Majorana subsystem stabilizer code[1] 

Description

A Majorana stabilizer code with some of its logical qubits denoted as gauge qubits and not used for storage of logical information.

Parent

Cousins

  • Majorana stabilizer code — Subsystem qubit stabilizer codes have been formulated in terms of Majorana operators [1].
  • Lattice subsystem code — Translationally invariant subsystem codes have been formulated in terms of Majorana operators [1].
  • Bacon-Shor code — Bacon-Shor codes can be fermionized into fermionic subsystem codes with two-body terms [1].
  • Subsystem color code — The 3D subsystem color code has a Majorana variant which supports a 2D Majorana color code on its surface [2].
  • Majorana color code — The 3D subsystem color code has a Majorana variant which supports a 2D Majorana color code on its surface [2].

References

[1]
A. Chapman, S. T. Flammia, and A. J. Kollár, “Free-Fermion Subsystem Codes”, (2022) arXiv:2201.07254
[2]
A. Kubica and B. Yoshida, “Ungauging quantum error-correcting codes”, (2018) arXiv:1805.01836
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Zoo Code ID: majorana_subsystem

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

“Majorana subsystem stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/majorana_subsystem

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/majorana/majorana_subsystem.yml.