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Joint optimal measurement for locating two incoherent optical point sources near the Rayleigh distance
- Source :
- Communications in Theoretical Physics 75, 045102 (2023)
- Publication Year :
- 2023
-
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.<br />Comment: 6 pages, 3 figures. Accepted version
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Communications in Theoretical Physics 75, 045102 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2302.07606
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1572-9494/acc4ae