dorsal/arxiv
View SchemaContinuous Error Correction
| Authors | Juan Pablo Paz, Wojciech Hubert Zurek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707049 |
| URL | https://arxiv.org/abs/quant-ph/9707049 |
Abstract
We propose a new approach to study the evolution of a quantum state that is encoded in a system which is continuously subject to the operations required to implement a quantum error correcting code. In the limit of continuous error correction we introduce a Markovian master equation that includes the effects of: a) Hamiltonian evolution, b) errors caused by the interaction with an environment and c) error-correcting operations. The master equation is formally presented for all stabilizer codes and its solution is analyzed for the simplest such code.
{
"annotation_id": "7ad4093f-1621-4f6f-b17e-d9ba33127fd2",
"date_created": "2026-03-02T18:02:41.489000Z",
"date_modified": "2026-03-02T18:02:41.489000Z",
"file_hash": "19cab59cc4317cdbcc8674f9751b7c38ad4c18d5b98fc0ed59e26a57a0c31523",
"private": false,
"record": {
"abstract": "We propose a new approach to study the evolution of a quantum state that is\nencoded in a system which is continuously subject to the operations required to\nimplement a quantum error correcting code. In the limit of continuous error\ncorrection we introduce a Markovian master equation that includes the effects\nof: a) Hamiltonian evolution, b) errors caused by the interaction with an\nenvironment and c) error-correcting operations. The master equation is formally\npresented for all stabilizer codes and its solution is analyzed for the\nsimplest such code.",
"arxiv_id": "quant-ph/9707049",
"authors": [
"Juan Pablo Paz",
"Wojciech Hubert Zurek"
],
"categories": [
"quant-ph"
],
"title": "Continuous Error Correction",
"url": "https://arxiv.org/abs/quant-ph/9707049"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "447ee6fd-30ae-4041-be37-64167fe3ece4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}