Subwavelength quantum imaging with noisy detectors
arXiv:1911.10012 · doi:10.1103/PhysRevA.101.022323
Abstract
It has been recently shown that an interferometric measurement may allow for sub-wavelength resolution of incoherent light. Whereas this holds for noiseless detectors, one could expect that the resolution is in practice limited by signal-to-noise ratio. Here I present an assessment of the ultimate resolution limits that can be achieved using noisy detectors. My analysis indeed indicates that the signal-to-noise ratio represents a fundamental limit to quantum imaging, and the reduced resolution scales with the square root of the signal-to-noise ratio. For example, a signal-to-ratio of is needed to resolve one order of magnitude below the Rayleigh limit.
Comments welcome. v2: close to the published version
References in corpus (32)
- Quantum sensing
- Advances in Photonic Quantum Sensing
- Experimental realization of sub-shot-noise quantum imaging
- Two-photon diffraction and quantum lithography
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Quantum Imaging
- A Geometric Perspective on Quantum Parameter Estimation
- Far-field Superresolution of Thermal Electromagnetic Sources at the Quantum Limit
- Unified Theory of Ghost Imaging with Gaussian-State Light
- 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
- Quantum interferometric optical lithography:towards arbitrary two-dimensional patterns
- Fundamental limits to quantum channel discrimination
- Beating the Rayleigh Limit Using Two-Photon Interference
- Super-Resolution Quantum Imaging at the Heisenberg Limit
- Quantum limit for two-dimensional resolution of two incoherent optical point sources
- Quantum-limited time-frequency estimation through mode-selective photon measurement
- Quantum-limited estimation of the axial separation of two incoherent point sources
- Towards superresolution surface metrology: Quantum estimation of angular and axial separations
- Fundamental precision bounds for three-dimensional optical localization microscopy with Poisson statistics
- Quantum limited superresolution of an incoherent source pair in three dimensions
- Fisher information for far-field linear optical superresolution via homodyne or heterodyne detection in a higher-order local oscillator mode
- Optimal measurements for quantum spatial superresolution
- On superresolution imaging as a multiparameter estimation problem
- Quantum Fisher Information with Coherence
- Fundamental Limits of Classical and Quantum Imaging
- Comment on "Resurgence of Rayleigh's curse in the presence of partial coherence"
- Attaining the quantum limit of super resolution in imaging an object's length via pre-detection spatial mode sorting
- Realistic sub-Rayleigh imaging with phase-sensitive measurements
- Quantum metrology of spatial deformation using arrays of classical and quantum light emitters
- Capacities of linear quantum optical systems
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