Unified monogamy relations for the generalized $W$-class states beyond qubits
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929593684852736 |
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| author | Shen, Zhong-Xi Zhou, Wen Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming |
| author_facet | Shen, Zhong-Xi Zhou, Wen Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming |
| contents | The monogamy of entanglement stands as an indispensable feature within multipartite quantum systems. We study monogamy relations with respect to any partitions for the generalized $W$-class (GW) states based on the unified-($q,s$) entanglement (UE). We provide the monogamy relation based on the squared UE for a reduced density matrix of a qudit GW state, as well as tighter monogamy relations based on the $α$th ($α\geq2$) power of UE. Furthermore, for an $n$-qudit system $ABC_1...C_{n-2}$, generalized monogamy relation and upper bound satisfied by the $β$th ($0\leqβ\leq1$) power of UE for the GW states under the partition $AB$ and $C_1...C_{n-2}$ are established. In particular, two partition-dependent residual entanglements for the GW states are analyzed in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10740 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unified monogamy relations for the generalized $W$-class states beyond qubits Shen, Zhong-Xi Zhou, Wen Xuan, Dong-Ping Wang, Zhi-Xi Fei, Shao-Ming Quantum Physics The monogamy of entanglement stands as an indispensable feature within multipartite quantum systems. We study monogamy relations with respect to any partitions for the generalized $W$-class (GW) states based on the unified-($q,s$) entanglement (UE). We provide the monogamy relation based on the squared UE for a reduced density matrix of a qudit GW state, as well as tighter monogamy relations based on the $α$th ($α\geq2$) power of UE. Furthermore, for an $n$-qudit system $ABC_1...C_{n-2}$, generalized monogamy relation and upper bound satisfied by the $β$th ($0\leqβ\leq1$) power of UE for the GW states under the partition $AB$ and $C_1...C_{n-2}$ are established. In particular, two partition-dependent residual entanglements for the GW states are analyzed in detail. |
| title | Unified monogamy relations for the generalized $W$-class states beyond qubits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.10740 |