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In this letter, we propose a novel statistical method to measure which systemis better suited to probe small deviations from the usual quantum behavior.Such deviations are motivated by a number of theoretical and phenomenologicalmotivations, and various systems have been proposed to test them. We proposethat measuring deviations from quantum mechanics for a system would be easierif it has a higher Kullback Leibler divergence. We show this explicitly for anonlocal Schrodinger equation and argue that it will hold for any modificationto standard quantum behaviour. Thus, the results of this letter can be used toclassify a wide range of theoretical and phenomenological models.

Classifying deviation from standard quantum behavior using Kullback Leibler divergence