Separability criteria and lower bounds of entanglement via realignment

@misc{xie2026separability,
  title = {{Separability criteria and lower bounds of entanglement via realignment}},
  author = {Yuhang Xie and Yanjun Chu and Shao-Ming Fei},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15664},
  eprint = {2610.15664},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15664},
}

TY  - UNPB
TI  - Separability criteria and lower bounds of entanglement via realignment
AU  - Yuhang Xie
AU  - Yanjun Chu
AU  - Shao-Ming Fei
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15664
UR  - https://arxiv.org/abs/2610.15664
AB  - The detection and quantification of quantum entanglement are central problems in quantum information science. Based on the realignment of density matrices and the vectorization of reduced density matrices, we construct a family of enhanced separability criteria for bipartite and multipartite quantum systems. Our criteria recover the previously proposed realignment-based criteria as special cases and detect more entanglement than the earlier ones. Moreover, we derive tighter lower bounds for the concurrence and the convex-roof extended negativity, criteria for detecting the genuine tripartite entanglement, and lower bounds on genuine-multipartite-entanglement concurrence. The advantages of our results are demonstrated with detailed examples.
ER  -