Quantum metrology with two-mode squeezed thermal state: Parity detection and phase sensitivity

doi:10.1088/1674-1056/25/10/104203

Abstract Based on the Wigner-function method, we investigate the parity detection and phase sensitivity in a Mach-Zehnder interferometer (MZI) with two-mode squeezed thermal state (TMSTS). Using the classical transformation relation of the MZI, we derive the input-output Wigner functions and then obtain the explicit expressions of parity and phase sensitivity. The results from the numerical calculation show that supersensitivity can be reached only if the input TMSTS have a large number photons.

Keywords: Mach-Zenhder interferometer two-mode squeezed thermal state Wigner function phase sensitivity

Received: 20 March 2016
Revised: 12 May 2016
Accepted manuscript online:

PACS:	42.50.St	(Nonclassical interferometry, subwavelength lithography)
	42.50.Dv	(Quantum state engineering and measurements)
	42.50.Lc	(Quantum fluctuations, quantum noise, and quantum jumps)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11447002), the Research Foundation of the Education Department of Jiangxi Province of China (Grant No. GJJ150338), and the Research Foundation for Changzhou Institute of Modern Optoelectronic Technology (Grant No. CZGY15).

Corresponding Authors: Heng-Mei Li
E-mail: lihengm@ustc.edu.cn

Cite this article:

Heng-Mei Li(李恒梅), Xue-Xiang Xu(徐学翔), Hong-Chun Yuan(袁洪春), Zhen Wang(王震) Quantum metrology with two-mode squeezed thermal state: Parity detection and phase sensitivity 2016 Chin. Phys. B 25 104203

[1]	Hariharan P 2003 Optical Interferometry (Amsterdam: Elsevier)
[2]	Helstrom C W 1976 Quantum Detection and Estimation Theory, Mathematics in Science and Engineering (New York: Elsevier Science)
[3]	Escher B M, de Matos Filho R L and Davidovich L 2011 Nat. Phys. 7 406
[4]	Giovannetti V, Lloyd S and Maccone L 2011 Nat. Photon. 5 222
[5]	Yurke B, McCall S L and Klauder J R 1986 Phys. Rev. A 33 4033
[6]	Boixo S, Datta A, Davis M J, Flammia S T, Shaji A and Caves C M 2008 Phys. Rev. Lett. 101 040403
[7]	Holland M J and Burnett K 1993 Phys. Rev. Lett. 71 1355
[8]	Caves C M 1981 Phys. Rev. D 23 1693
[9]	Pezzé L and Smerzi A 2008 Phys. Rev. Lett. 100 073601
[10]	Seshadreesan K P, Anisimov P M, Lee H and Dowling J P 2011 New J. Phys. 13 083026
[11]	Boto A N, Kok P, Abrams D S, et al. 2000 Phys. Rev. Lett. 85 2733
[12]	Dowling J P 2008 Contemp. Phys. 49 125
[13]	Hu L Y, Wei C P, Huang J H and Liu C J 2014 Opt. Commun. 323 68
[14]	Lee S Y, Lee C W, Nha H and Kaszlikowski D 2015 J. Opt. Soc. Am. B 32 1186
[15]	Giovannetti V, Lloyd S and Maccone L 2006 Phys. Rev. Lett. 96 010401
[16]	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
[17]	Zhang Y M, Li X W and Jin G R 2013 Chin. Phys. B 22 114206
[18]	Ekert A K and Knight P L 1991 Phys. Rev. A 43 3934
[19]	Suda M 2006 Quantum Interferometry in Phase Space (Berlin Heidelberg: Springer-Verlag)
[20]	Schleich W P 2001 Quantum Optics in Phase space (Berlin: Verlag)
[21]	Xu X X, Jia F, Hu L Y, Duan Z L, Guo Q and Ma S J 2012 J. Mod. Opt. 59 1624
[22]	Xu X X and Yuan H C 2015 Quantum Inf. Process. 14 411
[23]	Hu L Y, Wang S and Zhang Z M 2012 Chin. Phys. B 21 064207
[24]	Hu L Y, Fan H Y and Zhang Z M 2013 Chin. Phys. B 22 034202
[25]	Fan H Y, Lu H L and Fan Y 2006 Ann. Phys. 321 480
[26]	Fan H Y, Lu H L, Gao W B and Xu X F 2006 Ann. Phys. 321 2116
[27]	Meng X G, Wang J S and Liang B L 2009 Chin. Phys. B 18 1534
[28]	Meng X G, Wang Z, Fan H Y, Wang J S and Yang Z S 2012 J. Opt. Soc. Am. B 29 1844
[29]	Campos R A, Gerry C C and Benmoussa A 2003 Phys. Rev. A 68 023810

