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