On superresolution imaging as a multiparameter estimation problem
arXiv:1709.08392 · doi:10.1142/S0219749917400056
Abstract
We consider the problem of characterising the spatial extent of a composite light source using the superresolution imaging technique when the centroid of the source is not known precisely. We show that the essential features of this problem can be mapped onto a simple qubit model for joint estimation of a phase shift and a dephasing strength.
10 pages, 3 figures. Submitted to the special issue of the International Journal of Quantum Information on the occasion of the Workshop "Quantum 2017", Torino, 7-13 May 2017
References in corpus (5)
Cited by in corpus (50)
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Multi-parameter estimation beyond Quantum Fisher Information
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- A modern description of Rayleigh's criterion
- Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
- Resolving starlight: a quantum perspective
- Beating the Rayleigh Limit Using Two-Photon Interference
- Quantum limit to subdiffraction incoherent optical imaging
- Towards superresolution surface metrology: Quantum estimation of angular and axial separations
- Approaching optimal entangling collective measurements on quantum computing platforms
- Optimal measurements for quantum spatial superresolution
- Approaching Quantum Limited Super-Resolution Imaging without Prior Knowledge of the Object Location
- Overcoming resolution limits with quantum sensing
- Efficient computation of the Nagaoka--Hayashi bound for multi-parameter estimation with separable measurements
- Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment
- Resolution limits of spatial mode demultiplexing with noisy detection
- Quantum limits of localisation microscopy
- Imaginarity-free quantum multiparameter estimation
- Quantum limited super-localization and super-resolution of a source pair in three dimensions
- On the quantumness of multiparameter estimation problems for qubit systems
- Subwavelength quantum imaging with noisy detectors
- Multiphase estimation without a reference mode
- On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation
- Discrimination and estimation of incoherent sources under misalignment
- Multiparameter estimation perspective on non-Hermitian singularity-enhanced sensing
- Semiparametric estimation for incoherent optical imaging
- Quantum theory of polarimetry: From quantum operations to Mueller matrices
- Superresolution in interferometric imaging of strong thermal sources
- Quantum limited super-resolution of an unequal-brightness source pair in three dimensions
- Sub-Rayleigh resolution of two incoherent sources by array homodyning
- Effects of coherence on temporal resolution
- Super-resolution Optical Fluctuation Imaging -- fundamental estimation theory perspective
- Quantum Limited Superresolution of Extended Sources in One and Two Dimensions
- Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
- Generalization of Rayleigh's Criterion on Parameter Estimation with Incoherent Sources
- Multiparameter estimation for qubit states with collective measurements: a case study
- Quantum Limited Source Localization and Pair Superresolution under Finite Emission Bandwidth
- Performance-tradeoff relation for locating two incoherent optical point sources
- How to Project onto an Arbitrary Single-Photon Wavepacket
- Fisher information susceptibility for multiparameter quantum estimation
- Sub-Rayleigh characterization of a binary source by spatially demultiplexed coherent detection
- Quantum super-resolution for imaging two pointlike entangled photon sources
- Multiparameter estimation with two qubit probes in noisy channels
- Optimizing measurement tradeoffs in multiparameter spatial superresolution
- The usability of the optical parametric amplification of light for high-angular-resolution imaging and fast astrometry
- Precision Bounds for Characterising Quantum Measurements
- Superresolving collective quantum measurements
- Quantum-limited superresolution of two arbitrary incoherent point sources: beating the resurgence of Rayleigh's curse
- Quantifying classical and quantum bounds for resolving closely spaced, non-interacting, simultaneously emitting dipole sources in optical microscopy
- Overcoming frequency resolution limits using a solid-state spin quantum sensor