dorsal/arxiv
View SchemaIntroduction to error correcting codes in quantum computers
| Authors | P. J. Salas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611026 |
| URL | https://arxiv.org/abs/quant-ph/0611026 |
Abstract
The goal of this paper is to review the theoretical basis for achieving a faithful quantum information transmission and processing in the presence of noise. Initially encoding and decoding, implementing gates and quantum error correction will be considered error free. Finally we will relax this non realistic assumption, introducing the quantum fault-tolerant concept. The existence of an error threshold permits to conclude that there is no physical law preventing a quantum computer from being built. An error model based on the depolarizing channel will be able to provide a simple estimation of the storage or memory computation error threshold: < 5.2 10-5. The encoding is made by means of the [[7,1,3]] Calderbank-Shor-Steane quantum code and the Shor's fault-tolerant method to measure the stabilizer's generators is used.
{
"annotation_id": "01ee8c97-f4d0-469d-b3c8-8b1f867d1869",
"date_created": "2026-03-02T18:02:30.562000Z",
"date_modified": "2026-03-02T18:02:30.562000Z",
"file_hash": "6f5a2facef9a45ff05be7e417a3b9574684c50b51747b742ef7688197ea520e1",
"private": false,
"record": {
"abstract": "The goal of this paper is to review the theoretical basis for achieving a\nfaithful quantum information transmission and processing in the presence of\nnoise. Initially encoding and decoding, implementing gates and quantum error\ncorrection will be considered error free. Finally we will relax this non\nrealistic assumption, introducing the quantum fault-tolerant concept. The\nexistence of an error threshold permits to conclude that there is no physical\nlaw preventing a quantum computer from being built. An error model based on the\ndepolarizing channel will be able to provide a simple estimation of the storage\nor memory computation error threshold: \u003c 5.2 10-5. The encoding is made by\nmeans of the [[7,1,3]] Calderbank-Shor-Steane quantum code and the Shor\u0027s\nfault-tolerant method to measure the stabilizer\u0027s generators is used.",
"arxiv_id": "quant-ph/0611026",
"authors": [
"P. J. Salas"
],
"categories": [
"quant-ph"
],
"title": "Introduction to error correcting codes in quantum computers",
"url": "https://arxiv.org/abs/quant-ph/0611026"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "78063ef3-89ae-4078-9c9e-fec28d9461b6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}