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Modular-qudit dynamical code

Alternative names: Modular-qudit DA code, Modular-qudit aperiodic Floquet code.

Description

Dynamically generated stabilizer-based modular-qudit code whose (not necessarily periodic) sequence of few-body measurements implements state initialization, logical gates and error detection.

Cousins

  • Random stabilizer code— Dynamical codes admit instantaneous stabilizer groups, and dynamical code state initialization, logical gates, and error correction are done by a sequence of different (usually weight-two) stabilizer measurements.
  • Lattice stabilizer code— Dynamical codes are typically defined on 2D and 3D lattices, but they are not conventional stabilizer codes in that they use code switching for error correction and gates.

Primary Hierarchy

Parents
Dynamical code state initialization, logical gates, and error correction are done by a sequence of different (usually weight-two) stabilizer measurements.
Modular-qudit dynamical code
Children
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Zoo Code ID: qudit_da

Cite as:
“Modular-qudit dynamical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/qudit_da
BibTeX:
@incollection{eczoo_qudit_da, title={Modular-qudit dynamical code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/qudit_da} }
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Permanent link:
https://errorcorrectionzoo.org/c/qudit_da

Cite as:

“Modular-qudit dynamical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/qudit_da

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