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. Subsequently, we present a novel quantum secrecy monotone and investigate a quantum hybrid key distribution system as an extension of our causal model. Finally, we discuss some connections to optimal transport (OT) problem.

翻译：我们给出了信息论资源在给定多体经典或量子关联中的操作性定义。提出了作为该关联源编码端的因果模型，并引入资源速率这一新概念。论证了除经典保密性外，存在对分布式计算问题安全性有用的额外资源，可通过资源速率进行刻画。进一步建立了资源速率与香农对数信息测度——即总关联——的扩展量之间的关系。随后提出了新型量子保密单调量，并研究了作为因果模型扩展的量子混合密钥分发系统。最后讨论了与最优传输问题的若干联系。