\(SU(3)\) spin code[1]
Description
An extension of Clifford single-spin codes to the group \(SU(3)\), whose codespace is a projection onto a particular irrep of a subgroup of \(SU(3)\) of an underlying spin that houses some particular irrep of \(SU(3)\).
Parents
- Single-spin code
- Group-representation code — \(SU(3)\) spin codes are group-representation codes with \(G\) being a subgroup of \(SU(3)\) [2].
Cousin
- \(((5,3,2))_3\) qutrit code — The \(((5,3,2))_3\) qutrit code can be interpreted as a \(SU(3)\) single-spin code.
References
- [1]
- X. Herbert, J. Gross, and M. Newman, “Qutrit codes within representations of SU(3)”, (2023) arXiv:2312.00162
- [2]
- A. Denys and A. Leverrier, “Quantum error-correcting codes with a covariant encoding”, (2024) arXiv:2306.11621
Page edit log
- Victor V. Albert (2023-12-07) — most recent
Cite as:
“\(SU(3)\) spin code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/su3_spin