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.

arXiv comment11 pages, no figures, v2: small changes

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• Coherent control of multipartite entanglement
• Necessary and sufficient criterion for k-separability of N-qubit noisy GHZ states
• The role of phases in detecting three-qubit entanglement
• Separability of three qubit Greenberger-Horne-Zeilinger diagonal states
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• Sudden change of genuine multipartite entanglement in non-Markovian dynamics
• Using linear and nonlinear entanglement witnesses to generate and detect bound entangled states on an IBM quantum processor
• Separability and entanglement of n-qubits and a qubit with a qudit using Hilbert-Schmidt decompositions
• Separability of multi-qubit states in terms of diagonal and anti-diagonal entries