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|Title:||Cooperation and dependencies in multipartite systems||Authors:||Klobus, Waldemar
|Keywords:||Science::Mathematics||Issue Date:||2021||Source:||Klobus, W., Miller, M., Pandit, M., Ganardi, R., Knips, L., Dziewior, J., Meinecke, J., Weinfurter, H., Laskowski, W. & Paterek, T. (2021). Cooperation and dependencies in multipartite systems. New Journal of Physics, 23(6), 063057-. https://dx.doi.org/10.1088/1367-2630/abfb89||Project:||MOE 2015-T2-2-034||Journal:||New Journal of Physics||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.||URI:||https://hdl.handle.net/10356/153876||ISSN:||1367-2630||DOI:||10.1088/1367-2630/abfb89||Schools:||School of Physical and Mathematical Sciences||Research Centres:||MajuLab||Rights:||© 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
Updated on Dec 2, 2023
Updated on Dec 2, 2023
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