Controlled teleportation of a multi-photon GHZ polarization-entangled state using linear optical elements

We propose a linear optical protocol for teleporting a multi(W)-photon Greenberger-Horne-Zeilinger (GHZ) polarization-entangled state from a sender to a receiver under control of a number of controllers in terms of optical elements. We show that the protocol can be successfully realized with a certain probability. This protocol has the advantage of transmitting much less particles and classical information for teleporting the W-photon GHZ polarization-state than others, and the protocol is based on linear optical elements and postselection strategy, which are feasible with existing experimental technology.