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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.), 2025. https://errorcorrectionzoo.org/c/majorana_6_1_3
BibTeX:
@incollection{eczoo_majorana_6_1_3, title={\([[6,1,3]]_{f}\) Vijay-Fu Majorana code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, 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.), 2025. https://errorcorrectionzoo.org/c/majorana_6_1_3

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