Quantum error-correcting codes over small fields from AG codes
From MaRDI portal
Publication:6616850
DOI10.1007/978-3-031-52969-6_36MaRDI QIDQ6616850
Fernando L. Piñero-González, Heeralal Janwa
Publication date: 9 October 2024
quantum error-correcting codesHermitiansubfield subcodesAG codesquasi-HermitianSuzuki curvesGiuletti-Korchmaros curve
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Quantum coding (general) (81P70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum error-correcting codes from algebraic geometry codes of castle type
- Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
- Nonbinary quantum error-correcting codes from algebraic curves
- On codes from norm-trace curves
- AG codes and AG quantum codes from the GGS curve
- Good and asymptotically good quantum codes derived from algebraic geometry
- AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves
- On parameters of subfield subcodes of extended norm-trace codes
- On the subfield subcodes of Hermitian codes
- On steane-enlargement of quantum codes from Cartesian product point sets
- On the dimension of subfield subcodes
- Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Quantum Error Correction: Classic Group Theory Meets a Quantum Challenge
- Quantum Error Correction and Orthogonal Geometry
- Quantum error detection .I. Statement of the problem
- Nonbinary quantum stabilizer codes
- Quantum error correction via codes over GF(4)
- Quantum codes from superelliptic curves
- High Performance Single-Error-Correcting Quantum Codes for Amplitude Damping
- Quantum Stabilizer Codes From Maximal Curves
- Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
This page was built for publication: Quantum error-correcting codes over small fields from AG codes
