dorsal/arxiv
View SchemaOptimal Universal and State-Dependent Quantum Cloning
| Authors | D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, J. A. Smolin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9705038 |
| URL | https://arxiv.org/abs/quant-ph/9705038 |
| DOI | 10.1103/PhysRevA.57.2368 |
| Journal | PRA 57 (1998) 2368 |
Abstract
We establish the best possible approximation to a perfect quantum cloning machine which produces two clones out of a single input. We analyze both universal and state-dependent cloners. The maximal fidelity of cloning is shown to be 5/6 for universal cloners. It can be achieved either by a special unitary evolution or by a novel teleportation scheme. We construct the optimal state-dependent cloners operating on any prescribed two non-orthogonal states, discuss their fidelities and the use of auxiliary physical resources in the process of cloning. The optimal universal cloners permit us to derive a new upper bound on the quantum capacity of the depolarizing quantum channel.
{
"annotation_id": "09437c55-575a-4cd5-9111-1f6225eab79a",
"date_created": "2026-03-02T18:02:41.169000Z",
"date_modified": "2026-03-02T18:02:41.169000Z",
"file_hash": "179ef48ec141d5875067436158a449b8dcc34ca7d9bbf56fad3c05fe42521dba",
"private": false,
"record": {
"abstract": "We establish the best possible approximation to a perfect quantum cloning\nmachine which produces two clones out of a single input. We analyze both\nuniversal and state-dependent cloners. The maximal fidelity of cloning is shown\nto be 5/6 for universal cloners. It can be achieved either by a special unitary\nevolution or by a novel teleportation scheme. We construct the optimal\nstate-dependent cloners operating on any prescribed two non-orthogonal states,\ndiscuss their fidelities and the use of auxiliary physical resources in the\nprocess of cloning. The optimal universal cloners permit us to derive a new\nupper bound on the quantum capacity of the depolarizing quantum channel.",
"arxiv_id": "quant-ph/9705038",
"authors": [
"D. Bruss",
"D. P. DiVincenzo",
"A. Ekert",
"C. A. Fuchs",
"C. Macchiavello",
"J. A. Smolin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.57.2368",
"journal_ref": "PRA 57 (1998) 2368",
"title": "Optimal Universal and State-Dependent Quantum Cloning",
"url": "https://arxiv.org/abs/quant-ph/9705038"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "72fa579a-0410-41c8-bde5-368be7e0c258",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}