Several families of entanglement criteria for multipartite quantum systems based on generalized Wigner-Yanase skew information and variance

• URL: http://arxiv.org/abs/2409.11273v2
• Date: Sun, 13 Oct 2024 00:24:08 GMT
• Title: Several families of entanglement criteria for multipartite quantum systems based on generalized Wigner-Yanase skew information and variance
• Authors: Yan Hong, Xinlan Hao, Limin Gao,
• Abstract summary: We propose several families of entanglement criteria for detecting entanglement in multipartite or high-dimensional quantum states. We show that the combination of the entanglement criteria has a stronger detection capability.
• Score: 7.889770216618095
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: 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 $I^s(\rho,X)$ 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.

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