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Subsystem qubit code

Alternative names: Gauge qubit code.
Root code for the Qubit Kingdom

Description

Subsystem QECC encoding into a \(2^n\)-dimensional (i.e., \(n\)-qubit) Hilbert space.

Cousin

  • Qubit code— Subsystem qubit codes reduce to (subspace) qubit codes when there is no gauge subsystem.

Member of code lists

Primary Hierarchy

Parents
An OA qubit code which has gauge structure (e.g., gauge qubits) but no block structure is a subsystem qubit code.
Subsystem modular-qudit codes reduce to subsystem qubit codes for qudit dimension \(q=2\).
Subsystem Galois-qudit quantum codes for \(q=2\) correspond to subsystem qubit codes.
Subsystem qubit code
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Zoo Code ID: subsystem_qubits_into_qubits

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

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/subsystem_qubits_into_qubits.yml.