Entanglement teleportation through GHZ-class states

Abstract

We first consider teleportation of entangled states shared between Claire and Alice to Bob1 and Bob2 when Alice and the two Bobs share a single copy of a GHZ state and where all the four parties are at distant locations. We extend this result to a more general state than GHZ-state and show that still a class of pure entangled states can be teleported, where the entanglement of this class ranges from 0 to e (≤1), depending on the entanglement (defined in the text) of the channel state. We then generalize this situation to the case of teleportation of entangled states shared between Claire1, Claire2, ..., Claire(N - 1) and Alice to Bob1, Bob2, ..., BobN when Alice and the N Bobs share a single copy of a GHZ-class state and where again all the 2N parties are at distant locations.