The elusive Heisenberg limit in quantum-enhanced metrology

Demkowicz-Dobrzański, Rafał; Kołodyński, Jan; Guţǎ, Mădălin

doi:10.1038/ncomms2067

Cited by 651 publications

(939 citation statements)

References 58 publications

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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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Section: Introductionmentioning

confidence: 99%

Electromagnetic shielding in quantum metrology

Jin

2015

Phys. Rev. A

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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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“…We restricted our calculations only to pure states and assumed that the interactions are fully suppressed during the interferometric sequence. We did not take into account the impact of decoherence [36][37][38]. In any realistic application, the above theory should be extended to include those effects.…”

Section: Discussionmentioning

confidence: 99%

Atom interferometer in a double-well potential

Gietka

Chwedeńczuk

2014

Phys. Rev. A

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We present a detailed study of an atom interferometer which can be realized in a double-well potential. We assume that the interferometric phase is imprinted in the presence of coherent tunneling between the wells. We calculate the ultimate bounds for the estimation sensitivity and show how they relate to the precision of the Mach-Zehnder interferometer. The interferometer presented here allows for sub shot-noise sensitivity when fed with the spin-squeezed states with reduced either the relative population imbalance or the relative phase. We also calculate the precision of the estimation from the population imbalance and show that it overcomes the shot-noise level when the entangled squeezed-states are used at the input.

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The elusive Heisenberg limit in quantum-enhanced metrology

Cited by 651 publications

References 58 publications

Electromagnetic shielding in quantum metrology

Electromagnetic shielding in quantum metrology

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

Atom interferometer in a double-well potential

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