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In this work we developed a general approach to the problem of detecting andquantifying different kind of correlations in bipartite quantum systems. Ourmethod is based on the use of distances between quantum states and processes.We rely upon the premise that total correlations can be separated intoclassical and quantum contributions due to their different nature. In addition,according to recently discussed criteria, we determined the requirements to besatisfied by distances in order to generate correlation measures physicallywell behaved. The proposed measures allow us to quantify quantum, classical andtotal correlations.

Generalized approach to quantify correlations in bipartite quantum systems