  We show that the dynamic resource theory of quantum entanglement can be
formulated using the superchannel theory. In this formulation, we identify the
separable channels and the class of free superchannels that preserve channel
separability as free resources, and choose the swap channels as dynamic
entanglement golden units. Our first result is that the one-shot dynamic
entanglement cost of a bipartite quantum channel under the free superchannels
is bounded by the standard log-robustness of channels. The one-shot distillable
dynamic entanglement of a bipartite quantum channel under the free
superchannels is found to be bounded by a resource monotone that we construct
from the hypothesis-testing relative entropy of channels with minimization over
separable channels. We also address the one-shot catalytic dynamic entanglement
cost of a bipartite quantum channel under a larger class of free superchannels
that could generate the dynamic entanglement which is asymptotically
negligible; it is bounded by the generalized log-robustness of channels.
