dorsal/arxiv
View SchemaQuantum State Separation, Unambiguous Discrimination and Exact Cloning
| Authors | Anthony Chefles, Stephen M. Barnett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808018 |
| URL | https://arxiv.org/abs/quant-ph/9808018 |
| DOI | 10.1088/0305-4470/31/50/007 |
| Journal | J.Phys.A31:10097-10103,1998 |
Abstract
Unambiguous discrimination and exact cloning reduce the square-overlap between quantum states, exemplifying the more general type of procedure we term state separation. We obtain the maximum probability with which two equiprobable quantum states can be separated by an arbitrary degree, and find that the established bounds on the success probabilities for discrimination and cloning are special cases of this general bound. The latter also gives the maximum probability of successfully producing N exact copies of a quantum system whose state is chosen secretly from a known pair, given M initial realisations of the state, where N>M. We also discuss the relationship between this bound and that on unambiguous state discrimination.
{
"annotation_id": "2b26cd41-f61f-4883-b0f0-6ed73ae15679",
"date_created": "2026-03-02T18:02:43.940000Z",
"date_modified": "2026-03-02T18:02:43.940000Z",
"file_hash": "1715e68d998a7f7e905b2337d520aa4ff199c1f4554ba7120b0303ee273b6555",
"private": false,
"record": {
"abstract": "Unambiguous discrimination and exact cloning reduce the square-overlap\nbetween quantum states, exemplifying the more general type of procedure we term\nstate separation. We obtain the maximum probability with which two equiprobable\nquantum states can be separated by an arbitrary degree, and find that the\nestablished bounds on the success probabilities for discrimination and cloning\nare special cases of this general bound. The latter also gives the maximum\nprobability of successfully producing N exact copies of a quantum system whose\nstate is chosen secretly from a known pair, given M initial realisations of the\nstate, where N\u003eM. We also discuss the relationship between this bound and that\non unambiguous state discrimination.",
"arxiv_id": "quant-ph/9808018",
"authors": [
"Anthony Chefles",
"Stephen M. Barnett"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/31/50/007",
"journal_ref": "J.Phys.A31:10097-10103,1998",
"title": "Quantum State Separation, Unambiguous Discrimination and Exact Cloning",
"url": "https://arxiv.org/abs/quant-ph/9808018"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "34b76582-1044-4ac6-a14e-d2f848b96f22",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}