Estimation of temperature in micromaser-type systems

Farajollahi, B.; Jafarzadeh, Mahnaz; Jahromi, Hossein Rangani; Amniat-Talab, M.

doi:10.1007/s11128-018-1887-9

Cited by 20 publications

(13 citation statements)

References 74 publications

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“…Conversely, the technical one is mostly represented by the accidental error, because of out-ofcontrol imperfections in the measurement process. Since quantum mechanics is the most fundamental, predictive, and successful theory describing small scale phenomena, an investigation of the measurement process as well as the ultimate achievable precision bounds has to be done under the light of such theory [1][2][3][4][5][6][7][8]. In fact, on the one hand, quantum theory determines fundamental limits on the estimate precision.…”

Section: Introductionmentioning

confidence: 99%

Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

Jahromi¹,

Radgohar²,

Hosseiny³

et al. 2021

Preprint

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Determining the energy levels of a quantum system is a significant task, for instance, to analyze reaction rates in drug discovery and catalysis or characterize the compatibility of materials. In this paper we exploit quantum metrology, the research field focusing on the estimation of unknown parameters exploiting quantum resources, to address this problem for a three-level system interacting with laser fields. The performance of simultaneous estimation of the levels compared to independent one is also investigated in various scenarios. Moreover, we introduce, the Hilbert-Schmidt speed (HSS), a special type of quantum statistical speed, as a powerful figure of merit for enhancing estimation of energy spectrum. This measure is easily computable, because it does not require diagonalization of the system state, verifying its efficiency in high-dimensional systems.

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Section: Introductionmentioning

confidence: 99%

Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

Jahromi¹,

Radgohar²,

Hosseiny³

et al. 2021

Preprint

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“…Techniques of quantum parameter estimation have been devoted to estimate the temperature in the context of quantum thermodynamics [6][7][8][9] and also for technological applications in many different branches of Science -ranging from Material Sciences to Biology and Medicine 10,11 . A central purpose is to employ a controlled quantum system (with view to applications in low temperature measurement 12 ) to explore the thermodynamics in the regime of small-scale physics [13][14][15][16] , where quantum effects become predominant [17][18][19] .…”

Section: Introductionmentioning

confidence: 99%

Temperature Estimation of an Entangled Pair of Trapped Ions

Neto

Costa

Prataviera

et al. 2021

Preprint

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We apply estimation theory to a system formed by two interacting trapped ions. By using the Fisher matrix formalism, we introduce a simple scheme for estimation of the temperature of the longitudinal vibrational modes of the ions. We use the ions interaction to effectively infer the temperature of the individual ions, by optimising the interaction time evolution and by measuring only over one of the ions. We also investigate the effect of a non-thermal reservoir over the inference approach. The non-classicality of one of the ions vibrational modes, introduced due to a squeezed thermal reservoir, improves the indirect inference of the individual temperatures.

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“…Representing the sensitivity of the state with respect to changes in a parameter, it plays an important role in parameter estimation theory and is extensively employed in QIP. In particular, the QFI has many applications in quantum information tasks such as entanglement detection [35,36], specifying the non-Markovianity [37–39], quantum thermometry [40] and consideration of uncertainty relations [41–43]. Hence it is of interest to study the QFI in a relativistic framework.…”

Section: Introductionmentioning

confidence: 99%

Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario

2020

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We address the teleportation of single- and two-qubit quantum states, parametrized by weight θ and phase ϕ parameters, in the presence of the Unruh effect experienced by a mode of a free Dirac field. We investigate the effects of the partial measurement (PM) and partial measurement reversal (PMR) on the quantum resources and quantum Fisher information (QFI) of the teleported states. In particular, we discuss the optimal behaviour of the QFI, quantum coherence (QC) as well as fidelity with respect to the PM and PMR strength and examine the effect of the Unruh noise on optimal estimation. It is found that, in the single-qubit scenario, the PM (PMR) strength at which the optimal estimation of the phase parameter occurs is the same as the PM (PMR) strength with which the teleportation fidelity and the QC of the teleported single-qubit state reaches its maximum value. On the other hand, generalizing the results to two-qubit teleportation, we find that the encoded information in the weight parameter is better protected against the Unruh noise in two-qubit teleportation than in the one-qubit scenario. However, extraction of information encoded in the phase parameter is more efficient in single-qubit teleportation than in the two-qubit version.

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Estimation of temperature in micromaser-type systems

Cited by 20 publications

References 74 publications

Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

Temperature Estimation of an Entangled Pair of Trapped Ions

Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario

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