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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 an real-valued weighed adjacency matrix of a graph [1].

Cousin

Member of code lists

Primary Hierarchy

Quantum Domain
Group 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.
Group-based cluster-state codeQECC Quantum
Rotor cluster states are group-based cluster states for \(G=\mathbb{Z}\).
Rotor cluster-state code

References

[1]
J. I. Kwon, A. J. Brady, and V. V. Albert, “Most continuous-variable cluster states are too entangled to be useless”, (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.), 2023. https://errorcorrectionzoo.org/c/rotor_cluster
BibTeX:
@incollection{eczoo_rotor_cluster, title={Rotor cluster-state code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, 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.), 2023. https://errorcorrectionzoo.org/c/rotor_cluster

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