Related papers: Equivalence of Genuine Multipartite Entanglement and Nonlocality of Nearly Symmetric Multiqubit Pure States

Equivalence of Genuine Multipartite Entanglement and Nonlocality of Nearly Symmetric Multiqubit Pure States

URL: http://arxiv.org/abs/2510.13296v1
Date: Wed, 15 Oct 2025 08:38:36 GMT
Title: Equivalence of Genuine Multipartite Entanglement and Nonlocality of Nearly Symmetric Multiqubit Pure States
Authors: Jakub Wójcik, Wojciech Bruzda, Ignacy Stachura, Remigiusz Augusiak,
Abstract summary: We analytically demonstrate that all highly symmetric, genuinely entangled multipartite qubit states exhibit genuine multipartite nonlocality.<n>This result constitutes a step toward a general proof of the conjectured equivalence between GME and GMNL in quantum theory.
Score: 0.11199585259018459
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
Abstract: 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.

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