Quantum Computing and Error Correction
| dc.creator | Steane, A. M. | |
| dc.date | 2003-04-02 | |
| dc.date | 2003-04-03 | |
| dc.date.accessioned | 2026-07-07T06:06:29Z | |
| dc.date.available | 2026-07-07T06:06:29Z | |
| dc.description | The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be understood as a combination of Pauli operators acting on the system. Each quantum error correcting code allows a subset of these errors to be corrected. In many situations the noise is such that the remaining uncorrectable errors are unlikely to arise, and hence quantum error correction has a high probability of success. In order to achieve the best noise tolerance in the presence of noise and imprecision throughout the computer, a hierarchical construction of a quantum computer is proposed. | |
| dc.description | 12 pages, a very simple tutorial introduction to error correction, with emphasis on avoiding misconceptions regarding the treatment of noise | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0304016 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0304016 | |
| dc.identifier | A. Steane in "Decoherence and its implications in quantum computation and information transfer", Gonis and Turchi, eds, pp.284-298 (IOS Press, Amsterdam, 2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90992 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum Computing and Error Correction | |
| dc.type | text |