Quantum limited super-resolution of an unequal-brightness source pair in three dimensions
arXiv:1908.10949 · doi:10.1088/1402-4896/ab573d
Abstract
This paper extends our previous quantum Fisher information (QFI) based analysis of the problem of separating a pair of equal-brightness incoherent point sources in three dimensions to the case of a pair of sources that are unequally bright. When the pair's geometric center is perfectly known in advance, QFI with respect to the estimation of the three separation coordinates remains independent of the degree of brightness asymmetry. For the experimentally more relevant case of perfect prior knowledge of the pair's brightness centroid, however, such QFI becomes dependent on the pair separation vector in a way that is controlled by the degree of its brightness asymmetry. This study yields potentially useful insights into the analysis of a more general superresolution imaging problem involving extended incoherent sources with nontrivial brightness distributions.
arXiv commentTo appear in Physica Scripta
References in corpus (17)
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Far-field Superresolution of Thermal Electromagnetic Sources at the Quantum Limit
- Beating Rayleigh's Curse by Imaging Using Phase Information
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Ultimate precision bound of quantum and sub-wavelength imaging
- A modern description of Rayleigh's criterion
- Beating the Rayleigh Limit Using Two-Photon Interference
- Subdiffraction incoherent optical imaging via spatial-mode demultiplexing
- Quantum limit for two-dimensional resolution of two incoherent optical point sources
- Quantum limit to subdiffraction incoherent optical imaging
- Quantum-limited estimation of the axial separation of two incoherent point sources
- Towards superresolution surface metrology: Quantum estimation of angular and axial separations
- Quantum limited superresolution of an incoherent source pair in three dimensions
- Optimal measurements for quantum spatial superresolution
- On superresolution imaging as a multiparameter estimation problem
- Attaining the quantum limit of super resolution in imaging an object's length via pre-detection spatial mode sorting
- Quantum limited super-localization and super-resolution of a source pair in three dimensions
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- Performance advantage of discriminating one-versus-two incoherent sources based on quantum hypothesis testing
- Quantum resolution limit of long-baseline imaging using distributed entanglement
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