Capped color code (CCC)[1] 

Description

A non-geometrically local subsystem color code consisting of two layers of 2D color code stacked together and topped (or capped) by a single qubit. Gauge fixing yields two types of codes, capped color codes in H or T form. Layers of 2D color codes can also be stacked together in a recursive construction, yielding recursive capped color codes (RCCCs).

Transversal Gates

Capped color codes in H (T) form admit a transversal Hadamard (T) gate.

Fault Tolerance

Fault-tolerant syndrome extraction and error correction for capped color codes in H form [1].Fault-tolerant T gate implementation [1].

Parent

References

[1]
T. Tansuwannont and D. Leung, “Achieving Fault Tolerance on Capped Color Codes with Few Ancillas”, PRX Quantum 3, (2022) arXiv:2106.02649 DOI
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Zoo Code ID: capped_color

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

Cite as:

“Capped color code (CCC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/capped_color

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/subsystem/topological/color/capped_color.yml.