Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology

• URL: http://arxiv.org/abs/2302.09823v1
• Date: Mon, 20 Feb 2023 08:07:50 GMT
• Title: Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology
• Authors: Jie Zeng, Dong Li, L. Q. Chen, Weiping Zhang, and Chun-Hua Yuan
• Abstract summary: The quantum Fisher information (QFI) in SU(2) and SU (1,1) interferometers was considered, and the QFI-only calculation was overestimated. We study the ultimate precision limits of SU(2) and SU (1,1) interferometers with photon losses because photon losses as a very usual noise may happen to the phase measurement process.
• Score: 6.095535246938544
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The quantum Fisher information (QFI) in SU(2) and SU(1,1) interferometers was considered, and the QFI-only calculation was overestimated. In general, the phase estimation as a two-parameter estimation problem, and the quantum Fisher information matrix (QFIM) is necessary. In this paper, we theoretically generalize the model developed by Escher et al [Nature Physics 7, 406 (2011)] to the QFIM case with noise and study the ultimate precision limits of SU(2) and SU(1,1) interferometers with photon losses because photon losses as a very usual noise may happen to the phase measurement process. Using coherent state and squeezed vacuum state as a specific example, we numerically analyze the variation of the overestimated QFI with the loss coefficient, and find its disappearance and recovery phenomenon.

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