Cooperation and dependencies in multipartite systems

• URL: http://arxiv.org/abs/2003.12489v3
• Date: Mon, 1 Nov 2021 15:11:21 GMT
• Title: Cooperation and dependencies in multipartite systems
• Authors: Waldemar Klobus, Marek Miller, Mahasweta Pandit, Ray Ganardi, Lukas Knips, Jan Dziewior, Jasmin Meinecke, Harald Weinfurter, Wieslaw Laskowski, Tomasz Paterek
• Abstract summary: The quantifier is distinct from measures of multipartite correlations despite sharing many properties with them. We show the benefits of using the new quantifier for symmetric quantum secret sharing. This underlines the distinction between the multipartite dependence measure introduced here and multipartite correlations.
• Score: 0.7078141380481606
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose an information-theoretic quantifier for the advantage gained from cooperation that captures the degree of dependency between subsystems of a global system. The quantifier is distinct from measures of multipartite correlations despite sharing many properties with them. It is directly computable for classical as well as quantum systems and reduces to comparing the respective conditional mutual information between any two subsystems. Exemplarily we show the benefits of using the new quantifier for symmetric quantum secret sharing. We also prove an inequality characterizing the lack of monotonicity of conditional mutual information under local operations and provide intuitive understanding for it. This underlines the distinction between the multipartite dependence measure introduced here and multipartite correlations.

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