Quantum limit to subdiffraction incoherent optical imaging. III. Numerical analysis
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916183142301696 |
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| author | Tan, Xiao-Jie Tsang, Mankei |
| author_facet | Tan, Xiao-Jie Tsang, Mankei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_04317 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum limit to subdiffraction incoherent optical imaging. III. Numerical analysis Tan, Xiao-Jie Tsang, Mankei Quantum Physics 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. |
| title | Quantum limit to subdiffraction incoherent optical imaging. III. Numerical analysis |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2308.04317 |