Optimizing measurement tradeoffs in multiparameter spatial superresolution

The quantum Cramér-Rao bound for the joint estimation of the centroid and the separation between two incoherent point sources cannot be saturated. As such, the optimal measurements for extracting maximal information about both at the same time are not known. In this paper, we ascertain these optimal measurements for an arbitrary point spread function, in the most relevant regime of a small separation between the sources. Our measurement can be adjusted within a set of tradeoffs, allowing more information to be extracted from the separation or the centroid while ensuring that the total information is the maximum possible. Published by the American Physical Society 2024

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2024-09-23
DOI
https://doi.org/10.1103/physreva.110.033716
Citations
3
Primary Topic
Optical measurement and interference techniques
Type
article
Field-Weighted Citation Impact
0.75

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article

Optimizing measurement tradeoffs in multiparameter spatial superresolution

Aaron Z. Goldberg, Z. Hradil, J. Řeháček, L. L. Sánchez-Soto et al.
3 citations
Physical review. A/Physical review, A
Optical measurement and interference techniques
0.75
article

Optimizing measurement tradeoffs in multiparameter spatial superresolution

Aaron Z. Goldberg, Z. Hradil, J. Řeháček, L. L. Sánchez-Soto, J. L. Romero
article en
3 citations

Abstract

The quantum Cramér-Rao bound for the joint estimation of the centroid and the separation between two incoherent point sources cannot be saturated. As such, the optimal measurements for extracting maximal information about both at the same time are not known. In this paper, we ascertain these optimal measurements for an arbitrary point spread function, in the most relevant regime of a small separation between the sources. Our measurement can be adjusted within a set of tradeoffs, allowing more information to be extracted from the separation or the centroid while ensuring that the total information is the maximum possible. Published by the American Physical Society 2024

Physical review. A/Physical review, AVol. 110(3)
Universidad Complutense de Madrid (ES), University of Ottawa (CA), Chapman University (US), Max Planck Institute for the Science of Light (DE), National Research Council Canada (CA), Palacký University Olomouc (CZ)
National Science Foundation, Natural Sciences and Engineering Research Council of Canada, Agencia Estatal de Investigación, Kavli Institute for Theoretical Physics, University of California, Santa Barbara
Openalex Percentile: Top 28%
Optical measurement and interference techniques
0.75
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Optimizing measurement tradeoffs in multiparameter spatial superresolution — Aaron Z. Goldberg, Z. Hradil, et al. · Physical review. A/Physical review, A (2024) | TGRS Research Map | TGRS