Cooperation and dependencies in multipartite systems
Kłobus, Waldemar Miller, Marek Pandit, Mahasweta Ganardi, Ray Knips, Lukas Dziewior, Jan Meinecke, Jasmin Weinfurter, Harald Laskowski, Wieslaw Paterek, Tomasz
Kłobus, Waldemar
Miller, Marek
Pandit, Mahasweta
Ganardi, Ray
Knips, Lukas
Dziewior, Jan
Meinecke, Jasmin
Weinfurter, Harald
Laskowski, Wieslaw
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Alternative Title
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. © 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.
Keywords
information theory, multipartite entanglement, quantum information
Source Title
New Journal of Physics
Publisher
IOP Publishing Ltd
Series/Report No.
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Rights
Attribution 4.0 International
Date
2021-06-01
DOI
10.1088/1367-2630/abfb89
Type
Article