Tolerance-enhanced SU(1,1) interferometers using asymmetric gain
doi: 10.1088/1674-1056/ac981d
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Abstract: SU(1,1) interferometers play an important role in quantum metrology. Previous studies focus on various inputs and detection strategies with symmetric gain. In this paper, we analyze a modified SU(1,1) interferometer using asymmetric gain. Two vacuum states are used as the input and on–off detection is performed at the output. In a lossless scenario, symmetric gain is the optimal selection and the corresponding phase sensitivity can achieve the Heisenberg limit as well as the quantum Cramer–Rao bound. In addition, we analyze the phase sensitivity with symmetric gain in the lossy scenario. The phase sensitivity is sensitive to internal losses but extremely robust against external losses. We address the optimal asymmetric gain and the results suggest that this method can improve the tolerance to internal losses. Our work may contribute to the practical development of quantum metrology.
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Key words:
- SU(1,1) interferometer /
- asymmetric gain /
- Heisenberg limit /
- quantum Cramer-Rao bound
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Fig. 1. Schematic of estimation scheme based on a modified SU(1,1) interferometer. OPA, optical parametric amplifier; D, detector.
Fig. 2. Maximally tolerable lossy rate L max against gain parameter g in the presence of internal losses.
Fig. 3. Maximally tolerable lossy rate L max against gain parameter g in the presence of external losses.
Fig. 4. The optimal asymmetric gain differences g 2 – g 1 against the gain parameter g 1 with different lossy rates.
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[1] Taylor M A, Bowen W P 2016 Phys. Reports 615 1 10.1016/j.physrep.2015.12.002 doi: 10.1016/j.physrep.2015.12.002 [2] Wu C, Fu H Y, Qureshi K K, Guan B O, Tam H Y 2011 Opt. Lett. 36 412 10.1364/OL.36.000412 doi: 10.1364/OL.36.000412 [3] Lu P, Men L, Sooley K, Chen Q 2009 Appl. Phys. Lett. 94 131110 10.1063/1.3115029 doi: 10.1063/1.3115029 [4] Yeh Y L 2008 Opt. Lasers Eng. 46 666 10.1016/j.optlaseng.2008.04.008 doi: 10.1016/j.optlaseng.2008.04.008 [5] Costa G K B, Gouvea P M P, Soares L M B, Pereira J M B, Favero F, Braga A M B, Palffy-Muhoray P, Bruno A C, Carvalho I C S 2016 Opt. Express 24 14690 10.1364/OE.24.014690 doi: 10.1364/OE.24.014690 [6] Yurke B, McCall S L, Klauder J R 1986 Phys. Rev.A 33 4033 10.1103/PhysRevA.33.4033 doi: 10.1103/PhysRevA.33.4033 [7] Jing J, Liu C, Zhou Z, Ou Z Y, Zhang W 2011 Appl. Phys. Lett. 99 011110 10.1063/1.3606549 doi: 10.1063/1.3606549 [8] Plick W N, Dowling J P, Agarwal G S 2010 New J. Phys. 12 083014 10.1088/1367-2630/12/8/083014 doi: 10.1088/1367-2630/12/8/083014 [9] Marino A M, Corzo Trejo N V, Lett P D 2012 Phys. Rev.A 86 023844 10.1103/PhysRevA.86.023844 doi: 10.1103/PhysRevA.86.023844 [10] Xin J, Lu X M, Li X, Li G 2019 J. Opt. Soc. Am.B 36 2824 10.1364/JOSAB.36.002824 doi: 10.1364/JOSAB.36.002824 [11] Ou Z Y 2012 Phys. Rev.A 85 023815 10.1103/PhysRevA.85.023815 doi: 10.1103/PhysRevA.85.023815 [12] Li D, Yuan C H, Ou Z Y, Zhang W 2014 New J. Phys. 16 073020 10.1088/1367-2630/16/7/073020 doi: 10.1088/1367-2630/16/7/073020 [13] Li D, Gard B T, Gao