Multipartite entanglement in the diagonal symmetric subspace
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909502599593984 |
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| author | Romero-Pallejà, Jordi Ahiable, Jennifer Romancino, Alessandro Marconi, Carlo Sanpera, Anna |
| author_facet | Romero-Pallejà, Jordi Ahiable, Jennifer Romancino, Alessandro Marconi, Carlo Sanpera, Anna |
| contents | We investigate the entanglement properties in the symmetric subspace of $N$-partite $d$-dimensional systems (qudits). For diagonal symmetric states, we show that there is no bound entanglement for $d = 3,4 $ and $N = 3$. Further, we present a constructive algorithm to map multipartite diagonal symmetric states of qudits onto bipartite symmetric states of larger local dimension. This technique greatly simplifies the analysis of multipartite states and allows to infer entanglement properties for any even $N \geq 4 $ due to the fact that the PPT conditions that arise from the bipartite symmetric state correspond to the same PPT conditions that appear in the multipartite diagonal symmetric state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05244 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multipartite entanglement in the diagonal symmetric subspace Romero-Pallejà, Jordi Ahiable, Jennifer Romancino, Alessandro Marconi, Carlo Sanpera, Anna Quantum Physics We investigate the entanglement properties in the symmetric subspace of $N$-partite $d$-dimensional systems (qudits). For diagonal symmetric states, we show that there is no bound entanglement for $d = 3,4 $ and $N = 3$. Further, we present a constructive algorithm to map multipartite diagonal symmetric states of qudits onto bipartite symmetric states of larger local dimension. This technique greatly simplifies the analysis of multipartite states and allows to infer entanglement properties for any even $N \geq 4 $ due to the fact that the PPT conditions that arise from the bipartite symmetric state correspond to the same PPT conditions that appear in the multipartite diagonal symmetric state. |
| title | Multipartite entanglement in the diagonal symmetric subspace |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.05244 |