Intrinsic Sensitivity Limits for Multiparameter Quantum Metrology

Goldberg, Aaron Z.; Sánchez-Soto, Luis L.; Ferretti, Hugo

doi:10.1103/physrevlett.127.110501

Cited by 29 publications

(30 citation statements)

References 67 publications

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“…Therefore, conditions to realize compatible multiparameter estimation have been under intense scrutiny [15,18,[24][25][26][27][28][29][30][31][32][33]. Attainable precision limits for incompatible estimations are also avidly studied [11,14,25,27,[34][35][36][37][38][39][40][41][42][43][44][45][46]. Whether or not the QCRB is saturated, identifying attainable precision limit is the first step of quantum multiparameter metrology.…”

Section: Introductionmentioning

confidence: 99%

Imaginarity-free quantum multiparameter estimation

Miyazaki¹

2022

Quantum

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Multiparameter quantum estimation is made difficult by the following three obstacles. First, incompatibility among different physical quantities poses a limit on the attainable precision. Second, the ultimate precision is not saturated until you discover the optimal measurement. Third, the optimal measurement may generally depend on the target values of parameters, and thus may be impossible to perform for unknown target states. We present a method to circumvent these three obstacles. A class of quantum statistical models, which utilizes antiunitary symmetries or, equivalently, real density matrices, offers compatible multiparameter estimations. The symmetries accompany the target-independent optimal measurements for pure-state models. Based on this finding, we propose methods to implement antiunitary symmetries for quantum metrology schemes. We further introduce a function which measures antiunitary asymmetry of quantum statistical models as a potential tool to characterize quantumness of phase transitions.

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Section: Introductionmentioning

confidence: 99%

Imaginarity-free quantum multiparameter estimation

Miyazaki¹

2022

Quantum

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“…To compare with the sensitivity that is accessible by an optimal measurement strategy, we employ, as before, the full optimized expression (13). We obtain with j = N/2 and v = { √ p 1 , √ p 2 , ...}.…”

Section: Split Dicke Statesmentioning

confidence: 99%

“…The estimation of a single parameter, e.g., a phase shift in an atomic clock or interferometer, can be made more precise if the atomic spins are prepared in entangled superposition states that have lower quantum fluctuations than classical states. Recently, these ideas have been extended to the problem of multiparameter estimation, where a collective quantum enhancement from a simultaneous estimation of several parameters can be achieved [7][8][9][10][11][12][13][14]. While the sensitivity limits for general multiparameter scenarios are hard to determine due to the non-commutativity of the observables that provide maximal information on different parameters, this problem can be avoided when all parameters are encoded locally (i.e., the parameter-encoding Hamiltonians commute with each other) [15,16].…”

Section: Introductionmentioning

confidence: 99%

Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin states

Fadel¹,

Yadin²,

Mao³

et al. 2022

Preprint

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We identify the multiparameter sensitivity of split nonclassical spin states, such as spin-squeezed and Dicke states spatially distributed into several addressable modes. Analytical expressions for the spin-squeezing matrix of a family of states that are accessible by current atomic experiments reveal the quantum gain in multiparameter metrology, as well as the optimal strategies to maximize the sensitivity. We further study the mode entanglement of these states by deriving a witness for genuine k-partite mode entanglement from the spin-squeezing matrix. Our results highlight the advantage of mode entanglement for distributed sensing, and outline optimal protocols for multiparameter estimation with nonclassical spatially-distributed spin ensembles.

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“…A more intricate estimation problem is that of estimating both the rotation angle and rotation axis of an unknown rotation. This has been done using a variety of parametrizations for the three parameters of a rotation (Baumgratz and Datta, 2016;Friel et al, 2020;Goldberg and James, 2018;Goldberg et al, 2021d;Hou et al, 2020), which can all be unified from a geometrical perspective (Goldberg et al, 2021f).…”

Section: Rotations About Unknown Axesmentioning

confidence: 99%

“…When the weight matrix is chosen to be the metric tensor for SU(2), W = η, all of the matrices 𝐺 𝐺 𝐺 cancel and we are left with the scalar qCRB for the weighted mean-square error wMSE (Goldberg et al, 2021f) wMSE( θ…”

Section: Rotations About Unknown Axesmentioning

confidence: 99%

Quantum Polarimetry

Goldberg

2021

Preprint

Self Cite

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Polarization is one of light's most versatile degrees of freedom for both classical and quantum applications. The ability to measure light's state of polarization and changes therein is thus essential; this is the science of polarimetry. It has become ever more apparent in recent years that the quantum nature of light's polarization properties is crucial, from explaining experiments with single or few photons to understanding the implications of quantum theory on classical polarization properties. We present a self-contained overview of quantum polarimetry, including discussions of classical and quantum polarization, their transformations, and measurements thereof. We use this platform to elucidate key concepts that are neglected when polarization and polarimetry are considered only from classical perspectives.

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Intrinsic Sensitivity Limits for Multiparameter Quantum Metrology

Cited by 29 publications

References 67 publications

Imaginarity-free quantum multiparameter estimation

Imaginarity-free quantum multiparameter estimation

Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin states

Quantum Polarimetry

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