Clifford group-representation QSC[1]
Description
QSC whose projection is onto a copy of an irreducible representation of the single-qubit Clifford group \(2O\), taken as the binary octahedral subgroup of the group \(SU(2)\) of Gaussian rotations. Its codewords consist of non-uniform superpositions of 48 coherent states.
Gates
The Clifford group \(2O\) can be realized via Gaussian rotations. The \(T\) and \(CZ\) gates can be realized using quartic Kerr operations [1].
Parents
- Quantum spherical code (QSC) — The Clifford group-representation QSC has non-uniform coefficients.
- Group-representation code — The Clifford group-representation QSC is a group-representation code with \(G\) being the binary octahedral subgroup of \(SU(2)\).
References
- [1]
- A. Denys and A. Leverrier, “Multimode bosonic cat codes with an easily implementable universal gate set”, (2023) arXiv:2306.11621
Page edit log
- Victor V. Albert (2024-02-21) — most recent
Cite as:
“Clifford group-representation QSC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/clifford_qsc