  A fundamental problem in resource theory is to study the manipulation of the
resource. Focusing on a general dynamical resource theory of quantum channels,
here we consider tasks of one-shot resource distillation and dilution with a
single copy of the resource. For any target of unitary channel or pure state
preparation channel, we establish a universal strategy to determine upper and
lower bounds on rates that convert between any given resource and the target.
We show that the rates are related to resource measures based on the channel
robustness and the channel hypothesis testing entropy, with regularization
factors of the target resource measures. The strategy becomes optimal with
converged bounds when the channel robustness is finite and measures of the
target resource collapse to the same value. The single-shot result also applies
to asymptotic parallel manipulation of channels to obtain asymptotic resource
conversion rates. We give several examples of dynamical resources, including
the purity, classical capacity, quantum capacity, non-uniformity, coherence,
and entanglement of quantum channels. Our results are applicable to general
dynamical resource theories with potential applications in quantum
communication, fault-tolerant quantum computing, and quantum thermodynamics.
