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In this paper we use the Fano representation of two-qubit states from whichwe can identify a correlation matrix containing the information about theclassical and quantum correlations present in the bipartite quantum state. Toillustrate the use of this matrix, we analyze the behavior of the correlationsunder non-dissipative decoherence in two-qubit states with maximally mixedmarginals. From the behavior of the elements of the correlation matrix beforeand after making measurements on one of the subsystems, we identify theclassical and quantum correlations present in the Bell-diagonal states. Inaddition, we use the correlation matrix to study the phenomenon known asfreezing of quantum discord. We find that under some initial conditions wherefreezing of quantum discord takes place, quantum correlation instead may remainnot constant. In order to further explore into these results we also compute anon-commutativity measure of quantum correlations to analyze the behavior ofquantum correlations under non-dissipative decoherence. We conclude from ourstudy that freezing of quantum discord may not always be identified asequivalent to the freezing of the actual quantum correlations.

Behavior of quantum correlations under nondissipative decoherence by means of the correlation matrix