Joint optimal measurement for locating two incoherent optical point sources near the Rayleigh distance
arXiv:2302.07606 · doi:10.1088/1572-9494/acc4ae
Abstract
The simultaneous optimization of the centroid estimation and the separation estimation of two incoherent optical point sources is restricted by a tradeoff relation through an incompatibility coefficient. At the Rayleigh distance the incompatibility coefficient vanishes and thus the tradeoff relation no longer restricts the simultaneous optimization of measurement for a joint estimation. We construct such a joint optimal measurement by an elaborated analysis on the operator algebra of the symmetric logarithmic derivative. Our work not only confirms the existence of a joint optimal measurement for this specific imaging model, but also gives a promising method to characterize the condition on measurement compatibility for general multiparameter estimation problems.
arXiv comment6 pages, 3 figures. Accepted version
References in corpus (12)
- Quantum Fisher information matrix and multiparameter estimation
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Compatibility in Multiparameter Quantum Metrology
- On quantumness in multi-parameter quantum estimation
- Resolving starlight: a quantum perspective
- Incorporating Heisenberg's Uncertainty Principle into Quantum Multiparameter Estimation
- QuanEstimation: An open-source toolkit for quantum parameter estimation
- Classification and characterization of quantum parametric models in quantum estimation theory
- Information geometry under hierarchical quantum measurement
- Incompatibility measures in multi-parameter quantum estimation under hierarchical quantum measurements
- Performance-tradeoff relation for locating two incoherent optical point sources