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Concatenated c-q code

Description

A c-q code constructed out of two classical or quantum codes for the purposes of transmission of classical information over quantum channels.

Rate

Concatenated codes can achieve Holevo capacity [1].

Cousins

Member of code lists

Primary Hierarchy

Classical-quantum Domain
Classical-quantum (c-q) code
Parents
Classical-quantum (c-q) code
Concatenated c-q code
Children
Hadamard BPSK c-q code
The Hadamard BPSK c-q code can be thought of as a concatenation of the Hadamard binary linear code with BPSK for the purposes of transmission of classical information over quantum channels.

References

[1]
S. Guha, Z. Dutton, and J. H. Shapiro, “On quantum limit of optical communications: Concatenated codes and joint-detection receivers”, 2011 IEEE International Symposium on Information Theory Proceedings 274 (2011) arXiv:1102.1963 DOI
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Zoo Code ID: concatenated_c-q

Cite as:
“Concatenated c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/concatenated_c-q
BibTeX:
@incollection{eczoo_concatenated_c-q, title={Concatenated c-q code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/concatenated_c-q} }
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Permanent link:
https://errorcorrectionzoo.org/c/concatenated_c-q

Cite as:

“Concatenated c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/concatenated_c-q

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical_into_quantum/concatenated_c-q.yml.