Quantum limit for two-dimensional resolution of two incoherent optical point sources
arXiv:1606.00603 · doi:10.1103/PhysRevA.95.063847
Abstract
We obtain the multiple-parameter quantum Cramér-Rao bound for estimating the transverse Cartesian components of the centroid and separation of two incoherent optical point sources using an imaging system with finite spatial bandwidth. Under quite general and realistic assumptions on the point-spread function of the imaging system, and for weak source strengths, we show that the Cramér-Rao bounds for the and components of the separation are independent of the values of those components, which may be well below the conventional Rayleigh resolution limit. We also propose two linear optics-based measurement methods that approach the quantum bound for the estimation of the Cartesian components of the separation once the centroid has been located. One of the methods is an interferometric scheme that approaches the quantum bound for sub-Rayleigh separations. The other method using fiber coupling can in principle attain the bound regardless of the distance between the two sources.
15 pages, 8 figures; Presentation improved and references added; Detailed comparison with direct imaging added in Sec. III.C; closely approximates published version
References in corpus (5)
- Far-field Superresolution of Thermal Electromagnetic Sources at the Quantum Limit
- Beating Rayleigh's Curse by Imaging Using Phase Information
- Ultimate precision bound of quantum and sub-wavelength imaging
- Subdiffraction incoherent optical imaging via spatial-mode demultiplexing
- Light Microscopy: An ongoing contemporary revolution
Cited by in corpus (61)
- Multi-parameter Quantum Metrology
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Sensitivity Bounds for Multiparameter Quantum Metrology
- A modern description of Rayleigh's criterion
- Resolving starlight: a quantum perspective
- Quantum limit to subdiffraction incoherent optical imaging
- Optimal measurements for quantum multiparameter estimation with general states
- 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
- Quantum-optimal detection of one-versus-two incoherent sources with arbitrary separation
- Quantum-optimal detection of one-versus-two incoherent optical sources with arbitrary separation
- Optimal measurements for quantum spatial superresolution
- Superresolution Limits from Measurement Crosstalk
- Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment
- Quantum limits of localisation microscopy
- Comment on "Resurgence of Rayleigh's curse in the presence of partial coherence"
- Intrinsic Sensitivity Limits for Multiparameter Quantum Metrology
- Quantum limits of superresolution in a noisy environment
- Optimal observables and estimators for practical superresolution imaging
- Quantum limited super-localization and super-resolution of a source pair in three dimensions
- Global operator bounds on electromagnetic scattering: Upper bounds on far-field cross sections
- Single-molecule orientation localization microscopy I: fundamental limits
- Subwavelength quantum imaging with noisy detectors
- Identifying Objects at the Quantum Limit for Super-Resolution Imaging
- Conservative classical and quantum resolution limits for incoherent imaging
- Realistic sub-Rayleigh imaging with phase-sensitive measurements
- Quantum limits for precisely estimating the orientation and wobble of dipole emitters
- Semiparametric estimation for incoherent optical imaging
- Superresolution in interferometric imaging of strong thermal sources
- Quantum limited super-resolution of an unequal-brightness source pair in three dimensions
- Attaining quantum limited precision of localizing an object in passive imaging
- Quantum noise radar: superresolution with quantum antennas by accessing spatiotemporal correlations
- Quantum limits of parameter estimation in long-baseline imaging
- Generalization of Rayleigh's Criterion on Parameter Estimation with Incoherent Sources
- Super-Resolution Imaging with Multiparameter Quantum Metrology in Passive Remote Sensing
- Sub-Rayleigh characterization of a binary source by spatially demultiplexed coherent detection
- Resolving the Orientations of and Angular Separation between a Pair of Dipole Emitters
- Two-parameter estimation with three-mode NOON state in a symmetric three-well system
- Optimizing measurement tradeoffs in multiparameter spatial superresolution
- Heisenberg-scaling sensitivity in the estimation of two parameters in a Mach-Zehnder interferometer
- Dispelling Rayleigh's Curse
- Quantum thermometry in diffraction-limited systems
- Optimal control for multi-parameter quantum estimation with time-dependent Hamiltonians
- Tight information bounds for spontaneous emission lifetime resolution of quantum sources with varied spectral purity
- Multi-parameter Quantum Magnetometry with Spin States in coarsened measurement reference
- Quantum Limits of Exoplanet Detection and Localization
- Superresolving collective quantum measurements
- Quantum-limited superresolution of two arbitrary incoherent point sources: beating the resurgence of Rayleigh's curse
- Approaching the double-Heisenberg scaling sensitivity in the Tavis-Cummings model
- Performance advantage of quantum hypothesis testing for partially coherent optical sources
- Quantum resolution limit of long-baseline imaging using distributed entanglement
- Superresolving optical ruler based on spatial mode demultiplexing for systems evolving under Brownian motion
- Performance advantage of discriminating one-versus-two incoherent sources based on quantum hypothesis testing
- Quantifying classical and quantum bounds for resolving closely spaced, non-interacting, simultaneously emitting dipole sources in optical microscopy
- Approaching the Multiparameter Quantum Cramér-Rao Bound via Classical Correlation and Entangling Measurements
- Quantum limits to resolution and discrimination of spontaneous emission lifetimes
- Quantum-enhanced passive remote sensing
- Axial superlocalization with vortex beams
- Intensity-Based Axial Localization at the Quantum Limit