Fundamental limits for reciprocal and nonreciprocal non-Hermitian quantum sensing

Bao, Liying; Qi, Bo; Dong, Dezun; Nori, Franco

doi:10.1103/physreva.103.042418

Cited by 40 publications

(18 citation statements)

References 58 publications

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“…Our results suggest that one could probe criticality in non-Hermitian systems by measuring a few elements of the MQI spectrum, the latter ruling the coherence orders that buildup the density matrix. The results in the paper find applications in the subject of non-Hermitian quantum thermodynamics [110], and in the study of enhancing quantum sensing with non-Hermitian systems [43,44].…”

Section: Discussionmentioning

confidence: 90%

“…Among them, physical systems which can be described by non-hermitian Hamiltonians are particularly important. Indeed, non-Hermitian systems are becoming a central focus of research in optics [7][8][9][10][11][12][13][14][15][16], photonics [17][18][19][20], quantum many-body systems [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40], quantum metrology [41][42][43][44][45], and systems with topological order [46][47][48][49][50][51][52][53][54][55][56]…”

Section: Introductionmentioning

confidence: 99%

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Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences

Pires,

Macrì

2021

Preprint

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Section: Discussionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences

Pires,

Macrì

2021

Preprint

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“…Note that the output noise ( 20) is complex due to the exponent e iω L τ , which is in contrast to Refs. [Lau and Clerk (2018); Bao et al (2021)]. However, one can define its real part Re(N ) as the measured noise.…”

Section: Signal Noise and Signal-to-noise Ratio Per Photonmentioning

confidence: 99%

Giant-cavity-based quantum sensors with enhanced performance

Zhu,

Wu,

Peng

et al. 2022

Preprint

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Recent progresses have revealed that quantum systems with multiple position-dependent couplings, e.g., giant atoms, can exhibit some unconventional phenomena, such as nonexponential decay etc. However, their potential applications are still open questions. In this paper, we propose a giant-cavity-based quantum sensor for the first time, whose performance can be greatly enhanced compared to traditional cavity-based sensors. In our proposal, two cavities couple to a dissipative reservoir at multiple points while they couple to a gain reservoir in a single-point way. To detecting a unknown parameter using this sensor, a waveguide is coupled to one of the cavities where detecting fields can pass through for homodyne detection. We find that multiple position-dependent couplings can induce an inherent non-reciprocal coupling between the cavities, which can enhance the performance of sensors. Output noise in our scheme can be reduced to the shot noise level, which is about one order magnitude lower than the results in Ref. [Lau and Clerk (2018)]. Besides, the signal-to-noise ratio per photon is also enhanced by about one order of magnitude. These results show that the multiple-point-coupling structure is beneficial to nowadays quantum devices.

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“…However, to make comparisons between different sensors fair, we need to further constrain used resources during the measurement. In this paper, as in [3,8,37] we take the SNR per photon…”

Section: B Signal-to-noise Ratio Per Photonmentioning

confidence: 99%

“…It allows to arbitrarily exceed the fundamental limit constraining any reciprocal sensors. In [8], by introducing two coherent drives, a uniform bound concerning the best possible measurement rate per photon was set up for both reciprocal and nonreciprocal sensors. It was shown that by focusing on a two-mode system, the bound is approximately attainable and can, in principle, be made arbitrarily large.…”

Section: Introductionmentioning

confidence: 99%

Exponentially-enhanced Quantum Non-Hermitian Sensing via Optimized Coherent Drive

Bao

Qi²,

Dong³

2021

Preprint

Self Cite

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Distinct non-Hermitian dynamics has demonstrated its advantages in improving measurement precision over traditional sensing protocols. Multi-mode non-Hermitian lattice dynamics can provide exponentially-enhanced quantum sensing where the quantum Fisher information (QFI) per photon increases exponentially with the lattice size. However, somewhat surprisingly, it was also shown that the quintessential non-Hermitian skin effect does not provide any true advantage. In this paper, we demonstrate the importance of optimizing the phase of the coherent drive, and the position of the injection and detection in multi-mode non-Hermitian quantum sensing. The QFI per photon can be exponentially-enhanced or exponentially-reduced depending on parameters of the drive and detection. Specifically, it is demonstrated that for large amplification by choosing appropriate coherent drive parameters, the non-Hermitian skin effect can provide exponentiallyenhanced quantum sensing. Moreover, in the regime beyond linear response, skin-effect can also provide a dramatic advantage as compared to the local perturbation, and the proposed protocol is robust in tuning the amplification factor.

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Fundamental limits for reciprocal and nonreciprocal non-Hermitian quantum sensing

Cited by 40 publications

References 58 publications

Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences

Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences

Giant-cavity-based quantum sensors with enhanced performance

Exponentially-enhanced Quantum Non-Hermitian Sensing via Optimized Coherent Drive

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