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This experimental study aims to investigate the convex combinations of Paulisemigroups with arbitrary mixing parameters to determine whether the resultingdynamical map exhibits Markovian or non-Markovian behavior. Specifically, weconsider the cases of equal as well as unequal mixing of two Pauli semigroups,and demonstrate that the resulting map is always non-Markovian. Additionally,we study three cases of three-way mixing of the three Pauli semigroups anddetermine the Markovianity or non-Markovianity of the resulting maps byexperimentally determining the decay rates. To simulate the non-unitarydynamics of a single qubit system with different mixing combinations of Paulisemigroups on an NMR quantum processor, we use an algorithm involving twoancillary qubits. The experimental results align with the theoreticalpredictions.

Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor