dorsal/arxiv
View SchemaCharacterizing the complete hierarchy of correlations in an $n$-party system
| Authors | D. L. Zhou, L. You |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701029 |
| URL | https://arxiv.org/abs/quant-ph/0701029 |
Abstract
A characterization of the complete correlation structure in an $n$-party system is proposed in terms of a series of $(k,n)$ threshold classical secret sharing protocols ($2\le k\le n$). The total correlation is shown to be the sum of independent correlations of 2-, 3-,$...$, $n$-parties. Our result unifies several earlier scattered works, and shines new light at the important topic of multi-party quantum entanglement. As an application, we explicitly construct the hierarchy of correlations in an $n$-qubit graph state.
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"date_created": "2026-03-02T18:02:34.590000Z",
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"abstract": "A characterization of the complete correlation structure in an $n$-party\nsystem is proposed in terms of a series of $(k,n)$ threshold classical secret\nsharing protocols ($2\\le k\\le n$). The total correlation is shown to be the sum\nof independent correlations of 2-, 3-,$...$, $n$-parties. Our result unifies\nseveral earlier scattered works, and shines new light at the important topic of\nmulti-party quantum entanglement. As an application, we explicitly construct\nthe hierarchy of correlations in an $n$-qubit graph state.",
"arxiv_id": "quant-ph/0701029",
"authors": [
"D. L. Zhou",
"L. You"
],
"categories": [
"quant-ph"
],
"title": "Characterizing the complete hierarchy of correlations in an $n$-party system",
"url": "https://arxiv.org/abs/quant-ph/0701029"
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