Generalized entanglement monogamy and polygamy relations for N-qubit systems
Zhi-Xiang Jin, Shao-Ming Fei, and Xianqing Li-Jost
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Submission date: 11. Feb. 2019
published in: International journal of theoretical physics, 58 (2019) 5, p. 1576-1589
DOI number (of the published article): 10.1007/s10773-019-04053-3
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We investigate the generalized monogamy and polygamy relations N-qubit systems. We give a general upper bound of the αth (0 ≤ α ≤ 2) power of concurrence for N-qubit states. The monogamy relations satisﬁed by the αth (0 ≤ α ≤ 2) power of concurrence are presented for N-qubit pure states under the partition AB and C1...CN−2, as well as under the partition ABC1 and C2CN−2. These inequalities give rise to the restrictions on entanglement distribution and the trade oﬀ of entanglement among the subsystems. Similar results are also derived for negativity.