CPC code[1] 

Description

A qubit stabilizer code for which two binary linear codes are used to directly construct encoding and decoding circuits against \(X\)- and \(Z\)-type errors, respectively, via ZX calculus [2,3].

Parent

Child

  • Qubit CSS code — CSS codes are a subset of CPC codes [1], with the latter not requiring the two classical codes to be related.

Cousins

References

[1]
N. Chancellor et al., “Graphical structures for design and verification of quantum error correction”, Quantum Science and Technology 8, 045028 (2023) arXiv:1611.08012 DOI
[2]
B. Coecke and R. Duncan, “Interacting Quantum Observables”, Automata, Languages and Programming 298 DOI
[3]
B. Coecke and R. Duncan, “Interacting quantum observables: categorical algebra and diagrammatics”, New Journal of Physics 13, 043016 (2011) arXiv:0906.4725 DOI
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Zoo Code ID: cpc

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/cpc.yml.