dorsal/arxiv
View SchemaUniversal optimal cloning of qubits and quantum registers
| Authors | Vladimir Buzek, Mark Hillery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9801009 |
| URL | https://arxiv.org/abs/quant-ph/9801009 |
Abstract
We review our recent work on the universal (i.e. input state independent) optimal quantum copying (cloning) of qubits. We present unitary transformations which describe the optimal cloning of a qubit and we present the corresponding quantum logical network. We also present network for an optimal quantum copying ``machine'' (transformation) which produces N+1 identical copies from the original qubit. Here again the quality (fidelity) of the copies does not depend on the state of the original and is only a function of the number of copies, N. In addition, we present the machine which universaly and optimally clones states of quantum objects in arbitrary-dimensional Hilbert spaces. In particular, we discuss universal cloning of quantum registers.
{
"annotation_id": "86c12a18-f5c5-4e7d-b84b-bb31a0038b2c",
"date_created": "2026-03-02T18:02:40.650000Z",
"date_modified": "2026-03-02T18:02:40.650000Z",
"file_hash": "25bd54b2250e515b9e6bdb1b50d96cb9e96ebd70811b070e8756d5f5f7f8cfee",
"private": false,
"record": {
"abstract": "We review our recent work on the universal (i.e. input state independent)\noptimal quantum copying (cloning) of qubits. We present unitary transformations\nwhich describe the optimal cloning of a qubit and we present the corresponding\nquantum logical network. We also present network for an optimal quantum copying\n``machine\u0027\u0027 (transformation) which produces N+1 identical copies from the\noriginal qubit. Here again the quality (fidelity) of the copies does not depend\non the state of the original and is only a function of the number of copies, N.\nIn addition, we present the machine which universaly and optimally clones\nstates of quantum objects in arbitrary-dimensional Hilbert spaces. In\nparticular, we discuss universal cloning of quantum registers.",
"arxiv_id": "quant-ph/9801009",
"authors": [
"Vladimir Buzek",
"Mark Hillery"
],
"categories": [
"quant-ph"
],
"title": "Universal optimal cloning of qubits and quantum registers",
"url": "https://arxiv.org/abs/quant-ph/9801009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a6a18930-52d6-44b8-88ec-2d6756289057",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}