Cooperation and dependencies in multipartite systems

Cooperation and dependencies in multipartite systems

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 compu...

Full description

Saved in:
Bibliographic Details
Main Authors: Klobus, Waldemar, Miller, Marek, Pandit, Mahasweta, Ganardi, Ray, Knips, Lukas, Dziewior, Jan, Meinecke, Jasmin, Weinfurter, Harald, Laskowski, Wieslaw, Paterek, Tomasz
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
Subjects:
Science::Mathematics
Quantum Information
Multipartite Entanglement
Online Access:https://hdl.handle.net/10356/153876
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
Description
Summary: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.

Similar Items