Introduction to error correcting codes in quantum computers

dc.creatorSalas, P. J.
dc.date2006-11-02
dc.date.accessioned2026-07-07T07:34:06Z
dc.date.available2026-07-07T07:34:06Z
dc.descriptionThe 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.
dc.descriptionTo appear in Revista Mexicana de Fisica 2006
dc.identifierhttps://arxiv.org/abs/quant-ph/0611026
dc.identifierhttp://arxiv.org/abs/quant-ph/0611026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119694
dc.subjectQuantum Physics
dc.titleIntroduction to error correcting codes in quantum computers
dc.typetext

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