Multipartite entanglement in the diagonal symmetric subspace
We investigate the entanglement properties in the symmetric subspace of N-partite d-dimensional systems (qudits). As it happens already for bipartite diagonal symmetric states, also in the multipartite case the local dimension d plays a crucial role. Here, we demonstrate that there is no bound entanglement for d = 3, 4 and N = 3. Using different techniques, we present strong analytical evidence that no bound entanglement exist for any N if d ≤ 4. Interestingly, bound entanglement of diagonal symmetric states exist for any number of parties, N ≥ 2, and local dimensions d ≥ 5.
Authors
- Anna Sanpera (ORCID: https://orcid.org/0000-0002-8970-6127)
- Jennifer Ahiable (ORCID: https://orcid.org/0000-0001-6716-0226)
- Carlo Marconi (ORCID: https://orcid.org/0000-0002-0578-3636)
- Jordi Romero-Pallejà (ORCID: https://orcid.org/0009-0007-2287-8446)
- Alessandro Romancino (ORCID: https://orcid.org/0009-0004-2812-6251)
Institutions
- Institució Catalana de Recerca i Estudis Avançats (ES)
- Universitat Autònoma de Barcelona (ES)
- National Institute of Optics (IT)
- University of Palermo (IT)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1063/5.0240964
- Citations
- 3
- Primary Topic
- Quantum Information and Cryptography
- Type
- article
- Field-Weighted Citation Impact
- 7.44
Funders
- Ministerio de Ciencia e Innovación