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Subsystem rotated surface code[1]

Description

Subsystem version of the rotated surface code.

For example, a \([[3d^2-2d,1,d]]\) family admits weight-six \(X,Z\)-type stabilizer generators on hexagonal plaquettes and weight-three gauge generators on bow-tie shaped regions on the dual lattice.

Cousins

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Primary Hierarchy

Quantum Domain
Qubit Kingdom
Subsystem qubit codeSubsystem QECC Quantum
Subsystem qubit stabilizer codeSubsystem QECC Quantum
Subsystem CSS codeSubsystem QECC Quantum
Parents
Subsystem CSS code
Lattice subsystem codeSubsystem QECC Quantum
Subsystem rotated surface code

References

[1]
N. C. Brown, M. Newman, and K. R. Brown, “Handling leakage with subsystem codes”, New Journal of Physics 21, 073055 (2019) arXiv:1903.03937 DOI
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Zoo Code ID: subsystem_rotated_surface

Cite as:
“Subsystem rotated surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/subsystem_rotated_surface
BibTeX:
@incollection{eczoo_subsystem_rotated_surface, title={Subsystem rotated surface code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/subsystem_rotated_surface} }
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Permanent link:
https://errorcorrectionzoo.org/c/subsystem_rotated_surface

Cite as:

“Subsystem rotated surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/subsystem_rotated_surface

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