Genuine Multipartite Entanglement Measure Based on $α$-concurrence
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909605981847552 |
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| author | Wang, Ke-Ke Wei, Zhi-Wei Fei, Shao-Ming |
| author_facet | Wang, Ke-Ke Wei, Zhi-Wei Fei, Shao-Ming |
| contents | Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $α$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures G$α$C with one parameter $α$ for arbitrary multipartite states. We show that the G$α$C is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of G$α$C are derived for any $n$-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the G$α$C can distinguish different GME states that other GME measures fail to. These results justify the potential applications of G$α$C in characterizing genuine multipartite entanglements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Genuine Multipartite Entanglement Measure Based on $α$-concurrence Wang, Ke-Ke Wei, Zhi-Wei Fei, Shao-Ming Quantum Physics Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $α$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures G$α$C with one parameter $α$ for arbitrary multipartite states. We show that the G$α$C is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of G$α$C are derived for any $n$-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the G$α$C can distinguish different GME states that other GME measures fail to. These results justify the potential applications of G$α$C in characterizing genuine multipartite entanglements. |
| title | Genuine Multipartite Entanglement Measure Based on $α$-concurrence |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.05998 |