Tighter generalized monogamy and polygamy relations for multiqubit systems

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 $\alpha$th ($0\le \alpha \le 2$) power of concurrence for multiqubit states is obtained. We also present tighter monogamy relations satisfied by the $\alpha$th ($0\le \alpha \le 2$) power of concurrence for $N$-qubit pure states under the partition $AB$ and $C_1...C_{N-2}$, as well as under the partition $AB{C}_1$ and $C_2\cdots C_{N-2}$. 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.

8 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1905.01613

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Cited by in corpus (4)

• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Polygamy relation of quantum correlations with equality
• Superior monogamy and polygamy relations and estimates of concurrence
• Unified monogamy relations for the generalized $W$-class states beyond qubits