicable tool for accurate parameter prediction from low signal data, opening new experimental regimes previously deemed inaccessible.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07951
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Retrieving Lost Atomic Information: Monte Carlo-based Parameter Reconstruction of an Optical Quantum System
Orphal-Kobin, Laura
Pieplow, Gregor
Gokhale, Alok
Unterguggenberger, Kilian
Schröder, Tim
Quantum Physics
In regimes of low signal strengths and therefore a small signal-to-noise ratio, standard data analysis methods often fail to accurately estimate system properties. We present a method based on Monte Carlo simulations to effectively restore robust parameter estimates from large sets of undersampled data. This approach is illustrated through the analysis of photoluminescence excitation spectroscopy data for optical linewidth characterization of a nitrogen-vacancy color center in diamond. We evaluate the quality of parameter prediction using standard statistical data analysis methods, such as the median, and the Monte Carlo method. Depending on the signal strength, we find that the median can be precise (narrow confidence intervals) but very inaccurate. A detailed analysis across a broad range of parameters allows to identify the experimental conditions under which the median provides a reliable predictor of the quantum emitter's linewidth. We also explore machine learning to perform the same task, forming a promising addition to the parameter estimation toolkit. Finally, the developed method offers a broadly applicable tool for accurate parameter prediction from low signal data, opening new experimental regimes previously deemed inaccessible.
title Retrieving Lost Atomic Information: Monte Carlo-based Parameter Reconstruction of an Optical Quantum System
topic Quantum Physics
url https://arxiv.org/abs/2501.07951