Separability criteria and lower bounds of entanglement via realignment

Abstract:The detection and quantification of quantum entanglement are central problems in quantum information science. Based on the realignment of density matrices and the vectorization of reduced density matrices, we construct a family of enhanced separability criteria for bipartite and multipartite quantum systems. Our criteria recover the previously proposed realignment-based criteria as special cases and detect more entanglement than the earlier ones. Moreover, we derive tighter lower bounds for the concurrence and the convex-roof extended negativity, criteria for detecting the genuine tripartite entanglement, and lower bounds on genuine-multipartite-entanglement concurrence. The advantages of our results are demonstrated with detailed examples.

arXiv:2610.15664 [quant-ph]

(or arXiv:2610.15664v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.15664 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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