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Rotor cluster-state code[1]

Description

Rotor analogue of the qubit and analog cluster-state codes. The exact rotor cluster state is non-normalizable, so approximate constructions have to be considered. Defined from a real-valued weighted adjacency matrix of a graph [1].

Cousin

Member of code lists

Primary Hierarchy

Quantum Domain
Group quantum Kingdom
Group-based quantum codeQECC Quantum
Rotor code
Rotor stabilizer codeStabilizer Hamiltonian-based QECC Quantum
Parents
Rotor stabilizer code
Rotor cluster-state codes are particular rotor stabilizer codes.
Graph quantum codeStabilizer Hamiltonian-based QECC Quantum
Graph quantum codes for \(G=\mathbb{Z}\) reduce to rotor cluster-state codes.
Rotor cluster-state code

References

[1]
J. I. Kwon, A. J. Brady, and V. V. Albert, “Absolutely Maximal Entanglement in Continuous Variables”, (2025) arXiv:2503.15698
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Zoo Code ID: rotor_cluster

Cite as:
“Rotor cluster-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/rotor_cluster, arXiv:2606.11484
BibTeX:
@incollection{eczoo_rotor_cluster,
title={Rotor cluster-state 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/rotor_cluster}
}
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Permanent link:
https://errorcorrectionzoo.org/c/rotor_cluster

Cite as:

“Rotor cluster-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/rotor_cluster, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/groups/rotors/stabilizer/rotor_cluster.yml.