Spectral conditions for entanglement witnesses vs. bound entanglement

Abstract

It is shown that entanglement witnesses constructed via the family of spectral conditions are decomposable, i.e. cannot be used to detect bound entanglement. It supports several observations that bound entanglement reveals highly non-spectral features.

new references; 4.5 pages

References in corpus (7)

• Entanglement detection
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Necessary and sufficient conditions for bipartite entanglement
• Majorization criterion for distillability of a bipartite quantum state
• Spectral conditions for positive maps
• Class of PPT bound entangled states associated to almost any set of pure entangled states
• Spectral properties of entanglement witnesses

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• Entropic characterization of Separability in Gaussian states
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