dorsal/arxiv
View SchemaRemarks on the Cross Norm Criterion for Separability
| Authors | S. J. Akhtarshenas, M. A. Jafarizadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208041 |
| URL | https://arxiv.org/abs/quant-ph/0208041 |
Abstract
Recently in Reference [ quant-ph/0202121] a computational criterion of separability induced by greatest cross norm is proposed by Rudolph. There, Rudolph conjectured that the new criterion is not weaker than positive partial transpose criterion for separability. We show that there exist counterexample to this claim, that is, proposed criterion is weaker than the positive partial transpose criterion.
{
"annotation_id": "38364230-829e-4cb0-9a59-9b70b2a0c25a",
"date_created": "2026-03-02T18:01:52.353000Z",
"date_modified": "2026-03-02T18:01:52.353000Z",
"file_hash": "2a84636d29099a401548dcc44bbef82ade717b9b1f7a8727005b91b77a15e1bf",
"private": false,
"record": {
"abstract": "Recently in Reference [ quant-ph/0202121] a computational criterion of\nseparability induced by greatest cross norm is proposed by Rudolph. There,\nRudolph conjectured that the new criterion is not weaker than positive partial\ntranspose criterion for separability. We show that there exist counterexample\nto this claim, that is, proposed criterion is weaker than the positive partial\ntranspose criterion.",
"arxiv_id": "quant-ph/0208041",
"authors": [
"S. J. Akhtarshenas",
"M. A. Jafarizadeh"
],
"categories": [
"quant-ph"
],
"title": "Remarks on the Cross Norm Criterion for Separability",
"url": "https://arxiv.org/abs/quant-ph/0208041"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "46b103cb-80fc-4380-b152-638e515d5fd5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}