A Causal Model for Quantifying Multipartite Classical and Quantum Correlations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908443465482240 |
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| author | Wang, Shuchan Wunder, Gerhard |
| author_facet | Wang, Shuchan Wunder, Gerhard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16414 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Causal Model for Quantifying Multipartite Classical and Quantum Correlations Wang, Shuchan Wunder, Gerhard Information Theory Quantum Physics 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. |
| title | A Causal Model for Quantifying Multipartite Classical and Quantum Correlations |
| topic | Information Theory Quantum Physics |
| url | https://arxiv.org/abs/2401.16414 |