A Causal Model for Quantifying Multipartite Classical and Quantum Correlations
- URL: http://arxiv.org/abs/2401.16414v3
- Date: Tue, 2 Apr 2024 15:26:13 GMT
- Title: A Causal Model for Quantifying Multipartite Classical and Quantum Correlations
- Authors: Shuchan Wang, Gerhard Wunder,
- Abstract summary: We give an operational definition of information-theoretic resources within a given multipartite classical or quantum correlation.
We argue that, beyond classical secrecy, additional resources exist that are useful for the security of distributed computing problems.
- Score: 1.4732811715354452
- License: http://creativecommons.org/licenses/by/4.0/
- 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. 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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