Abstract We focus on the phase sensitivities of three schemes with the input of the squeezed coherent state based on the Mach-Zehnder interferometer (MZI).
 By the usage of the balanced homodyne detection, the phase sensitivities of the schemes can beat the shot noise limit and reach the sub-Heisenberg limit. 
Both the phase sensitivity with the balanced homodyne detection and the quantum Cramer-Rao bound can be better by altering the combination of the two-mode squeezed parameter and the photon number of the coherent state. 
These schemes also have good robustness against the internal loss of the MZI and the loss of the photon detector. 
In the low squeezing parameter region, the phase sensitivity with the two-mode squeezed coherent state is the optimal among the three schemes. This work will play important roles in the field of quantum precision measurement.
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