  Fault-tolerant quantum computation relies on scaling up quantum error
correcting codes in order to suppress the error rate on the encoded quantum
states. Topological codes, such as the surface code or color codes are leading
candidates for practical scalable quantum error correction and require
efficient and scalable decoders. In this work, we propose and study the
efficiency of a decoder for 2D topological color codes on the 4.8.8 lattice, by
building on the work of [1] for color codes on hexagonal lattices. The decoder
is based on a rescaling approach, in which syndrome information on a part of
the qubit lattice is processed locally, and then the lattice is rescaled
iteratively to smaller sizes. We find a threshold of 6.0% for code capacity
noise.

Quantum Physics