Entanglement and Permutational Symmetry

2008/12/31 by Geza Toth, G. Tóth, Otfried Gühne · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.102.170503

published as Phys. Rev. Lett. 102, 170503 (2009) · 5 pages, no figures, revtex4; v3: published version

openalex publication_date 2009/05/01 · arxiv created 2009/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the separability of permutationally symmetric quantum states. We show that for bipartite symmetric systems most of the relevant entanglement criteria coincide. However, we provide a method to generate examples of bound entangled states in symmetric systems, for the bipartite and the multipartite case. These states shed some new light on the nature of bound entanglement.

Citations

• Optimal Entanglement Criterion for Mixed Quantum States
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Complete family of separability criteria
• Separability Criterion for Density Matrices
• Genuine tripartite entangled states with a local hidden-variable model
• Detecting multipartite entanglement
• Entanglement detection

Cited by

• Exchange symmetry and global entanglement and full separability
• Entanglement certification from theory to experiment