Multiparameter approach to quantum phase estimation with limited visibility

Roccia, Emanuele; Cimini, Valeria; Sbroscia, Marco; Gianani, Ilaria; Ruggiero, Ludovica; Mancino, Luca; Genoni, Marco G.; Ricci, Maria Antonietta; Barbieri, Marco

doi:10.1364/optica.5.001171

Cited by 59 publications

(62 citation statements)

References 51 publications

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“…In our experiment, we set it to values in the interval [0, 180 • ] in steps of 1 • [32]. The estimation is then performed collecting coincidence counts, in correspondence of each value of ϕ, using the four-measurement scheme in [17,32]. The data set consists in the collection of coincidence counts, relative to four different settings of the measurement HWP i.e.…”

Section: Resultsmentioning

confidence: 99%

“…The first HWP is used to impart the phase ϕ between these two polarizations. The measurement apparatus performs the 4-setting scheme [17,32] allowing to reconstruct the posterior probability.…”

Section: Resultsmentioning

confidence: 99%

“…Concerning different sources of bias, in particular those due to inaccurate modelling for data inversion, there exist no general prescriptions for quick fixes. In quantum polarimetry the adoption of multiparameter strategies has proven somewhat beneficial [17] with a consumption of extra-resources which can be kept modest [35].…”

Section: Discussionmentioning

confidence: 99%

“…Specifically, either the collection of outcomes is too small, or the model employed for obtaining p(x|ϕ) relies on wrong assumptions. This is the case when p(x|ϕ) contains quantities subject to an incorrect pre-calibration [17]. The same strategy can be applied to analyzing the sensitivity of generalized CRBs to possible biases in the estimation, suggesting their usefulness as a diagnostic tool to check estimators' unbiasedness.…”

Section: Generalized Cramér-rao Bounds For Detecting Biased Estimmentioning

confidence: 99%

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Diagnosing Imperfections in Quantum Sensors via Generalized Cramér-Rao Bounds

et al. 2020

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Quantum metrology derives its capabilities from the careful employ of quantum resources for carrying out measurements. This advantage however relies on refined data post-processing, assessed based on the variance of the estimated parameter. When Bayesian techniques are adopted, more elements become available for assessing the quality of the estimation. Here we adopt generalized classical Cramér-Rao bounds for looking in detail into a phase estimation experiment performed with quantum light. In particular we show that the third order absolute moment can give a superior capability in revealing biases in the estimation, compared to standard approaches. Our studies point to identify a novel strategy that brings a possible advantage in monitoring the correct operation of high precision sensors.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Generalized Cramér-rao Bounds For Detecting Biased Estimmentioning

confidence: 99%

See 2 more Smart Citations

Diagnosing Imperfections in Quantum Sensors via Generalized Cramér-Rao Bounds

et al. 2020

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“…The presence of such constraints has inspired the development of quantum metrological approaches over the last few decades. There, the aim is to improve the data quality while keeping the incident power at the low intensity regime [16,17], i.e., improving the precision for a fixed intensity. Probing * changhyoup.lee@gmail.com † kglee@hanyang.ac.kr analytes with quantum states of light promises the detection with a much reduced noise below what is possible with classical states of light, thus allowing better performances in optical measurements [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Experimental quantum polarimetry using heralded single photons

et al. 2020

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We perform experimental quantum polarimetry by relying on heralded single-photon to analyze the optical activity for linearly polarized light traversing a chiral medium. Three kind of measurable quantities are considered to estimate the concentration of sucrose solutions from measuring the rotation angle of the linear polarization of the output photons. Through repetition of independent and identical measurements performed for each individual scheme and different concentrations of sucrose solutions, we compare the estimation errors among the three schemes. Results are also compared to classical benchmarks for which a coherent state of light is taken into account. The quantum enhancement in the estimation error is evaluated and the impact of experimental and technical imperfections is discussed. With our work, we lay out a route for future applications relying on quantum polarimetry.

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Practical Sensitivity Bound for Multiple Phase Estimation with Multi‐Mode N00N$N00N$ States

Hong

Rehman

Kim

et al. 2022

Laser & Photonics Reviews

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Quantum enhanced multiple phase estimation is essential for various applications in quantum sensors and imaging. For multiple phase estimation, the sensitivity enhancement is dependent on both quantum probe states and measurement. It is known that multi‐mode N00N$N00N$ states can outperform other probe states for estimating multiple phases. However, it is generally not feasible in practice to implement an optimal measurement to achieve the quantum Cramer–Rao bound (QCRB) under a practical measurement scheme using a multi‐mode beam splitter in interferometric phase estimation. Here, a strategy to achieve the best practical sensitivity by optimizing both mode‐amplitudes of multi‐mode N00N$N00N$ states and a split ratio of a multi‐mode beam splitter is investigated. Then, it is experimentally demonstrated that the best sensitivity is achieved when an amplitude‐balanced multi‐mode N00N$N00N$ state and a multi‐mode beam splitter with an unbalanced ratio are used in three‐mode interferometric phase estimation. The results show that the lower QCRB cannot guarantee better sensitivity under a practical measurement scheme, thus it is more desirable to enhance the practical sensitivity rather than the QCRB. It is believed that this strategy can provide a powerful tool for practical applications in multiple phase estimation.

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Multiparameter approach to quantum phase estimation with limited visibility

Cited by 59 publications

References 51 publications

Diagnosing Imperfections in Quantum Sensors via Generalized Cramér-Rao Bounds

Diagnosing Imperfections in Quantum Sensors via Generalized Cramér-Rao Bounds

Experimental quantum polarimetry using heralded single photons

Practical Sensitivity Bound for Multiple Phase Estimation with Multi‐Mode N00N$N00N$ States

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