Performance-tradeoff relation for locating two incoherent optical point sources

Abstract

The optimal quantum measurements for estimating individual parameters might be incompatible with each other so that they cannot be jointly performed. The tradeoff between the estimation precision for different parameters can be characterized by information regret -- the difference between the Fisher information and its quantum limit. We show that the information-regret-tradeoff relation can give us not only an intuitive picture of the potential in improving the joint scheme of estimating the centroid and the separation, but also some clues to the optimal measurements for the sequential scheme. In particular, we show that, for two incoherent point sources with a very small separation, the optimal measurement for the separation must extract little information about the centroid, and vice versa.

Accepted version. 10 pages, 5 figures

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Cited by in corpus (5)

• Comparison of estimation limits for quantum two-parameter estimation
• Optimizing measurement tradeoffs in multiparameter spatial superresolution
• Joint optimal measurement for locating two incoherent optical point sources near the Rayleigh distance
• Adaptive quantum state estimation for two optical point sources
• Superresolving collective quantum measurements