Clifford group-representation QSC[1]
Description
Non-uniform QSC whose projection is onto a copy of an irreducible representation of the single-qubit Clifford group, taken as the binary octahedral subgroup of the group \(SU(2)\) of Gaussian rotations. Its codewords consist of non-uniform superpositions of 40 coherent states drawn from a 48-element Clifford-group orbit.Gates
The single-qubit Clifford group can be realized via Gaussian rotations. The \(T\) and \(CZ\) gates can be realized using quartic Kerr operations [1].Member of code lists
Primary Hierarchy
Parents
The Clifford group-representation QSC has non-uniform coefficients.
The Clifford group-representation QSC is a group-representation code with \(G\) being single-qubit Clifford group, taken as the binary octahedral subgroup of the group \(SU(2)\) of Gaussian rotations.
Clifford group-representation QSC
References
- [1]
- A. Denys and A. Leverrier, “Quantum Error-Correcting Codes with a Covariant Encoding”, Physical Review Letters 133, (2024) arXiv:2306.11621 DOI
Page edit log
- Victor V. Albert (2026-06-08) — most recent
- Victor V. Albert (2024-02-21)
Cite as:
“Clifford group-representation QSC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/clifford_qsc, arXiv:2606.11484