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Holographic hybrid code[1]

Alternative names: 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.

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.

Primary Hierarchy

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

References

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

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.