  How to uses shared entanglement and forward classical communication to
remotely prepare an arbitrary (mixed or pure) state has been fascinating
quantum information scientists. A constructive scheme has been given by Berry
for remotely preparing a general pure state with a pure entangled state and
finite classical communication. Based on this scheme, for high-dimensional
systems it is possible to use a coding of the target state to optimize the
classical communication cost. Unfortunately, for low-dimensional systems such
as a pure qubit the coding method is inapplicable. Because qubit plays a
central role in quantum information theory, we propose an optimization
procedure which can be used to minimize the classical communication cost in the
remote preparation of a general pure qubit. Interestingly, our optimization
procedure is linked to the uniform arrangement of $N$ points on the Bloch
sphere, which provides a geometric description.
