General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology

Escher, B. M.; Filho, R. L. de Matos; Davidovich, L.

doi:10.1038/nphys1958

Cited by 853 publications

(1,139 citation statements)

References 39 publications

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“…So far the analysis of noisy measurement schemes was limited only to schemes governed by linear generators leading to some very pessimistic results [12][13][14][15][16][17][18][19]. Although, under certain circumstances such as the presence of non-Markovian environments [20,21], or frequency estimation with transversal noise [22], some improvement in the precision with respect to the shot-noise limit can be observed.…”

Section: Introductionmentioning

confidence: 99%

Precision bounds for noisy nonlinear quantum metrology

Zwierz

Wiseman

2014

Phys. Rev. A

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We derive the ultimate bounds on the performance of nonlinear measurement schemes in the presence of noise. In particular, we investigate the precision of the second-order estimation scheme in the presence of the two most detrimental types of noise, photon loss and phase diffusion. We find that the second-order estimation scheme is affected by both types of noise in an analogous way as the linear one. Moreover, we observe that for both types of noise the gain in the phase sensitivity with respect to the linear estimation scheme is given by a multiplicative term O(1/N ). Interestingly, we also find that under certain circumstances, a careful engineering of the environment can, in principle, improve the performance of measurement schemes affected by phase diffusion.

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Section: Introductionmentioning

confidence: 99%

Precision bounds for noisy nonlinear quantum metrology

Zwierz

Wiseman

2014

Phys. Rev. A

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“…On the other hand , however, interaction between a system and an environment is unavoidable in reality, and the quantum decoherence induced by such interactions may decrease the QFI and destroy the quantum entanglement in the probe system exploited to improve the precision. In this regard, It has been shown that the interaction between a system and an environment usually makes the measurements noisy, which in turn degrades the estimation precision [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic shielding in quantum metrology

Jin

2015

Phys. Rev. A

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The dynamics of the quantum Fisher information of the parameters of the initial atomic state and atomic transition frequency is studied, in the framework of open quantum systems, for a static polarizable two-level atom coupled in the multipolar scheme to a bath of fluctuating vacuum electromagnetic fields without and with the presence of a reflecting boundary. Our results show that in the case without a boundary, the electromagnetic vacuum fluctuations always cause the quantum Fisher information of the initial parameters and thus the precision limit of parameter estimation to decrease. Remarkably, however, with the presence of a boundary, the quantum Fisher information becomes position and atomic polarization dependent, and as a result, it may be enhanced as compared to that in the case without a boundary and may even be shielded from the influence of the vacuum fluctuations in certain circumstances as if it were a closed system.

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“…This behavior has been argued to be generic to all Heisenberg scaling schemes (see Refs. [20][21][22][23]), so it is not surprising that we also find this behavior here as well. We also showed that the von Neumann measurement interaction also has the phase accumulation effect, provided we prepared the meter states in momentum eigenstates.…”

Section: Discussionmentioning

confidence: 61%

Heisenberg scaling with weak measurement: a quantum state discrimination point of view

Jordan¹,

Tollaksen²,

Troupe³

et al. 2015

Quantum Stud.: Math. Found.

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We examine the results of the paper "Precision metrology using weak measurements" (Zhang et al. arXiv:1310.5302, 2013) from a quantum state discrimination point of view. The Heisenberg scaling of the photon number for the precision of the interaction parameter between coherent light and a spin one-half particle (or pseudospin) has a simple interpretation in terms of the interaction rotating the quantum state to an orthogonal one. To achieve this scaling, the information must be extracted from the spin rather than from the coherent state of light, limiting the applications of the method to phenomena such as cross-phase modulation. We next investigate the effect of dephasing noise and show a rapid degradation of precision, in agreement with general results in the literature concerning Heisenberg scaling metrology. We also demonstrate that a von Neumann-type measurement interaction can display a similar effect with no system/meter entanglement.

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General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology

Cited by 853 publications

References 39 publications

Precision bounds for noisy nonlinear quantum metrology

Precision bounds for noisy nonlinear quantum metrology

Electromagnetic shielding in quantum metrology

Heisenberg scaling with weak measurement: a quantum state discrimination point of view

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