Equivalence of Genuine Multipartite Entanglement and Nonlocality of Nearly Symmetric Multiqubit Pure States
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914094073774080 |
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| author | Wójcik, Jakub Bruzda, Wojciech Stachura, Ignacy Augusiak, Remigiusz |
| author_facet | Wójcik, Jakub Bruzda, Wojciech Stachura, Ignacy Augusiak, Remigiusz |
| contents | Whether every pure genuinely multipartite entangled (GME) state necessarily exhibits genuine multipartite nonlocality (GMNL) remains an open question. By combining a recently proposed Bell inequality [I. Stachura \textit{et al.}, \href{https://iopscience.iop.org/article/10.1088/1367-2630/ad7753}{New J. Phys. \textbf{26}, 093029 (2024)}] with Hardy's paradox and the canonical decomposition of pure states, we analytically demonstrate that all highly symmetric, genuinely entangled multipartite qubit states exhibit genuine multipartite nonlocality, thereby supporting Gisin's conjecture in the multipartite setting. This result constitutes a step toward a general proof of the conjectured equivalence between GME and GMNL in quantum theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_13296 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence of Genuine Multipartite Entanglement and Nonlocality of Nearly Symmetric Multiqubit Pure States Wójcik, Jakub Bruzda, Wojciech Stachura, Ignacy Augusiak, Remigiusz Quantum Physics Whether every pure genuinely multipartite entangled (GME) state necessarily exhibits genuine multipartite nonlocality (GMNL) remains an open question. By combining a recently proposed Bell inequality [I. Stachura \textit{et al.}, \href{https://iopscience.iop.org/article/10.1088/1367-2630/ad7753}{New J. Phys. \textbf{26}, 093029 (2024)}] with Hardy's paradox and the canonical decomposition of pure states, we analytically demonstrate that all highly symmetric, genuinely entangled multipartite qubit states exhibit genuine multipartite nonlocality, thereby supporting Gisin's conjecture in the multipartite setting. This result constitutes a step toward a general proof of the conjectured equivalence between GME and GMNL in quantum theory. |
| title | Equivalence of Genuine Multipartite Entanglement and Nonlocality of Nearly Symmetric Multiqubit Pure States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.13296 |