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Hauptverfasser: Kang, Qingqian, Zhao, Zekun, Zhao, Teng, Liu, Cunjin, Hu, Liyun
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2406.06528
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author Kang, Qingqian
Zhao, Zekun
Zhao, Teng
Liu, Cunjin
Hu, Liyun
author_facet Kang, Qingqian
Zhao, Zekun
Zhao, Teng
Liu, Cunjin
Hu, Liyun
contents Utilizing nonlinear elements, SU(1,1) interferometers demonstrate superior phase sensitivity compared to passive interferometers. However, the precision is significantly impacted by photon losses, particularly internal losses. We propose a theoretical scheme to improve the precision of phase measurement using homodyne detection by implementing number-conserving operations (PA-then-PS and PS-then-PA) within the SU(1,1) interferometer, with the coherent state and the vacuum state as the input states. We analyze the effects of number-conserving operations on the phase sensitivity, the quantum Fisher information, and the quantum Cramer-Rao bound under both ideal and photon losses scenarios. Our findings reveal that the internal non-Gaussian operations can enhance the phase sensitivity and the quantum Fisher information, and effectively improve the robustness of the SU(1,1) interferometer against internal photon losses. Notably, the PS-then-PA scheme exhibits superior improvement in both ideal and photon losses cases in terms of phase sensitivity. Moreover, in the ideal case, PA-then-PS scheme slightly outperforms PS-then-PA scheme in terms of the quantum Fisher information and the Quantum Cramer-Rao. However, in the presence of photon losses, PS-then-PA scheme demonstrates a greater advantage.
format Preprint
id arxiv_https___arxiv_org_abs_2406_06528
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phase estimation via number-conserving operation inside the SU(1,1) interferometer
Kang, Qingqian
Zhao, Zekun
Zhao, Teng
Liu, Cunjin
Hu, Liyun
Quantum Physics
Utilizing nonlinear elements, SU(1,1) interferometers demonstrate superior phase sensitivity compared to passive interferometers. However, the precision is significantly impacted by photon losses, particularly internal losses. We propose a theoretical scheme to improve the precision of phase measurement using homodyne detection by implementing number-conserving operations (PA-then-PS and PS-then-PA) within the SU(1,1) interferometer, with the coherent state and the vacuum state as the input states. We analyze the effects of number-conserving operations on the phase sensitivity, the quantum Fisher information, and the quantum Cramer-Rao bound under both ideal and photon losses scenarios. Our findings reveal that the internal non-Gaussian operations can enhance the phase sensitivity and the quantum Fisher information, and effectively improve the robustness of the SU(1,1) interferometer against internal photon losses. Notably, the PS-then-PA scheme exhibits superior improvement in both ideal and photon losses cases in terms of phase sensitivity. Moreover, in the ideal case, PA-then-PS scheme slightly outperforms PS-then-PA scheme in terms of the quantum Fisher information and the Quantum Cramer-Rao. However, in the presence of photon losses, PS-then-PA scheme demonstrates a greater advantage.
title Phase estimation via number-conserving operation inside the SU(1,1) interferometer
topic Quantum Physics
url https://arxiv.org/abs/2406.06528