Entry facet
Use cases & realizations
Where the code fits and what has been demonstrated.
Use cases & fit
Platforms: three-dimensional-local-interaction-architecture Hamiltonian-quantum-memory-model
Tasks: fracton-quantum-memory-theory finite-period-degeneracy-study three-dimensional-decoder-research
Physical realizations
three-dimensional commuting-projector spin Hamiltonian proposed
The translated X and Z cube checks define mutually commuting local Hamiltonian terms whose common ground space is the code space. This is a theoretical model definition, not a preparation circuit, repeated syndrome-extraction protocol, or laboratory demonstration; no primary experiment implementing exact CSS Code 1 was found as of 2026-08-09.
References: haah2011local, vijay2016fracton