Distributed Phase Estimation at the Heisenberg Limit with Classical Light

Quantum metrology, such as quantum phase estimation, can surpass classical sensing limits, reaching the Heisenberg‐scaling precision. So far, this kind of metrology has been thought to be only implementable with the quantum systems, which, however, are fragile to environmental noise and hardly contr...

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Main Authors: Zijian Guo, Peijie Sun, Yifan Sun, Qian Li, Lingjun Kong, Xiangdong Zhang
Format: Article
Language:English
Published: Wiley-VCH 2024-03-01
Series:Advanced Photonics Research
Subjects:
Online Access:https://doi.org/10.1002/adpr.202300223
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author Zijian Guo
Peijie Sun
Yifan Sun
Qian Li
Lingjun Kong
Xiangdong Zhang
author_facet Zijian Guo
Peijie Sun
Yifan Sun
Qian Li
Lingjun Kong
Xiangdong Zhang
author_sort Zijian Guo
collection DOAJ
description Quantum metrology, such as quantum phase estimation, can surpass classical sensing limits, reaching the Heisenberg‐scaling precision. So far, this kind of metrology has been thought to be only implementable with the quantum systems, which, however, are fragile to environmental noise and hardly contribute to the practical detections. Herein, it is demonstrated both theoretically and experimentally that the parameter encoded by the optical phase can also be estimated at the Heisenberg scaling in classical optics. Inspired by the quantum‐entanglement‐enhanced sensing scheme, the estimation is performed by using classically correlated beams as probes, and obtaining the probes readout after their interaction with the target system. Because the correlated beams considered are spatially separable, a distributed phase estimation scheme is given, which can sense the linear combinations of the phase shifts induced by distinct systems. The results of our experiments show an error reduction up to 3.89 dB below the classical limit when the correlated beam number for probing is 6, approaching the Heisenberg limit. Compared with quantum strategies, the proposal shows a better robustness against the environmental disturbance and keeps their performances even when the correlated beam number is relatively large. Hence, it indicates promising practical applications in the future.
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spelling doaj.art-9777f4397e70426d90af029ff53f4de62024-03-06T10:27:17ZengWiley-VCHAdvanced Photonics Research2699-92932024-03-0153n/an/a10.1002/adpr.202300223Distributed Phase Estimation at the Heisenberg Limit with Classical LightZijian Guo0Peijie Sun1Yifan Sun2Qian Li3Lingjun Kong4Xiangdong Zhang5Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems School of Physics Beijing Institute of Technology Beijing 100081 ChinaKey Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems School of Physics Beijing Institute of Technology Beijing 100081 ChinaKey Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems School of Physics Beijing Institute of Technology Beijing 100081 ChinaKey Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems School of Physics Beijing Institute of Technology Beijing 100081 ChinaKey Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems School of Physics Beijing Institute of Technology Beijing 100081 ChinaKey Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems School of Physics Beijing Institute of Technology Beijing 100081 ChinaQuantum metrology, such as quantum phase estimation, can surpass classical sensing limits, reaching the Heisenberg‐scaling precision. So far, this kind of metrology has been thought to be only implementable with the quantum systems, which, however, are fragile to environmental noise and hardly contribute to the practical detections. Herein, it is demonstrated both theoretically and experimentally that the parameter encoded by the optical phase can also be estimated at the Heisenberg scaling in classical optics. Inspired by the quantum‐entanglement‐enhanced sensing scheme, the estimation is performed by using classically correlated beams as probes, and obtaining the probes readout after their interaction with the target system. Because the correlated beams considered are spatially separable, a distributed phase estimation scheme is given, which can sense the linear combinations of the phase shifts induced by distinct systems. The results of our experiments show an error reduction up to 3.89 dB below the classical limit when the correlated beam number for probing is 6, approaching the Heisenberg limit. Compared with quantum strategies, the proposal shows a better robustness against the environmental disturbance and keeps their performances even when the correlated beam number is relatively large. Hence, it indicates promising practical applications in the future.https://doi.org/10.1002/adpr.202300223classical opticsdistributed phase estimationHeisenberg limitquantum metrology
spellingShingle Zijian Guo
Peijie Sun
Yifan Sun
Qian Li
Lingjun Kong
Xiangdong Zhang
Distributed Phase Estimation at the Heisenberg Limit with Classical Light
Advanced Photonics Research
classical optics
distributed phase estimation
Heisenberg limit
quantum metrology
title Distributed Phase Estimation at the Heisenberg Limit with Classical Light
title_full Distributed Phase Estimation at the Heisenberg Limit with Classical Light
title_fullStr Distributed Phase Estimation at the Heisenberg Limit with Classical Light
title_full_unstemmed Distributed Phase Estimation at the Heisenberg Limit with Classical Light
title_short Distributed Phase Estimation at the Heisenberg Limit with Classical Light
title_sort distributed phase estimation at the heisenberg limit with classical light
topic classical optics
distributed phase estimation
Heisenberg limit
quantum metrology
url https://doi.org/10.1002/adpr.202300223
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AT yifansun distributedphaseestimationattheheisenberglimitwithclassicallight
AT qianli distributedphaseestimationattheheisenberglimitwithclassicallight
AT lingjunkong distributedphaseestimationattheheisenberglimitwithclassicallight
AT xiangdongzhang distributedphaseestimationattheheisenberglimitwithclassicallight