[1]	Margolus-Levitin speed limit across quantum to classical regimes based on trace distance Shao-Xiong Wu(武少雄), Chang-Shui Yu(于长水). Chin. Phys. B, 2020, 29(5): 050302.
[2]	Optical enhanced interferometry with two-mode squeezed twin-Fock states and parity detection Li-Li Hou(侯丽丽), Shuai Wang(王帅), Xue-Fen Xu(许雪芬). Chin. Phys. B, 2020, 29(3): 034203.
[3]	Quantum-classical correspondence and mechanical analysis ofa classical-quantum chaotic system Haiyun Bi(毕海云), Guoyuan Qi(齐国元), Jianbing Hu(胡建兵), Qiliang Wu(吴启亮). Chin. Phys. B, 2020, 29(2): 020502.
[4]	Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay Heng-Yun Lv(吕恒云), Ji-Suo Wang(王继锁), Xiao-Yan Zhang(张晓燕), Meng-Yan Wu(吴孟艳), Bao-Long Liang(梁宝龙), Xiang-Guo Meng(孟祥国). Chin. Phys. B, 2019, 28(9): 090302.
[5]	Quantum optical interferometry via general photon-subtracted two-mode squeezed states Li-Li Hou(侯丽丽), Jian-Zhong Xue(薛建忠), Yong-Xing Sui(眭永兴), Shuai Wang(王帅). Chin. Phys. B, 2019, 28(9): 094217.
[6]	Negativity of Wigner function and phase sensitivity of an SU(1,1) interferometer Chun-Li Liu(刘春丽), Li-Li Guo(郭丽丽), Zhi-Ming Zhang(张智明), Ya-Fei Yu(於亚飞). Chin. Phys. B, 2019, 28(6): 060704.
[7]	Quantum interferometry via a coherent state mixed with a squeezed number state Li-Li Hou(侯丽丽), Yong-Xing Sui(眭永兴), Shuai Wang(王帅), Xue-Fen Xu(许雪芬). Chin. Phys. B, 2019, 28(4): 044203.
[8]	Analytical and numerical investigations of displaced thermal state evolutions in a laser process Chuan-Xun Du(杜传勋), Xiang-Guo Meng(孟祥国), Ran Zhang(张冉), Ji-Suo Wang(王继锁). Chin. Phys. B, 2017, 26(12): 120301.
[9]	Quantum statistical properties of photon-added spin coherent states G Honarasa. Chin. Phys. B, 2017, 26(11): 114202.
[10]	Phase sensitivity of two nonlinear interferometers with inputting entangled coherent states Chao-Ping Wei(魏朝平), Xiao-Yu Hu(胡小玉), Ya-Fei Yu(於亚飞), Zhi-Ming Zhang(张智明). Chin. Phys. B, 2016, 25(4): 040601.
[11]	Algebraic and group treatments to nonlinear displaced number statesand their nonclassicality features: A new approach N Asili Firouzabadi, M K Tavassoly, M J Faghihi. Chin. Phys. B, 2015, 24(6): 064204.
[12]	Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties Xu Xue-Xiang (徐学翔), Yuan Hong-Chun (袁洪春), Wang Yan (王燕). Chin. Phys. B, 2014, 23(7): 070301.
[13]	New approach for deriving the exact time evolution of density operator for diffusive anharmonic oscillator and its Wigner distribution function Meng Xiang-Guo (孟祥国), Wang Ji-Suo (王继锁), Liang Bao-Long (梁宝龙). Chin. Phys. B, 2013, 22(3): 030307.
[14]	Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state Xu Li-Juan (徐莉娟), Tan Guo-Bin (谭国斌), Ma Shan-Jun (马善钧), Guo Qin (郭琴). Chin. Phys. B, 2013, 22(3): 030311.
[15]	New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states Hu Li-Yun (胡利云), Fan Hong-Yi (范洪义), Zhang Zhi-Ming (张智明). Chin. Phys. B, 2013, 22(3): 034202.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Quantum metrology with two-mode squeezed thermal state: Parity detection and phase sensitivity

Cite this article:

Online attention