Deterministic joint remote preparation of arbitrary four-particle genuine entangled state

A novel deterministic joint remote preparation scheme of arbitrary four-particle genuine entangled state from one sender to either of two receivers is proposed. Two three-particle Green-Horne-Zeilinger (GHZ) states and one four-particle GHZ state are used as the quantum channel. The presented scheme is realized through orthogonal projective measurement of the Hadamard transferred basis and recovery operation U|ijk〉. Some useful and general measurement bases have been constructed. The classical communication cost of the presented scheme is also calculated. Our analysis confirms the feasibility and validity of the proposed method, and shows that it has a 100% probability of success in preparation of the target quantum state.