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Chin. Phys. B, 2021, Vol. 30(9): 090304    DOI: 10.1088/1674-1056/ac0bae
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Quantum metrology with coherent superposition of two different coded channels

Dong Xie(谢东)1,†, Chunling Xu(徐春玲)1, and Anmin Wang(王安民)2
1 College of Science, Guilin University of Aerospace Technology, Guilin 541004, China;
2 Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
Abstract  We investigate the advantage of coherent superposition of two different coded channels in quantum metrology. In a continuous variable system, we show that the Heisenberg limit 1/N can be beaten by the coherent superposition without the help of indefinite causal order. And in parameter estimation, we demonstrate that the strategy with the coherent superposition can perform better than the strategy with quantum switch which can generate indefinite causal order. We analytically obtain the general form of estimation precision in terms of the quantum Fisher information and further prove that the nonlinear Hamiltonian can improve the estimation precision and make the measurement uncertainty scale as 1/Nm for m≥2. Our results can help to construct a high-precision measurement equipment, which can be applied to the detection of coupling strength and the test of time dilation and the modification of the canonical commutation relation.
Keywords:  quantum metrology      quantum switch      quantum Fisher information      coherent superposition  
Received:  14 April 2021      Revised:  23 May 2021      Accepted manuscript online:  16 June 2021
PACS:  03.67.-a (Quantum information)  
  06.20.-f (Metrology)  
  03.65.Aa (Quantum systems with finite Hilbert space)  
  03.65.-w (Quantum mechanics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62001134), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2020GXNSFAA159047), and the National Key Research and Development Program of China (Grant No. 2018YFB1601402-2).
Corresponding Authors:  Dong Xie     E-mail:  xiedong@mail.ustc.edu.cn

Cite this article: 

Dong Xie(谢东), Chunling Xu(徐春玲), and Anmin Wang(王安民) Quantum metrology with coherent superposition of two different coded channels 2021 Chin. Phys. B 30 090304

