Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies

• URL: http://arxiv.org/abs/2304.14296v1
• Date: Thu, 27 Apr 2023 15:59:06 GMT
• Title: Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies
• Authors: Nour-Eddine Abouelkhir, Abdallah Slaoui, Hanane El Hadfi and Rachid Ahl Laamara
• Abstract summary: The Hilbert-Schmidt speed, as a special class of quantum statistical speed, has been reported to improve the interferometric phase in single- parameter quantum estimation. We compare the performance of laser phase parameters estimation in individual and simultaneous metrological strategies. quantum coherence is a crucial resource to improve the accuracy of a metrological protocol.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: Recently, the Hilbert-Schmidt speed, as a special class of quantum statistical speed, has been reported to improve the interferometric phase in single-parameter quantum estimation. Here, we test this concept in the multiparameter scenario where two laser phases are estimated in a theoretical model consisting of a three-level atom interacting with two classical monochromatic fields. When the atom is initially prepared in the lower bare state taking into account the detuning parameters, we extract an exact analytical solution of the atomic density matrix in the case of two-photon resonant transition. Further, we compare the performance of laser phase parameters estimation in individual and simultaneous metrological strategies, and we explore the role of quantum coherence in improving the efficiency of unknown multi-phase shift estimation protocols. The obtained results show that the Hilbert-Schmidt speed detects the lower bound on the statistical estimation error as well as the optimal estimation regions, where its maximal corresponds to the maximal quantum Fisher information, the performance of simultaneous multiparameter estimation with individual estimation inevitably depends on the detuning parameters of the three-level atom, and not only the quantum entanglement, but also the quantum coherence is a crucial resource to improve the accuracy of a metrological protocol.

Related papers

• Criticality-Enhanced Quantum Sensing with a Parametric Superconducting Resonator [0.0]
  We implement a critical quantum sensor using a superconducting parametric (i.e., two-photon driven) Kerr resonator. We show that quadratic precision scaling with respect to the system size can be achieved with finite values of the Kerr nonlinearity.
  arXiv  Detail & Related papers  (2024-09-30T05:43:08Z)
• Quantum multiparameter estimation enhanced by a topological phase transition [3.188072216541844]
  In a quantum dynamics system, multiple to-be-estimated parameters are encoded by a unitary evolution. As the parameters vary, the system may undergo a topological phase transition (TPT) We propose the singular behavior of the quantum metric tensor around the TPT point as a tool for the simultaneous optimal estimation of multiple parameters.
  arXiv  Detail & Related papers  (2024-02-11T02:52:39Z)
• Amplification of quantum transfer and quantum ratchet [56.47577824219207]
  We study a model of amplification of quantum transfer and making it directed which we call the quantum ratchet model. The ratchet effect is achieved in the quantum control model with dissipation and sink, where the Hamiltonian depends on vibrations in the energy difference synchronized with transitions between energy levels. Amplitude and frequency of the oscillating vibron together with the dephasing rate are the parameters of the quantum ratchet which determine its efficiency.
  arXiv  Detail & Related papers  (2023-12-31T14:04:43Z)
• Variational quantum metrology for multiparameter estimation under dephasing noise [0.8594140167290099]
  We present a hybrid quantum-classical variational scheme to enhance precision in quantum metrology. We discuss specific applications to 3D magnetic field sensing under several dephasing noise modes.
  arXiv  Detail & Related papers  (2023-05-15T01:09:58Z)
• Multiparameter estimation of continuous-time Quantum Walk Hamiltonians through Machine Learning [0.0]
  We describe a continuous-time quantum walk over a line graph with $n$-neighbour interactions using a deep neural network model. We find that the neural network acts as a nearly optimal estimator both when the estimation of two or three parameters is performed.
  arXiv  Detail & Related papers  (2022-11-10T15:03:21Z)
• Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms [76.15799379604898]
  Quantum phase estimation suffers from spectral leakage when the reciprocal of the record length is not an integer multiple of the unknown phase. We propose a dual-frequency estimator, which approaches the Cramer-Rao bound, when multiple samples are available.
  arXiv  Detail & Related papers  (2022-01-23T17:20:34Z)
• Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes [0.0]
  We exploit quantum metrology research field focusing on estimation of unknown parameters exploiting quantum resources. We introduce the Hilbert-Schmidt speed (SHS), a special type of quantum statistical speed, as a powerful figure of merit for enhancing estimation of energy spectrum.
  arXiv  Detail & Related papers  (2021-10-19T20:45:29Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit [58.720142291102135]
  Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties. We experimentally study a synthetic quantum Hall effect with a two-tone drive.
  arXiv  Detail & Related papers  (2020-04-07T15:00:41Z)
• In and out of equilibrium quantum metrology with mean-field quantum criticality [68.8204255655161]
  We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
  arXiv  Detail & Related papers  (2020-01-09T19:20:42Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.