Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912233752100864 |
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| author | Zhou, Wen Shen, Zhong-Xi Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming |
| author_facet | Zhou, Wen Shen, Zhong-Xi Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming |
| contents | 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 $α$-th ($α\geqγ,~γ\geq2$) power and $β$-th ($0\leqβ\leq\fracγ{2},~γ\geq2$) 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11526 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance Zhou, Wen Shen, Zhong-Xi Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming Quantum Physics 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 $α$-th ($α\geqγ,~γ\geq2$) power and $β$-th ($0\leqβ\leq\fracγ{2},~γ\geq2$) 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. |
| title | Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2502.11526 |