Generation of a Four-Particle Cluster State and Perfect Teleportation of an Arbitrary Two-Particle State in an Ion-Trap System

We propose a scheme for generating a four-particle cluster state in an ion-trap system. The scheme is insensitive to the thermal motion of the ions, and needs less operations than previous ones. With such a setup, we also demonstrate a procedure for perfectly teleporting an arbitrary two-particle state via a single multipartite entanglement channel, a four-particle cluster state. (general)