量子态和算符可以完整地描述系统的量子性质，它们在量子理论中起着重要作用. 本文基于量子力学中最基本的坐标、动量表象，构造了一类新颖的不对称积分型投影算符，其为厄米算符. 利用有序算符内的积分技术，得到了该厄米算符的正规乘积形式.  进而证明了该厄密算符恰好对应于光学MachZehnder干涉仪相位估计中的宇称测量方案，给出了其物理对应. 

Quantum states together with operators provide the statistical description of any property of the system，which play important role in quantum theory. Based on coordinate and momentum quantum representations，a new kind of asymmetric integral projection operators is introduced，which is proved to be the Hermitian operator. By means of the technique of integration within an ordered product of operators，we obtain the normal ordering form of such Hermitian operator. In addition，it has been proved that such Herimtian operator corresponds to the parity measurement of the phase estimation in a MachZehnder interferometer .