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\([[6,1,3]]_{f}\) Vijay-Fu Majorana code[1]

Description

A Majorana stabilizer code encoding a logical fermion into six physical fermions. This code is the shortest code correcting single fermion-parity flips [1].

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Primary Hierarchy

Quantum Domain
Qubit Kingdom
Qubit codeQECC Quantum
Fermion code
Majorana stabilizer codeStabilizer Hamiltonian-based Qubit QECC Quantum
Parents
Majorana stabilizer code
Small-distance qubit stabilizer codeStabilizer Hamiltonian-based Qubit Small-distance block quantum QECC Quantum
\([[6,1,3]]_{f}\) Vijay-Fu Majorana code

References

[1]
S. Vijay and L. Fu, “Quantum Error Correction for Complex and Majorana Fermion Qubits”, (2017) arXiv:1703.00459
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Zoo Code ID: majorana_6_1_3

Cite as:
“\([[6,1,3]]_{f}\) Vijay-Fu Majorana code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/majorana_6_1_3, arXiv:2606.11484
BibTeX:
@incollection{eczoo_majorana_6_1_3,
title={\([[6,1,3]]_{f}\) Vijay-Fu Majorana code},
booktitle={The Error Correction Zoo},
year={2026},
editor={Albert, Victor V. and Faist, Philippe},
eprint={2606.11484},
doi={10.48550/arXiv.2606.11484},
url={https://errorcorrectionzoo.org/c/majorana_6_1_3}
}
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Permanent link:
https://errorcorrectionzoo.org/c/majorana_6_1_3

Cite as:

“\([[6,1,3]]_{f}\) Vijay-Fu Majorana code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/majorana_6_1_3, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/majorana/majorana_6_1_3.yml.