Performance-tradeoff relation for locating two incoherent optical point sources

• URL: http://arxiv.org/abs/2202.05647v2
• Date: Fri, 10 Jun 2022 06:17:28 GMT
• Title: Performance-tradeoff relation for locating two incoherent optical point sources
• Authors: Jingjing Shao and Xiao-Ming Lu
• Abstract summary: tradeoff between estimation precision for different parameters can be characterized by information regret. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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