dorsal/arxiv
View SchemaNotes on the Fidelity of Symplectic Quantum Error-Correcting Codes
| Authors | Mitsuru Hamada |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311003 |
| URL | https://arxiv.org/abs/quant-ph/0311003 |
| Journal | International Journal of Quantum Information, vol.1, no.4, pp.443--463, 2003 |
Abstract
Two observations are given on the fidelity of schemes for quantum information processing. In the first one, we show that the fidelity of a symplectic (stabilizer) code, if properly defined, exactly equals the `probability' of the correctable errors for general quantum channels. The second observation states that for any coding rate below the quantum capacity, exponential convergence of the fidelity of some codes to unity is possible.
{
"annotation_id": "23b3f7fe-13c7-4c37-a1a5-15735b762f98",
"date_created": "2026-03-02T18:02:03.197000Z",
"date_modified": "2026-03-02T18:02:03.197000Z",
"file_hash": "6cd38003a5afa5a4fa724a3a5b8f812be9f2e4b261967c579ea88d68480c3d7d",
"private": false,
"record": {
"abstract": "Two observations are given on the fidelity of schemes for quantum information\nprocessing. In the first one, we show that the fidelity of a symplectic\n(stabilizer) code, if properly defined, exactly equals the `probability\u0027 of the\ncorrectable errors for general quantum channels. The second observation states\nthat for any coding rate below the quantum capacity, exponential convergence of\nthe fidelity of some codes to unity is possible.",
"arxiv_id": "quant-ph/0311003",
"authors": [
"Mitsuru Hamada"
],
"categories": [
"quant-ph"
],
"journal_ref": "International Journal of Quantum Information, vol.1, no.4,\n pp.443--463, 2003",
"title": "Notes on the Fidelity of Symplectic Quantum Error-Correcting Codes",
"url": "https://arxiv.org/abs/quant-ph/0311003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f9633484-0919-4fab-84c4-f7ebfed304ba",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}