Recent weeks have brought a range of new ideas in quantum error correction for fault tolerant-quantum computing, along with deeper exploration of their implications. We introduce a new approach: a method for achieving high-threshold decoding of non-Pauli codes aimed at two-dimensional universality. Our results suggest that genuinely non-Clifford quantum operations in two-dimensional codes can perform comparably to those of a simple quantum memory. Central to this framework is a just-in-time decoding strategy, which proves to be remarkably effective.
scirate.com/arxiv/2604.02033
Warm thanks to Julio Carlos Magdalena de la Fuente,
@noafeldman6, and Andreas Bauer of
@FU_Berlin,
@helmholtz_de Berlin and
@MIT for the collaboration.