Hamiltonian-based code whose Hamiltonian terms can be expressed as orthogonal projectors (i.e., Hermitian operators with eigenvalues 0 or 1) that commute with each other.
- Multi-fusion string-net code
- Quantum locally testable code (QLTC) — Quantum LTC codespaces are ground-state spaces of \(u\)-local commuting-projector Hamiltonians.
- Stabilizer code — Codespace is the ground-state space of the code Hamiltonian, which consists of an equal linear combination of stabilizer generators and which can be made into a commuting-projector Hamiltonian.
Page edit log
- Victor V. Albert (2023-05-15) — most recent
“Commuting-projector code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/commuting_projector