Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies
arXiv:2304.14296 · doi:10.1364/JOSAB.487744
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.
References in corpus (43)
- Quantifying Coherence
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Quantum Coherence as a Resource
- Measuring Quantum Coherence with Entanglement
- Observable measure of quantum coherence in finite dimensional systems
- Quantum enhanced measurements without entanglement
- Quantum Metrology for Gravitational Wave Astronomy
- Quantum Clock Synchronization Based on Shared Prior Entanglement
- The Ion Trap Quantum Information Processor
- Individual quantum probes for optimal thermometry
- Compatibility in Multiparameter Quantum Metrology
- Quantum sensing with arbitrary frequency resolution
- Multi-parameter Quantum Metrology
- Optical phase estimation in the presence of phase-diffusion
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Optimal quantum estimation of the Unruh-Hawking effect
- A tradeoff in simultaneous quantum-limited phase and loss estimation in interferometry
- Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
- Experimental estimation of one-parameter qubit gates in the presence of phase diffusion
- Phase estimation for thermal Gaussian states
- Towards superresolution surface metrology: Quantum estimation of angular and axial separations
- Entanglement-assisted quantum metrology
- Sub-shot-noise quantum metrology with entangled identical particles
- A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg model
- Aligning Reference Frames Using Quantum States
- Bayesian estimation of one-parameter qubit gates
- Statistical speed of quantum states: Generalized quantum Fisher information and Schatten speed
- Entangled quantum probes for dynamical environmental noise
- Optimal state for keeping reference frames aligned and the Platonic solids
- Entanglement is not very useful for estimating multiple phases
- Quantum estimation of a two-phase spin rotation
- Quantum probes for the characterization of nonlinear media
- The dynamics of local quantum uncertainty and trace distance discord for two-qubit X states under decoherence: a comparative study
- Cavity-induced mirror-mirror entanglement in a single-atom Raman laser
- Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
- Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators
- Universal evolution of non-classical correlations due to collective spontaneous emission
- Quantum Fisher information matrix in Heisenberg XY model
- Influence of Stark-shift on quantum coherence and non-classical correlations for two two-level atoms interacting with a single-mode cavity field
- Enhancing the performance of coupled quantum Otto thermal machines without entanglement and quantum correlations
- Enhancing the estimation precision of an unknown phase shift in multipartite Glauber coherent states via skew information correlations and local quantum Fisher information
- A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels
- Analytical techniques in single and multi-parameter quantum estimation theory: a focused review
Cited by in corpus (7)
- Bidirectional quantum teleportation of even and odd coherent states through the multipartite Glauber coherent state: Theory and implementation
- Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field
- Enhancing phase sensitivity in Mach-Zehnder interferometer with various detection schemes using SU(1,1) coherent states
- Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of -spin coherent states
- Impacts of Intrinsic Noise and Quantum Entanglement on the Geometric and Dynamical Properties of the XXZ Heisenberg Interacting Spin Model
- Quantum Phase Sensitivity with Generalized Coherent States Based on Deformed su(1,1) and Heisenberg Algebras
- Parity symmetry breaking of spin- coherent state superpositions in Gaussian noise channel