Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance

• URL: http://arxiv.org/abs/2502.11526v1
• Date: Mon, 17 Feb 2025 07:56:06 GMT
• Title: Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance
• Authors: Wen Zhou, Zhong-Xi Shen, Dong-Ping Xuan, Zhi-Xi Wang, Shao-Ming Fei,
• Abstract summary: We present new analytical monogamy inequalities satisfied by the $alpha$-th ($alphageqgamma,gammageq2$) power. We also establish new monogamy and polygamy relations, which are shown to be valid even for multipartite higher-dimensional states.
• Score: 1.125136513287558
• License:
• Abstract: By analyzing the reduced density matrices derived from a generalized $W$-class state under any partition, we present new analytical monogamy inequalities satisfied by the $\alpha$-th ($\alpha\geq\gamma,~\gamma\geq2$) power and $\beta$-th ($0\leq\beta\leq\frac{\gamma}{2},~\gamma\geq2$) power of the concurrence of assistance for multi-qudit generalized $W$-class states, which are demonstrated to be tighter than previous studies through detailed examples. Furthermore, using the Tsallis-$q$ entanglement of assistance, we also establish new monogamy and polygamy relations, which are shown to be valid even for multipartite higher-dimensional states that the CKW inequality is violated.

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