Entry facet
Use cases & realizations
Where the code fits and what has been demonstrated.
Use cases & fit
Platforms: nearest-neighbour-hexagonal-array trapped-ion-all-to-all neutral-atom-reconfigurable superconducting-planar-array
Tasks: fault-tolerant-memory transversal-Clifford-operations lattice-surgery
Physical realizations
trapped-ion seven-qubit triangular block demonstrated
The smallest triangular member was encoded and used for logical operations. This realizes the Steane/color-code intersection at fixed distance, not growth of the 6.6.6 family.
References: nigg2014topological
trapped-ion fault-tolerant logical processor demonstrated
Fault-tolerant Clifford primitives on small color-code blocks were combined with logical magic-state preparation and injection. The universal protocol includes the injected resource; it is not a universal transversal gate set of one two-dimensional patch.
References: postler2022universal
reconfigurable neutral-atom logical architecture demonstrated
Many small color-code blocks were moved and coupled through transversal logical operations inside a larger architecture. The experiment is a multi-block operation result, not an increasing-distance memory test.
References: bluvstein2024logical
superconducting triangular color-code processor demonstrated
Two finite code sizes were operated with repeated syndrome extraction, hardware-specific decoding, transversal Clifford gates, magic-state injection, and logical teleportation by surgery. Size scaling, gate benchmarks, and surgery are distinct claims with distinct observables.
References: lacroix2025scaling