Quantum limit to subdiffraction incoherent optical imaging. III. Numerical analysis

• URL: http://arxiv.org/abs/2308.04317v2
• Date: Fri, 29 Mar 2024 07:37:47 GMT
• Title: Quantum limit to subdiffraction incoherent optical imaging. III. Numerical analysis
• Authors: Xiao-Jie Tan, Mankei Tsang,
• Abstract summary: This work performs a numerical analysis of the quantum bound to verify that the law works well for nonzero object sizes in reality. We also use the numerical bounds to study the optimality of a measurement called spatial-mode demultiplexing or SPADE.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: To investigate the fundamental limit to far-field incoherent imaging, the prequels to this work [M. Tsang, Phys. Rev. A 99, 012305 (2019); 104, 052411 (2021)] have studied a quantum lower bound on the error of estimating an object moment and proved a scaling law for the bound with respect to the object size. As the scaling law was proved only in the asymptotic limit of vanishing object size, this work performs a numerical analysis of the quantum bound to verify that the law works well for nonzero object sizes in reality. We also use the numerical bounds to study the optimality of a measurement called spatial-mode demultiplexing or SPADE, showing that SPADE not only follows the scaling but is also numerically close to being optimal, at least for low-order moments.

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