Engineering fidelity of the generalized Pauli channels via legitimate memory kernels

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 nonlocal 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. Interestingly, by adding a nonlocal noise, one can protect the system against a sudden death of entanglement.