Year: 2021
Type: article
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.
Source: New Journal of Physics
Institutions: University of Gdańsk, Nanyang Technological University, Max Planck Institute of Quantum Optics, Munich Center for Quantum Science and Technology, Ludwig-Maximilians-Universität München, Centre National de la Recherche Scientifique, National University of Singapore, Université Côte d'Azur, Sorbonne Université, UMI MajuLab
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,195
Funders: Deutsche Forschungsgemeinschaft, Fundacja na rzecz Nauki Polskiej, Narodowe Centrum Nauki, Ministry of Education, India, International Max Planck Research School for Advanced Methods in Process and Systems Engineering, Narodowa Agencja Wymiany Akademickiej, International Max Planck Research School for Quantum Science and Technology
OpenAlex ID: W3013305362