Bell inequalities for nonlocality depth
| Autor: | Bernards, Fabian, Gühne, Otfried |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 107, 022412 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.107.022412 |
| Popis: | When three or more particles are considered, quantum correlations can be stronger than the correlations generated by so-called hybrid local hidden variable models, where some of the particles are considered as a single block inside which communication and signaling is allowed. We provide an exhaustive classification of Bell inequalities to characterize various hybrid scenarios in four- and five-particle systems. In quantum mechanics, these inequalities provide device-independent witnesses for the entanglement depth. In addition, we construct a family of inequalities to detect a non-locality depth of (n-1) in n-particle systems. Moreover, we present two generalizations of the original Svetlichny inequality, which was the first Bell inequality designed for hybrid models. Our results are based on the cone-projection technique, which can be used to completely characterize Bell inequalities under affine constraints; even for many parties, measurements, and outcomes. Comment: 12 pages, 3 figures, v2: final version |
| Databáze: | arXiv |
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