Quantum teleportation uses prior entanglement and forward classical communi
cation to transmit one instance of an unknown quantum state. Remote state p
reparation (RSP) has the same goal, but the sender knows classically what s
tate is to be transmitted. We show that the asymptotic classical communicat
ion cost of RSP is one bit per qubit-half that of teleportation-and even le
ss when transmitting part of a known entangled state. We explore the tradeo
ff between entanglement and classical communication required for RSP, and d
iscuss RSP capacities of general quantum channels.