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We propose various protocols for joint remotely prepare a four-dimensionalquantum state by using two- and three-particle four-dimensional entangled stateas the quantum channel. The single- and two-particle generalized projectivemeasurement and the appropriate unitary operation are needed in our protocols.It is shown that the receiver can reconstruct the unknown original state onlyif two senders collaborate with each other.

Joint remote preparation of a four-dimensional quantum state