Exploring the Local Landscape in the Triangle Network

التفاصيل البيبلوغرافية
العنوان: Exploring the Local Landscape in the Triangle Network
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