\(((10,24,3))\) qubit code[1] 

Description

Ten-qubit CWS code that is unique and optimal for its parameters.

The \(((10,24,3))\) qubit code can be combined to from an infinite family of distance-three qubit codes whose logical dimension is \(50\%\) larger than that of the optimal stabilizer code [2].

Parents

References

[1]
S. Yu, Q. Chen, and C. H. Oh, “Graphical Quantum Error-Correcting Codes”, (2007) arXiv:0709.1780
[2]
S. Yu, Q. Chen, and C. H. Oh, “Two infinite families of nonadditive quantum error-correcting codes”, (2009) arXiv:0901.1935
[3]
Cross, Andrew William. Fault-tolerant quantum computer architectures using hierarchies of quantum error-correcting codes. Diss. Massachusetts Institute of Technology, 2008.
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Zoo Code ID: qubit_10_24_3

Cite as:
“\(((10,24,3))\) qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/qubit_10_24_3
BibTeX:
@incollection{eczoo_qubit_10_24_3, title={\(((10,24,3))\) qubit code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/qubit_10_24_3} }
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https://errorcorrectionzoo.org/c/qubit_10_24_3

Cite as:

“\(((10,24,3))\) qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/qubit_10_24_3

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/nonstabilizer/union_stabilizer/cws/qubit_10_24_3.yml.