Entanglement in the symmetric subspace: mapping multipartite to bipartite states
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912628215906304 |
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| author | Marconi, Carlo Imai, Satoya |
| author_facet | Marconi, Carlo Imai, Satoya |
| contents | We propose a technique to investigate multipartite entanglement in the symmetric subspace. Our approach is to map an $N$-qubit symmetric state onto a bipartite symmetric state of higher local dimension. We show that this mapping preserves separability and allows to characterize the entanglement of the original multipartite state. In particular, we establish a connection between the border rank and the Schmidt rank, and derive lower bounds on entanglement measures. Finally, we reveal the existence of entangled symmetric subspaces, where all bipartite states are entangled. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01578 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement in the symmetric subspace: mapping multipartite to bipartite states Marconi, Carlo Imai, Satoya Quantum Physics We propose a technique to investigate multipartite entanglement in the symmetric subspace. Our approach is to map an $N$-qubit symmetric state onto a bipartite symmetric state of higher local dimension. We show that this mapping preserves separability and allows to characterize the entanglement of the original multipartite state. In particular, we establish a connection between the border rank and the Schmidt rank, and derive lower bounds on entanglement measures. Finally, we reveal the existence of entangled symmetric subspaces, where all bipartite states are entangled. |
| title | Entanglement in the symmetric subspace: mapping multipartite to bipartite states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.01578 |