Controlled Teleportation of Two-Particle Entanglement via a Cluster State

In order to teleport an unknown two-particle entangled state via a cluster state, a controlled teleportation scheme is proposed. It is shown that an unknown two-particle entangled state can be successfully transmitted from the sender Alice to the receiver Bob with the help of the supervisor Charlie via the only one four-particle cluster state. The receiver can reconstruct the teleported state according to the measurement results of the sender and supervisor. Quantum Controlled-NOT (CNOT) gate and POVM are used, which have been accomplished in a quantum experiment, so it is believed that this scheme will be realized by experiment. By analysis, the success probability of the proposed scheme reaches 1.0.