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Subsystem Galois-qudit code

Alternative names: Gauge Galois-qudit code.
Root code for the Galois-qudit Kingdom

Description

Subsystem QECC encoding into a \(q^n\)-dimensional Hilbert space consisting of \(n\) Galois qudits.

Cousin

  • Galois-qudit code— Subsystem Galois-qudit codes reduce to (subspace) Galois-qudit codes when there is no gauge subsystem.

Member of code lists

Primary Hierarchy

Quantum Domain
Galois-qudit Kingdom
Parents
Subsystem QECCQuantum
Subsystem Galois-qudit code
Children
Subsystem qubit code
Subsystem Galois-qudit quantum codes for \(q=2\) correspond to subsystem qubit codes.
Subsystem Galois-qudit stabilizer code
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Zoo Code ID: subsystem_galois_into_galois

Cite as:
“Subsystem Galois-qudit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/subsystem_galois_into_galois
BibTeX:
@incollection{eczoo_subsystem_galois_into_galois, title={Subsystem Galois-qudit code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/subsystem_galois_into_galois} }
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Permanent link:
https://errorcorrectionzoo.org/c/subsystem_galois_into_galois

Cite as:

“Subsystem Galois-qudit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/subsystem_galois_into_galois

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qudits_galois/subsystem_galois_into_galois.yml.