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We will discuss the generalization of entropic uncertainty principles interms of a game. The game involves k-players, each measuring one of k possibleobservables. The question is, what is the maximum number of players that canplay such that their joint entropic uncertainties are tightened by the presenceof non-classical correlations? We answer this question and relate it to theratio of quantum mutual information to classical correlations. This game henceserves to construct an operational interpretation of the aforementioned ratio.It provides another example of quantum correlations providing a quantumadvantage.

Operational Interpretation of the Ratio of Total Correlations to Classical Correlations