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Auxiliary qubit mapping (AQM) code[1,2]

Description

A concatenation of the JW transformation code with a qubit stabilizer code.

Cousin

Member of code lists

Primary Hierarchy

Quantum Domain
Qubit Kingdom
Qubit codeQECC Quantum
Union stabilizer (USt) codeQECC Quantum
Qubit stabilizer codeStabilizer Hamiltonian-based Qubit QECC Quantum
Fermion-into-qubit code
Parents
Fermion-into-qubit code
Concatenated qubit codeQubit Concatenated quantum QECC Quantum
Auxiliary qubit mapping (AQM) code

References

[1]
M. Steudtner and S. Wehner, “Fermion-to-qubit mappings with varying resource requirements for quantum simulation”, New Journal of Physics 20, 063010 (2018) arXiv:1712.07067 DOI
[2]
M. Steudtner and S. Wehner, “Quantum codes for quantum simulation of fermions on a square lattice of qubits”, Physical Review A 99, (2019) arXiv:1810.02681 DOI
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Zoo Code ID: aqm

Cite as:
“Auxiliary qubit mapping (AQM) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/aqm, arXiv:2606.11484
BibTeX:
@incollection{eczoo_aqm,
title={Auxiliary qubit mapping (AQM) 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/aqm}
}
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Permanent link:
https://errorcorrectionzoo.org/c/aqm

Cite as:

“Auxiliary qubit mapping (AQM) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/aqm, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/fermion_into_qubit/aqm.yml.