Routed tile codes on a 2D nearest-neighbor grid achieve circuit-level thresholds of 0.11%-0.13% under SI1000 noise and become more qubit-efficient than the surface code below a physical error rate of 0.08%.
Haah, Algebraic methods for quantum codes on lattices, Revista Colombiana de Matemáticas50, 299 (2017)
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Strictly Local Tile-Code Architectures on Two-Dimensional Planar Lattices
Routed tile codes on a 2D nearest-neighbor grid achieve circuit-level thresholds of 0.11%-0.13% under SI1000 noise and become more qubit-efficient than the surface code below a physical error rate of 0.08%.