Effects of the reservoir squeezing on the precision of parameter estimation

• Reservoir squeezing on the precision of parameter estimation was investigated.
• Analytic quantum Fisher information (QFI) was obtained.
• The decay of QFI could be reduced by the reservoir squeezing.

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.