Description
Rotor code whose codespace is defined as the common \(+1\) eigenspace of a group of mutually commuting rotor generalized Pauli operators. The stabilizer group can be either discrete or continuous, corresponding to modular or linear constraints on angular positions and momenta. Both cases can yield finite or infinite logical dimension. Exact codewords are non-normalizable, so approximate constructions have to be considered.
Parents
Children
- Homological rotor code — Homological rotor codes are rotor CSS codes constructed from chain complexes over the integers in an extension of the qubit CSS-to-homology correspondence to rotors.
- Five-rotor code
- Rotor GKP code
Cousin
- Calderbank-Shor-Steane (CSS) stabilizer code — A rotor stabilizer code admitting a set of generators such that each generator consists of either angular position or angular momentum operators is a CSS code.
Page edit log
- Victor V. Albert (2023-04-12) — most recent
Cite as:
“Rotor stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/rotor_stabilizer