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Subsystem stabilizer code

Description

A subsystem code that is derived from a stabilizer code by assigning some factors of the stabilizer code’s logical tensor-product structure to gauge degrees of freedom.

Cousin

  • Stabilizer code— Subsystem stabilizer codes reduce to stabilizer codes when there are no gauge degrees of freedom.

Member of code lists

Primary Hierarchy

Quantum Domain
Group quantum Kingdom
Subsystem group-based quantum codeSubsystem QECC Quantum
Parents
Subsystem group-based quantum code
Subsystem stabilizer code
Children
QLDPC subsystem codeLattice subsystem
Subsystem modular-qudit stabilizer code
Subsystem Galois-qudit stabilizer code
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Zoo Code ID: subsystem_stabilizer

Cite as:
“Subsystem stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/subsystem_stabilizer
BibTeX:
@incollection{eczoo_subsystem_stabilizer, title={Subsystem stabilizer code}, booktitle={The Error Correction Zoo}, year={2026}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/subsystem_stabilizer} }
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Permanent link:
https://errorcorrectionzoo.org/c/subsystem_stabilizer

Cite as:

“Subsystem stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/subsystem_stabilizer

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/groups/subsystem/subsystem_stabilizer.yml.