Hexagonal matching codes with two-body measurements

Abstract Matching codes are stabilizer based on Kitaev’s honeycomb lattice model. The hexagonal form of these particularly well-suited to the heavy-hexagon device layouts currently pursued in hardware IBM quantum. Here we show how stabilizers code can be measured solely through two-body measurements that native architecture. Though subsystem formed by has a trivial space, sequence which they allows desired logical subspace preserved. This therefore achieves result similar recently introduced Floquet codes, but via completely different method. process is then run 27 and 65 qubit devices, compare results with simulations for standard error It found correspond well where noise strength benchmarking devices. best devices consistent model an probability around 1.5%–2%.