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.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].
- Qubit stabilizer code— The B\(\mapsto\)F mapping yields Majorana subsystem codes from qubit stabilizer codes such that their gauge groups contain tetrons [4][3; Sec. IV]. The output Majorana subsystem codes can correct odd-weight errors.
- Tetron code— The B\(\mapsto\)F mapping yields Majorana subsystem codes from qubit stabilizer codes such that their gauge groups contain tetrons [4][3; Sec. IV]. The output Majorana subsystem codes can correct odd-weight errors.
Member of code lists
Primary Hierarchy
Parents
Subsystem qubit stabilizer codes have been formulated in terms of Majorana operators [1].
Majorana subsystem stabilizer code
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
- [3]
- S. Kundu and B. W. Reichardt, “Majorana qubit codes that also correct odd-weight errors”, (2023) arXiv:2311.01779
- [4]
- S. Kundu and B. Reichardt, “Majorana subsystem qubit codes that also correct odd-weight errors”, New Journal of Physics 26, 073029 (2024) DOI
Page edit log
- Victor V. Albert (2024-07-09) — most recent
Cite as:
“Majorana subsystem stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/majorana_subsystem