Quantum-enhanced stochastic phase estimation with the SU(1,1) interferometer

Kaimin Zheng; Minghao Mi; Ben Wang; Liang Xu; Liyun Hu; Shengshuai Liu; Yanbo Lou; Jietai Jing; Lijian Zhang

doi:10.1364/PRJ.395682

Photonics Research, Volume. 8, Issue 10, 1653(2020)

Quantum-enhanced stochastic phase estimation with the SU(1,1) interferometer

Kaimin Zheng^1、†, Minghao Mi^1、†, Ben Wang¹, Liang Xu¹, Liyun Hu², Shengshuai Liu³, Yanbo Lou³, Jietai Jing^3,4,5、*, and Lijian Zhang^1,6、*

Author Affiliations

¹National Laboratory of Solid State Microstructures, Key Laboratory of Intelligent Optical Sensing and Manipulation, College of Engineering and Applied Sciences, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

²Center for Quantum Science and Technology, Jiangxi Normal University, Nanchang 330022, China

³State Key Laboratory of Precision Spectroscopy, Joint Institute of Advanced Science and Technology, School of Physics and Electronic Science, East China Normal University, Shanghai 200062, China

⁴Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

⁵e-mail: jtjing@phy.ecnu.edu.cn

⁶e-mail: lijian.zhang@nju.edu.cn

show less

References(47)

[1] M. A. Taylor, J. Janousek, V. Daria, J. Knittel, B. Hage, H.-A. Bachor, W. P. Bowen. Biological measurement beyond the quantum limit. Nat. Photonics, 7, 229-233(2013).

[2] T. Ono, R. Okamoto, S. Takeuchi. An entanglement-enhanced microscope. Nat. Commun., 4, 2426(2013).

[3] G. Brida, M. Genovese, I. R. Berchera. Experimental realization of sub-shot-noise quantum imaging. Nat. Photonics, 4, 227-230(2010).

[4] S. Pirandola, B. R. Bardhan, T. Gehring, C. Weedbrook, S. Lloyd. Advances in photonic quantum sensing. Nat. Photonics, 12, 724-733(2018).

[5] C. Degen, F. Reinhard, P. Cappellaro. Quantum sensing. Rev. Mod. Phys., 89, 035002(2017).

[6] C. Bonato, M. S. Blok, H. T. Dinani, D. W. Berry, M. L. Markham, D. J. Twitchen, R. Hanson. Optimized quantum sensing with a single electron spin using real-time adaptive measurements. Nat. Nanotechnol., 11, 247-252(2015).

[7] G. M. D’Ariano, M. G. A. Paris. Arbitrary precision in multipath interferometry. Phys. Rev. A, 55, 2267-2271(1997).

[8] R. X. Adhikari. Gravitational radiation detection with laser interferometry. Rev. Mod. Phys., 86, 121-151(2014).

[9] Y. Ma, H. Miao, B. H. Pang, M. Evans, C. Zhao, J. Harms, R. Schnabel, Y. Chen. Proposal for gravitational-wave detection beyond the standard quantum limit through EPR entanglement. Nat. Phys., 13, 776-780(2017).

[10] L. Pezzé, A. Smerzi. Mach-Zehnder interferometry at the Heisenberg limit with coherent and squeezed-vacuum light. Phys. Rev. Lett., 100, 073601(2008).

[11] M. J. Holland, K. Burnett. Interferometric detection of optical phase shifts at the Heisenberg limit. Phys. Rev. Lett., 71, 1355-1358(1993).

[12] C. M. Caves. Quantum-mechanical noise in an interferometer. Phys. Rev. D, 23, 1693-1708(1981).

[13] V. Giovannetti, S. Lloyd, L. Maccone. Advances in quantum metrology. Nat. Photonics, 5, 222-229(2011).

[14] N. Thomas-Peter, B. J. Smith, A. Datta, L. Zhang, U. Dorner, I. A. Walmsley. Real-world quantum sensors: evaluating resources for precision measurement. Phys. Rev. Lett., 107, 113603(2011).

