dorsal/arxiv
View SchemaClifford algebras, noncommutative tori and universal quantum computers
| Authors | Alexander Yu. Vlasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109010 |
| URL | https://arxiv.org/abs/quant-ph/0109010 |
Abstract
Recently author suggested [quant-ph/0010071] an application of Clifford algebras for construction of a "compiler" for universal binary quantum computer together with later development [quant-ph/0012009] of the similar idea for a non-binary base. The non-binary case is related with application of some extension of idea of Clifford algebras. It is noncommutative torus defined by polynomial algebraic relations of order l. For l=2 it coincides with definition of Clifford algebra. Here is presented the joint consideration and comparison of both cases together with some discussion on possible physical consequences.
{
"annotation_id": "7f9dda52-e914-4dc1-b7ab-d58c26a9b37f",
"date_created": "2026-03-02T18:01:45.396000Z",
"date_modified": "2026-03-02T18:01:45.396000Z",
"file_hash": "c9477a3d97e20678157882caab8109aa36aabc740f9dd579ad934b05e6c435a6",
"private": false,
"record": {
"abstract": "Recently author suggested [quant-ph/0010071] an application of Clifford\nalgebras for construction of a \"compiler\" for universal binary quantum computer\ntogether with later development [quant-ph/0012009] of the similar idea for a\nnon-binary base. The non-binary case is related with application of some\nextension of idea of Clifford algebras. It is noncommutative torus defined by\npolynomial algebraic relations of order l. For l=2 it coincides with definition\nof Clifford algebra. Here is presented the joint consideration and comparison\nof both cases together with some discussion on possible physical consequences.",
"arxiv_id": "quant-ph/0109010",
"authors": [
"Alexander Yu. Vlasov"
],
"categories": [
"quant-ph"
],
"title": "Clifford algebras, noncommutative tori and universal quantum computers",
"url": "https://arxiv.org/abs/quant-ph/0109010"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "77274f57-7bc0-4d48-808b-c3c1bf7f3c00",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}