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arXiv · 1905.01613

Generalized Entanglement Monogamy and Polygamy Relations for N -Qubit Systems

Zhi-Xiang Jin·Shao-Ming Fei·Xianqing Li-Jost
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Abstract

We investigate the generalized monogamy and polygamy relations $N$-qubit systems. We give a general upper bound of the $\alpha$th ($0\leq\alpha\leq2$) power of concurrence for $N$-qubit states. The monogamy relations satisfied by the $\alpha$th ($0\leq\alpha\leq2$) power of concurrence are presented for $N$-qubit pure states under the partition $AB$ and $C_1 . . . C_{N-2}$, as well as under the partition $ABC_1$ 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.

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Zhi-Xiang Jin, Shao-Ming Fei, Xianqing Li-Jost. 2019-05-05. Generalized Entanglement Monogamy and Polygamy Relations for N -Qubit Systems. https://doi.org/10.1007/s10773-019-04053-3

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