Work

Multipartite entanglement in the diagonal symmetric subspace

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0240964

Authors: Jordi Romero-Pallejà, Jennifer Ahiable, Alessandro Romancino, Carlo Marconi, Anna Sanpera

Institutions: Universitat Autònoma de Barcelona, University of Palermo, National Institute of Optics, Institució Catalana de Recerca i Estudis Avançats

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green