Entanglement conditions and polynomial identities

Abstract

We develop a rather general approach to entanglement characterization based on convexity properties and polynomial identities. This approach is applied to obtain simple and efficient entanglement conditions which work equally well in both discrete as well as continuous-variable environments. Examples of violations of our conditions are presented.

5 pages, no figures

References in corpus (5)

• A complete family of separability criteria
• Bell inequalities for continuous-variable correlations
• Necessary and sufficient conditions for bipartite entanglement
• Quantum Non-locality and Partial Transposition for Continuous-Variable Systems
• Quaternions, octonions and Bell-type inequalities

Cited by in corpus (2)

• Entanglement witnesses: construction, analysis and classification
• Multipartite minimum uncertainty products