Several families of entanglement criteria for multipartite quantum systems based on generalized Wigner-Yanase skew information and variance
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909347337994240 |
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| author | Hong, Yan Hao, Xinlan Gao, Limin |
| author_facet | Hong, Yan Hao, Xinlan Gao, Limin |
| contents | Quantum entanglement plays a critical role in many quantum applications, but detecting entanglement, especially in multipartite or high-dimensional quantum systems, remains a challenge. In this paper, we propose several families of entanglement criteria for detecting entanglement in multipartite or high-dimensional quantum states by the generalized Wigner-Yanase skew information $I^s(ρ,X)$ for $-1\leq s\leq0$ and variance. We also reveal a complementary character between the criteria based on the generalized Wigner-Yanase skew information and an alternative one based on variance through specific examples. We illustrate the merits of these criteria and show that the combination of the entanglement criteria has a stronger detection capability, as it is capable of detecting entangled states that remain unrecognized by other criteria. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Several families of entanglement criteria for multipartite quantum systems based on generalized Wigner-Yanase skew information and variance Hong, Yan Hao, Xinlan Gao, Limin Quantum Physics Quantum entanglement plays a critical role in many quantum applications, but detecting entanglement, especially in multipartite or high-dimensional quantum systems, remains a challenge. In this paper, we propose several families of entanglement criteria for detecting entanglement in multipartite or high-dimensional quantum states by the generalized Wigner-Yanase skew information $I^s(ρ,X)$ for $-1\leq s\leq0$ and variance. We also reveal a complementary character between the criteria based on the generalized Wigner-Yanase skew information and an alternative one based on variance through specific examples. We illustrate the merits of these criteria and show that the combination of the entanglement criteria has a stronger detection capability, as it is capable of detecting entangled states that remain unrecognized by other criteria. |
| title | Several families of entanglement criteria for multipartite quantum systems based on generalized Wigner-Yanase skew information and variance |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2409.11273 |