SCIENCE CHINA Information Sciences, Volume 60, Issue 3: 032502(2017) https://doi.org/10.1007/s11432-015-0878-8

## Super-sensitive detection of quantum interferometer in atmospheric environment

Yihua HU1,2,*, Shilong XU1,2
• AcceptedMar 16, 2016
• PublishedNov 28, 2016
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### Abstract

With squeezed states or entangled states being the source, quantum metrology, imaging and sensing can break the standard quantum limit (SQL), even reach the Heisenberg limit (HL), which is difficult to achieve by traditional methods. However, the photon loss or phase fluctuation caused by the atmospheric attenuation and turbulence cannot be ignored in the actual application. Atmospheric transmittance and phase fluctuation are related to the detection distance, and the phase sensitivity becomes worse as the distance increases. As the functions of distance, the photon loss and phase fluctuation are uniformly expressed according to the introduction of atmospheric attenuation coefficient, turbulence structure constant and receive aperture size in this paper. The density matrixes and phase sensitivities of N00N states and M&M$'$ states in the atmospheric environment are proposed in terms of distance variables. Then the quantitative computation of super-sensitive distance is carried out. SQL-contour is proposed to describe the super-sensitive ability of the quantum interferometer for the affection from both photon loss and phase fluctuation. The simulation results show that, in atmospheric environment the super-sensitive distance can reach hundreds of meters. M&M$'$ states with less total photon number are more likely to reflect the advantage of super-sensitivity. SQL-contour can provide references for interferometric source choosing.

### Funded by

National Natural Science Foundation of China(61271353)

### Acknowledgment

Acknowledgments

This work was supported by National Natural Science Foundation of China (Grant No. 61271353).

### References

[1] Lanzagorta M. Quantum Radar. 1st ed. San Rafael: Morgan & Claypool Publishers, 2011. 1--5. Google Scholar

[2] Lloyd G V, Maccone S. Quantum-enhanced measurements: beating the standard quantum limit. Science, 2004, 306: 1330-1336 CrossRef Google Scholar

[3] Sacchi M F. Entanglement can enhance the distinguishability of entanglement-breaking channels. Phys Rev Ser A, 2005, 72: 14305-1336 Google Scholar

[4] Smith III J F. Quantum entangled radar theory and a correction method for the effects of the atmosphere on entanglement. In: Proceedings of SPIE Defense, Security, and Sensing, International Society for Optics and Photonics, Orlando, 2009. 7342: 457. Google Scholar

[5] Smith III J F. Quantum interferometer and radar theory based on N00N, M and M or linear combinations of entangled states. In: Proceedings of SPIE Defense, Security, and Sensing, International Society for Optics and Photonics, Orlando, 2010. 7702: 131--142. Google Scholar

[6] Gilbert G, Hamrick M, Weinstein Y. Use of maximally entangled N-photon states for practical quantum interferometry. J Opt Soc America B, 2008, 28: 1336-1340 Google Scholar

[7] Rubin M A, Kaushik S. Loss-induced limits to phase measurement precision with maximally entangled states. Phys Rev A, 2007, 75: 497-500 Google Scholar

[8] Parks A D, Spence S E, Troupe J E, et al. Tripartite loss model for Mach-Zehnder interferometers with application to phase sensitivity. Rev Sci Instrum, 2005, 76: 043103-500 CrossRef Google Scholar

[9] Huver S D, Wildfeuer C F, Dowling J P. Entangled fock states for robust quantum optical metrology, imaging, and sensing. Phys Rev A, 2008, 78: 063828-500 CrossRef Google Scholar

[10] Jiang K, Brignac C J, Weng Y, et al. Strategies for choosing path-entangled number states for optimal robust quantum optical metrology in the presence of loss. Phys Rev A, 2012, 86: 013826-500 CrossRef Google Scholar

[11] Bardhan B R, Jiang K, Dowling J P. Effects of phase fluctuations on phase sensitivity and visibility of path-entangled photon Fock states. Phys Rev A, 2013, 88: 195-201 Google Scholar

[12] Bardhan B R, Dowling J P. Effects of phase fluctuations on the sensitivity of NOON state in a noisy environment. In: Proceedings of the Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting. New York: Optical Society of America, 2013. M6.19. Google Scholar

[13] Fuwa K, Valle B L. The pertinence of the Beer-Lambert law. Anal Chem, 1963, 35: 942-946 CrossRef Google Scholar

[14] Andrews L C, Phillips R L. Laser Beam Propagation Through Random Media. 2nd ed. Bellingham: SPIE Press, 2005. 168--169. Google Scholar

[15] Afek I, Silberberg Y. High-NOON states by mixing quantum and classical light. Science, 2010, 328: 879-881 CrossRef Google Scholar

[16] Ruizhong R. Light Propagation in the Turbulent Atmosphere. 2nd ed. Hefei: Anhui Science & Technology Publishing House, 2005. 66--68. Google Scholar

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