Remote preparation of a three-particle state via positive operator-valued measurement

We present a scheme to remotely prepare an arbitrary three-particle pure state in real Hilbert space by using three bipartite partially entangled pairs as a quantum channel, and then generalize it to the tripartite equatorial-like case. Our results show that remote preparation of the three-particle state both in real space and in imaginary space can be probabilistically achieved with unity fidelity by performing an appropriate three-particle projective measurement at the sender's side and an optimal positive operator-valued measurement at the receiver's side. Moreover, the probability of success of our scheme is determined by the smaller parameters of the three initial entangled pairs.