Quantum Non-classicality from Causal Data Fusion

التفاصيل البيبلوغرافية
العنوان: Quantum Non-classicality from Causal Data Fusion
المؤلفون: Lauand, Pedro, Bekele, Bereket Ngussie, Wolfe, Elie
سنة النشر: 2024
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Bell's theorem, a cornerstone of quantum theory, shows that quantum correlations are incompatible with a classical theory of cause and effect. Through the lens of causal inference, it can be understood as a particular case of causal compatibility, which delves into the alignment of observational data with a given causal structure. Here, we explore the problem of causal data fusion that aims to piece together data tables collected under heterogeneous conditions. We investigate the quantum non-classicality that emerges when integrating both passive observations and interventions within an experimental setup. Referred to as "non-classicality from data fusion," this phenomenon is identified and scrutinized across all latent exogenous causal structures involving three observed variables. Notably, we demonstrate the existence of quantum non-classicality resulting from data fusion, even in scenarios where achieving standard Bell non-classicality is impossible. Furthermore, we showcase the potential for attaining non-classicality across multiple interventions using quantum resources. This work extends a more compact parallel letter on the same subject and provides all the required technical proofs.
Comment: 28 pages, 13 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.19252
رقم الأكسشن: edsarx.2405.19252
قاعدة البيانات: arXiv