Bipartite polygon models: entanglement classes and their nonlocal behaviour
Hardy's argument constitutes an elegantly logical test for identifying nonlocal features of multipartite correlations. In this paper, we investigate Hardy's nonlocal behavior within a broad class of operational theories, including the qubit state space as a specific case. Specifically, we...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-01-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-01-20-1599/pdf/ |
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| author | Mayalakshmi Kolangatt Thigazholi Muruganandan Sahil Gopalkrishna Naik Tamal Guha Manik Banik Sutapa Saha |
| author_facet | Mayalakshmi Kolangatt Thigazholi Muruganandan Sahil Gopalkrishna Naik Tamal Guha Manik Banik Sutapa Saha |
| author_sort | Mayalakshmi Kolangatt |
| collection | DOAJ |
| description | Hardy's argument constitutes an elegantly logical test for identifying nonlocal features of multipartite correlations. In this paper, we investigate Hardy's nonlocal behavior within a broad class of operational theories, including the qubit state space as a specific case. Specifically, we begin by examining a wider range of operational models with state space descriptions in the form of regular polygons. First, we present a systematic method to characterize the possible forms of entangled states within bipartite compositions of these models. Then, through explicit examples, we identify the classes of entangled states that exhibit Hardy-type nonlocality. Remarkably, our findings highlight a closer analogy between odd polygon models and the qubit state space in terms of their bipartite Hardy nonlocal behavior compared to even-sided polygons. Furthermore, we demonstrate that the emergence of mixed-state Hardy nonlocality in any operational model is determined by a specific symmetry inherent in its dynamic description. Finally, our results uncover an unexplored class of almost-quantum correlations that can be associated with an explicit operational model. |
| format | Article |
| id | doaj-art-ca2d841c73844769918dbf40b76305f4 |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-ca2d841c73844769918dbf40b76305f42025-01-20T14:43:08ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-01-019159910.22331/q-2025-01-20-159910.22331/q-2025-01-20-1599Bipartite polygon models: entanglement classes and their nonlocal behaviourMayalakshmi KolangattThigazholi MuruganandanSahil Gopalkrishna NaikTamal GuhaManik BanikSutapa SahaHardy's argument constitutes an elegantly logical test for identifying nonlocal features of multipartite correlations. In this paper, we investigate Hardy's nonlocal behavior within a broad class of operational theories, including the qubit state space as a specific case. Specifically, we begin by examining a wider range of operational models with state space descriptions in the form of regular polygons. First, we present a systematic method to characterize the possible forms of entangled states within bipartite compositions of these models. Then, through explicit examples, we identify the classes of entangled states that exhibit Hardy-type nonlocality. Remarkably, our findings highlight a closer analogy between odd polygon models and the qubit state space in terms of their bipartite Hardy nonlocal behavior compared to even-sided polygons. Furthermore, we demonstrate that the emergence of mixed-state Hardy nonlocality in any operational model is determined by a specific symmetry inherent in its dynamic description. Finally, our results uncover an unexplored class of almost-quantum correlations that can be associated with an explicit operational model.https://quantum-journal.org/papers/q-2025-01-20-1599/pdf/ |
| spellingShingle | Mayalakshmi Kolangatt Thigazholi Muruganandan Sahil Gopalkrishna Naik Tamal Guha Manik Banik Sutapa Saha Bipartite polygon models: entanglement classes and their nonlocal behaviour Quantum |
| title | Bipartite polygon models: entanglement classes and their nonlocal behaviour |
| title_full | Bipartite polygon models: entanglement classes and their nonlocal behaviour |
| title_fullStr | Bipartite polygon models: entanglement classes and their nonlocal behaviour |
| title_full_unstemmed | Bipartite polygon models: entanglement classes and their nonlocal behaviour |
| title_short | Bipartite polygon models: entanglement classes and their nonlocal behaviour |
| title_sort | bipartite polygon models entanglement classes and their nonlocal behaviour |
| url | https://quantum-journal.org/papers/q-2025-01-20-1599/pdf/ |
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