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Abstract
The degree of experimentally attainable nonlocality, as gauged by the loophole-free or effective violation of Bell inequalities, remains severely limited due to inefficient detectors. We address an experimentally motivated question: Which quantum strategies attain the maximal loophole-free nonlocality in the presence of inefficient detectors? For any Bell inequality and any specification of detection efficiencies, the optimal strategies are those that maximally violate a tilted version of the Bell inequality in ideal conditions. In the simplest scenario, we demonstrate that the quantum strategies that maximally violate the doubly-tilted versions of Clauser-Horne-Shimony-Holt inequality are unique up to local isometries. We utilize a Jordan’s lemma and Gröbner basis-based proof technique to analytically derive self-testing statements for the entire family of doubly-tilted CHSH inequalities and numerically demonstrate their robustness. These results enable us to reveal the insufficiency of even high levels of the Navascués–Pironio–Acín hierarchy to saturate the maximum quantum violation of these inequalities.
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Authors (6)
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Nicolas Gigena Dr
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Ekta Panwar Dr
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Giovanni Scala Dr
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Mateus Araújo Dr
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Máté Farkas Dr
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1038/s41534-025-01029-6
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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npj Quantum Information
no. 11,
ISSN: 2056-6387 - Language:
- English
- Publication year:
- 2025
- Bibliographic description:
- Gigena N., Panwar E., Scala G., Araújo M., Farkas M., Chaturvedi A.: Self-testing tilted strategies for maximal loophole-free nonlocality// npj Quantum Information -,iss. 11 (2025), s.1-9
- DOI:
- Digital Object Identifier (open in new tab) 10.1038/s41534-025-01029-6
- Verified by:
- Gdańsk University of Technology
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