Holographic hybrid code[1] 

Also known as Subsystem holographic code.

Description

Holographic tensor-network code constructed out of alternating isometries of the five-qubit and \([[4,1,1,2]]\) Bacon-Shor codes.

Parents

  • Subsystem qubit stabilizer code — The holographic hybrid code is constructed out of alternating isometries of the five-qubit and \([[4,1,1,2]]\) Bacon-Shor codes.
  • Holographic tensor-network code — The holographic hybrid code is constructed out of alternating isometries of the five-qubit and \([[4,1,1,2]]\) Bacon-Shor codes.

Cousins

  • Five-qubit perfect code — The holographic hybrid code is constructed out of alternating isometries of the five-qubit and \([[4,1,1,2]]\) Bacon-Shor codes.
  • \([[4,1,1,2]]\) Four-qubit subsystem code — The holographic hybrid code is constructed out of alternating isometries of the five-qubit and \([[4,1,1,2]]\) Bacon-Shor codes.

References

[1]
C. Cao and B. Lackey, “Approximate Bacon-Shor code and holography”, Journal of High Energy Physics 2021, (2021) arXiv:2010.05960 DOI
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Zoo Code ID: holographic_subsystem

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

Cite as:

“Holographic hybrid code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/holographic_subsystem

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/holographic/holographic_subsystem.yml.