Description
Quantum AG code constructed from Hermitian AG codes via the Galois-qudit Hermitian construction or the Galois-qudit CSS construction. The underlying classical codes can be constructed from one-point [1] or two-point [2] Hermitian curves (see also Ref. [3]).Cousins
- Hermitian code
- Asymmetric quantum code— Hermitian codes can be used to construct asymmetric Galois-qudit CSS codes [2].
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References
- [1]
- P. K. Sarvepalli and A. Klappenecker, “Nonbinary Quantum Codes from Hermitian Curves”, Lecture Notes in Computer Science 136 (2006) DOI
- [2]
- M. F. Ezerman and R. Kirov, “Nonbinary Quantum Codes from Two-Point Divisors on Hermitian Curves”, (2011) arXiv:1102.3605
- [3]
- L. Sok, “New families of quantum stabilizer codes from Hermitian self-orthogonal algebraic geometry codes”, (2021) arXiv:2110.00769
Page edit log
- Victor V. Albert (2025-06-05) — most recent
Cite as:
“Quantum Hermitian AG code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/quantum_hermitian_ag