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Subsystem lifted-product (SLP) code[1]

Description

Member of a family of subsystem CSS codes constructed from a subsystem hypergraph product of a lifted binary linear code.

Cousins

Member of code lists

Primary Hierarchy

Quantum Domain
Qubit Kingdom
Subsystem qubit codeSubsystem QECC Quantum
Subsystem qubit stabilizer codeSubsystem QECC Quantum
Subsystem qubit CSS codeSubsystem QECC Quantum
Parents
Subsystem qubit CSS code
Subsystem lifted-product (SLP) code
Children
Subsystem hypergraph product (SHP) code
SLP codes reduce to SHP codes when the lift is trivial.

References

[1]
O. Novak and N. Rengaswamy, “GNarsil: Splitting Stabilizers into Gauges”, 2024 IEEE International Conference on Quantum Computing and Engineering (QCE) 109 (2024) arXiv:2404.18302 DOI
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Zoo Code ID: subsystem_lifted_product

Cite as:
“Subsystem lifted-product (SLP) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/subsystem_lifted_product, arXiv:2606.11484
BibTeX:
@incollection{eczoo_subsystem_lifted_product,
title={Subsystem lifted-product (SLP) 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/subsystem_lifted_product}
}
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Permanent link:
https://errorcorrectionzoo.org/c/subsystem_lifted_product

Cite as:

“Subsystem lifted-product (SLP) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/subsystem_lifted_product, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/subsystem/qldpc/homological/subsystem_lifted_product.yml.