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Monolithic quantum code

Description

A code constructed in a single quantum system, i.e., a physical space that is not treated as a tensor product of \(n\) identical subsystems. Examples include codes in a single qudit, spin, oscillator, or molecule.

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Primary Hierarchy

Quantum Domain
Quantum code
Operator-algebra QECC (OAQECC)
Quantum error-correcting code (QECC)
Parents
Quantum error-correcting code (QECC)
Monolithic quantum code
Children
Molecular code
Rotor GKP code
Single-mode bosonic code
Modular-qudit GKP code
Modular-qudit shift-resistant code
Single-spin code
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Zoo Code ID: single_subsystem

Cite as:
“Monolithic quantum code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/single_subsystem, arXiv:2606.11484
BibTeX:
@incollection{eczoo_single_subsystem,
title={Monolithic quantum 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/single_subsystem}
}
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Permanent link:
https://errorcorrectionzoo.org/c/single_subsystem

Cite as:

“Monolithic quantum code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/single_subsystem, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/properties/single_subsystem.yml.