Separability from Multipartite Measures
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909032695988224 |
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| author | Ma, Chen-Te Yuan, Ma-Ke |
| author_facet | Ma, Chen-Te Yuan, Ma-Ke |
| contents | We show that the third-order negativity provides a necessary and sufficient criterion for full separability of tripartite pure states, and extend this to mixed states beyond bipartite diagnostics such as negativity. As a minimal nontrivial example, a four-qubit pure state has three-qubit mixed reductions; its complete characterization requires six bipartite, eight tripartite, and four quadripartite measures, with the third-order negativity serving as a key separability criterion. We further generalize these separability criteria to multipartite qudit systems and discuss an application to conformal field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02097 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Separability from Multipartite Measures Ma, Chen-Te Yuan, Ma-Ke Quantum Physics Statistical Mechanics Information Theory High Energy Physics - Theory Mathematical Physics We show that the third-order negativity provides a necessary and sufficient criterion for full separability of tripartite pure states, and extend this to mixed states beyond bipartite diagnostics such as negativity. As a minimal nontrivial example, a four-qubit pure state has three-qubit mixed reductions; its complete characterization requires six bipartite, eight tripartite, and four quadripartite measures, with the third-order negativity serving as a key separability criterion. We further generalize these separability criteria to multipartite qudit systems and discuss an application to conformal field theory. |
| title | Separability from Multipartite Measures |
| topic | Quantum Physics Statistical Mechanics Information Theory High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2605.02097 |