Nonlinear Entanglement Witnesses

2005/12/31 by Otfried Gühne, Norbert Lütkenhaus · 7 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.96.170502

published as Phys. Rev. Lett. 96, 170502 (2006) · 4 pages, 1 figure, v3: small changes, final version

openalex publication_date 2006/05/01 · arxiv created 2006/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Entanglement detection typically relies on linear inequalities for mean values of certain observables (entanglement witnesses), where violation indicates entanglement. We provide a general method to improve any of these inequalities for bipartite systems via nonlinear expressions. The nonlinearities are of different orders and can be directly measured in experiments, often without any extra effort.

Citations

• Separability Criterion for Density Matrices
• Entanglement detection based on interference and particle counting
• Entanglement detection in the stabilizer formalism
• Scalable multi-particle entanglement of trapped ions

Cited by

• Entanglement in continuous-variable systems: recent advances and current perspectives
• Beyond the standard entropic inequalities: Stronger scalar separability criteria and their applications
• Toolbox for entanglement detection and fidelity estimation
• Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states
• Inseparability criteria based on matrices of moments
• Reliable entanglement verification
• Colloquium: The Einstein-Podolsky-Rosen paradox: From concepts to applications