dorsal/arxiv
View SchemaA study of LOCC-detection of a maximally entangled state using hypothesis testing
| Authors | Masahito Hayashi, Keiji Matsumoto, Yoshiyuki Tsuda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504203 |
| URL | https://arxiv.org/abs/quant-ph/0504203 |
| DOI | 10.1088/0305-4470/39/46/013 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) 14427-14446. |
Abstract
We study how well answer to the question ``Is the given quantum state equal to a certain maximally entangled state?'' using LOCC, in the context of hypothesis testing. Under several locality and invariance conditions, optimal tests will be derived for several special cases by using basic theory of group representations. Some optimal tests are realized by performing quantum teleportation and checking whether the state is teleported. We will also give a finite process for realizing some optimal tests. The performance of the tests will be numerically compared.
{
"annotation_id": "559c728f-4168-415c-8f35-a359230aad1a",
"date_created": "2026-03-02T18:02:16.791000Z",
"date_modified": "2026-03-02T18:02:16.791000Z",
"file_hash": "02ef9340f8e705c8ee0e7b0c9bddc2c2bd5071327dfdbe6f94ef4f02c23078ab",
"private": false,
"record": {
"abstract": "We study how well answer to the question ``Is the given quantum state equal\nto a certain maximally entangled state?\u0027\u0027 using LOCC, in the context of\nhypothesis testing. Under several locality and invariance conditions, optimal\ntests will be derived for several special cases by using basic theory of group\nrepresentations. Some optimal tests are realized by performing quantum\nteleportation and checking whether the state is teleported. We will also give a\nfinite process for realizing some optimal tests. The performance of the tests\nwill be numerically compared.",
"arxiv_id": "quant-ph/0504203",
"authors": [
"Masahito Hayashi",
"Keiji Matsumoto",
"Yoshiyuki Tsuda"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/46/013",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 14427-14446.",
"title": "A study of LOCC-detection of a maximally entangled state using hypothesis testing",
"url": "https://arxiv.org/abs/quant-ph/0504203"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "353be273-c94b-4e7e-9e08-63d304f57614",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}