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3D Kitaev honeycomb code[1]

Description

3D subsystem stabilizer code whose Hamiltonian is a 3D generalization of the Kitaev honeycomb model. One of the phases realized by the 3D Kitaev honeycomb Hamiltonian is that of the 3D fermionic surface code [1].

Cousins

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Primary Hierarchy

Quantum Domain
Qubit Kingdom
Subsystem qubit codeSubsystem QECC Quantum
Subsystem qubit stabilizer codeSubsystem QECC Quantum
Parents
Subsystem qubit stabilizer code
Lattice subsystem codeSubsystem QECC Quantum
Abelian topological codeTopological Hamiltonian-based QECC Quantum
One of the phases realized by the 3D Kitaev honeycomb Hamiltonian is that of the 3D fermionic surface code [1].
3D Kitaev honeycomb code

References

[1]
S. Mandal and N. Surendran, “Exactly solvable Kitaev model in three dimensions”, Physical Review B 79, (2009) arXiv:0801.0229 DOI
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Zoo Code ID: 3d_kitaev_honeycomb

Cite as:
“3D Kitaev honeycomb code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/3d_kitaev_honeycomb
BibTeX:
@incollection{eczoo_3d_kitaev_honeycomb, title={3D Kitaev honeycomb code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/3d_kitaev_honeycomb} }
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Permanent link:
https://errorcorrectionzoo.org/c/3d_kitaev_honeycomb

Cite as:

“3D Kitaev honeycomb code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/3d_kitaev_honeycomb

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/subsystem/topological/honeycomb/3d_kitaev_honeycomb.yml.