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PreprintCC BY 4.0arXiv

Eigenvalues of multipartite entanglement witnesses

  • Nalan Wang
  • Lin Chen
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Abstract

We investigate various properties of multipartite block-positive operators, decomposable EWs (DEWs), and non-decomposable EWs. We provide a necessary and sufficient condition to construct a special DEW using the multipartite GHZ state. For multipartite DEW, we explicitly characterize the supremum and infimum of maximum and minimum eigenvalues, as well as the trace of its square. We also derive other results concerning NDEW, eigenvalues of 2 × n EWs and the corresponding physical implications. Furthermore, we investigate the tightness of inequalities of these eigenvalues with examples.

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Cite

BibTeXRIS
BibTeX
@misc{wang2026eigenvalues,
  title = {{Eigenvalues of multipartite entanglement witnesses}},
  author = {Nalan Wang and Lin Chen},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29049},
  eprint = {2608.29049},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29049},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Eigenvalues of multipartite entanglement witnesses
AU  - Nalan Wang
AU  - Lin Chen
PY  - 2026
DA  - 2026/08/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.29049
UR  - https://arxiv.org/abs/2608.29049
AB  - We investigate various properties of multipartite block-positive operators, decomposable EWs (DEWs), and non-decomposable EWs. We provide a necessary and sufficient condition to construct a special DEW using the multipartite GHZ state. For multipartite DEW, we explicitly characterize the supremum and infimum of maximum and minimum eigenvalues, as well as the trace of its square. We also derive other results concerning NDEW, eigenvalues of 2 × n EWs and the corresponding physical implications. Furthermore, we investigate the tightness of inequalities of these eigenvalues with examples.
ER  -