NPPT Bound Entanglement Exists

2006/08/31 by Rajiah Simon, Simon, Rajiah · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.quant-ph/0608250

openalex publication_date 2006/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Every dXd bipartite system is shown to have a large family of undistillable states with nonpositive partial transpose (NPPT). This family subsumes the family of conjectured NPPT bound entangled Werner states. In particular, all one-copy undistillable NPPT Werner states are shown to be bound entangled.

Cited by

• Quantum Entanglement and Geometry

Related

• Non-existence of bipartite bound entanglement with negative partial transposition
• NPT Bound Entanglement- The Problem Revisited
• A problem of existence of bound entangled states with non-positive partial transpose and the Hilbert's 17th problem
• Bound entangled states with non-positive partial transpose exist
• Two distinct classes of bound entanglement: PPT-bound and `multi-particle'-bound