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We quantitatively investigate phase measurement in a Mach-Zehnderinterferometer (MZI), which is injected with a weak coherent and a squeezedvacuum generated from a spontaneous parametric down-conversion. The measuredthree-photon coincidence in this system is quantified as a function of a ratiobetween the amplitude of the coherent state and the squeezed parameter ofsqueezed vacuum when the photon number is detected at one output of MZI. Itshows that the phase sensitivity reaches the Heisenberg limit when an optimalratio is chosen. This may introduce one approach to quantify phase sensitivityin precision phase measurement.

Precision phase measurement in Mach-Zehnder interferometer with three-photon by using a weak coherent and a squeezed vacuum state