Controlled teleportation of multi-particle partially entangled state via a W state

We come up with a protocol for the controlled teleportation of an unknown multi-particle entangled state via a W state with a certain probability. One of the most important works in this paper is that all different unitary transformations performed by the receiver are summarized with a concise formula. On the other hand, we explicitly construct the efficient quantum circuits for implementing the proposed teleportation by means of universal quantum logic operations in quantum computation.