Optomechanical parameter estimation

Ang, Shan Zheng; Harris, Glen I.; Bowen, Warwick P.; Tsang, Mankei

doi:10.1088/1367-2630/15/10/103028

Cited by 18 publications

(16 citation statements)

References 47 publications

(91 reference statements)

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“…Recently, methods have been proposed to calculate these quantities in the stationary regime for certain relevant setups [22,23,28] or in the dynamical regime in the case of time-continuous homodyne and photon-counting measurements [24,25]. In particular, in order to evaluate the FI corresponding to a continuous homodyne detection, the method presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Genoni

2017

Phys. Rev. A

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We describe a compact and reliable method to calculate the Fisher information for the estimation of a dynamical parameter in a continuously measured linear Gaussian quantum system. Unlike previous methods in the literature, which involve the numerical integration of a stochastic master equation for the corresponding density operator in a Hilbert space of infinite dimension, the formulas here derived depend only on the evolution of first and second moments of the quantum states and thus can be easily evaluated without the need of any approximation. We also present some basic but physically meaningful examples where this result is exploited, calculating analytical and numerical bounds on the estimation of the squeezing parameter for a quantum parametric amplifier and of a constant force acting on a mechanical oscillator in a standard optomechanical scenario.

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Section: Introductionmentioning

confidence: 99%

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Genoni

2017

Phys. Rev. A

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“…Parameter estimation refers to the procedure of using measurement output to estimate the unknown parameters, which has caused a wide range of interests in quantum systems [1][2][3][4]. Since, in most quantum systems, the system state can be indirectly measured in general and classical estimation theories are hard to apply to the measurement output directly, it technically difficult to construct an estimator for some unknown parameters.…”

Section: Introductionmentioning

confidence: 99%

Binary discrimination in two-level quantum systems via hypothesis testing

Gong

Cui

2019

Phys. Rev. A

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We investigate the discrimination of two candidates of an unknown parameter in quantum systems with continuous weak measurement, inspired by the application of hypothesis testing in distinguishing two Hamiltonians [Kiilerich and Mølmer, Phys. Rev. A, 98, 022103 (2018)]. Based on the measurement output and stochastic master equation, temporal evolutions of posterior probabilities of two hypotheses are given by Bayes' formula. The Bayes criterion is presented by the likelihood ratio conditioned on the outcome of measurements. Different from the calculation method based on maximum a posteriori criterion, the Bayes criterion based method for calculating the average probability of making errors is more suitable and efficient in general situation of binary discrimination. Finally, an example of distinguishing two candidate Hamiltonians is given and the running times of calculating the average probability of error under the Bayes criterion and the maximum a posteriori criterion are compared to illustrate the feasibility of the hypothesis testing in quickly distinguishing two candidates of the parameter to be estimated.

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“…Quantum Fisher information has been widely studied theoretically and experimentally 7–18 . Quantum Fisher information has become a highly studied subject because it measures the phase sensitivity of the systems 19–23 . Moreover, quantum Fisher information in non-inertial frames has been investigated for different systems, such as the performance of quantum Fisher information under the Unruh-Hawking effect in the context of relativistic quantum information theory 24 , the dynamic of the teleported quantum Fisher information 25 , and the Unruh acceleration effect on the precision of parameter estimation for a general two-qubit system 26 .…”

Section: Introductionmentioning

confidence: 99%

Quantum Fisher information of atomic system interacting with a single cavity mode in the presence of Kerr medium

Zidan

Abdel-Hameed

Metwally

2019

Sci Rep

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The quantum Fisher information of an atomic system interacting with a single cavity mode in the presence of Kerr medium is discussed. It is shown that quantum Fisher information for an initial separable atomic system is larger than that depicted for the initial entangled atomic system. For initial vacuum state of the cavity mode, the quantum Fisher information with respect to the Kerr medium and the phase decoherence parameter is larger than that displayed for the detuning parameter. Both phase decoherence and Kerr medium have the same effect on the decay of quantum Fisher information, while they have an opposite effect on its maximum values.

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Optomechanical parameter estimation

Cited by 18 publications

References 47 publications

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems

Binary discrimination in two-level quantum systems via hypothesis testing

Quantum Fisher information of atomic system interacting with a single cavity mode in the presence of Kerr medium

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