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Subsystem modular-qudit code

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

Description

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

Cousin

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

Member of code lists

Primary Hierarchy

Quantum Domain
Modular-qudit Kingdom
Parents
Subsystem QECCQuantum
Subsystem modular-qudit code
Children
Subsystem qubit code
Subsystem modular-qudit codes reduce to subsystem qubit codes for qudit dimension \(q=2\).
Subsystem modular-qudit stabilizer code
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Zoo Code ID: subsystem_qudits_into_qudits

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qudits/subsystem_qudits_into_qudits.yml.