In this paper, we investigated the entanglement properties of the charge-pair cat states based on the linear entropy function. We used these states for the teleportation of a coherent state in two different measurements at the sender by using joint measurements of the quadrature amplitude and joint measurements of the photon number sum and phase difference. The investigated results of the fidelity show that the even charge-pair cat states are more suitable for teleportation in the way of the quadrature amplitude measurements. However, according to the results of the joint measurement of the photon-number sum and phase difference, both the even and odd charge-pair cat states are suitable for the teleportation process in the small amplitude of the coherent state.
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