  Known quantum pure states of a qudit can be remotely prepared onto a group of
particles of qubits exactly or probabilistically with the aid of two-level
Einstein-Podolsky-Rosen states. We present a protocol for such kind of remote
state preparation. We are mainly focused on the remote preparation of the
ensembles of equatorial states and those of states in real Hilbert space. In
particular, a kind of states of qudits in real Hilbert space have been shown to
be remotely prepared in faith without the limitation of the input space
dimension.
