Abstract:
The scheme for teleportation of an unknown two-particle entangled GHZ type state via a three particle entangled GHZ state is presented, the unitary transformations corresponding to the measurement results of the sender are given in detail and the possibility of the total teleportation is one. In order to promote this scheme, the single controlled teleportation using four particle entangled GHZ state as a quantum channel is put forward, and we generalize this single controlled scheme to multiple controlled case. Based on studying single controlled tripartite teleportation via a six particle entangled GHZ state, the scheme of multiple controlled multiparty teleportation is proposed. In these controlled scheme, any one of the receivers can restore the original state with the help of the other receivers and controllers, but any one of the controllers cannot restore the original state by his/her own particle alone. We obtained the corresponding relationships among the unitary operations of reconstructing receiver, sender’s measurement results, controllers’ measurement results and the other receivers’ measurement results, and the total probability of successful teleportation is one.