  We consider quantum-information division, which is characterized by a channel
whose outputs have no correlation and are not completely randomized. We show
that the quantum-information division is possible in a probabilistic manner by
optimizing the average fidelity in the channel with $M$ outputs in both
deterministic and probabilistic cases. Moreover, we show that the optimal
fidelities drastically change depending on the condition imposed on the outputs
(symmetric and asymmetric), which is quite in contrast to the case of imperfect
cloning.
