Effects of the reservoir squeezing on the precision of parameter estimation

TL;DR

This paper analytically investigates how reservoir squeezing influences the precision of quantum parameter estimation, demonstrating that squeezing can enhance Fisher information and reduce decay under certain phase conditions.

Contribution

It provides an exact analytic expression for quantum Fisher information considering reservoir squeezing effects, highlighting conditions for improved estimation precision.

Findings

Reservoir squeezing can increase quantum Fisher information.

Squeezing phase matching reduces Fisher information decay.

Enhanced estimation precision with squeezed reservoirs.

Abstract

The effects of reservoir squeezing on the precision of parameter estimation are investigated analytically based on non-perturbation procedures. The exact analytic quantum Fisher information (QFI) is obtained. It is shown that the QFI depends on the estimated parameter and its decay could be reduced by the squeezed reservoir compared with thermal (vacuum) reservoir, in particular, if the squeezing phase matching is satisfied.