The effects of different quantum feedback types on the estimation precisionof the detection efficiency are studied. It is found that the precision can bemore effective enhanced by a certain feedback type through comparing thesefeedbacks and the precision has a positive relation with detection efficiencyfor the optimal feedback when the system reach the state of dynamic balance. Inaddition, the bigger the proportion of is the higher the precision is and wewill not obtain any information about the parameter to be estimated if ischosen as initial state for the feedback type {\lambda}{\sigma}_z.
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