Probabilistic teleportation of an arbitrary two-particle state by a partial three-particle entangled GHZ state and a two-particle entangled state

We propose a scheme to teleport an arbitrary unknown two-particle state by a non-maximally three-particle entangled Greenberger--Horne--Zeilinger (GHZ) state and a non-maximally two-particle entangled state from a sender to either one of two receivers. We probabilistically teleport the arbitrary unknown two-particle state by performing two Bell-state measurements on the sender's side, introducing two appropriate unitary transformations on the receiver's side conditioned on a Hadamard operation and a projection measurement on the other possible receiver's side.