The Precision of Parameter Estimation for Dephasing Model Under Squeezed Reservoir

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