Intramode-correlation–enhanced simultaneous multiparameter-estimation precision

Chang, Shoukang; Ye, Wei; Rao, Xuan; Wen, Jinyu; Zhang, Huan; Gong, Qingkun; Huang, Liangwei; Luo, Mengmeng; Chen, Yuetao; Hu, Li-Yun; Gao, Shaoyan

doi:10.1103/physreva.106.062409

Cited by 4 publications

(2 citation statements)

References 59 publications

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“…The general frame for estimating the ultimate precision limit in the presence of photon loss has been analyzed [14][15][16][17], where this decoherence process can be described by a set of Kraus operators, and the corresponding lower bounds in quantum metrology are given by the quantum Cramér-Rao bound (QCRB) usage of quantum Fisher information (QFI) [27]. It establishes the best precision that can be attained with a given quantum probe [28][29][30][31][32][33][34][35][36][37][38][39]. Phase diffusion represents stochastic fluctuations of the estimated phase shift.…”

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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Section: Introductionmentioning

confidence: 99%

Phase Diffusion Mitigation in the Truncated Mach–Zehnder Interferometer

Liao,

Ma,

Chen

et al. 2024

Symmetry

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show abstract

“…The general frame for estimating the ultimate precision limite in the presence of photo loss has been analyzed [46][47][48][49], where this decoherence process can be described by a set of Kraus operators, and the corresponding lower bounds in quantum metrology is given by the quantum Cra ḿer-Rao bound (QCRB) usage of quantum Fisher information (QFI) [4,5]. It establishes the best precision that can be attained with a given quantum probe [60][61][62][63][64][65][66][67][68][69][70][71][72].…”

Section: Introductionmentioning

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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