dorsal/arxiv
View SchemaNew Limits on Fault-Tolerant Quantum Computation
| Authors | Harry Buhrman, Richard Cleve, Monique Laurent, Noah Linden, Alexander Schrijver, Falk Unger |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604141 |
| URL | https://arxiv.org/abs/quant-ph/0604141 |
Abstract
We show that quantum circuits cannot be made fault-tolerant against a depolarizing noise level of approximately 45%, thereby improving on a previous bound of 50% (due to Razborov). Our precise quantum circuit model enables perfect gates from the Clifford group (CNOT, Hadamard, S, X, Y, Z) and arbitrary additional one-qubit gates that are subject to that much depolarizing noise. We prove that this set of gates cannot be universal for arbitrary (even classical) computation, from which the upper bound on the noise threshold for fault-tolerant quantum computation follows.
{
"annotation_id": "4a2e625a-b612-4d26-b67a-9fa1093a1beb",
"date_created": "2026-03-02T18:02:27.449000Z",
"date_modified": "2026-03-02T18:02:27.449000Z",
"file_hash": "0561aa3542903d84f9855dfd3c2a4b35e00084da8fe0b1bbc4aa8bb3fae6657d",
"private": false,
"record": {
"abstract": "We show that quantum circuits cannot be made fault-tolerant against a\ndepolarizing noise level of approximately 45%, thereby improving on a previous\nbound of 50% (due to Razborov). Our precise quantum circuit model enables\nperfect gates from the Clifford group (CNOT, Hadamard, S, X, Y, Z) and\narbitrary additional one-qubit gates that are subject to that much depolarizing\nnoise. We prove that this set of gates cannot be universal for arbitrary (even\nclassical) computation, from which the upper bound on the noise threshold for\nfault-tolerant quantum computation follows.",
"arxiv_id": "quant-ph/0604141",
"authors": [
"Harry Buhrman",
"Richard Cleve",
"Monique Laurent",
"Noah Linden",
"Alexander Schrijver",
"Falk Unger"
],
"categories": [
"quant-ph"
],
"title": "New Limits on Fault-Tolerant Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0604141"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7d9499f8-f9ea-49cb-b432-7db0e014e302",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}