{ "id": "quant-ph/0612185", "version": "v1", "published": "2006-12-21T17:26:26.000Z", "updated": "2006-12-21T17:26:26.000Z", "title": "Approaches to Quantum Error Correction", "authors": [ "Julia Kempe" ], "comment": "29 pages, 5 figures, survey written for Poincare seminar lecture 19 Nov. 2005. Bookchapter in \"Quantum Decoherence\", Poincare seminar 2005, Progress in Mathematical Physics series, Birhaeuser, p. 85--123, 2006", "categories": [ "quant-ph" ], "abstract": "The purpose of this little survey is to give a simple description of the main approaches to quantum error correction and quantum fault-tolerance. Our goal is to convey the necessary intuitions both for the problems and their solutions in this area. After characterising quantum errors we present several error-correction schemes and outline the elements of a full fledged fault-tolerant computation, which works error-free even though all of its components can be faulty. We also mention alternative approaches to error-correction, so called error-avoiding or decoherence-free schemes. Technical details and generalisations are kept to a minimum.", "revisions": [ { "version": "v1", "updated": "2006-12-21T17:26:26.000Z" } ], "analyses": { "keywords": [ "quantum error correction", "full fledged fault-tolerant computation", "mention alternative approaches", "little survey", "works error-free" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006quant.ph.12185K" } } }