American Journal of Innovative Research & Applied Sciences
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| ISSN: 2429-5396 (e) | www.american-jiras.com|| | Web Site Form: v 0.1.05 | JF 22 Cours, Wellington le Clairval, Lillebonne | France |
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| 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 |
ABSTRACT Background: when quantum information is transmitted or manipulated in noisy environments, the information is lost gradually because of adverse interaction with the environment. To protect the fragile quantum states, error-correction codes are needed to protect the quantum data during the processes of quantum computation and communication. Objectives: the present study were designed to investigate the quantum errors correcting codes (QEEC), precisely quantum stabilizer codes. Methods: we introduce the formalism of stabilizer and we obtain such results the codewords of the quantum stabilizer code. Results, as results it has been found that the 5 qubit code has different stabilizer groups. Conclusions: the classical and specially the stabilizer quantum codes have much in common. Keywords: Additive quantum codes, Stabilizer groups.