Multipartite entanglement based on realignment moments

Fuente: arXiv
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Autores principales: Zhao, Hui, Zhuang, Shu-Ying, Jing, Naihuan, Zhang, Mei-Ming
Formato: Preprint
Publicado: 2025
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author Zhao, Hui
Zhuang, Shu-Ying
Jing, Naihuan
Zhang, Mei-Ming
author_facet Zhao, Hui
Zhuang, Shu-Ying
Jing, Naihuan
Zhang, Mei-Ming
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09999
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multipartite entanglement based on realignment moments
Zhao, Hui
Zhuang, Shu-Ying
Jing, Naihuan
Zhang, Mei-Ming
Quantum Physics
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.
title Multipartite entanglement based on realignment moments
topic Quantum Physics
url https://arxiv.org/abs/2504.09999