M. Arsenijevic, J. Jeknic-Dugic, M. Dugic
Recent observation that almost all quantum states bear nonclassical correlations [A. Ferraro et al, Phys. Rev. A 81, 052318 (2010)] distinguishes the zero-discord classicality essentially as a rareness of the Markovian bipartite systems realm. This seems to be in contrast with decoherence-theory established classicality where classical states are robust and unavoidable. Nevertheless, we formally construct such a classical model and its variant that represents a matter-of-principle formal proof, i.e. a sufficient condition for the, otherwise not obvious, existence of the Markovian zero-discord classicality. Rigorous analysis suggests there is no alternative to classical model, aside approximate model which follows from relaxing rigid quantum information constraints on classical model. A need for the more elaborate and more systematic search for the alternative such models (if there any) reveals we are still learning about the very meaning of "classicality" in the realm of open quantum systems.
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http://arxiv.org/abs/1204.2789
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