A Causal Model for Quantifying Multipartite Classical and Quantum Correlations
Abstract
We give an operational definition of information-theoretic resources within a given multipartite classical or quantum correlation. We present our causal model that serves as the source coding side of this correlation and introduce a novel concept of resource rate. We argue that, beyond classical secrecy, additional resources exist that are useful for the security of distributed computing problems, which can be captured by the resource rate. Furthermore, we establish a relationship between resource rate and an extension of Shannon's logarithmic information measure, namely, total correlation.
Cite
@article{arxiv.2401.16414,
title = {A Causal Model for Quantifying Multipartite Classical and Quantum Correlations},
author = {Shuchan Wang and Gerhard Wunder},
journal= {arXiv preprint arXiv:2401.16414},
year = {2025}
}
Comments
6 pages, 4 figures. v6 changes back to the published version to avoid confusion. v5 adds supplementary material. v4 is a preprint of the version in Proceedings of IEEE ISIT 2024. v3 is the extended version with 23 pages, 12 figures. Changes in v3: Theorem 5 improved; v2: Appendix B added, some notations changed