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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 |
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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.
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Received: 02 September 2024
Revised: 22 October 2024
Accepted manuscript online: 01 November 2024
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PACS:
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03.67.-a
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(Quantum information)
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42.50.-p
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(Quantum optics)
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42.50.Dv
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(Quantum state engineering and measurements)
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| Fund: 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). |
Corresponding Authors:
Jian-Dong Zhang
E-mail: zhangjiandong@jsut.edu.cn
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Cite this article:
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 2025 Chin. Phys. B 34 010304
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[1] Braunstein S L and Caves C M 1994 Phys. Rev. Lett. 72 3439
[2] Liu J, Yuan H, Lu X M and Wang X 2019 J. Phys. A: Math. Theor. 53 023001
[3] Anisimov P M, Raterman G M, Chiruvelli A, Plick W N, Huver S D, Lee H and Dowling J P 2010 Phys. Rev. Lett. 104 103602
[4] Nielsen J A H, Neergaard-Nielsen J S, Gehring T and Andersen U L 2023 Phys. Rev. Lett. 130 123603
[5] Qin J, Deng Y H, Zhong H S, Peng L C, Su H, Luo Y H, Xu J M, Wu D, Gong S Q, Liu H L,Wang H, Chen M C, Li L, Liu N L, Lu C Y and Pan J W 2023 Phys. Rev. Lett. 130 070801
[6] Guo Y F, Zhong W, Zhou L and Sheng Y B 2022 Phys. Rev. A 105 032609
[7] Dowling J P 2008 Contemp. Phys. 49 125
[8] Israel Y, Rosen S and Silberberg Y 2014 Phys. Rev. Lett. 112 103604
[9] Joo J, Munro W J and Spiller T P 2011 Phys. Rev. Lett. 107 083601
[10] Lee S Y, Ihn Y S and Kim Z 2020 Phys. Rev. A 101 012332
[11] Pezzé L and Smerzi A 2008 Phys. Rev. Lett. 100 073601
[12] Zhang J D and Wang S 2023 Phys. Rev. A 107 043704
[13] Liu J, Shao T, Li C, Zhang M, Hu Y, Chen D and Wei D 2024 Chin. Phys. B 33 014203
[14] PlickWN, Dowling J P and Agarwal G S 2010 New J. Phys. 12 083014
[15] Chekhova M V and Ou Z Y 2016 Adv. Opt. Photon. 8 104
[16] Ou Z Y and Li X 2020 APL Photon. 5 080902
[17] You C, Adhikari S, Ma X, Sasaki M, Takeoka M and Dowling J P 2019 Phys. Rev. A 99 042122
[18] Xu Y, Chang S, Liu C, Hu L and Liu S 2022 Opt. Express 30 38178
[19] Chang S, Ye W, Zhang H, Hu L, Huang J and Liu S 2022 Phys. Rev. A 105 033704
[20] Xu Y, Zhao T, Kang Q, Liu C, Hu L and Liu S 2023 Opt. Express 31 8414
[21] Liu J, Shao T, Wang Y, Zhang M, Hu Y, Chen D and Wei D 2023 Opt. Express 31 27735
[22] Liu M, Zhang L and Miao H 2023 New J. Phys. 25 103051
[23] Wang S, Zhang J and Xu X 2022 Opt. Commun. 505 127592
[24] Wong W C and Li J 2023 New J. Phys. 25 033018
[25] Zuo X, Yan Z, Feng Y, Ma J, Jia X, Xie C and Peng K 2020 Phys. Rev. Lett. 124 173602
[26] Du W, Kong J, Bao G, Yang P, Jia J, Ming S, Yuan C H, Chen J F, Ou Z Y, Mitchell M W and Zhang W 2022 Phys. Rev. Lett. 128 033601
[27] Kong J, Ou Z Y and Zhang W 2013 Phys. Rev. A 87 023825
[28] Zhang J D, Jin C F, Zhang Z J, Cen L Z, Hu J Y and Zhao Y 2018 Opt. Express 26 33080
[29] Zhang J D, You C, Li C and Wang S 2021 Phys. Rev. A 103 032617
[30] Lang M D and Caves C M 2013 Phys. Rev. Lett. 111 173601
[31] Zhang J D, You C and Wang S 2022 Opt. Express 30 43143
[32] Sparaciari C, Olivares S and Paris M G A 2015 J. Opt. Soc. Am. B 32 1354
[33] Weedbrook C, Pirandola S, García-Patrón R, Cerf N J, Ralph T C, Shapiro J H and Lloyd S 2012 Rev. Mod. Phys. 84 621
[34] Monras A and Paris M G A 2007 Phys. Rev. Lett. 98 160401
[35] Li D, Gard B T, Gao Y, Yuan C H, Zhang W, Lee H and Dowling J P 2016 Phys. Rev. A 94 063840
[36] Gao Y and Lee H 2014 Eur. Phys. J. D 68 347
[37] Agafonov I N, Chekhova M V and Leuchs G 2010 Phys. Rev. A 82 011801
[38] Zhang J D and Wang S 2023 Chin. Phys. B 32 010306
[39] Sparaciari C, Olivares S and Paris M G A 2016 Phys. Rev. A 93 023810
[40] Ono T and Hofmann H F 2010 Phys. Rev. A 81 033819
[41] Gard B T, You C, Mishra D K, Singh R, Lee H, Corbitt T R and Dowling J P 2017 EPJ Quantum Technol. 4 4 |
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