Multipartite entanglement based on realignment moments

• URL: http://arxiv.org/abs/2504.09999v1
• Date: Mon, 14 Apr 2025 09:02:58 GMT
• Title: Multipartite entanglement based on realignment moments
• Authors: Hui Zhao, Shu-Ying Zhuang, Naihuan Jing, Mei-Ming Zhang,
• Abstract summary: Based on the realignment moments of density matrix, we study parameterized entanglement criteria for bipartite and multipartite states.<n>Our criterion can detect not only bound entangled states, but also non-positive partial transpose entangled states for bipartite quantum systems.
• Score: 1.3605831185375463
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Based on the realignment moments of density matrix, we study parameterized entanglement criteria for bipartite and multipartite states. By adjusting the different parameter values, our criterion can detect not only bound entangled states, but also non-positive partial transpose entangled states for bipartite quantum systems. Moreover, we propose the definition of multipartite realignment moments and generalize the result of bipartite systems to obtain a sufficient criterion to detect entanglement for multipartite quantum states in arbitrary dimensions. And we further improve the conclusion to obtain another new entanglement criterion. The new method can detect more entangled states than previous methods as backed by detailed examples.

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