dorsal/arxiv
View SchemaCorrelated errors can lead to better performance of quantum codes
| Authors | A. Shabani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703142 |
| URL | https://arxiv.org/abs/quant-ph/0703142 |
| DOI | 10.1103/PhysRevA.77.022323 |
| Journal | Phys. Rev. A 77, 022323 (2008) |
Abstract
A formulation for evaluating the performance of quantum error correcting codes for a general error model is presented. In this formulation, the correlation between errors is quantified by a Hamiltonian description of the noise process. We classify correlated errors using the system-bath interaction: local versus nonlocal and two-body versus many-body interactions. In particular, we consider Calderbank-Shor-Steane codes and observe a better performance in the presence of correlated errors depending on the timing of the error recovery. We also find this timing to be an important factor in the design of a coding system for achieving higher fidelities.
{
"annotation_id": "b5ea6fb9-9b3f-4236-b898-f606fcc3a0a8",
"date_created": "2026-03-02T18:02:34.376000Z",
"date_modified": "2026-03-02T18:02:34.376000Z",
"file_hash": "80649958bf5420fadaf93afd4061a415517b808f77718a5aad14cc802207a360",
"private": false,
"record": {
"abstract": "A formulation for evaluating the performance of quantum error correcting\ncodes for a general error model is presented. In this formulation, the\ncorrelation between errors is quantified by a Hamiltonian description of the\nnoise process. We classify correlated errors using the system-bath interaction:\nlocal versus nonlocal and two-body versus many-body interactions. In\nparticular, we consider Calderbank-Shor-Steane codes and observe a better\nperformance in the presence of correlated errors depending on the timing of the\nerror recovery. We also find this timing to be an important factor in the\ndesign of a coding system for achieving higher fidelities.",
"arxiv_id": "quant-ph/0703142",
"authors": [
"A. Shabani"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.77.022323",
"journal_ref": "Phys. Rev. A 77, 022323 (2008)",
"title": "Correlated errors can lead to better performance of quantum codes",
"url": "https://arxiv.org/abs/quant-ph/0703142"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bd633ba8-733e-4bb7-970d-90e056a1cf04",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}