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Quantum correlations typically decrease with increasing noise, althoughclassical correlators (CCors) may rise for a particular class of states withnoise. To analyse the behavior of classical correlation (CC) in the presence oflocal noise, we scrutinize the set of classical correlators, axiomatic CCmeasures like classical discord, and local work for Haar uniformly generatedstates. Like quantum correlation measures, we illustrate that when noise levelsrise, the average value of the CC measures for noisy output states obtainedfrom random input states decreases for most of the channels. We alsodemonstrate a connection between the CCors of the noise-affected multipartitestates that are produced and the CCors of the initial states that exhibitexponential, polynomial, and constant behavior as the noise level changes.Moreover, based on CCors of the generalised N-qubit W state as input, wedetermine a method to discriminate between the quantum channels, namely phasedamping, depolarizing, and amplitude damping channels. We also relateclassical, quantum, and total correlation measures that exhibit a comparablereaction to decoherence for generic states.

Classical correlations for Generic States are Fragile under Decoherence