dorsal/arxiv
View SchemaQuantum repeaters based on entanglement purification
| Authors | W. Dür, H. - J. Briegel, J. I. Cirac, P. Zoller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808065 |
| URL | https://arxiv.org/abs/quant-ph/9808065 |
| DOI | 10.1103/PhysRevA.59.169 |
| Journal | Phys.Rev.A59:169,1999 |
Abstract
We study the use of entanglement purification for quantum communication over long distances. For distances much longer than the coherence length of a corresponding noisy quantum channel, the fidelity of transmission is usually so low that standard purification methods are not applicable. It is however possible to divide the channel into shorter segments that are purified separately and then connected by the method of entanglement swapping. This method can be much more efficient than schemes based on quantum error correction, as it makes explicit use of two-way classical communication. An important question is how the noise, introduced by imperfect local operations (that constitute the protocols of purification and the entanglement swapping), accumulates in such a compound channel, and how it can be kept below a certain noise level. To treat this problem, we first study the applicability and the efficiency of entanglement purification protocols in the situation of imperfect local operations. We then present a scheme that allows entanglement purification over arbitrary long channels and tolerates errors on the per-cent level. It requires a polynomial overhead in time, and an overhead in local resources that grows only logarithmically with the length of the channel.
{
"annotation_id": "8a4441e9-5da5-4b67-8614-b857ca93fe41",
"date_created": "2026-03-02T18:02:45.255000Z",
"date_modified": "2026-03-02T18:02:45.255000Z",
"file_hash": "a245e2fe938427d223deb681cd6c6d841e535f34d6dbd533b7e5980b7298d5ba",
"private": false,
"record": {
"abstract": "We study the use of entanglement purification for quantum communication over\nlong distances. For distances much longer than the coherence length of a\ncorresponding noisy quantum channel, the fidelity of transmission is usually so\nlow that standard purification methods are not applicable. It is however\npossible to divide the channel into shorter segments that are purified\nseparately and then connected by the method of entanglement swapping. This\nmethod can be much more efficient than schemes based on quantum error\ncorrection, as it makes explicit use of two-way classical communication. An\nimportant question is how the noise, introduced by imperfect local operations\n(that constitute the protocols of purification and the entanglement swapping),\naccumulates in such a compound channel, and how it can be kept below a certain\nnoise level. To treat this problem, we first study the applicability and the\nefficiency of entanglement purification protocols in the situation of imperfect\nlocal operations. We then present a scheme that allows entanglement\npurification over arbitrary long channels and tolerates errors on the per-cent\nlevel. It requires a polynomial overhead in time, and an overhead in local\nresources that grows only logarithmically with the length of the channel.",
"arxiv_id": "quant-ph/9808065",
"authors": [
"W. D\u00fcr",
"H. - J. Briegel",
"J. I. Cirac",
"P. Zoller"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.59.169",
"journal_ref": "Phys.Rev.A59:169,1999",
"title": "Quantum repeaters based on entanglement purification",
"url": "https://arxiv.org/abs/quant-ph/9808065"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e930a019-274c-4ba1-9b1d-9ed29ab1ed21",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}