The optimal estimation state of one-axis twisting model

The possibility of estimating parameters and describing the optimal states induced from the one-axis twisting model on the thermal state was examined. The quantum Fisher information matrix be used as an estimator for multiple parameters. We demonstrate that concurrent estimation reduces parameter variance estimation; therefore, the precision of estimating parameters simultaneously is much better than estimating them individually. Saturation is imaged at significant temperatures, although it increases the minimum variations in reaction force. It is shown that each parameter can be used as a control parameter to reduce the minimum variances for other parameter