A Causal Model for Quantifying Multipartite Classical and Quantum Correlations
CoRR(2024)
摘要
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.
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