dorsal/arxiv
View SchemaFault-Tolerant Quantum Computation with Higher-Dimensional Systems
| Authors | Daniel Gottesman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802007 |
| URL | https://arxiv.org/abs/quant-ph/9802007 |
| DOI | 10.1016/S0960-0779(98)00218-5 |
| Journal | Chaos Solitons Fractals 10:1749-1758,1999 |
Abstract
Instead of a quantum computer where the fundamental units are 2-dimensional qubits, we can consider a quantum computer made up of d-dimensional systems. There is a straightforward generalization of the class of stabilizer codes to d-dimensional systems, and I will discuss the theory of fault-tolerant computation using such codes. I prove that universal fault-tolerant computation is possible with any higher-dimensional stabilizer code for prime d.
{
"annotation_id": "d6995b76-358b-41cb-8010-794449581b37",
"date_created": "2026-03-02T18:02:41.296000Z",
"date_modified": "2026-03-02T18:02:41.296000Z",
"file_hash": "d2132987daea384ee3df644e5d786cad3db901f77f19eebd4320ad05226474f6",
"private": false,
"record": {
"abstract": "Instead of a quantum computer where the fundamental units are 2-dimensional\nqubits, we can consider a quantum computer made up of d-dimensional systems.\nThere is a straightforward generalization of the class of stabilizer codes to\nd-dimensional systems, and I will discuss the theory of fault-tolerant\ncomputation using such codes. I prove that universal fault-tolerant computation\nis possible with any higher-dimensional stabilizer code for prime d.",
"arxiv_id": "quant-ph/9802007",
"authors": [
"Daniel Gottesman"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0960-0779(98)00218-5",
"journal_ref": "Chaos Solitons Fractals 10:1749-1758,1999",
"title": "Fault-Tolerant Quantum Computation with Higher-Dimensional Systems",
"url": "https://arxiv.org/abs/quant-ph/9802007"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b4e617e2-7f17-4a7c-9f4c-4ec09c5209e0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}