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<p>The detection of entanglement is a crucial issue in quantum information science. Based on the realignment of density matrices and the vectorization of the reduced density matrices, we introduce a set of new separability criteria. These separability criteria detect more entanglement than the corresponding existing ones. Moreover, we provide new criteria for detecting the genuine tripartite entanglement and lower bounds for the concurrence and convex-roof extended negativity. The advantages of results are demonstrated through detailed examples.</p>

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Realignment-based separability criteria and lower bounds of entanglement

  • 期刊论文

  • 发表日期：

    2025年5月13日

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  • Yu Lu,
  • Zhong-Xi Shen,
  • Shao-Ming Fei,
  • Zhi-Xi Wang

摘要

The detection of entanglement is a crucial issue in quantum information science. Based on the realignment of density matrices and the vectorization of the reduced density matrices, we introduce a set of new separability criteria. These separability criteria detect more entanglement than the corresponding existing ones. Moreover, we provide new criteria for detecting the genuine tripartite entanglement and lower bounds for the concurrence and convex-roof extended negativity. The advantages of results are demonstrated through detailed examples.