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We analyze the fidelity of the generalized Pauli channels governed by memorykernel master equations. It is shown that, by appropriate engineering ofparameters of the corresponding memory kernel, the quantum evolution withnon-local noise can have higher fidelity than the corresponding purelyMarkovian evolution governed by the Markovian semigroup. Similar engineeringcan substantially influence the evolution of quantum entanglement, entropy, andquantum coherence.

Engineering fidelity of the generalized Pauli channels via legitimate memory kernels