dorsal/arxiv
View SchemaA note on separability criteria for multipartite state
| Authors | Heng Fan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210168 |
| URL | https://arxiv.org/abs/quant-ph/0210168 |
Abstract
The recent proposed realignment separability criterion for mixed is analyzed. We identify the essential part of this criterion is a swap operator followed by a partial transposition. Then we analyze the separability criterion of permutation indices of the density matrix for multipartite state which is a generalization of the realignment criterion. We give a method to solve the equivalence problem of the separability criterion of permutation indices of the density matrix. For tripartite state, we show the non-trivial separability criteria are either partial transposition criterion or realignment criterion.
{
"annotation_id": "dd999013-7a7c-414c-a396-1f743ebb4245",
"date_created": "2026-03-02T18:01:56.507000Z",
"date_modified": "2026-03-02T18:01:56.507000Z",
"file_hash": "cf8be706e06b7cb079faa9288aa48c9e70c635bf64fce6420055945a65959b6a",
"private": false,
"record": {
"abstract": "The recent proposed realignment separability criterion for mixed is analyzed.\nWe identify the essential part of this criterion is a swap operator followed by\na partial transposition. Then we analyze the separability criterion of\npermutation indices of the density matrix for multipartite state which is a\ngeneralization of the realignment criterion. We give a method to solve the\nequivalence problem of the separability criterion of permutation indices of the\ndensity matrix. For tripartite state, we show the non-trivial separability\ncriteria are either partial transposition criterion or realignment criterion.",
"arxiv_id": "quant-ph/0210168",
"authors": [
"Heng Fan"
],
"categories": [
"quant-ph"
],
"title": "A note on separability criteria for multipartite state",
"url": "https://arxiv.org/abs/quant-ph/0210168"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4f06b108-765c-4a5f-9632-5ea5bf0fe0ec",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}