Matching code[1] 

Description

Member of a class of qubit stabilizer codes based on the abelian phase of the Kitaev honeycomb model.

Realizations

Braiding of defects has been demonstrated for a five-qubit version of code [2].

Parents

Child

Cousin

  • Kitaev honeycomb code — Matching codes were inspired by the \(\mathbb{Z}_2\) topological order phase of the Kitaev honeycomb model [3].

References

[1]
J. R. Wootton, “A family of stabilizer codes for \(D({{\mathbb{Z}}_{2}})\) anyons and Majorana modes”, Journal of Physics A: Mathematical and Theoretical 48, 215302 (2015) arXiv:1501.07779 DOI
[2]
J. R. Wootton, “Demonstrating non-Abelian braiding of surface code defects in a five qubit experiment”, Quantum Science and Technology 2, 015006 (2017) arXiv:1609.07774 DOI
[3]
A. Kitaev, “Anyons in an exactly solved model and beyond”, Annals of Physics 321, 2 (2006) arXiv:cond-mat/0506438 DOI
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Zoo Code ID: matching

Cite as:
“Matching code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2021. https://errorcorrectionzoo.org/c/matching
BibTeX:
@incollection{eczoo_matching,
  title={Matching code},
  booktitle={The Error Correction Zoo},
  year={2021},
  editor={Albert, Victor V. and Faist, Philippe},
  url={https://errorcorrectionzoo.org/c/matching}
}
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Permanent link:
https://errorcorrectionzoo.org/c/matching

Cite as:

“Matching code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2021. https://errorcorrectionzoo.org/c/matching

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/qubits/stabilizer/topological/matching.yml.