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

arXiv
Authors: Jakub Wójcik, Wojciech Bruzda, Ignacy Stachura, Remigiusz Augusiak

Year

2025

Paper ID

51206

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

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 \[I. Stachura et al., \href{https://iopscience.iop.org/article/10.1088/1367-2630/ad7753}{New J. Phys. 26, 093029 (2024)}\] 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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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • Whether every pure genuinely multipartite entangled (GME) state necessarily exhibits genuine multipartite nonlocality (GMNL) remains an open question.

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