Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states

doi:10.1088/1674-1056/ad8dc0

中国物理B ›› 2025, Vol. 34 ›› Issue (1): 10304-010304.doi: 10.1088/1674-1056/ad8dc0

Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states

Jian-Dong Zhang(张建东)^1†, Chuang Li(李闯)², Lili Hou(侯丽丽)¹, and Shuai Wang(王帅)¹

1 School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China;
2 Research Center for Novel Computing Sensing and Intelligent Processing, Zhejiang Laboratory, Hangzhou 311121, China

收稿日期:2024-09-02 修回日期:2024-10-22 接受日期:2024-11-01 发布日期:2024-12-24
通讯作者: Jian-Dong Zhang E-mail:zhangjiandong@jsut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12104193) and the Program of Zhongwu Young Innovative Talents of Jiangsu University of Technology (Grant No. 20230013).

Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states

Jian-Dong Zhang(张建东)^1†, Chuang Li(李闯)², Lili Hou(侯丽丽)¹, and Shuai Wang(王帅)¹

1 School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China;
2 Research Center for Novel Computing Sensing and Intelligent Processing, Zhejiang Laboratory, Hangzhou 311121, China

Received:2024-09-02 Revised:2024-10-22 Accepted:2024-11-01 Published:2024-12-24
Contact: Jian-Dong Zhang E-mail:zhangjiandong@jsut.edu.cn
About author:2025-010304-241268.pdf
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12104193) and the Program of Zhongwu Young Innovative Talents of Jiangsu University of Technology (Grant No. 20230013).

摘要/Abstract

摘要： Quantum phase estimation based on Gaussian states plays a crucial role in many application fields. In this paper, we study the precision bound for the scheme using two-mode squeezed Gaussian states. The quantum Fisher information is calculated and its maximization is used to determine the optimal parameters. We find that two single-mode squeezed vacuum states are the optimal Gaussian inputs for a fixed two-mode squeezing process. The corresponding precision bound is sub-Heisenberg-limited and scales as $N^{-1}$/2. For practical purposes, we consider the effects originating from photon loss. The precision bound can still outperform the shot-noise limit when the lossy rate is below 0.4. Our work may demonstrate a significant and promising step towards practical quantum metrology.

关键词: quantum metrology, Gaussian state, Heisenberg limit}

Abstract: Quantum phase estimation based on Gaussian states plays a crucial role in many application fields. In this paper, we study the precision bound for the scheme using two-mode squeezed Gaussian states. The quantum Fisher information is calculated and its maximization is used to determine the optimal parameters. We find that two single-mode squeezed vacuum states are the optimal Gaussian inputs for a fixed two-mode squeezing process. The corresponding precision bound is sub-Heisenberg-limited and scales as $N^{-1}$/2. For practical purposes, we consider the effects originating from photon loss. The precision bound can still outperform the shot-noise limit when the lossy rate is below 0.4. Our work may demonstrate a significant and promising step towards practical quantum metrology.

Key words: quantum metrology, Gaussian state, Heisenberg limit}

中图分类号: (Quantum information)

03.67.-a

42.50.-p (Quantum optics) 42.50.Dv (Quantum state engineering and measurements)

Jian-Dong Zhang(张建东), Chuang Li(李闯), Lili Hou(侯丽丽), and Shuai Wang(王帅). Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states[J]. 中国物理B, 2025, 34(1): 10304-010304.

Jian-Dong Zhang(张建东), Chuang Li(李闯), Lili Hou(侯丽丽), and Shuai Wang(王帅). Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states[J]. Chin. Phys. B, 2025, 34(1): 10304-010304.

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Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states

Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states

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