\([[7,1,3]]\) bare code[1] 

Description

A \([[7,1,3]]\) code that admits fault-tolerant syndrome extraction using only one ancilla per stabilizer generator measurement.

It is one of sixteen distinct \([[7,1,3]]\) codes [2].

Decoding

Fault-tolerant syndrome extraction using only one ancilla per stabilizer generator measurement.

Parents

References

[1]
M. Li, M. Gutiérrez, S. E. David, A. Hernandez, and K. R. Brown, “Fault tolerance with bare ancillary qubits for a [[7,1,3]] code”, Physical Review A 96, (2017) arXiv:1702.01155 DOI
[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: bare_7_1_3

Cite as:
\([[7,1,3]]\) bare code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/bare_7_1_3
BibTeX:
@incollection{eczoo_bare_7_1_3, title={\([[7,1,3]]\) bare code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/bare_7_1_3} }
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Permanent link:
https://errorcorrectionzoo.org/c/bare_7_1_3

Cite as:

\([[7,1,3]]\) bare code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/bare_7_1_3

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/small_distance/small/7/bare_7_1_3.yml.