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This paper advances the theoretical understanding of quantum correlations by deriving explicit monogamy inequalities for entanglement of assistance in $2\otimes 2\otimes d$ systems. These rigorous relations regarding concurrence and tangle provide essential mathematical constraints for analyzing multipartite quantum networks, which are foundational to future quantum communication protocols.
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Monogamy inequalities of entanglement of assistance in $2\otimes 2\otimes d$ systems

arXiv1 min read

arXiv:2607.18643v1 Announce Type: new Abstract: The monogamy relations characterize the distribution of quantum correlations among the multipartite quantum systems. We study the monogamy relations of the entanglement of assistance in $2\otimes 2\otimes d$ systems. We present explicitly the relations satisfied by the concurrence, the tangle and the concurrence of assistance, which can be used to derive rigorous monogamy relations. Detailed examples are given to illustrate our results.

Abstract:The monogamy relations characterize the distribution of quantum correlations among the multipartite quantum systems. We study the monogamy relations of the entanglement of assistance in $2\otimes 2\otimes d$ systems. We present explicitly the relations satisfied by the concurrence, the tangle and the concurrence of assistance, which can be used to derive rigorous monogamy relations. Detailed examples are given to illustrate our results.

arXiv:2607.18643 [quant-ph]

(or arXiv:2607.18643v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.18643 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

https://doi.org/10.1007/s11128-026-05288-w Focus to learn more DOI(s) linking to related resources

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