[15] M. Xiao, L.-A. Wu, H. J. Kimble. Precision measurement beyond the shot-noise limit. Phys. Rev. Lett., 59, 278-281(1987).

[16] S. Rosen, I. Afek, Y. Israel, O. Ambar, Y. Silberberg. Sub-Rayleigh lithography using high flux loss-resistant entangled states of light. Phys. Rev. Lett., 109, 103602(2012).

[17] A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, J. P. Dowling. Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit. Phys. Rev. Lett., 85, 2733-2736(2000).

[18] Y. Israel, S. Rosen, Y. Silberberg. Supersensitive polarization microscopy using NOON states of light. Phys. Rev. Lett., 112, 103604(2014).

[19] D. W. Berry, H. M. Wiseman. Adaptive quantum measurements of a continuously varying phase. Phys. Rev. A, 65, 043803(2002).

[20] K. Iwasawa, K. Makino, H. Yonezawa, M. Tsang, A. Davidovic, E. Huntington, A. Furusawa. Quantum-limited mirror-motion estimation. Phys. Rev. Lett., 111, 163602(2013).

[21] M. Tsang, H. M. Wiseman, C. M. Caves. Fundamental quantum limit to waveform estimation. Phys. Rev. Lett., 106, 090401(2011).

[22] H. Miao, R. X. Adhikari, Y. Ma, B. Pang, Y. Chen. Towards the fundamental quantum limit of linear measurements of classical signals. Phys. Rev. Lett., 119, 050801(2017).

[23] R. Jiménez-Martnez, J. Kołodyński, C. Troullinou, V. G. Lucivero, J. Kong, M. W. Mitchell. Signal tracking beyond the time resolution of an atomic sensor by Kalman filtering. Phys. Rev. Lett., 120, 040503(2018).

[24] D. W. Berry, M. Tsang, M. J. Hall, H. M. Wiseman. Quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation. Phys. Rev. X, 5, 031018(2015).

[25] D. W. Berry, M. J. W. Hall, H. M. Wiseman. Stochastic Heisenberg limit: optimal estimation of a fluctuating phase. Phys. Rev. Lett., 111, 113601(2013).

[26] H. T. Dinani, D. W. Berry. Adaptive estimation of a time-varying phase with a power-law spectrum via continuous squeezed states. Phys. Rev. A, 95, 063821(2017).

[27] M. Tsang. Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. Phys. Rev. A, 80, 033840(2009).

[28] M. Tsang, J. H. Shapiro, S. Lloyd. Quantum theory of optical temporal phase and instantaneous frequency. II. Continuous-time limit and state-variable approach to phase-locked loop design. Phys. Rev. A, 79, 053843(2009).

[29] M. Tsang. Time-symmetric quantum theory of smoothing. Phys. Rev. Lett., 102, 250403(2009).

[30] D. W. Berry, H. M. Wiseman. Adaptive phase measurements for narrowband squeezed beams. Phys. Rev. A, 73, 063824(2006).

[31] T. A. Wheatley, D. W. Berry, H. Yonezawa, D. Nakane, H. Arao, D. T. Pope, T. C. Ralph, H. M. Wiseman, A. Furusawa, E. H. Huntington. Adaptive optical phase estimation using time-symmetric quantum smoothing. Phys. Rev. Lett., 104, 093601(2010).

[32] H. Yonezawa, D. Nakane, T. A. Wheatley, K. Iwasawa, S. Takeda, H. Arao, K. Ohki, K. Tsumura, D. W. Berry, T. C. Ralph, H. M. Wiseman, E. H. Huntington, A. Furusawa. Quantum-enhanced optical-phase tracking. Science, 337, 1514-1517(2012).

[33] B. Yurke, S. L. McCall, J. R. Klauder. SU(2) and SU(1, 1) interferometers. Phys. Rev. A, 33, 4033-4054(1986).

[34] C. Brif, A. Mann. Nonclassical interferometry with intelligent light. Phys. Rev. A, 54, 4505-4518(1996).

