Conditional Generation Scheme for Entangled Vacuum Evacuated Coherent States by Mixing Two Coherent Beams with a Squeezed Vacuum State

Conditions to generate high-purity entangled vacuum-evacuated coherent states ($\mathrm{\mid }0>\mathrm{\mid }\alpha {>}^0-\mathrm{\mid }-\alpha {>}^0\mathrm{\mid }0>$ were studied for two cascade-placed beam splitters, with one squeezed state input and two coherent state inputs whenever a single photon is detected. Controlling the amplitudes and the phases of the beams allows for various amplitudes of the vacuum-evacuated coherent states ($\mathrm{\mid }\alpha {>}^0=\mathrm{\mid }\alpha >-e^{-\mathrm{\mid }\alpha {\mathrm{\mid }}^2}\mathrm{\mid }0>$) up to $\alpha =2.160$ to be manipulated with high-purity.