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  • Letter
  • Open Access

Quantum limits for resolving Gaussian sources

Giacomo Sorelli1, Manuel Gessner2, Mattia Walschaers1, and Nicolas Treps1

  • 1Laboratoire Kastler Brossel, Sorbonne Université, ENS-Université PSL, CNRS, Collège de France, 4 Place Jussieu, F-75252 Paris, France
  • 2ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860, Castelldefels (Barcelona), Spain

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Phys. Rev. Research 4, L032022 – Published 10 August, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L032022

Abstract

We determine analytically the quantum Cramér-Rao bound for the estimation of the separation between two point sources in arbitrary Gaussian states. Our analytical expression is valid for arbitrary sources brightness, and determining how different resources, such as mutual coherence (induced by thermal correlations or displacement) or squeezing, affect the scaling of the ultimate resolution limit with the mean number of emitted photons. In practical scenarios, we find coherent states of the sources to achieve quantum optimal resolution.

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Information

Phys. Rev. Research 4, L032022– Published 10 August, 2022
  • Received 6 May 2022
  • Accepted 14 July 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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