Strong polygamy of multi-party q-expected quantum correlations

Kim, Jeong San

doi:10.1007/s11128-020-02974-1

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2022

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“…We remark that the βth (β ≥ 1) power of unified entanglement has a different range of β from that of [33] and both have no overlaps in multi-qubit quantum systems. The polygamy inequalities considered in our case for the Tsallis q-entropy and q-expectation (q ≥ 1) are tighter than those provided in [34].…”

Section: Introductionmentioning

confidence: 51%

Tightening monogamy and polygamy relations of unified entanglement in multipartite systems

Zhang,

Jing,

Zhao

2022

Preprint

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We study the monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. We first derive the monogamy inequality of unified-(q, s) entanglement for multiqubit states under arbitrary bipartition, and then obtain the monogamy inequalities of the αth2) power of entanglement of formation for tripartite states and their generalizations in multi-qubit quantum states. We also generalize the polygamy inequalities of unified-(q, s)entanglement for multi-qubit states under arbitrary bipartition. Moreover, we investigate polygamy inequalities of the βth (β ≥ max{1, s}, 0 ≤ s ≤ s 0 , 0 ≤ s 0 ≤ √ 2) power of the entanglement of formation for 2 ⊗ 2 ⊗ 2 and n-qubit quantum systems. Finally, using detailed examples, we show that the results are tighter than previous studies.

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Section: Introductionmentioning

confidence: 51%