Photonic Quantum Metrology

Polino, Emanuele; Valeri, Mauro; Spagnolo, Nicolò; Sciarrino, Fabio

doi:10.48550/arxiv.2003.05821

Cited by 9 publications

(15 citation statements)

References 770 publications

(1,188 reference statements)

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“…where the summation is over all possible outcomes of the measurement ( D). In frequentist approach, the best possible precision that one can estimate (by using a locally unbiased estimator) the unknown phase is [5,45] ∆φ min = 1…”

Section: Estimating Fisher Informationmentioning

confidence: 99%

“…Maximizing the fisher information over all generic quantum measurement schemes yields the Quantum Fisher Information (QFI) of ρ φ [5]:…”

Section: Estimating Fisher Informationmentioning

confidence: 99%

“…The measurement scheme that maximizes Fisher information is called the optimal measurement scheme for ρ φ . QFI depends only on ρ φ and can ba calculated by [5]:…”

Section: Estimating Fisher Informationmentioning

confidence: 99%

“…The optical phase is the most significant parameter in the context of quantum metrology, especially in the optical interferometry [2][3][4]. Optical interferometers use photons as resources and are one of the most precise tools for measuring quantities such as length, index of refraction, velocity, etc [1,5], by mapping them into a phase shift. By using classical states of light, the best precision that one can estimate the phase shift scales like 1/ √ N [6], in which N is the number of photons used.…”

Section: Introductionmentioning

confidence: 99%

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Phase estimation of definite photon number states by using quantum circuits

Najafi,

Naeimi,

Saeidian

2021

Preprint

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We propose a method to map the conventional optical interferometry setup into quantum circuits. The unknown phase shift inside a Mach-Zehnder interferometer in the presence of photon loss is estimated by simulating the quantum circuits. For this aim, we use the Bayesian approach in which the likelihood functions are needed, and they are obtained by simulating the appropriate quantum circuits. The precision of four different definite photon-number states of light, which all possess six photons, is compared. In addition, the fisher information for the four definite photon-number states in the setup is also estimated to check the optimality of the chosen measurement scheme.

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Section: Estimating Fisher Informationmentioning

confidence: 99%

“…Maximizing the fisher information over all generic quantum measurement schemes yields the Quantum Fisher Information (QFI) of ρ φ [5]:…”

Section: Estimating Fisher Informationmentioning

confidence: 99%

“…The measurement scheme that maximizes Fisher information is called the optimal measurement scheme for ρ φ . QFI depends only on ρ φ and can ba calculated by [5]:…”

Section: Estimating Fisher Informationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Phase estimation of definite photon number states by using quantum circuits

Najafi,

Naeimi,

Saeidian

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In the framework of distributed quantum metrology, an important class of estimation problems is concerned with the sensing of individual parameters. Typically, the Heisenberg limit can be achieved in both continuous-variable and discrete-variable states 18 . However, recently, there has been increasing interest in the study of multiparameter estimation, particularly in the linear combination of the results of multiple simultaneous measurements at different locations (or modes), for example, averaged phase shift.…”

mentioning

confidence: 99%

Distributed quantum phase estimation with entangled photons

Liu

Zhang

et al. 2020

Nat. Photonics

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Distributed quantum metrology can enhance the sensitivity for sensing spatially distributed parameters beyond the classical limits. Here we demonstrate distributed quantum phase estimation with discrete variables to achieve Heisenberg limit phase measurements. Based on parallel entanglement in modes and particles, we demonstrate distributed quantum sensing for both individual phase shifts and an averaged phase shift, with an error reduction up to 1.4 dB and 2.7 dB below the shot-noise limit. Furthermore, we demonstrate a combined strategy with parallel mode entanglement and multiple passes of the phase shifter in each mode. In particular, our experiment uses six entangled photons with each photon passing the phase shifter up to six times, and achieves a total number of photon passes N = 21 at an error reduction up to 4.7 dB below the shot-noise limit. Our research provides a faithful 1

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Quantum sensing networks for the estimation of linear functions

Rubio

Knott

Proctor

et al. 2020

J. Phys. A: Math. Theor.

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The theoretical framework for networked quantum sensing has been developed to a great extent in the past few years, but there are still a number of open questions. Among these, a problem of great significance, both fundamentally and for constructing efficient sensing networks, is that of the role of inter-sensor correlations in the simultaneous estimation of multiple linear functions, where the latter are taken over a collection local parameters and can thus be seen as global properties. In this work we provide a solution to this when each node is a qubit and the state of the network is sensor-symmetric. First we derive a general expression linking the amount of inter-sensor correlations and the geometry of the vectors associated with the functions, such that the asymptotic error is optimal. Using this we show that if the vectors are clustered around two special subspaces, then the optimum is achieved when the correlation strength approaches its extreme values, while there is a monotonic transition between such extremes for any other geometry. Furthermore, we demonstrate that entanglement can be detrimental for estimating non-trivial global properties, and that sometimes it is in fact irrelevant. Finally, we perform a non-asymptotic analysis of these results using a Bayesian approach, finding that the amount of correlations needed to enhance the precision crucially depends on the number of measurement data. Our results will serve as a basis to investigate how to harness correlations in networks of quantum sensors operating both in and out of the asymptotic regime.

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Photonic Quantum Metrology

Cited by 9 publications

References 770 publications

Phase estimation of definite photon number states by using quantum circuits

Phase estimation of definite photon number states by using quantum circuits

Distributed quantum phase estimation with entangled photons

Quantum sensing networks for the estimation of linear functions

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