Joint remote preparation of an arbitrary three-qubit state

In this paper, by constructing some useful measurement bases, we first show that two senders can jointly prepare a three-qubit state of complex coefficients to a remote receiver via the shared three GHZ states. Then, the success probability can be improved by using the permutation group to classify the preparation state. Furthermore, under some different measurement bases, we propose another scheme to jointly prepare a three-qubit state of real coefficients with less restrictions. Finally, the present schemes are extended to multi-sender, and the classical communication costs of all the schemes are also calculated.