تقرير
Exploring the Local Landscape in the Triangle Network
العنوان: | Exploring the Local Landscape in the Triangle Network |
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المؤلفون: | Bäumer, Elisa, Gitton, Victor, Kriváchy, Tamás, Gisin, Nicolas, Renner, Renato |
سنة النشر: | 2024 |
المجموعة: | Quantum Physics |
مصطلحات موضوعية: | Quantum Physics |
الوصف: | Characterizing the set of distributions that can be realized in the triangle network is a notoriously difficult problem. In this work, we investigate inner approximations of the set of local (classical) distributions of the triangle network. A quantum distribution that appears to be nonlocal is the Elegant Joint Measurement (EJM) [Entropy. 2019; 21(3):325], which motivates us to study distributions having the same symmetries as the EJM. We compare analytical and neural-network-based inner approximations and find a remarkable agreement between the two methods. Using neural network tools, we also conjecture network Bell inequalities that give a trade-off between the levels of correlation and symmetry that a local distribution may feature. Our results considerably strengthen the conjecture that the EJM is nonlocal. Comment: 8 + 19 pages, 19 figures |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2405.08939 |
رقم الأكسشن: | edsarx.2405.08939 |
قاعدة البيانات: | arXiv |
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