dorsal/arxiv
View SchemaFault-Tolerant Quantum Computation for Local Leakage Faults
| Authors | Panos Aliferis, Barbara M. Terhal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511065 |
| URL | https://arxiv.org/abs/quant-ph/0511065 |
| Journal | Quant. Inf. Comp. 7 (2007) 139-156 |
Abstract
We provide a rigorous analysis of fault-tolerant quantum computation in the presence of local leakage faults. We show that one can systematically deal with leakage by using appropriate leakage-reduction units such as quantum teleportation. The leakage noise is described by a Hamiltonian and the noise is treated coherently, similar to general non-Markovian noise analyzed in Refs. quant-ph/0402104 and quant-ph/0504218. We describe ways to limit the use of leakage-reduction units while keeping the quantum circuits fault-tolerant and we also discuss how leakage reduction by teleportation is naturally achieved in measurement-based computation.
{
"annotation_id": "9b789e3f-1241-45cc-86d6-b31cc34a6491",
"date_created": "2026-03-02T18:02:20.550000Z",
"date_modified": "2026-03-02T18:02:20.550000Z",
"file_hash": "d1cb52d63e4ac4a98b6aeb82c3c0247118447147086202d1bfaed9f19800f9c2",
"private": false,
"record": {
"abstract": "We provide a rigorous analysis of fault-tolerant quantum computation in the\npresence of local leakage faults. We show that one can systematically deal with\nleakage by using appropriate leakage-reduction units such as quantum\nteleportation. The leakage noise is described by a Hamiltonian and the noise is\ntreated coherently, similar to general non-Markovian noise analyzed in Refs.\nquant-ph/0402104 and quant-ph/0504218. We describe ways to limit the use of\nleakage-reduction units while keeping the quantum circuits fault-tolerant and\nwe also discuss how leakage reduction by teleportation is naturally achieved in\nmeasurement-based computation.",
"arxiv_id": "quant-ph/0511065",
"authors": [
"Panos Aliferis",
"Barbara M. Terhal"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quant. Inf. Comp. 7 (2007) 139-156",
"title": "Fault-Tolerant Quantum Computation for Local Leakage Faults",
"url": "https://arxiv.org/abs/quant-ph/0511065"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0d1f9be6-60a7-4cea-b074-5e8f7b657b03",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}