dorsal/arxiv
View SchemaReversible universal quantum computation within translation invariant systems
| Authors | K. G. H. Vollbrecht, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502143 |
| URL | https://arxiv.org/abs/quant-ph/0502143 |
| DOI | 10.1103/PhysRevA.73.012324 |
| Journal | Phys. Rev. A 73, 012324 (2006) |
Abstract
We show how to perform reversible universal quantum computation on a translationally invariant pure state, using only global operations based on next-neighbor interactions. We do not need not to break the translational symmetry of the state at any time during the computation. Since the proposed scheme fulfills the locality condition of a quantum cellular automata, we present a reversible quantum cellular automaton capable of universal quantum computation.
{
"annotation_id": "50db1aad-9d1a-428d-8088-aebcd24f40ec",
"date_created": "2026-03-02T18:02:12.847000Z",
"date_modified": "2026-03-02T18:02:12.847000Z",
"file_hash": "4811b8fc389698019fc9b3115e5ea9da42e82fe2719f541c17a9a862a2bf43dd",
"private": false,
"record": {
"abstract": "We show how to perform reversible universal quantum computation on a\ntranslationally invariant pure state, using only global operations based on\nnext-neighbor interactions. We do not need not to break the translational\nsymmetry of the state at any time during the computation. Since the proposed\nscheme fulfills the locality condition of a quantum cellular automata, we\npresent a reversible quantum cellular automaton capable of universal quantum\ncomputation.",
"arxiv_id": "quant-ph/0502143",
"authors": [
"K. G. H. Vollbrecht",
"J. I. Cirac"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012324",
"journal_ref": "Phys. Rev. A 73, 012324 (2006)",
"title": "Reversible universal quantum computation within translation invariant systems",
"url": "https://arxiv.org/abs/quant-ph/0502143"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "afabaf5c-f482-4344-9dfb-2f0f5328231d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}