American Journal of Innovative Research & Applied Sciences
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| ARTICLES | Am. J. innov. res. appl. sci. Volume 5, Issue 3, Pages 176-187 (September 2017)
American Journal of innovative
Research & Applied Sciences
ISSN 2429-5396 (Online)
OCLC Number: 920041286
| SEPTEMBER | VOLUME 5 | N° 3 | 2017 |
*Correspondant author and authors Copyright © 2017: | Seddik Sanaa |
| Laboratoire de Physique des Hautes Énergie - Modélisation et Simulation | Département de Physique Faculté des sciences | Université Mohammed V | Agdal.Av. Ibn Battouta, B.P. 1014 | Agdal | Rabat | | Morocco |
This article is made freely available as part of this journal's Open Access: ID | Seddik-ManuscriptRef.3-ajira170717 |
| Seddik Sanaa |. Am. J. innov. res. appl. sci. 2017; 5(3):176-187.
| PDF FULL TEXT | |Received | 17 July 2017| |Accepted | 31 July 2017| |Published 09 August 2017 |
Background, Quantum error correction (QEC) comes from the marriage of quantum mechanics with the classical theory of error correcting codes. Error correction is a central concept in classical information theory, and quantum error correction is similarly foundational in quantum information theory. Both are concerned with the fundamental problem of communication, and/or information storage, in the presence of noise. Objectives, the present study was designed to investigate both the classical error correcting codes and a quantum error correcting codes. Methods, we study the main concepts of code theory such as, the distance of the code, the weight. We concentrated our work on both the stabilizer quantum codes and no stabilizer quantum codes. We give the correspondence of each concept between the classical and the quantum codes, also between the stabilizer quantum codes and CWS codes. Results, as results it has been found that the classical and specially the stabilizer quantum codes have much in common. These codes are treated in the same way specially the distance, the weight, the stabilizer and the syndrome. Conclusions, the CWS codes which contains the stabilizer codes and non stabilizer codes is more effective and more efficient compared to the stabilizer codes.
Keywords: Qubit, Stabilizer codes, CWS codes.