Operational significance of nonclassicality in nonequilibrium Gaussian quantum thermometry

Mirkhalaf, Safoura S.; Mehboudi, Mohammad; Rahimi-Keshari, Saleh

doi:10.48550/arxiv.2207.10742

Cited by 3 publications

(3 citation statements)

References 32 publications

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“…As such, the total Fisher information is equivalent to τ F[p x (t)]/t. Putting the constant τ aside, and following [8,16,44,[68][69][70][71], in this case our effective figure of merit will be shifted to the rate of the Fisher information defined as…”

Section: Fisher Information Ratementioning

confidence: 99%

Strongly coupled fermionic probe for nonequilibrium thermometry

Ravell Rodríguez,

Mehboudi,

Horodecki

et al. 2024

New J. Phys.

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We characterise the measurement sensitivity, quantified by the Quantum Fisher Information (QFI), of a single-fermionic thermometric probe strongly coupled to the sample of interest, a fermionic bath, at temperature T. For nonequilibrium protocols, in which the probe is measured before reaching equilibrium with the sample, we find new behaviour of the measurement sensitivity arising due to non-Markovian dynamics. First, we show that the QFI displays a highly non-monotonic behaviour in time, in contrast to the Markovian case where it grows monotonically until equilibrium, so that non-Markovian revivals can be exploited to reach a higher QFI. Second,the QFI rate is maximised at a finite interrogation time t, which we characterize, in contrast to the solution t→0 known in the Markovian limit [Quantum 6, 869 (2022)]. Finally, we consider probes make up of few fermions and discuss different collective enhancements in the measurement precision.

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Section: Fisher Information Ratementioning

confidence: 99%

Strongly coupled fermionic probe for nonequilibrium thermometry

Ravell Rodríguez,

Mehboudi,

Horodecki

et al. 2024

New J. Phys.

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“…We also observe that the quantum advantage is lost at later times. This is expected for systems subjected to decoherence arising from thermal noises [ 31 ]. These results are in agreement with those obtained in [ 10 ], where, considering the same set-up with the same choice of parameters, a quantum advantage at short times was proven for (quantum) hypothesis testing aimed at certifying the presence of the CLS collapse mechanism.…”

Section: Dynamical Analysismentioning

confidence: 99%

Optomechanics-Based Quantum Estimation Theory for Collapse Models

Marchese

Belenchia

Paternostro

2023

Entropy

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We make use of the powerful formalism of quantum parameter estimation to assess the characteristic rates of a continuous spontaneous localization (CSL) model affecting the motion of a massive mechanical system. We show that a study performed in non-equilibrium conditions unveils the advantages provided by the use of genuinely quantum resources—such as quantum correlations—in estimating the CSL-induced diffusion rate. In stationary conditions, instead, the gap between quantum performance and a classical scheme disappears. Our investigation contributes to the ongoing effort aimed at identifying suitable conditions for the experimental assessment of collapse models.

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“…Relevant experimental realization of probe thermometry include single-atom probes for ultracold gases [7][8][9], NV centers acting as thermometers of living cells [10,11], and nanoscale electron calorimeters [12][13][14]. Theoretically, much progress has been achieved on characterizing the fundamental precision limits of probe thermometry in frequentist and Bayesian approaches [15][16][17][18][19][20][21][22][23], the precision scaling at ultralow temperatures [24][25][26][27][28], the impact of strong coupling and correlations [29][30][31][32][33][34], measurement back action [35,36], as well as enhanced sensing via non-equilibrium probes [37][38][39][40][41][42][43][44][45][46]. While providing remarkable progress on our understanding of thermometry, previous works are based on the assumption that the probe is measured and subsequently reset or discarded.…”

Section: Introductionmentioning

confidence: 99%

Probe thermometry with continuous measurements

Boeyens,

Annby-Andersson,

Bakhshinezhad

et al. 2023

New J. Phys.

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Temperature estimation plays a vital role across natural sciences. A standard approach is provided by probe thermometry, where a probe is brought into contact with the sample and examined after a certain amount of time has passed. In situations where, for example, preparation of the probe is non-trivial or total measurement time of the experiment is the main resource that must be optimized, continuously monitoring the probe may be preferred. Here, we consider a minimal model, where the probe is provided by a two-level system coupled to a thermal reservoir. Monitoring thermally activated transitions enables real-time estimation of temperature with increasing accuracy over time. Within this framework we comprehensively investigate thermometry in both bosonic and fermionic environments employing a Bayesian approach. Furthermore, we explore adaptive strategies and find a significant improvement on the precision. Additionally, we examine the impact of noise and find that adaptive strategies may suffer more than non-adaptive ones for short observation times. While our main focus is on thermometry, our results are easily extended to the estimation of other environmental parameters, such as chemical potentials and transition rates.

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Operational significance of nonclassicality in nonequilibrium Gaussian quantum thermometry

Cited by 3 publications

References 32 publications

Strongly coupled fermionic probe for nonequilibrium thermometry

Strongly coupled fermionic probe for nonequilibrium thermometry

Optomechanics-Based Quantum Estimation Theory for Collapse Models

Probe thermometry with continuous measurements

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