[1] Giovanetti V, Lloyd S and Maccone L 2004 Science 306 1330
[2] Giovanetti V, Lloyd S and Maccone L 2006 Phys. Rev. Lett. 96 010401
[3] Paris M G A 2009 Int. J. Quantum. Inf. 7 125
[4] Taylor M A, Janousek J, Daria V, Knittel J, Hage B, Bachor H A and Bowen W P 2013 Nat. Photon. 7 229
[5] Slussarenko S, Weston M M, Chrzanowski H M, Shalm L K, Verma V B, Nam S W and Pryde G J 2017 Nat. Photon. 11 700
[6] Xie D, Sun F X and Xu C L 2020 Phys. Rev. A 101 063844
[7] Xu L and Tan Q S 2018 Chin. Phys. B 27 014203
[8] Xiang G Y and Guo G C 2013 Chin. Phys. B 22 110601
[9] Zhang L J and Xiao M 2013 Chin. Phys. B 22 110310
[10] Giovannetti V and Maccone L 2012 Phys. Rev. Lett. 108 210404
[11] Chiribella G 2012 Phys. Rev. A 86 040301
[12] Araújo M, Costa F and Brukner Č 2014 Phys. Rev. Lett. 113 250402
[13] Procopio L M, Moqanaki A, Araújo M, Costa F, Calafell I A, Dowd E G, Hamel D R, Rozema L A, Brukner Č and Walther P 2015 Nat. Commun. 6 7913
[14] Rubino G, Rozema L A, Feix A, Araújo M, Zeuner J M, Procopio L M, Brukner Č and Walther P 2017 Sci. Adv. 3 e1602589
[15] Guo Y, Hu X M, Hou Z B, Cao H, Cui J M, Liu B H, Huang Y F, Li C F, Guo G C and Chiribella G 2020 Phys. Rev. Lett. 124 030502
[16] Mukhopadhyay C, Gupta M K and Pati A K 2018 arXiv: 1812. 07508
[17] Frey M 2019 Quantum Inf. Process. 18 96
[18] Zhao X, Yang Y and Chiribella G 2020 Phys. Rev. Lett. 124 190503
[19] Abbott A A, Wechs J, Horsman D, Mhalla M and Branciard C 2020 Quantum 4 333
[20] Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic)
[21] Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam: North Holland)
[22] Cramér H 1999 Mathematical Methods of Statistics (Princeton: Princeton University Press)
[23] Rao C R 1992 Breakthroughs in Statistics (New York: Springer)
[24] Ibarcq P C, Eickbusch A, Touzard S, Geller E Z, Frattini N, Sivak V, Reinhold P, Puri S, Shankar S and Schoelkopfetal R 2020 Nature 584 368
[25] Flühmann C, Negnevitsky V, Marinelli M and Home J P 2018 Phys. Rev. X 8 021001
[26] Lv D, An S, Liu Z, Zhang J N, Pedernales J S, Lamata L, Solano E and Kim K 2018 Phys. Rev. X 8 021027
[27] Aspelmeyer M, Kippenberg T J and Marquardt F 2014 Rev. Mod. Phys. 86 1391
[28] Sanavio C, Bernád J Z and Xuereb A 2020 Phys. Rev. A 102 013508
[29] Park K, Marek P and Filip R 2014 Phys. Rev. A 90 013804
[30] Wiseman H and Milburn G 2010 quantum measurement and control (New York: Cambridge University Press)
[31] Girvin S M, Devoret M H and Schoelkopf R J 2009 Phys. Scr. 2009 014012
[32] You J Q and Nori F 2011 Nature 474 589
[33] Lépez Vázquez P C 2018 Phys. Rev. A 98 042128
[34] Park K, Marek P and Filip R 2014 Phys. Rev. A 90 013804
[35] Ramakrishnan S, Gulak Y and Benaroya H 2008 Phys. Rev. B 78 174304
[36] Pikovski I, Zych M, Costa F and Brukner Č 2015 Nat. Phys. 11 668
[37] Paige A J, Plato A D K and Kim M S 2020 Phys. Rev. Lett. 124 160602
[38] Kempf A, Mangano G and Mann R B 1995 Phys. Rev. D 52 1108
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[1] XU XIAO-JUN, FANG JUN, CAO XIAO-WEN, LI KE-BIN. ANISOTROPY OF CRITICAL CURRENT DENSITY IN c-AXIS ORIENTED EPITAXIAL YBa2Cu3O7-δ FILMS[J]. Acta Phys. Sin. (Overseas Edition), 1995, 4(6): 441 -447 .
[2] WU JIN-WEI, GUO GUANG-CAN. SUPERPOSITION OF COHERENT STATES IN KERR MEDIUM[J]. Acta Phys. Sin. (Overseas Edition), 1996, 5(10): 764 -768 .
[3] FENG CHUN-MU, GE HONG-LIANG, YU GAO-XIANG, ZHANG QI-RUI. ELECTRICAL TRANSPORT BEHAVIOR OF AN Au DIFFUSE FRINGE FILM PERCOLATION SYSTEM[J]. Acta Phys. Sin. (Overseas Edition), 1996, 5(7): 538 -543 .
[4] Yang Shu-Zheng, Lin Li-Bin. The quantum nonthermal effect of a nonstationary Kerr-Newman black hole and the average range of the effective particles[J]. Chin. Phys., 2002, 11(6): 619 -623 .
[5] Liu Xiang-Rong, Cao Chong-De, Wei Bing-Bo. Rapid eutectic growth in undercooled Al-Ge alloy under free fall condition[J]. Chin. Phys., 2003, 12(11): 1266 -1271 .
[6] Fang Tong-Zhen, Jiang Nan, Wang Long. Calculation of ion energy distributions of argon excimer ions generated in helicon plasma[J]. Chin. Phys., 2005, 14(11): 2256 -2261 .
[7] Shi Hong-Yan, Jiang Yong-Yuan, Sun Xiu-Dong, Guo Ru-Hai, Zhao Yi-Ping. Intrinsic optical bistability between left-handed material and nonlinear optical materials[J]. Chin. Phys., 2005, 14(8): 1571 -1577 .
[8] Chen Yu, Han An-Jia, Ke Jian-Hong, Lin Zhen-Quan. Aggregation processes with catalysis-driven monomer birth/death[J]. Chin. Phys., 2006, 15(8): 1896 -1902 .
[9] Li Cheng-Yue, J. P. Allain, Deng Bai-Quan. Effects of a liquid lithium curtain as the first wall in a fusion reactor plasma[J]. Chin. Phys., 2007, 16(11): 3312 -3318 .
[10] Jiang Yong-Yuan, Shi Hong-Yan, Zhang Yong-Qiang, Hou Chun-Feng, Sun Xiu-Dong. Characteristics of surface waves in anisotropic left-handed materials[J]. Chin. Phys., 2007, 16(7): 1959 -1962 .