|
|
Environmental parameter estimation with the two-level atom probes |
Mengmeng Luo(罗萌萌)1, Wenxiao Liu(刘文晓)2, Yuetao Chen(陈悦涛)1, Shangbin Han(韩尚斌)1, and Shaoyan Gao(高韶燕)1,† |
1 MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China; 2 Department of Physics and Electronics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China |
|
|
Abstract A novel scheme is proposed to estimate three environmental parameters, the detuning, the temperature and the squeezing strength with one-qubit or two-qubit probes. Quantum Fisher information and the fidelity of the atom probes are calculated. When the detuning between the frequency of cavity field and the atomic transition frequency is estimated, the dynamics of quantum Fisher information shows oscillatory and rising behaviors. To estimate the temperature of the thermal reservoir, the one-qubit probe with the superposition initial state is more favorable than the two-qubit probe with the entangled initial state. When the squeezing strength of the squeezed vacuum reservoir is estimated, we find that the estimation precision is significantly improved by utilizing the two-qubit probe with the maximal entangled initial state. Our work provides a potential application in the open quantum system and quantum information processing.
|
Received: 16 August 2021
Revised: 29 October 2021
Accepted manuscript online:
|
PACS:
|
03.67.-a
|
(Quantum information)
|
|
06.20.-f
|
(Metrology)
|
|
42.50.Pq
|
(Cavity quantum electrodynamics; micromasers)
|
|
03.65.Ud
|
(Entanglement and quantum nonlocality)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.91536115 and 11534008) and Natural Science Foundation of Shaanxi Province,China (Grant No.2016JM1005). |
Corresponding Authors:
Shaoyan Gao,E-mail:gaosy@xjtu.edu.cn
E-mail: gaosy@xjtu.edu.cn
|
About author: 2021-11-4 |
Cite this article:
Mengmeng Luo(罗萌萌), Wenxiao Liu(刘文晓), Yuetao Chen(陈悦涛), Shangbin Han(韩尚斌), and Shaoyan Gao(高韶燕) Environmental parameter estimation with the two-level atom probes 2022 Chin. Phys. B 31 050304
|
[1] Geononi M G, Olivares S and Paris M G A 2011 Phys. Rev. Lett. 106 153603 [2] Demkowicz-Dobrzański R 2011 Phys. Rev. A 83 061802(R) [3] Chwedeńczuk J, Piazza F and Smerzi A 2011 New J. Phys. 13 065023 [4] Pinel O, Jian P, Treps N, Fabre C and Braun A D 2013 Phys. Rev. A 88 040102(R) [5] Zhang L J and Xiao M 2013 Chin. Phys. B 22 110310 [6] Xiang G Y and Guo G C 2013 Chin. Phys. B 22 110601 [7] Yao Y, Ge L, Xiao X, Wang X G and Sun C P 2014 Phys. Rev. A 90 022327 [8] He Z and Yao C M 2014 Chin. Phys. B 23 110601 [9] Li Y L, Xiao X and Yao Y 2015 Phys. Rev. A 91 052105 [10] Chapeau-Blondeau F 2015 Phys. Rev. A 91 052310 [11] Berni A A, Gehring T, Nielsen B M, Händchen V, Paris M G A and Andersen U L 2015 Nat. Photon. 9 577 [12] Gillard N, Belin E and Chapeau-Blondeau F 2017 Phys. Lett. A 381 2621 [13] Metwally N and Hassan S S 2017 Laser Phys. Lett. 14 115204 [14] Gagatsos C N, Bash B A, Guha S and Datta A 2017 Phys. Rev. A 96 062306 [15] Yang Y, Liu X B, Wang J C and Jing J L 2018 Quantum. Inf. Process. 17 54 [16] Yu X, Zhao X, Shen L Y, Shao Y Y, Liu J and Wang X G 2018 Opt. Express 26 16292 [17] Jing X X, Liu J, Xiong H N and Wang X G 2015 Phys. Rev. A 92 012312 [18] Berrada K 2016 Quantum. Inf. Process. 