Distribution of Mutual Information in Multipartite States



Document title: Distribution of Mutual Information in Multipartite States
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000376088
ISSN: 0103-9733
Authors: 1
Institutions: 1Universidade Federal de Santa Maria, Departamento de Fisica, Santa Maria, Rio Grande do Sul. Brasil
Year:
Season: Jun
Volumen: 44
Number: 2-3
Pages: 194-201
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract 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
Disciplines: Física y astronomía
Keyword: Física atómica y molecular,
Correlaciones multipartitas,
Correlaciones residuales,
Entropía relativa,
Relaciones monogámicas generalizadas
Keyword: Physics and astronomy,
Atomic and molecular physics,
Multipartite correlations,
Residual correlations,
Relative entropy,
Generalized monogamy relations
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