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quant-ph2023★ 29 cited
Constructions and performance of hyperbolic and semi-hyperbolic Floquet codes
Oscar Higgott, Nikolas P. Breuckmann
We construct families of Floquet codes derived from colour code tilings of closed hyperbolic surfaces. These codes have weight-two check operators, a finite encoding rate and can b…
quant-ph2023★ 111 cited
Sparse Blossom: correcting a million errors per core second with minimum-weight matching
Oscar Higgott, Craig Gidney
In this work, we introduce a fast implementation of the minimum-weight perfect matching (MWPM) decoder, the most widely used decoder for several important families of quantum error…