Monte Carlo simulations of mapped 3D Z(2) x Z(2) gauge theories yield preliminary toric/surface code thresholds of about 0.68%, 6%, and 1.44% for three circuit-level noise models.
Algorithms for quantum computation: Discrete logarithms and factoring
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Quantum Error Correction and $Z(2)$ Lattice Gauge Theories
Monte Carlo simulations of mapped 3D Z(2) x Z(2) gauge theories yield preliminary toric/surface code thresholds of about 0.68%, 6%, and 1.44% for three circuit-level noise models.