Nonlocality of Quantum States can be Transitive
| Autor: | Chen, Kai-Siang, Tabia, Gelo Noel M., Hsieh, Chung-Yun, Yin, Yu-Chun, Liang, Yeong-Cherng |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In a Bell test involving three parties, one may find a curious situation where the nonlocality in two bipartite subsystems forces the remaining bipartite subsystem to exhibit nonlocality. Post-quantum examples for this phenomenon, dubbed nonlocality transitivity, have been found in 2011. However, the question of whether nonlocality transitivity occurs within quantum theory has remained unresolved -- until now. Here, we provide the first affirmative answer to this question at the level of quantum states. Leveraging the possibility of Bell-inequality violation by tensoring, we analytically construct a pair of nonlocal bipartite states such that simultaneously realizing them in a tripartite system forces the remaining bipartite state to be nonlocal. En route to showing this, we prove that multiple copies of the $W$-state marginals uniquely determine the global compatible state. Furthermore, in contrast to Bell-nonlocality, we show that quantum steering already exhibits transitivity in a three-qubit setting, thus revealing another significant distinction between Bell-nonlocality and steering. We also discuss connections between the problem of nonlocality transitivity and the largely overlooked polygamous nature of nonlocality. Comment: 8+ pages, 1 figure; this is Ref. [86] of arXiv:2202.03523 |
| Databáze: | arXiv |
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