Abstract
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.
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