Marginal second-order moments do not suffice for entanglement detection
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_ | 1866913893843992576 |
|---|---|
| author | García-Velo, A. Paraschiv, M. Ban, Y. Torrontegui, E. Puebla, R. |
| author_facet | García-Velo, A. Paraschiv, M. Ban, Y. Torrontegui, E. Puebla, R. |
| contents | The complete knowledge of the global and marginal second-order moments of a quantum state is in general insufficient for entanglement detection. By deriving the conditions on local-unitary (LU) transformations through the second-order moments, we construct pairs of separable and entangled states that are not LU equivalent, contain different amount of entanglement, and are not equivalent under stochastic local operations and classical communication, even though the states share identical global and marginal second-order moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Marginal second-order moments do not suffice for entanglement detection García-Velo, A. Paraschiv, M. Ban, Y. Torrontegui, E. Puebla, R. Quantum Physics The complete knowledge of the global and marginal second-order moments of a quantum state is in general insufficient for entanglement detection. By deriving the conditions on local-unitary (LU) transformations through the second-order moments, we construct pairs of separable and entangled states that are not LU equivalent, contain different amount of entanglement, and are not equivalent under stochastic local operations and classical communication, even though the states share identical global and marginal second-order moments. |
| title | Marginal second-order moments do not suffice for entanglement detection |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.12406 |