Quantum Codes and Entanglement-Assisted Quantum Codes Derived from One-Generator Quasi-Twisted Codes
| Autor: | Jingjie Lv, Yu Yao, Yuena Ma |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Class (set theory) Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Algebraic structure General Mathematics Quantum entanglement Construct (python library) 01 natural sciences Hermitian matrix Algebra Finite field Product (mathematics) 0103 physical sciences 010306 general physics Generator (mathematics) |
| Zdroj: | International Journal of Theoretical Physics. 60:1077-1089 |
| ISSN: | 1572-9575 0020-7748 |
| DOI: | 10.1007/s10773-021-04732-0 |
| Popis: | In this paper, we consider a special class of one-generator quasi-twisted (QT) codes of index 2 and explore their algebraic structure. By studying the form of Hermitian dual codes, a sufficient condition for self-orthogonality with Hermitian inner product is proposed. Using some one-generator QT codes, we construct some quantum codes on small finite fields. Moreover, a new method is provided to construct maximal-entanglement entanglement-assisted quantum codes via the class of QT codes. By comparison, our quantum codes and maximal-entanglement entanglement-assisted quantum codes have better parameters than any known codes. |
| Databáze: | OpenAIRE |
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