15 4897 [19] Górecka A, Pollock F A, Liuzzo-Scorpo P, Nichols R, Adesso G and Modi K 2018 New J. Phys. 20 083008 [20] Feng X N and Wei L F 2017 Sci. Rep. 7 15492 [21] Pezzé L and Smerzi A 2009 Phys. Rev. Lett. 102 100401 [22] Ren Z H, Li Y, Li Y N and Li W D 2019 Acta. Phys. Sin. 68 040601 (in Chinese) [23] Taylor M A and Bowen W P 2016 Phys. Rep. 615 1 [24] Giowannetti V, Lloyd S and Maccone L 2006 Phys. Rev. Lett. 96 010401 [25] Demkowicz-Dobrzański R and Maccone L 2014 Phys. Rev. Lett. 113 250801 [26] Huelga S F, Macchiavello C, Pellizzari T, Ekert A K, Plenio M B and Cirac J I 1997 Phys. Rev. Lett. 79 3865 [27] Kacprowicz M, Demkowicz-Dobrzański R, Wasilewski W, Banaszek K and Walmsley I A 2010 Nat. Photon. 4 357 [28] Chaves R, Brask J B, Markiewicz M, Kolodyński J and Acín A 2013 Phys. Rev. Lett. 111 120401 [29] Dinani H T and Berry D W 2014 Phys. Rev. A 90 023856 [30] Hyllus P, Gühne O and Smerzi A 2010 Phys. Rev. A 82 012337 [31] Sahota J and Quesada N 2015 Phys. Rev. A 91 013808 [32] Huang J, Guo Y N and Xie Q 2016 Chin. Phys. B 25 020303 [33] Yan K, Xie Y Q, Huang Y M and Hao X 2017 Commun. Theor. Phys. 67 261 [34] Lin D P, Liu Y and Zou H M 2018 Chin. Phys. B 27 110303 [35] Ji Y H, Ke Q and Hu J J 2020 Chin. Phys. B 29 120303 [36] Gammelmark S and Mølmer K 2014 Phys. Rev. Lett. 112 170401 [37] Kiilerich A H and Mølmer K 2015 Phys. Rev. A 91 012119 [38] Dinani H T, Gupta M K, Dowling J P and Berry D W 2016 Phys. Rev. A 93 063804 [39] Mogilevtsev D, Garusov E, Korolkov M V, Shatokhin V N and Cavalcanti S B 2018 Phys. Rev. A 98 042116 [40] Guo L S, Xu B M, Zou J and Shao B 2015 Phys. Rev. A 92 052112 [41] Farajollahi B, Jafarzadeh M, Rangani Jahromi H and Amniat-Talab M 2018 Quantum. Inf. Process. 17 119 [42] Zhao Z X, Pan Q Y and Jing J L 2020 Phys. Rev. D 101 056014 [43] Xie D, Xu C L and Wang A M 2017 Quantum. Inf. Process. 16 155 [44] Razavian S, Benedetti C, Bina M, Akbari-Kourbolagh Y and Paris M G A 2019 Eur. Phys. J. Plus 134 284 [45] Zhu W L, Wu W and Luo H G 2020 Chin. Phys. B 29 020501 [46] Rangani Jahromi H 2020 Phys. Scr. 95 035107 [47] Gebbia F, Benedetti C, Benatti F, Floreanini R, Bina M and Paris M G A 2020 Phys. Rev. A 101 032112 [48] Srikanth R and Banerjee S 2008 Phys. Rev. A 77 012318 [49] 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 [50] Zhang X X, Yang Y X and Wang X B 2013 Phys. Rev. A 88 013838 [51] Szigeti S S, Tonekaboni B, Lau W Y S, Hood S N and Haine S A 2014 Phys. Rev. A 90 063630 [52] Wu S X, Yu C S and Song H S 2015 Phys. Lett. A 379 1228 [53] Liu P, Wang P, Yang W, Jin G R and Sun C P 2017 Phys. Rev. A 95 023824 [54] Milburn G J, Chen W Y and Jones K R 1994 Phys. Rev. A 50 801 [55] Chiribella G, D'Ariano G M and Sacchi M F 2006 Phys. Rev. A 73 062103 [56] Gaiba R and Paris M G A 2009 Phys. Lett. A 373 934 [57] Genoni M G, Invernizzi C and Paris M G A 2009 Phys. Rev. A 80 033842 [58] šafránek D, Lee A R and Fuentes I 2015 New J. Phys. 17 073016 [59] šafránek D and Fuentes I 2016 Phys. Rev. A 94 062313 [60] Rigovacca L, Farace A, Souza L, De Pasquale A, Giovannetti V and Adesso G 2017 Phys. Rev. A 95 052331 [61] Predko A, Albarelli F and Serafini A 2020 Phys. Lett. A 384 126268 [62] Purcell E M, Bloembergen N and Pound R V 1946 Phys. Rev. 70 988 [63] Helstron C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press) [64] Holevo A S 1982 Probabilistic and statistical aspects of quantum theory (Amsterdam: North Holland) [65] Zhong W, Sun Z, Ma J, Wang X G and Nori F 2013 Phys. Rev. A 87 022337 [66] Jozsa R 1994 J. Mod. Opt. 41 2315 [67] Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press) [68] Zhu C J, Ping L L, Yang Y P and Agarwal G S 2020 Phys. Rev. Lett. 124 073602 [69] Ikram M, Li F L and Zubairy M S 2007 Phys. Rev. A 75 062336 [70] Aharonov Y, Massar S and Popescu S 2002 Phys. Rev. A 66 052107 [71] Liao X P, Fang M F and Zhou X 2017 Quantum. Inf. Process. 16 241 |
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|