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。我们提出了作为这种关联的源编码侧的因果模型，并引入了资源率这一新概念。我们论证了除经典保密性之外，还存在对分布式计算问题的安全性有用的额外资源，这些资源可以通过资源率来表征。进一步地，我们建立了资源率与香农对数信息测度的推广——总关联之间的关系。随后，我们提出了一种新的量子保密单调量，并研究了作为我们因果模型扩展的量子混合密钥分发系统。最后，我们讨论了与最优传输问题的一些联系。