The precision of parameter estimation for dephasing model under squeezed reservoir

Abstract

We study the precision of parameter estimation for dephasing model under squeezed environment. We analytically calculate the dephasing factor $\gamma (t)$ and obtain the analytic quantum Fisher information (QFI) for the amplitude parameter $\alpha$ and the phase parameter $\varphi$. It is shown that the QFI for the amplitude parameter $\alpha$ is invariant in the whole process, while the QFI for the phase parameter $\varphi$ strongly depends on the reservoir squeezing. It is shown that the QFI can be enhanced for appropriate squeeze parameters $r$ and $\theta$. Finally, we also investigate the effect of temperature on the QFI.

References in corpus (8)

• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Using entanglement against noise in quantum metrology
• Fisher information under decoherence in Bloch representation
• Quantum fisher information in noninertial frames
• Quantum metrology for relativistic quantum fields
• Coherence trapping and information back-flow in dephasing qubits
• Relativistic Quantum Metrology in Open System Dynamics
• Quantum metrology and estimation of Unruh effect

Cited by in corpus (2)

• Quantum speed limit for the maximum coherent state under squeezed environment
• Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed