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
Pages: 9
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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Abstract:
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...C_N−2, as well as under the partition ABC₁ and C₂C_N−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.