Separability and lower bounds of quantum entanglement based on realignment

• URL: http://arxiv.org/abs/2405.11861v1
• Date: Mon, 20 May 2024 08:10:59 GMT
• Title: Separability and lower bounds of quantum entanglement based on realignment
• Authors: Jiaxin Sun, Hongmei Yao, Shao-Ming Fei, Zhaobing Fan,
• Abstract summary: We construct matrices based on the realignment of density matrices and the vectorization of the reduced density matrices. New lower bounds of concurrence and convex-roof extended negativity are derived. We show that our results are better than the corresponding ones in identifying and estimating quantum entanglement as well as genuine multipartite entanglement.
• Score: 0.5062312533373298
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The detection and estimation of quantum entanglement are the essential issues in the theory of quantum entanglement. We construct matrices based on the realignment of density matrices and the vectorization of the reduced density matrices, from which a family of separability criteria are presented for both bipartite and multipartite systems. Moreover, new lower bounds of concurrence and convex-roof extended negativity are derived. Criteria are also given to detect the genuine tripartite entanglement. Lower bounds of the concurrence of genuine tripartite entanglement are presented. By detailed examples we show that our results are better than the corresponding ones in identifying and estimating quantum entanglement as well as genuine multipartite entanglement.

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