[35] J. Jing, C. Liu, Z. Zhou, Z. Y. Ou, W. Zhang. Realization of a nonlinear interferometer with parametric amplifiers. Appl. Phys. Lett., 99, 011110(2011).

[36] Z. Y. Ou. Enhancement of the phase-measurement sensitivity beyond the standard quantum limit by a nonlinear interferometer. Phys. Rev. A, 85, 023815(2012).

[37] F. Hudelist, J. Kong, C. Liu, J. Jing, Z. Ou, W. Zhang. Quantum metrology with parametric amplifier-based photon correlation interferometers. Nat. Commun., 5, 3049(2014).

[38] B. E. Anderson, P. Gupta, B. L. Schmittberger, T. Horrom, C. Hermann-Avigliano, K. M. Jones, P. D. Lett. Phase sensing beyond the standard quantum limit with a variation on the SU(1, 1) interferometer. Optica, 4, 752-756(2017).

[39] M. Manceau, G. Leuchs, F. Khalili, M. Chekhova. Detection loss tolerant supersensitive phase measurement with an SU(1,1) interferometer. Phys. Rev. Lett., 119, 223604(2017).

[40] S. Lemieux, M. Manceau, P. R. Sharapova, O. V. Tikhonova, R. W. Boyd, G. Leuchs, M. V. Chekhova. Engineering the frequency spectrum of bright squeezed vacuum via group velocity dispersion in an SU(1, 1) interferometer. Phys. Rev. Lett., 117, 183601(2016).

[41] M. Gabbrielli, L. Pezzè, A. Smerzi. Spin-mixing interferometry with Bose-Einstein condensates. Phys. Rev. Lett., 115, 163002(2015).

[42] D. Linnemann, H. Strobel, W. Muessel, J. Schulz, R. Lewis-Swan, K. Kheruntsyan, M. Oberthaler. Quantum-enhanced sensing based on time reversal of nonlinear dynamics. Phys. Rev. Lett., 117, 013001(2016).

[43] S. S. Szigeti, R. J. Lewis-Swan, S. A. Haine. Pumped-up SU(1,1) interferometry. Phys. Rev. Lett., 118, 150401(2017).

[44] M. Ban. Decomposition formulas for su(1, 1) and su(2) Lie algebras and their applications in quantum optics. J. Opt. Soc. Am. B, 10, 1347-1359(1993).

[45] G. Chiribella, G. M. D’Ariano, P. Perinotti. Applications of the group SU(1,1) for quantum computation and tomography. Laser Phys., 16, 1572-1581(2006).

[46] H. L. V. Trees, K. L. Bell. Detection Estimation and Modulation Theory. Part I: Detection, Estimation, and Filtering Theory(2013).

[47] S. Liu, Y. Lou, J. Xin, J. Jing. Quantum enhancement of phase sensitivity for the bright-seeded SU(1,1) interferometer with direct intensity detection. Phys. Rev. Appl., 10, 064046(2018).

CLP Journals

[1] Gao-Feng Jiao, Keye Zhang, L. Q. Chen, Chun-Hua Yuan, Weiping Zhang, "Quantum non-demolition measurement based on an SU(1,1)-SU(2)-concatenated atom-light hybrid interferometer," Photonics Res. 10, 475 (2022)

Tools

Get Citation

Copy Citation Text

Kaimin Zheng, Minghao Mi, Ben Wang, Liang Xu, Liyun Hu, Shengshuai Liu, Yanbo Lou, Jietai Jing, Lijian Zhang, "Quantum-enhanced stochastic phase estimation with the SU(1,1) interferometer," Photonics Res. 8, 1653 (2020)

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category: Quantum Optics

Received: Apr. 21, 2020

Accepted: Aug. 2, 2020

Published Online: Sep. 30, 2020

The Author Email: Jietai Jing (jtjing@phy.ecnu.edu.cn), Lijian Zhang (lijian.zhang@nju.edu.cn)

DOI:10.1364/PRJ.395682

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology