Superresolution Limits from Measurement Crosstalk

Abstract

Superresolution techniques based on intensity measurements after a spatial mode decomposition can overcome the precision of diffraction-limited direct imaging. However, realistic measurement devices always introduce finite crosstalk in any such mode decomposition. Here, we show that any nonzero crosstalk leads to a breakdown of superresolution when the number $N$ of detected photons is large. Combining statistical and analytical tools, we obtain the scaling of the precision limits for weak, generic crosstalk from a device-independent model as a function of the crosstalk probability and $N$. The scaling of the smallest distance that can be distinguished from noise changes from $N^{-1/2}$ for an ideal measurement to $N^{-1/4}$ in the presence of crosstalk.

arXiv comment5 + 6 pages, 5 + 3 figures

References in corpus (20)

• Advances in Quantum Metrology
• Efficient and mode selective spatial mode multiplexer based on Multi-Plane Light Conversion
• Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
• Bloch vectors for qudits
• 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
• Resolving starlight: a quantum perspective
• Beating the Rayleigh Limit Using Two-Photon Interference
• Quantum limit for two-dimensional resolution of two incoherent optical point sources
• Quantum-limited time-frequency estimation through mode-selective photon measurement
• Towards superresolution surface metrology: Quantum estimation of angular and axial separations
• The quantum limit to incoherent imaging is achieved by linear interferometry
• Fundamental precision bounds for three-dimensional optical localization microscopy with Poisson statistics
• Quantum limited superresolution of an incoherent source pair in three dimensions
• TEM10 homodyne detection as an optimal small displacement and tilt measurements scheme
• Resolution limits of spatial mode demultiplexing with noisy detection
• Quantum measurements of spatial conjugate variables: Displacement and tilt of a Gaussian beam
• Subwavelength quantum imaging with noisy detectors

Cited by in corpus (33)

• Advances in quantum imaging
• Quantum hypothesis testing for exoplanet detection
• Quantum limits of superresolution in a noisy environment
• Experimental demonstration of superresolution of partially coherent light sources using parity sorting
• Optimal observables and estimators for practical superresolution imaging
• Toward Incompatible Quantum Limits on Multiparameter Estimation
• Ultra-sensitive separation estimation of optical sources
• Single-photon sub-Rayleigh precision measurements of a pair of incoherent sources of unequal intensity
• Discrimination and estimation of incoherent sources under misalignment
• Moment-based superresolution: Formalism and applications
• Spatial-mode-demultiplexing for enhanced intensity and distance measurement
• Five open problems in quantum information
• Imaging arbitrary incoherent source distributions with near quantum-limited resolution
• Application range of crosstalk-affected spatial demultiplexing for resolving separations between unbalanced sources
• Super-Resolution Imaging with Multiparameter Quantum Metrology in Passive Remote Sensing
• Superresolution imaging of two incoherent optical sources with unequal brightnesses
• Efficient superoscillation measurement for incoherent optical imaging
• Sub-Rayleigh characterization of a binary source by spatially demultiplexed coherent detection
• Quantum super-resolution for imaging two pointlike entangled photon sources
• Single-photon super-resolved spectroscopy from spatial-mode demultiplexing
• Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing
• Spectral and temporal metrology with bandlimited functions and finite-time measurements
• Optimizing measurement tradeoffs in multiparameter spatial superresolution
• Tight information bounds for spontaneous emission lifetime resolution of quantum sources with varied spectral purity
• Machine learning with sub-diffraction resolution in the photon-counting regime
• On-sky Demonstration of Subdiffraction-limited Astronomical Measurement Using a Photonic Lantern
• Superresolving optical ruler based on spatial mode demultiplexing for systems evolving under Brownian motion
• Quantum-inspired exoplanet detection in the presence of experimental imperfections
• Quantum-limited superresolution of two arbitrary incoherent point sources: beating the resurgence of Rayleigh's curse
• Superresolving collective quantum measurements
• Performance advantage of quantum hypothesis testing for partially coherent optical sources
• Quantum Metrology under Coarse-Grained Measurement
• Quantum-enhanced passive remote sensing