Subsystem holographic code

Subsystem holographic code[1]

Alternative Names: Holographic hybrid code.

Description

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

Cousins

\([[5,1,3]]\) 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.

Subsystem holographic 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

Victor V. Albert (2026-06-08) — most recent
Victor V. Albert (2024-07-01)

Cite as:

“Subsystem holographic code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/holographic_subsystem, arXiv:2606.11484

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