Quantum limit to subdiffraction incoherent optical imaging. II. A parametric-submodel approach

• URL: http://arxiv.org/abs/2010.03518v4
• Date: Thu, 11 Nov 2021 01:05:39 GMT
• Title: Quantum limit to subdiffraction incoherent optical imaging. II. A parametric-submodel approach
• Authors: Mankei Tsang
• Abstract summary: In a previous paper, I proposed a quantum limit to the estimation of object moments in subdiffraction incoherent optical imaging. In this paper, I prove the quantum limit rigorously by infinite-dimensional analysis. I also prove that the measurement method of spatial-mode demultiplexing with just one or two modes is able to achieve the quantum limit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In a previous paper [M. Tsang, Phys. Rev. A 99, 012305 (2019)], I proposed a quantum limit to the estimation of object moments in subdiffraction incoherent optical imaging. In this sequel, I prove the quantum limit rigorously by infinite-dimensional analysis. A key to the proof is the choice of an unfavorable parametric submodel to give a bound for the semiparametric problem. By generalizing the quantum limit for a larger class of moments, I also prove that the measurement method of spatial-mode demultiplexing (SPADE) with just one or two modes is able to achieve the quantum limit. For comparison, I derive a classical bound for direct imaging using the parametric-submodel approach, which suggests that direct imaging is substantially inferior.

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