Invariance Property of the Fisher Information in Scattering Media

Michael Horodynski, Dorian Bouchet, Matthias Kühmayer, and Stefan Rotter
Phys. Rev. Lett. 127, 233201 – Published 1 December 2021
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Abstract

Determining the ultimate precision limit for measurements on a subwavelength particle with coherent laser light is a goal with applications in areas as diverse as biophysics and nanotechnology. Here, we demonstrate that surrounding such a particle with a complex scattering environment does, on average, not have any influence on the mean quantum Fisher information associated with measurements on the particle. As a remarkable consequence, the average precision that can be achieved when estimating the particle’s properties is the same in the ballistic and in the diffusive scattering regime, independently of the particle’s position within its nonabsorbing environment. This invariance law breaks down only in the regime of Anderson localization, due to increased C0-speckle correlations. Finally, we show how these results connect to the mean quantum Fisher information achievable with spatially optimized input fields.

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  • Received 16 June 2021
  • Accepted 27 October 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.233201

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Michael Horodynski1, Dorian Bouchet2, Matthias Kühmayer1, and Stefan Rotter1,*

  • 1Institute for Theoretical Physics, Vienna University of Technology (TU Wien), 1040 Vienna, Austria
  • 2Université Grenoble Alpes, CNRS, LIPhy, 38000 Grenoble, France

  • *stefan.rotter@tuwien.ac.at

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Issue

Vol. 127, Iss. 23 — 3 December 2021

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