An efficient scheme for generalized tripartite controlled teleportation of a two-quNit entangled state

A scheme for generalized controlled teleportation of an arbitrary two-quNit entangled state with N-dimensional partially Greenberger-Horne-Zeilinger (GHZ) state is proposed. A generalized Bell state measurement (BM) and a single-particle measurement in high dimensions are needed. According to the sender Alice's classical message, the receiver Charlie can restore the unknown two-quNit state with a certain probability by introducing an additional particle and performing a controlled-not (C-NOT) operation on his particles if she cooperates with the controller Bob. The total success probability and classical communication cost are calculated. We also generalize the scheme to the case where there are K controllers. It is shown that any one of the receivers can reconstruct the unknown state if he/she cooperates with all the controllers.