\(((7,2))\) QETC[1] 

Description

Seven-qubit QETC that transmutes all single-qubit Pauli errors to logical phase errors. See [1; Table 1] for its stabilizer generators.

Its stabilizer group, together with the logical-\(Z\) operator on the first logical qubit, generate the stabilizer group of one of the sixteen distinct \([[7,1,3]]\) codes [2].

Parent

References

[1]
D. Zhang and T. Cubitt, “Quantum Error Transmutation”, (2023) arXiv:2310.10278
[2]
S. Yu, Q. Chen, and C. H. Oh, “Graphical Quantum Error-Correcting Codes”, (2007) arXiv:0709.1780
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Zoo Code ID: qetc_7_2

Cite as:
“\(((7,2))\) QETC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/qetc_7_2
BibTeX:
@incollection{eczoo_qetc_7_2, title={\(((7,2))\) QETC}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/qetc_7_2} }
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Permanent link:
https://errorcorrectionzoo.org/c/qetc_7_2

Cite as:

“\(((7,2))\) QETC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/qetc_7_2

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/qetc/qetc_7_2.yml.