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
Pages: 9
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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Abstract:
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...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.