Quantum pin code[1] 

Description

Member of a family of CSS codes that encompasses both quantum Reed-Muller and color codes and that is defined using intersections of pinned sets.

Magic

A family of punctured pin codes admits \(\gamma \approx 1.6\) [1; Table VII].

Parents

Children

Cousin

  • Subsystem color code — Quantum pin codes have a subsystem version that can be viewed as a generalization of subsystem color codes [1].

References

[1]
C. Vuillot and N. P. Breuckmann, “Quantum Pin Codes”, IEEE Transactions on Information Theory 68, 5955 (2022) arXiv:1906.11394 DOI
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Zoo Code ID: quantum_pin

Cite as:
“Quantum pin code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/quantum_pin
BibTeX:
@incollection{eczoo_quantum_pin, title={Quantum pin code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/quantum_pin} }
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Permanent link:
https://errorcorrectionzoo.org/c/quantum_pin

Cite as:

“Quantum pin code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/quantum_pin

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