Polygamy relations for tripartite and multipartite quantum systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910292628209664 |
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| author | Liang, Yanying Situ, Haozhen Zheng, Zhu-Jun |
| author_facet | Liang, Yanying Situ, Haozhen Zheng, Zhu-Jun |
| contents | We study the polygamy property for tripartite and multipartite quantum systems. In tripartite system, we build a solution set for polygamy in tripartite system and find a lower bound of the set, which can be a sufficient and necessary condition for any quantum entanglement of assistance $Q$ to be polygamous. In multipartite system, we firstly provide generalized definitions for polygamy in two kind of divisions of $n$-qubit systems, and then build polygamy inequalities with a polygamy power $β$, repectively. Moreover, we use right triangle and tetrahedron to explain our polygamy relations according to the new definitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Polygamy relations for tripartite and multipartite quantum systems Liang, Yanying Situ, Haozhen Zheng, Zhu-Jun Quantum Physics We study the polygamy property for tripartite and multipartite quantum systems. In tripartite system, we build a solution set for polygamy in tripartite system and find a lower bound of the set, which can be a sufficient and necessary condition for any quantum entanglement of assistance $Q$ to be polygamous. In multipartite system, we firstly provide generalized definitions for polygamy in two kind of divisions of $n$-qubit systems, and then build polygamy inequalities with a polygamy power $β$, repectively. Moreover, we use right triangle and tetrahedron to explain our polygamy relations according to the new definitions. |
| title | Polygamy relations for tripartite and multipartite quantum systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2312.15683 |