  We propose a technique for robust optomechanical state transfer using
phase-tailored composite pulse driving with constant amplitude. Our proposal is
inspired by coherent control techniques in lossless driven qubits. We
demonstrate that there exist optimal phases for maximally robust excitation
exchange in lossy strongly-driven optomechanical state transfer. In addition,
our proposed composite phase driving also protects against random variations in
the parameters of the system. However, this driving can take the system out of
its steady state. For this reason, we use the ideal optimal phases to produce
smooth sequences that both maintain the system close to its steady state and
optimize the robustness of optomechanical state transfer.
