Simultaneously estimating two phases in three-mode nonlinear interferometer

YingWang,; Hu, Li-Yun; Zhang, Zhiming; Wei, Chaoping

doi:10.1016/j.optcom.2018.06.072

Cited by 5 publications

(2 citation statements)

References 26 publications

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“…In bosonic quantum metrology, a constant scaling improvement over the was observed by Spedalieri et al, who demonstrated that correlated thermal states outperform coherent states for the estimation of a loss parameter 232 . Also, the case of simultaneous estimation of multi-parameters in the presence of noise has been investigated 89,233 . Since preparing noiseless probe states and encoding channels is experimentally challenging, efforts to view noise as a utility to introduce correlations into the system have been explored [234][235][236] .…”

Section: A Metrology In Noisy Quantum Channelsmentioning

confidence: 99%

Geometric perspective on quantum parameter estimation

Sidhu

Kok

2020

AVS Quantum Science

187

132

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Quantum metrology holds the promise of an early practical application of quantum technologies, in which measurements of physical quantities can be made with much greater precision than what is achievable with classical technologies. In this review, we collect some of the key theoretical results in quantum parameter estimation by presenting the theory for the quantum estimation of a single parameter, multiple parameters, and optical estimation using Gaussian states. We give an overview of results in areas of current research interest, such as Bayesian quantum estimation, noisy quantum metrology, and distributed quantum sensing. We address the question how minimum measurement errors can be achieved using entanglement as well as more general quantum states. This review is presented from a geometric perspective. This has the advantage that it unifies a wide variety of estimation procedures and strategies, thus providing a more intuitive big picture of quantum parameter estimation. CONTENTS

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Section: A Metrology In Noisy Quantum Channelsmentioning

confidence: 99%

Geometric perspective on quantum parameter estimation

Sidhu

Kok

2020

AVS Quantum Science

187

132

View full text Add to dashboard Cite

show abstract

“…The first one is based on an assumption, that the resources within a single trial n should be divided between all the parameters, while the total number of repetition of the whole experiment k should be kept unchanged [45,67,[78][79][80]. As argued in the introduction, in presence of Heisenberg Scaling, this is highly ineffective strategy, as it leads to the cost scaling as:…”

Section: Derivation Of the Boundmentioning

confidence: 99%

Multiparameter quantum metrology in the Heisenberg Limit regime: many repetition scenario vs. full optimization

Górecki,

Demkowicz-Dobrzański

2022

Preprint

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We discuss the Heisenberg limit in the multiparameter metrology within two different paradigms-the one, where the measurement is repeated many times (so the Cramér-Rao bound is guaranteed to be asymptotically saturable) and the second one, where all the resources are allocated into one experimental realization (analyzed with the mimimax approach). We investigate the potential advantage of measuring all the parameter simultaneously compared to estimating them individually, while spending the same total amount of resources. We show that in general the existence of such an advantage, its magnitude and conditions under which it occurs depends on which of the two paradigms has been chosen. In particular, for the problem of magnetic field sensing using N entangled spin-1/2, we show that the predictions based purely on the Cramér-Rao formalism may be overly pessimistic in this matter-the minimax approach reveals the superiority of measuring all the parameters jointly whereas the Cramér-Rao approach indicates lack of such an advantage.

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Phase sensitivity of a three-mode nonlinear interferometer

Wei

Deng

et al. 2019

Optics Communications

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Simultaneously estimating two phases in three-mode nonlinear interferometer

Cited by 5 publications

References 26 publications

Geometric perspective on quantum parameter estimation

Geometric perspective on quantum parameter estimation

Multiparameter quantum metrology in the Heisenberg Limit regime: many repetition scenario vs. full optimization

Phase sensitivity of a three-mode nonlinear interferometer

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