Published September 23, 2024 | Version v1
Journal article Open

Optimizing measurement tradeoffs in multiparameter spatial superresolution

  • 1. Departamento de Óptica, Facultad de Física, Universidad Complutense, 28040 Madrid, Spain
  • 2. Institute for Quantum Studies, Chapman University, Orange, California 92866, USA
  • 3. Max-Planck-Institut für die Physik des Lichts, 91058 Erlangen, Germany
  • 4. National Research Council of Canada, 100 Sussex Drive, Ottawa, Ontario, Canada K1N 5A2
  • 5. Department of Physics, University of Ottawa, 25 Templeton Street, Ottawa, Ontario, Canada K1N 6N5
  • 6. Department of Optics, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic

Description

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.

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10.1103_PhysRevA.110.033716.pdf

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Additional details

Identifiers

DOI
10.1103/PhysRevA.110.033716;
arXiv
arXiv:2406.17009;
Crossref Funder ID
10.13039/501100011033; 10.13039/501100000038; 10.13039/100000001; 10.13039/100005956;

Publishing Information

Journal Title
Physical Review A
Journal Volume
110
Journal Issue
3
Journal Page Range
6 pgs.
ISSN
1094-1622