“…The QFI is an effective tool in the estimation process when the inputs are the coherent state, Fock state, singlemode squeezed vacuum state, and single-mode squeezed coherent state, etc. [19][20][21][22][23][24][25][26][27][28] However, with an external phase reference beam in the detection process, the QFI can be different, which is observed by Jarzyna et al [19] In addition, Takeoka et al used a phase-averaging method to solve this problem. [23] Later, You et al claimed that the two-parameter phase estimation and the phase-averaging method is equivalent with specific inputs.…”