Detection of genuinely entangled and non-separable $n$-partite quantum states

Abstract

We investigate the detection of entanglement in $n$-partite quantum states. We obtain practical separability criteria to identify genuinely entangled and non-separable mixed quantum states. No numerical optimization or eigenvalue evaluation is needed, and our criteria can be evaluated by simple computations involving components of the density matrix. We provide examples in which our criteria perform better than all known separability criteria. Specifically, we are able to detect genuine $n$-partite entanglement which has previously not been identified. In addition, our criteria can be used in today's experiment.

8 pages, one figure

References in corpus (4)

• Entanglement detection
• Deterministic secure direct communication using GHZ states and swapping quantum entanglement
• Toolbox for entanglement detection and fidelity estimation
• Partial separability and entanglement criteria for multiqubit quantum states

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• Relations among $k$-ME concurrence, negativity, polynomial invariants, and tangle
• Detection of tripartite entanglement based on principal basis matrix representations
• All multipartite entanglements are quantum coherences in locally distinguishable bases
• Multipartite entanglement detection via generalized Wigner-Yanase skew information
• Entanglement hierarchies in multipartite scenarios
• Quantifying multipartite quantum states by ($k+1$)-partite entanglement measures
• Efficient detection for quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems
• Quantum Separability Criteria Based on Symmetric Measurements