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Science China Information Sciences

Non-binary entanglement-assisted quantum stabilizer codes

Lan Luo, Zhi Ma, Zhengchao Wei, Leng Riguang

Published Sep 13, 2016• 27 citations
Publisher
DOI
10.1007/s11432-015-0932-y

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Construction of quantum codes and entanglement-assisted quantum codes with good parameters via classical codes is an important task for quantum computing and quantum information. In this paper, by a family of one-generator quasi-cyclic codes, we provide quasi-cyclic extended constructions that preserve the self-orthogonality to obtain stabilizer quantum codes. As for the computational results, some binary and ternary stabilizer codes with good parameters are constructed. Moreover, we present methods to construct maximal-entanglement entanglement-assisted quantum codes by means of the class of quasi-cyclic codes and their extended codes. As an application, some good maximal-entanglement entanglement-assisted quantum codes are obtained and their parameters are compared.