The precision of parameter estimation for dephasing model under squeezed reservoir

TL;DR

This paper analyzes how squeezing in a reservoir influences the precision of parameter estimation in a dephasing model, revealing that squeezing can enhance the quantum Fisher information for phase estimation.

Contribution

The study provides analytical expressions for quantum Fisher information in a dephasing model under squeezed reservoirs, highlighting the impact of squeezing parameters on estimation precision.

Findings

QFI for amplitude parameter remains invariant

QFI for phase parameter depends on reservoir squeezing

Squeezing can enhance estimation precision with proper parameters

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 $\phi$. It is shown that the QFI for the amplitude parameter $\alpha$ is invariant in the whole process, while the QFI for the phase parameter $\phi$ 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.