A Closed Form for Moment-Based Entanglement Tests Associated to the PPT Criterion
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908277589147648 |
|---|---|
| author | Bradshaw, Zachary P. LaBorde, Margarite L. |
| author_facet | Bradshaw, Zachary P. LaBorde, Margarite L. |
| contents | Neven et al. have explored an unexpected alliance between the mathematical insights of Sir Isaac Newton and René Descartes which culminates in the reduction of the Positive Partial Transpose (PPT) criterion to an equivalent hierarchy of entanglement tests based on the moments of the partial transpose. By repurposing these classical results in the context of modern quantum theory, they illuminate new pathways for entanglement verification. Here, we expand on this work by providing a closed form for the inequalities defining these entanglement tests and producing an equivalent set of graph theoretic conditions on the weighted graph induced by the partial transpose. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17525 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Closed Form for Moment-Based Entanglement Tests Associated to the PPT Criterion Bradshaw, Zachary P. LaBorde, Margarite L. Quantum Physics Mathematical Physics 81P42 (Primary) 81P45 (Secondary) Neven et al. have explored an unexpected alliance between the mathematical insights of Sir Isaac Newton and René Descartes which culminates in the reduction of the Positive Partial Transpose (PPT) criterion to an equivalent hierarchy of entanglement tests based on the moments of the partial transpose. By repurposing these classical results in the context of modern quantum theory, they illuminate new pathways for entanglement verification. Here, we expand on this work by providing a closed form for the inequalities defining these entanglement tests and producing an equivalent set of graph theoretic conditions on the weighted graph induced by the partial transpose. |
| title | A Closed Form for Moment-Based Entanglement Tests Associated to the PPT Criterion |
| topic | Quantum Physics Mathematical Physics 81P42 (Primary) 81P45 (Secondary) |
| url | https://arxiv.org/abs/2503.17525 |