Complex Hadamard spherical code[1]
Description
A spherical code obtained from particular complex Hadamard matrices [2].Protection
Covering radius can be bounded in terms of the code’s spherical design strength [1].Notes
Database of complex Hadamard matrices [3].Cousin
- Hermitian Galois-qudit code— Complex Hadamard matrices can be used to build Hermitian [2] and other [4] Galois-qudit stabilizer codes.
Member of code lists
Primary Hierarchy
Parents
Complex Hadamard spherical code
References
- [1]
- M. Shi, D. Lu, A. Armario, R. Egan, F. Ozbudak, and P. Solé, “Butson Hadamard matrices, bent sequences, and spherical codes”, (2023) arXiv:2311.00354
- [2]
- R. Egan, “A survey of complex generalized weighing matrices and a construction of quantum error-correcting codes”, (2023) arXiv:2309.07522
- [3]
- W. Tadej and K. Zyczkowski, “A concise guide to complex Hadamard matrices”, (2006) arXiv:quant-ph/0512154
- [4]
- B. Sarac and D. Acar, “A Construction of Quantum Stabilizer Codes from Classical Codes and Butson Hadamard Matrices”, (2024) arXiv:2407.13527
Page edit log
- Victor V. Albert (2026-06-08) — most recent
- Victor V. Albert (2024-07-07)
Cite as:
“Complex Hadamard spherical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/complex_hadamard, arXiv:2606.11484