Modular-qudit subsystem color code[1]
Description
An extension of subsystem color codes to modular qudits. Codes are defined analogous to qubit subsystem color codes, but a directionality is required in order to make the modular-qudit stabilizer commute [1; Sec. VII].
Gates
A logical Hadamard gate can be achieved by gauge fixing, which yields universal computation [1; Sec. VI].
Parents
- Subsystem modular-qudit CSS code
- Lattice subsystem code — Modular-qudit subsystem color codes are defined analogous to qubit subsystem color codes on suitable lattices of any spatial dimension, but a directionality is required in order to make the modular-qudit stabilizers commute [1; Sec. VII].
Child
- Subsystem color code — Modular-qudit subsystem color codes reduce to subsystem color codes for \(q=2\).
Cousin
References
- [1]
- F. H. E. Watson et al., “Qudit color codes and gauge color codes in all spatial dimensions”, Physical Review A 92, (2015) arXiv:1503.08800 DOI
Page edit log
- Victor V. Albert (2024-03-03) — most recent
Cite as:
“Modular-qudit subsystem color code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/qudit_subsystem_color