Y, Yuan C H, Zhang W, Lee H, Dowling J P 2016 Phys. Rev.A 94 063840 10.1103/PhysRevA.94.063840 doi: 10.1103/PhysRevA.94.063840 [14] Liu C L, Guo L L, Zhang Z M, Yu Y F 2016 Chin. Phys.B 25 104203 10.1088/1674-1056/25/10/104203 doi: 10.1088/1674-1056/25/10/104203 [15] Ma X, You C, Adhikari S, Matekole E S, Glasser R T, Lee H, Dowling J P 2018 Opt. Express 26 18492 10.1364/OE.26.018492 doi: 10.1364/OE.26.018492 [16] Guo L L, Yu Y F, Zhang Z M 2018 Opt. Express 26 29099 10.1364/OE.26.029099 doi: 10.1364/OE.26.029099 [17] Adhikari S, Bhusal N, You C, Lee H, Dowling J P 2018 OSA Continuum 1 438 10.1364/OSAC.1.000438 doi: 10.1364/OSAC.1.000438 [18] Du W, Jia J, Chen J F, Ou Z Y, Zhang W 2018 Opt. Lett. 43 1051 10.1364/OL.43.001051 doi: 10.1364/OL.43.001051 [19] Kong J, Jing J, Wang H, Hudelist F, Liu C, Zhang W 2013 Appl. Phys. Lett. 102 011130 10.1063/1.4774380 doi: 10.1063/1.4774380 [20] Hudelist F, Kong J, Liu C, Jing J, Ou Z, Zhang W 2014 Nat. Commun. 5 3049 10.1038/ncomms4049 doi: 10.1038/ncomms4049 [21] Liu S, Lou Y, Xin J, Jing J 2018 Phys. Rev. Appl. 10 064046 10.1103/PhysRevApplied.10.064046 doi: 10.1103/PhysRevApplied.10.064046 [22] Szigeti S S, Lewis-Swan R J, Haine S A 2017 Phys. Rev. Lett. 118 150401 10.1103/PhysRevLett.118.150401 doi: 10.1103/PhysRevLett.118.150401 [23] Anderson B E, Gupta P, Schmittberger B L, Horrom T, Hermann-Avigliano C, Jones K M, Lett P D 2017 Optica 4 752 10.1364/OPTICA.4.000752 doi: 10.1364/OPTICA.4.000752 [24] Anderson B E, Schmittberger B L, Gupta P, Jones K M, Lett P D 2017 Phys. Rev.A 95 063843 10.1103/PhysRevA.95.063843 doi: 10.1103/PhysRevA.95.063843 [25] Gupta P, Schmittberger B L, Anderson B E, Jones K M, Lett P D 2018 Opt. Express 26 391 10.1364/OE.26.000391 doi: 10.1364/OE.26.000391 [26] Manceau M, Leuchs G, Khalili K, Chekhova M 2017 Phys. Rev. Lett. 119 223604 10.1103/PhysRevLett.119.223604 doi: 10.1103/PhysRevLett.119.223604 [27] Liu J, Wang Y, Zhang M, Wang J, Wei D, Gao H 2020 Opt. Express 28 39443 10.1364/OE.413179 doi: 10.1364/OE.413179 [28] Kong J, Ou Z Y, Zhang W P 2013 Phys. Rev.A 87 023825 10.1103/PhysRevA.87.023825 doi: 10.1103/PhysRevA.87.023825 [29] Zhang J D, Jin C F, Zhang Z J, Cen L Z, Hu J Y, Zhao Y 2018 Opt. Express 26 33080 10.1364/OE.26.033080 doi: 10.1364/OE.26.033080 [30] Zhang J D, You C, Li C, Wang S 2021 Phys. Rev.A 103 032617 10.1103/PhysRevA.103.032617 doi: 10.1103/PhysRevA.103.032617 [31] Du W, Kong J, Bao G, Yang P, Jia J, Ming S, Yuan C, Chen J F, Ou Z Y, Mitchell M W, Zhang W 2022 Phys. Rev. Lett. 128 033601 10.1103/PhysRevLett.128.033601 doi: 10.1103/PhysRevLett.128.033601 [32] Ou Z Y, Li X 2020 APL Photonics 5 080902 10.1063/5.0004873 doi: 10.1063/5.0004873 [33] Gong Q K, Li D, Yuan C H, Qu Z Y, Zhang W P 2017 Chin. Phys.B 26 094205 10.1088/1674-1056/26/9/094205 doi: 10.1088/1674-1056/26/9/094205 [34] Weedbrook C, Pirandola S, Garcia-Patron R, Cerf N J, Ralph T C, Shapiro J H, Lloyd S 2012 Rev. Mod. Phys. 84 621 10.1103/RevModPhys.84.621 doi: 10.1103/RevModPhys.84.621 [35] Takeoka M, Jin R B, Sasaki M 2015 New J. Phys. 17 043030 10.1088/1367-2630/17/4/043030 doi: 10.1088/1367-2630/17/4/043030 [36] Meng X, Wang J, Liang B, Han C 2018 Front. Phys. 13 130322 10.1007/s11467-018-0856-1 doi: 10.1007/s11467-018-0856-1 -
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