Quantum limit to subdiffraction incoherent optical imaging. II. A parametric-submodel approach

@article{Tsang2021QuantumLT,
  title={Quantum limit to subdiffraction incoherent optical imaging. II. A parametric-submodel approach},
  author={Mankei Tsang},
  journal={Physical Review A},
  year={2021}
}
  • M. Tsang
  • Published 7 October 2020
  • Physics
  • Physical Review A
In a previous paper [M. Tsang, Phys. Rev. A 99, 012305 (2019)], I proposed a quantum limit to the estimation of object moments in subdiffraction incoherent optical imaging. In this sequel, I prove the quantum limit rigorously by infinite-dimensional analysis. A key to the proof is the choice of an unfavorable parametric submodel to give a bound for the semiparametric problem. By generalizing the quantum limit for a larger class of moments, I also prove that the measurement method of spatial… Expand
1 Citations

Figures from this paper

Semiparametric estimation in Hong-Ou-Mandel interferometry
Valeria Cimini, 2 Francesco Albarelli, 4 Ilaria Gianani, ∗ and Marco Barbieri 5 Dipartimento di Scienze, Universitá degli Studi Roma Tre, Via della Vasca Navale, 84, 00146 Rome, Italy Dipartimento diExpand

References

SHOWING 1-10 OF 73 REFERENCES
Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment
I present a semiclassical analysis of a spatial-mode demultiplexing (SPADE) measurement scheme for far-field incoherent optical imaging under the effects of diffraction and photon shot noise.Expand
Subdiffraction incoherent optical imaging via spatial-mode demultiplexing
I propose a spatial-mode demultiplexing (SPADE) measurement scheme for the far-field imaging of spatially incoherent optical sources. For any object too small to be resolved by direct imaging underExpand
Conservative classical and quantum resolution limits for incoherent imaging
Abstract I propose classical and quantum limits to the statistical resolution of two incoherent optical point sources from the perspective of minimax parameter estimation. Unlike earlier resultsExpand
Semiparametric estimation for incoherent optical imaging
  • M. Tsang
  • Physics, Engineering
  • Physical Review Research
  • 2019
TLDR
Using a Hilbert-space formalism designed for Poisson processes, exact semiparametric Cramer-Rao bounds and efficient estimators are derived for both direct imaging and a quantum-inspired measurement method called spatial-mode demultiplexing (SPADE). Expand
Attaining the quantum limit of superresolution in imaging an object's length via predetection spatial-mode sorting
We consider estimating the length of an incoherently radiating quasimonochromatic extended object of length much smaller than the traditional diffraction limit, the Rayleigh length. This is theExpand
Quantum-Optimal Object Discrimination in Sub-Diffraction Incoherent Imaging
We consider imaging tasks involving discrimination between known objects and investigate the best possible accuracy with which the correct object can be identified. Using the quantum Chernoff bound,Expand
Resolving starlight: a quantum perspective
  • M. Tsang
  • Mathematics, Physics
  • Contemporary Physics
  • 2019
TLDR
For the resolution of two sub-Rayleigh sources, the new methods have been shown theoretically and experimentally to outperform direct imaging and approach the true quantum limits. Expand
Quantum theory of superresolution for two incoherent optical point sources
Rayleigh's criterion for resolving two incoherent point sources has been the most influential measure of optical imaging resolution for over a century. In the context of statistical image processing,Expand
Adaptive Imaging of Arbitrary Thermal Source Distributions with Near Quantum-Limited Resolution
We demonstrate an approach to obtaining near quantum limited far-field imaging resolution of thermal, incoherent sources with arbitrary distributions. Our method assumes no prior knowledge of theExpand
Quantum limits of localisation microscopy
We show that localisation microscopy of multiple weak, incoherent point sources with possibly different intensities in one spatial dimension is equivalent to estimating the amplitudes of a classicalExpand
...
1
2
3
4
5
...