Tighter generalized monogamy and polygamy relations for multiqubit systems
Zhi-Xiang Jin and Shao-Ming Fei
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Submission date: 19. Jan. 2020
published in: Quantum information processing, 19 (2020) 1, art-no. 23
DOI number (of the published article): 10.1007/s11128-019-2522-0
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We present a diﬀerent kind of monogamy and polygamy relations based on concurrence and concurrence of assistance for multiqubit systems. By relabeling the subsystems associated with diﬀerent weights, a smaller upper bound of the αth (0 ≤ α ≤ 2) power of concurrence for multiqubit states is obtained. We also present tighter monogamy relations satisﬁed by the αth (0 ≤ α ≤ 2) power of concurrence 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.