Classical information deficit and monotonicity on local operations

Barbara Synak-Radtke, Micha Horodecki
2004 Journal of Physics A: Mathematical and General  
We investigate classical information deficit: a candidate for measure of classical correlations emerging from thermodynamical approach initiated in [Phys. Rev. Lett 89, 180402]. It is defined as a difference between amount of information that can be concentrated by use of LOCC and the information contained in subsystems. We show nonintuitive fact, that one way version of this quantity can increase under local operation, hence it does not possess property required for a good measure of classical
more » ... correlations. Recently it was shown by Igor Devetak, that regularised version of this quantity is monotonic under LO. In this context, our result implies that regularization plays a role of "monotoniser".
doi:10.1088/0305-4470/37/47/015 fatcat:jnzxzmdchzhqlbcn2ddz53wrju