Construction of entangled states with positive partial transposes based on indecomposable positive linear maps

2003/10/31 by Kil-Chan Ha, Seung-Hyeok Kye · 6 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1016/j.physleta.2004.04.008

published as Phys. Letters. A, 325/5-6, 315--324 (2004) · 12 pages, a continuation of the paper(quant-ph/0305005).accepted for publication in Phys. Letters A.(revised: 1.The title was changed. 2.Abstract and introduction were rewritten)

openalex publication_date 2004/04/22 · arxiv created 2004/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every entanglement with positive partial transpose may be constructed from an indecomposable positive linear map between matrix algebras.

Citations

• Completely positive linear maps on complex matrices

Cited by

• Entanglement Witnesses Arising from Exposed Positive Linear Maps
• Global Geometric Difference Between Separable and Positive Partial Transpose States
• Optimal indecomposable witnesses without extremality or the spanning property
• Construction of bound entangled edge states with special ranks
• A class of positive atomic maps
• Entanglement witnesses: construction, analysis and classification