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].

Parent

Cousin

References

[1]
M. Shi et al., “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
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Zoo Code ID: complex_hadamard

Cite as:
“Complex Hadamard spherical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/complex_hadamard
BibTeX:
@incollection{eczoo_complex_hadamard, title={Complex Hadamard spherical code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/complex_hadamard} }
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Permanent link:
https://errorcorrectionzoo.org/c/complex_hadamard

Cite as:

“Complex Hadamard spherical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/complex_hadamard

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/spherical/q-ary/complex_hadamard.yml.