Quantum Non-classicality from Causal Data Fusion
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913368923701248 |
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| author | Lauand, Pedro Bekele, Bereket Ngussie Wolfe, Elie |
| author_facet | Lauand, Pedro Bekele, Bereket Ngussie Wolfe, Elie |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_19252 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Non-classicality from Causal Data Fusion Lauand, Pedro Bekele, Bereket Ngussie Wolfe, Elie Quantum Physics 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. |
| title | Quantum Non-classicality from Causal Data Fusion |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.19252 |