Joint optimal measurement for locating two incoherent optical point sources near the Rayleigh distance
| Autor: | Yingying Shi, Xiao-Ming Lu |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Popis: | 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. 6 pages, 3 figures. Accepted version |
| Databáze: | OpenAIRE |
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