Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes
Constructions 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 pres...
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| Veröffentlicht in: | Computational & applied mathematics 2021-12, Vol.40 (8), Article 283 |
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| creator | Lv, Jingjie Li, Ruihu Yao, Yu |
| description | Constructions 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. |
| doi_str_mv | 10.1007/s40314-021-01644-x |
| format | Article |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Applications of Mathematics Applied physics Binary system Codes Computational mathematics Computational Mathematics and Numerical Analysis Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Orthogonality Parameters Quantum computing Quantum entanglement Quantum phenomena |
| title | Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes |
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