A. C. S. Costa, R. M. Angelo
Generalized measurement-induced correlations are derived by taking the Bayes rule as fundamental principle. Proven non-negative and limited from above, the resulting quantifiers have shown to admit operational interpretation in terms of the efficiency of quantum and classical demons in allowing for the extraction of generalized work from a heat bath. The link with discord is established by adopting the $q$-entropy as entropic principle. This allows us to reproduce, within a one-parameter formalism, both the entropic and the geometric measures of discord. Besides offering a unified view of several correlations in terms of a Bayesian principle and its connection with thermodynamics, our approach unveils a bridge to the nonextensive statistical mechanics.
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http://arxiv.org/abs/1207.3337
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