Effects of losses on the sensitivity of an actively correlated Mach-Zehnder interferometer

Jiao, Gao-Feng; Wang, Qiang; Yu, Zhifei; Chen, L. Q.; Zhang, Weiping; Yuan, Chun-Hua

doi:10.1103/physreva.104.013725

Cited by 8 publications

(6 citation statements)

References 37 publications

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“…For an optical detection system, the probability of successful detection of quantum states is a very important parameter [41][42][43]. The probability of successful detection depends not only on the parameters of the optical instrument but also on the input quantum state and the detected physical quantity.…”

Section: Detection Efficiency Of the Bsmentioning

confidence: 99%

Generating superpositions of quantum states via a beam splitter with position measurement

Ren,

Zhang

2023

Phys. Scr.

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We use the quadrature measurement to generate the novel nonclassical states via the beam splitter with two input states, i.e., a Fock state and a vacuum state. It is interesting to find that the desired target states are the Hermite polynomial excited vacuum states. Our results have shown that the zero-position detection for the position detector, the little photon number in the input state, and the high transmittance of the beam splitter (BS) are beneficial to improve the detection efficiency of finding the output states. The proposed states quantum statistical properties and squeezing effects are also studied in detail via different criteria. Our numerical analysis demonstrates that the output quantum states are new nonclassical states. Compared with the method of photon catalysis, position detection is easier to realize in experiments. Therefore, the results in this paper shall provide theoretical support for the experimental generation of several new nonclassical states.

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Section: Detection Efficiency Of the Bsmentioning

confidence: 99%

Generating superpositions of quantum states via a beam splitter with position measurement

Ren,

Zhang

2023

Phys. Scr.

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“…In the model of SU(2) nested various SUI, Jiao et al also studied the effects of losses on the phase sensitivity via gain unbalance [98]. When the two input ports of the SU(1,1) interferometer have no injection and under HD at the dark point, the optimal sensitivity in the absence of losses can be obtained as follows…”

Section: Su(2) Nested Su(11) Interferometermentioning

confidence: 99%

“…More recently, a new type of interferometer was proposed and demonstrated. A SU(2)-in-SU(1,1) nested interferometer [97][98][99][100], nested an MZI in one arm of the SUI, combines the advantages of SU(1,1) and SU(2) interferometry. It can achieve the significant signal strength of SU(2) and the loss-tolerant quantum noise reduction of SU(1,1) to improve the phase sensitivity.…”

Section: Introductionmentioning

confidence: 99%

Phase Sensitivity Improvement in Correlation-Enhanced Nonlinear Interferometers

Liang

Yuan

et al. 2022

Symmetry

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Interferometers are widely used as sensors in precision measurement. Compared with a conventional Mach–Zehnder interferometer, the sensitivity of a correlation-enhanced nonlinear interferometer can break the standard quantum limit. Phase sensitivity plays a significant role in the enhanced performance. In this paper, we review improvement in phase estimation technologies in correlation-enhanced nonlinear interferometers, including SU(1,1) interferometer and SU(1,1)-SU(2) hybrid interferometer, and so on, and the applications in quantum metrology and quantum sensing networks.

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“…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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Effects of losses on the sensitivity of an actively correlated Mach-Zehnder interferometer

Cited by 8 publications

References 37 publications

Generating superpositions of quantum states via a beam splitter with position measurement

Generating superpositions of quantum states via a beam splitter with position measurement

Phase Sensitivity Improvement in Correlation-Enhanced Nonlinear Interferometers

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

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