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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.

Member of code lists

Primary Hierarchy

Quantum Domain
Qubit Kingdom
Subsystem qubit codeSubsystem QECC Quantum
Subsystem qubit stabilizer codeSubsystem QECC Quantum
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 codeHQECC QECC Quantum
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
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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.