  A unified theory is given of dynamically modified decay and decoherence of
field-driven multilevel multipartite entangled states that are weakly coupled
to zero-temperature baths or undergo random phase fluctuations. The theory
allows for arbitrary local differences in their coupling to the environment.
Due to such differences, the optimal driving-field modulation to ensure maximal
fidelity is found to substantially differ from conventional ``Bang-Bang'' or
$\pi$-phase flips of the single-qubit evolution.
