Minimal Tradeoff and Ultimate Precision Limit of Multiparameter Quantum Magnetometry under the Parallel Scheme

Hou, Zhibo; Zhang, Zhao; Xiang, Guo-Yong; Li, Chuan‐Feng; Guo, Guang‐Can; Chen, Hongzhen; Liu, Liqiang; Yuan, Haidong

doi:10.1103/physrevlett.125.020501

Cited by 48 publications

(28 citation statements)

References 59 publications

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“…For example, under the parallel scheme as in Fig. 2C, where N qubits are prepared in a large entangled state with each qubit going through one operator, it is not possible to achieve the minimal variance for all three parameters simultaneously (17,18). However, these conditions can be satisfied under the optimally controlled sequential scheme.…”

Section: Simultaneous Estimation Of Multiple Parameters With Incompatmentioning

confidence: 99%

“…The role of the uncertainty relation in quantum metrology, however, has only been investigated in the single-parameter quantum estimation (3). For multiparameter quantum estimation (13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29)(30)(31), multiple uncertainty relations are involved. The interplay among multiple uncertainty relations, however, remains a largely unexplored territory.…”

Section: Introductionmentioning

confidence: 99%

“…The central motivation of this study, however, is experimental. While the theory of quantum metrology has been developed toward more complex scenarios involving multiple parameters (13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25), the experimental studies are still largely on the estimation of a single parameter (6)(7)(8)(9)(10)32). There are only a few experiments on multiparameter estimation (26)(27)(28)(29)(30)(31)(33)(34)(35)(36), and these previous experiments cannot achieve the highest precisions for all parameters simultaneously.…”

Section: Introductionmentioning

confidence: 99%

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Zero–trade-off multiparameter quantum estimation via simultaneously saturating multiple Heisenberg uncertainty relations

et al. 2021

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Quantum estimation of a single parameter has been studied extensively. Practical applications, however, typically involve multiple parameters, for which the ultimate precision is much less understood. Here, by relating the precision limit directly to the Heisenberg uncertainty relation, we show that to achieve the highest precisions for multiple parameters at the same time requires the saturation of multiple Heisenberg uncertainty relations simultaneously. Guided by this insight, we experimentally demonstrate an optimally controlled multipass scheme, which saturates three Heisenberg uncertainty relations simultaneously and achieves the highest precisions for the estimation of all three parameters in SU(2) operators. With eight controls, we achieve a 13.27-dB improvement in terms of the variance (6.63 dB for the SD) over the classical scheme with the same loss. As an experiment demonstrating the simultaneous achievement of the ultimate precisions for multiple parameters, our work marks an important step in multiparameter quantum metrology with wide implications.

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Section: Simultaneous Estimation Of Multiple Parameters With Incompatmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Zero–trade-off multiparameter quantum estimation via simultaneously saturating multiple Heisenberg uncertainty relations

et al. 2021

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“…Furthermore, these emerging technologies are still far from the ultimate performance limits that are enforced by their fundamental noise sources. For example, current optomechanical, NV, and SERF magnetometers are approximately two to three orders of magnitude above their sensitivity limits, as shown in Figure 8 ; even these limits can potentially be manipulated by leveraging quantum-mechanical effects [ 121 , 131 , 202 , 203 ]. In contrast, some heritage technologies are already at their physical limits, such as air-core search (induction) coils [ 204 ].…”

Section: Brief Summarymentioning

confidence: 99%

Precision Magnetometers for Aerospace Applications: A Review

Bennett

Vyhnalek

Greenall

et al. 2021

Sensors

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Aerospace technologies are crucial for modern civilization; space-based infrastructure underpins weather forecasting, communications, terrestrial navigation and logistics, planetary observations, solar monitoring, and other indispensable capabilities. Extraplanetary exploration—including orbital surveys and (more recently) roving, flying, or submersible unmanned vehicles—is also a key scientific and technological frontier, believed by many to be paramount to the long-term survival and prosperity of humanity. All of these aerospace applications require reliable control of the craft and the ability to record high-precision measurements of physical quantities. Magnetometers deliver on both of these aspects and have been vital to the success of numerous missions. In this review paper, we provide an introduction to the relevant instruments and their applications. We consider past and present magnetometers, their proven aerospace applications, and emerging uses. We then look to the future, reviewing recent progress in magnetometer technology. We particularly focus on magnetometers that use optical readout, including atomic magnetometers, magnetometers based on quantum defects in diamond, and optomechanical magnetometers. These optical magnetometers offer a combination of field sensitivity, size, weight, and power consumption that allows them to reach performance regimes that are inaccessible with existing techniques. This promises to enable new applications in areas ranging from unmanned vehicles to navigation and exploration.

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“…Upon the derivation of quantum Cramér-Rao matrix inequality for the covariance of estimates of multiple parameters [12], the question has been answered in particular sensing scenarios by using various quantum states such as a coherent superposition of N photons [17], Gaussian states [18] or particle-modeentangled states [19]. A more tricky scenario has also been discussed, e.g., estimating multiple phases governed by noncommuting generators [20,21].…”

Section: Introductionmentioning

confidence: 99%

Distributed quantum phase sensing for arbitrary positive and negative weights

Oh,

Jiang,

Lee

2021

Preprint

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Estimation of a global parameter defined as a weighted linear combination of unknown multiple parameters can be enhanced by using quantum resources. Advantageous quantum strategies may vary depending on the weight distribution, but have rarely been studied. Here, we propose a distributed quantum phase sensing scheme using Gaussian states in order to take into account an arbitrary distribution of the weights with positive and negative signs. The optimal estimation precision of the proposed scheme is derived, and shown to be achievable by using squeezed states injected into linear beam-splitter networks and performing homodyne detection on them. It is shown that entanglement of Gaussian states is advantageous only among the modes assigned with equal signs of the weights, whereas is not useful between the modes with opposite weight signs. We also provide a deeper understanding of our finding by focusing on the two-mode case, in comparison with the cases using non-Gaussian probe states. We expect this work to motivate further studies on quantum-enhanced distributed sensing schemes considering various types of physical parameters with an arbitrary weight distribution.

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Minimal Tradeoff and Ultimate Precision Limit of Multiparameter Quantum Magnetometry under the Parallel Scheme

Cited by 48 publications

References 59 publications

Zero–trade-off multiparameter quantum estimation via simultaneously saturating multiple Heisenberg uncertainty relations

Zero–trade-off multiparameter quantum estimation via simultaneously saturating multiple Heisenberg uncertainty relations

Precision Magnetometers for Aerospace Applications: A Review

Distributed quantum phase sensing for arbitrary positive and negative weights

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