We analyze the quantum properties for the output state of the superposition coherent states with the opposite phase using a quantum scissor. From the perspectives of theoretical calculation and numerical analysis, we discuss the effects of the parameters of the quantum scissors device on different superposition coherent states, such as the probability of successful photon scissor, fidelity, signal gain and squeezing. An interesting finding is that when the input quantum states are even/odd coherent states, signal gain and squeezing for the output quantum state only depend on the amplitude and are independent of the parameters of the quantum scissors. In addition, the quantum properties for other superposition coherent states which are dependent of the amplitude of coherent and the transmittance of beam splitters are also discussed.

我们使用量子剪刀分析具有相反相位的叠加相干态的输出态的量子特性。我们从理论计算和数值分析的角度讨论了量子剪刀器件的参数对不同叠加相干态的影响，如光子剪刀成功的概率、保真度、信号增益和压缩。一个有趣的发现是，当输入量子态是偶数/奇数相干态时，输出量子态的信号增益和压缩仅取决于幅度，而与量子剪刀的参数无关。此外，还讨论了依赖于相干幅度和分束器透射率的其他叠加相干态的量子特性。