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The relative entropy of a correlated state and an uncorrelated referencestate is a reasonable measure for the degree of correlations. A key question ishowever which uncorrelated state to compare to. The relative entropy becomesminimal for the uncorrelated reference state that has the same one-particledensity matrix as the correlated state. Hence, this particular measure, coinednonfreeness, is unique and reasonable. We demonstrate that for relevantphysical situations, such as finite temperatures or a correlation enhancedorbital splitting, other choices of the uncorrelated state, even educatedguesses, overestimate correlations.

Physics behind the minimum of relative entropy measures for correlations