Entanglement criteria and full separability of multi-qubit quantum states

Abstract

We introduce an entanglement criterion to exclude full separability of quantum states. We present numerical evidence that the criterion is necessary and sufficient for the class of GHZ diagonal three-qubit states and estimate the volume of bound entangled states within this class. Finally, we extend our approach to bound entangled states which are not GHZ diagonal.

11 pages, no figures, v2: small changes

References in corpus (8)

• Entanglement detection
• Spin squeezing and entanglement
• Scaling laws for the decay of multiqubit entanglement
• Experimental multiparticle entanglement dynamics induced by decoherence
• Detecting multipartite entanglement
• Multiparticle covariance matrices and the impossibility of detecting graph state entanglement with two-particle correlations
• Optimal Detection of Entanglement in GHZ States
• Discrimination strategies for inequivalent classes of multipartite entangled states

Cited by in corpus (9)

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• Partial Transpose Moments, Principal Minors and Entanglement Detection
• Detection of entanglement via moments of positive maps
• A hierarchy of entanglement criteria for four qubit symmetric Greenberger-Horne-Zeilinger diagonal states
• Separability and entanglement of n-qubits and a qubit with a qudit using Hilbert-Schmidt decompositions
• Using linear and nonlinear entanglement witnesses to generate and detect bound entangled states on an IBM quantum processor
• Sudden change of genuine multipartite entanglement in non-Markovian dynamics