Optimal phase estimation with photon-number difference measurement using twin-Fock states of light

doi:10.1088/1674-1056/ab4e7f

中国物理B ›› 2019, Vol. 28 ›› Issue (12): 120303-120303.doi: 10.1088/1674-1056/ab4e7f

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Optimal phase estimation with photon-number difference measurement using twin-Fock states of light

J H Xu(徐佳慧), J Z Wang(王建中), A X Chen(陈爱喜), Y Li(李勇), G R Jin(金光日)

1 Key Laboratory of Optical Field Manipulation of Zhejiang Province and Physics Department of Zhejiang Sci-Tech University, Hangzhou 310018, China;
2 Beijing Computational Science Research Center, Beijing 100193, China

收稿日期:2019-08-05 修回日期:2019-09-24 出版日期:2019-12-05 发布日期:2019-12-05
通讯作者: G R Jin E-mail:grjin@zstu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 91636108, 11775190, and 11774024), Science Foundation of Zhejiang Sci-Tech University, China (Grant No. 18062145-Y), Open Foundation of Key Laboratory of Optical Field Manipulation of Zhejiang Province, China (Grant No. ZJOFM-2019-002), and Science Challenge Project, China (Grant No. TZ2018003).

Optimal phase estimation with photon-number difference measurement using twin-Fock states of light

J H Xu(徐佳慧)¹, J Z Wang(王建中)¹, A X Chen(陈爱喜)¹, Y Li(李勇)², G R Jin(金光日)¹

1 Key Laboratory of Optical Field Manipulation of Zhejiang Province and Physics Department of Zhejiang Sci-Tech University, Hangzhou 310018, China;
2 Beijing Computational Science Research Center, Beijing 100193, China

Received:2019-08-05 Revised:2019-09-24 Online:2019-12-05 Published:2019-12-05
Contact: G R Jin E-mail:grjin@zstu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 91636108, 11775190, and 11774024), Science Foundation of Zhejiang Sci-Tech University, China (Grant No. 18062145-Y), Open Foundation of Key Laboratory of Optical Field Manipulation of Zhejiang Province, China (Grant No. ZJOFM-2019-002), and Science Challenge Project, China (Grant No. TZ2018003).

摘要/Abstract

摘要： Quantum phase measurement with multiphoton twin-Fock states has been shown to be optimal for detecting equal numbers of photons at the output ports of a Mach-Zehnder interferometer (i.e., the so-called single-fringe detection), since the phase sensitivity can saturate the quantum Cramér-Rao lower bound at certain values of phase shift. Here we report a further step to achieve a global phase estimation at the Heisenberg limit by detecting the particle-number difference (i.e., the Ĵ_z measurement). We show the role of experimental imperfections on the ultimate estimation precision with the six-photon twin-Fock state of light. Our results show that both the precision and the sensing region of the Ĵ_z measurement are better than those of the single-fringe detection, due to combined contributions of the measurement outcomes. We numerically simulate the phase estimation protocol using an asymptotically unbiased maximum likelihood estimator.

关键词: foundations of quantum mechanics, measurement theory, nonclassical interferometry

Abstract: Quantum phase measurement with multiphoton twin-Fock states has been shown to be optimal for detecting equal numbers of photons at the output ports of a Mach-Zehnder interferometer (i.e., the so-called single-fringe detection), since the phase sensitivity can saturate the quantum Cramér-Rao lower bound at certain values of phase shift. Here we report a further step to achieve a global phase estimation at the Heisenberg limit by detecting the particle-number difference (i.e., the Ĵ_z measurement). We show the role of experimental imperfections on the ultimate estimation precision with the six-photon twin-Fock state of light. Our results show that both the precision and the sensing region of the Ĵ_z measurement are better than those of the single-fringe detection, due to combined contributions of the measurement outcomes. We numerically simulate the phase estimation protocol using an asymptotically unbiased maximum likelihood estimator.

Key words: foundations of quantum mechanics, measurement theory, nonclassical interferometry

中图分类号: (Foundations of quantum mechanics; measurement theory)

03.65.Ta

42.50.St (Nonclassical interferometry, subwavelength lithography)

徐佳慧, 王建中, 陈爱喜, 李勇, 金光日. Optimal phase estimation with photon-number difference measurement using twin-Fock states of light[J]. 中国物理B, 2019, 28(12): 120303-120303.

J H Xu(徐佳慧), J Z Wang(王建中), A X Chen(陈爱喜), Y Li(李勇), G R Jin(金光日). Optimal phase estimation with photon-number difference measurement using twin-Fock states of light[J]. Chin. Phys. B, 2019, 28(12): 120303-120303.

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Optimal phase estimation with photon-number difference measurement using twin-Fock states of light

Optimal phase estimation with photon-number difference measurement using twin-Fock states of light

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