Multiparameter quantum critical metrology

Fresco, Giovanni Di; Spagnolo, Bernardo; Valenti, Davide; Carollo, Angelo

doi:10.21468/scipostphys.13.4.077

Cited by 14 publications

(2 citation statements)

References 93 publications

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“…Additionally, quantum super-resolution for resolving two incoherent point sources of light [ 11 , 49 , 50 ] and many estimation problems concerning Gaussian quantum states [ 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 ] can be cast as multiparameter estimation problems. Given this motivation, there has been significant experimental [ 59 , 60 , 61 , 62 , 63 ] and theoretical [ 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80 , 81 , 82 , 83 , 84 , 85 ] interest in quantum multiparameter estimation. See Refs.…”

Section: Introductionmentioning

confidence: 99%

Multiparameter Estimation with Two-Qubit Probes in Noisy Channels

Conlon

Lam

Assad

2023

Entropy

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This work compares the performance of single- and two-qubit probes for estimating several phase rotations simultaneously under the action of different noisy channels. We compute the quantum limits for this simultaneous estimation using collective and individual measurements by evaluating the Holevo and Nagaoka–Hayashi Cramér-Rao bounds, respectively. Several quantum noise channels are considered, namely the decohering channel, the amplitude damping channel, and the phase damping channel. For each channel, we find the optimal single- and two-qubit probes. Where possible we demonstrate an explicit measurement strategy that saturates the appropriate bound and we investigate how closely the Holevo bound can be approached through collective measurements on multiple copies of the same probe. We find that under the action of the considered channels, two-qubit probes show enhanced parameter estimation capabilities over single-qubit probes for almost all non-identity channels, i.e., the achievable precision with a single-qubit probe degrades faster with increasing exposure to the noisy environment than that of the two-qubit probe. However, in sufficiently noisy channels, we show that it is possible for single-qubit probes to outperform maximally entangled two-qubit probes. This work shows that, in order to reach the ultimate precision limits allowed by quantum mechanics, entanglement is required in both the state preparation and state measurement stages. It is hoped the tutorial-esque nature of this paper will make it easily accessible.

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Section: Introductionmentioning

confidence: 99%

Multiparameter Estimation with Two-Qubit Probes in Noisy Channels

Conlon

Lam

Assad

2023

Entropy

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“…On the one hand, the QFI is a measure of the sensitivity of a quantum system to small changes in a parameter. As such, the QFI has been widely exploited to signal and characterise the critical behaviour of equilibrium [16][17][18][19][20][21][22][23][24][25][26][27][28][29] as well as non-equilibrium QPTs [30]. It is thus natural to ask whether and how the QFI may respond to critical transitions when the latter are driven by measuring processes.…”

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confidence: 99%

Metrology and multipartite entanglement in measurement-induced phase transition

Fresco¹,

Spagnolo²,

Valenti³

et al. 2023

Preprint

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Photon‐Assisted Quantum Phase Transitions in a Cavity Optomechanical System with Two Nonlinear Mechanical Modes

Jiang,

Zhang,

Liu

et al. 2024

Annalen der Physik

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Photon‐assisted quantum phase transitions (QPTs) are studied in a cavity optomechanical system that consists of one optical cavity and two nonlinear mechanical resonators and explore ground‐state properties of quantum phases. It is indicated that the cavity mode can induce effective two‐phonon tunneling interaction between two mechanical resonators. It is found that QPTs between the localization phase (LP) and delocalization phase (DP) of phonons can happen through tuning the phonon tunneling interaction. It is shown that the photon‐assisted QPT is the second order QPT. Ground‐state properties of the quantum phases are also investigated. It is indicated that the ground state of the LP is a separable squeezed state while the ground state of the DP is an entangled state. The results open a new way to engineer quantum phases and QPTs in macroscopic mechanical systems and can benefit a wide range of criticality‐enhanced quantum sensing applications.

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Multiparameter quantum critical metrology

Cited by 14 publications

References 93 publications

Multiparameter Estimation with Two-Qubit Probes in Noisy Channels

Multiparameter Estimation with Two-Qubit Probes in Noisy Channels

Metrology and multipartite entanglement in measurement-induced phase transition

Photon‐Assisted Quantum Phase Transitions in a Cavity Optomechanical System with Two Nonlinear Mechanical Modes

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