Protection of Noise Squeezing in a Quantum Interferometer with Optimal Resource Allocation

Huang, Wenfeng; Liang, Xinyun; Zhu, Baiqiang; Yan, Yajing; Yuan, Chun-Hua; Zhang, Weiping; Chen, L. Q.

doi:10.1103/physrevlett.130.073601

Cited by 10 publications

(3 citation statements)

References 48 publications

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“…In the case of ∆ 2 na = ∆ 2 nb , for the SU(2) interferometers it exists when the beam splitting ratio of the first LBS is not 50:50 without losses [73]. However, in the presence of losses the optimal splitting ratio of LBS for the SU(2) interferometers is no longer 50:50, leading to ∆ 2 na = ∆ 2 nb [85,86]. For the SU(1, 1) interferometers, ∆ 2 na = ∆ 2 nb exists as long as that the input states of the two inputs are not the same [87].…”

Section: Qfim Of Interferometersmentioning

confidence: 99%

Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology

Zeng¹,

Liu²,

Chen³

et al. 2023

Preprint

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The quantum Fisher information (QFI) in SU(2) and SU(1,1) interferometers was considered, and the QFI-only calculation was overestimated. In general, the phase estimation as a two-parameterestimation problem, and the quantum Fisher information matrix (QFIM) is necessary. In this paper, we theoretically generalize the model developed by Escher et al [Nature Physics 7, 406 (2011)] to the QFIM case with noise and study the ultimate precision limits of SU(2) and SU(1,1) interferometers with photon losses because photon losses as a very usual noise may happen to the phase measurement process. Using coherent state ⊗ squeezed vacuum state as a specific example, we numerically analyze the variation of the overestimated QFI with the loss coefficient or splitter ratio, and find its disappearance and recovery phenomenon. By adjusting the splitter ratio and loss coefficient the optimal sensitivity is obtain, which is beneficial to quantum precision measurement in a lossy environment.

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Section: Qfim Of Interferometersmentioning

confidence: 99%

Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology

Zeng¹,

Liu²,

Chen³

et al. 2023

Preprint

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“…Unbalanced losses are unavoidable for multipass interferometry, such as, in the laser interferometer space antenna (LISA) proposal [52,53], where the signal interference arm suffering significant propagation loss is designed to return and interfere with the lossless local reference arm. The optimization of the splitting ratio is helpful for applications with significant unbalanced loss, which is realized in experiments [54,55]. On the other hand, how to counteract the adverse effects caused by phase diffusion was also studied.…”

Section: Introductionmentioning

confidence: 99%

Phase Diffusion Mitigation in the Truncated Mach–Zehnder Interferometer

Liao,

Ma,

Chen

et al. 2024

Symmetry

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The presence of phase diffusion noise may lead to the loss of quantum measurement advantages, resulting in measurement results that cannot beat the standard quantum limit (SQL). Squeezing is considered an effective method for reducing the detrimental effect of phase diffusion on a measurement. Reasonable use of squeezing can make a measurement exceed the SQL. The Mach–Zehnder (MZ) interferometer has been exploited as a generic tool for precise phase measurement. Describing the reduction in quantum advantage caused by phase diffusion in an MZ interferometer that can be mitigated by squeezing is not easy to handle analytically because the input state changes from a pure state to a mixed state after experiencing the diffusion noise in the MZ interferometer. We introduce a truncated MZ interferometer, a symmetrical structure that can achieve the same potential phase sensitivity as the conventional MZ interferometer. This scheme can theoretically explain how phase diffusion reduces phase estimation and why squeezing counteracts the presence of phase diffusion. Using the Gaussian property of the input state and the characteristic of Gaussian operation in the squeezing, the two orthogonal field quantities of the quantum state are squeezed and anti-squeezed to different degrees, and the analytic results are obtained. This result can beat the SQL and provide reliable theoretical guidance for the experiment. The truncated MZ interferometer is more straightforward to build and operate than the conventional MZ interferometer. Moreover, it mitigates the phase diffusion noise via the squeezing operation, thus making it useful for applications in quantum metrology.

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“…Parametric processing has been widely adopted in the construction of quantum interferometers [31][32][33][34][35] and several groups have also demonstrated the quantum-enhanced measurement of microscopic cantilever displacement based on utilizing truncated SU(1,1) interferometers [36]. Very recently, significant progress has been made with quantum interferometers [37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

High-Sensitivity Quantum-Enhanced Interferometers

Nie

et al. 2023

Photonics

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High-sensitivity interferometers are one of the basic tools for precision measurement, and their sensitivity is limited by their shot noise limit (SNL), which is determined by vacuum fluctuations of the probe field. The quantum interferometer with novel structures can break the SNL and measure the weak signals, such as the direct observation of gravity wave signal. Combining classical interferometers and the optical parametric amplifier (OPA) can enhance the signal; meanwhile, the quantum noise is kept at the vacuum level, so that the sensitivity of the nonlinear interferometer beyond the SNL can be achieved. By analyzing in detail the influence of system parameters on the precision of quantum metrology, including the intensity of optical fields for phase sensing, the gain factor of OPA, and the losses inside and outside the interferometers, the application conditions of high-sensitivity nonlinear quantum interferometers are obtained. Quantum interferometer-based OPAs provide the direct references for the practical development of quantum precise measurement.

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Protection of Noise Squeezing in a Quantum Interferometer with Optimal Resource Allocation

Cited by 10 publications

References 48 publications

Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology

Ultimate precision limit of SU(2) and SU(1,1) interferometers in noisy metrology

Phase Diffusion Mitigation in the Truncated Mach–Zehnder Interferometer

High-Sensitivity Quantum-Enhanced Interferometers

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