  We analyze the fidelity of the generalized Pauli channels governed by memory
kernel master equations. It is shown that, by appropriate engineering of
parameters of the corresponding memory kernel, the quantum evolution with
non-local noise can have higher fidelity than the corresponding purely
Markovian evolution governed by the Markovian semigroup. Similar engineering
can substantially influence the evolution of quantum entanglement, entropy, and
quantum coherence.
