Good stabilizer codes from quasi-cyclic codes over F4 and F9
| Autor: | San Ling, Buket Özkaya, Martianus Frederic Ezerman, Patrick Solé |
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| Přispěvatelé: | School of Physical and Mathematical Sciences, 2019 IEEE International Symposium on Information Theory (ISIT) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Current (mathematics) Quantum codes 020206 networking & telecommunications Quantum Physics 0102 computer and information sciences 02 engineering and technology Stabilizer (aeronautics) 01 natural sciences Hermitian matrix Construction X 010201 computation theory & mathematics Quantum mechanics Qubit 0202 electrical engineering electronic engineering information engineering Computer science and engineering::Information systems [Engineering] Hermitian Hull Qutrit Mathematics::Applied mathematics::Information theory [Science] Quantum |
| Zdroj: | ISIT |
| Popis: | We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over F 4 and F 9 to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current record. In numerous other occasions we obtain quantum codes with best-known performance. For the qutrit ones we supply a systematic construction to fill some gaps in the literature. Accepted version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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