2013/08/31 by Jonas Maziero · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Bipartite graph #Conditional mutual information #Entropy (arrow of time) #Information theory #Kullback–Leibler divergence #Measure (data warehouse) #Multipartite #Mutual information #Quantum mutual information #Random Matrices and Applications #Statistical Mechanics and Entropy #Subadditivity #quant-ph
paper · pdf · doi:10.1007/s13538-014-0184-z
published as Braz. J. Phys. 44, 194 (2014) · Published version
arxiv created 2014/02/13 · openalex publication_date 2014/03/30 · arxiv updated 2014/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the relative entropy of total correlation, we derive an expression relating the mutual information of n-partite pure states to the sum of the mutual informations and entropies of its marginals and analyze some of its implications. Besides, by utilizing the extended strong subadditivity of von Neumann entropy, we obtain generalized monogamy relations for the total correlation in three-partite mixed states. These inequalities lead to a tight lower bound for this correlation in terms of the sum of the bipartite mutual informations. We use this bound to propose a measure for residual three-partite total correlation and discuss the non-applicability of this kind of quantifier to measure genuine multiparty correlations.